From eb360ac269f09f32fe36f951679d0df57e6e1844 Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 15:22:40 +0100 Subject: [PATCH 01/30] make dt and t Functions on the Real space --- gusto/core/configuration.py | 6 +++++- gusto/core/domain.py | 9 +++++---- 2 files changed, 10 insertions(+), 5 deletions(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index 252f25187..32727f70f 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -77,7 +77,11 @@ def __setattr__(self, name, value): # Almost all parameters should be Constants -- but there are some # specific exceptions which should be kept as integers if type(value) in [float, int] and name not in ['dumpfreq', 'pddumpfreq', 'chkptfreq']: - object.__setattr__(self, name, Constant(value)) + object.__setattr__(self, name, value) + # DO NOT MERGE + # Adjoint is a bit twitchy with Constants so let's not make them + # for now + #object.__setattr__(self, name, Constant(value)) else: object.__setattr__(self, name, value) diff --git a/gusto/core/domain.py b/gusto/core/domain.py index 0cf23fb7f..0ec37269c 100644 --- a/gusto/core/domain.py +++ b/gusto/core/domain.py @@ -8,7 +8,7 @@ from gusto.core.function_spaces import Spaces, check_degree_args from firedrake import (Constant, SpatialCoordinate, sqrt, CellNormal, cross, inner, grad, VectorFunctionSpace, Function, FunctionSpace, - perp) + perp, CoordinatelessFunction) import numpy as np @@ -58,15 +58,16 @@ def __init__(self, mesh, dt, family, degree=None, # -------------------------------------------------------------------- # # Store central dt for use in the rest of the model + R = FunctionSpace(mesh, "R", 0) if type(dt) is Constant: - self.dt = dt + self.dt = Function(R, val=float(dt)) elif type(dt) in (float, int): - self.dt = Constant(dt) + self.dt = Function(R, val=dt) else: raise TypeError(f'dt must be a Constant, float or int, not {type(dt)}') # Make a placeholder for the time - self.t = Constant(0.0) + self.t = Function(R, val=0.0) # -------------------------------------------------------------------- # # Build compatible function spaces From 93ad1cf1f4fe9c172f8d2bcc48643c735628098a Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 15:44:21 +0100 Subject: [PATCH 02/30] sort out value of t in timestepper --- gusto/timestepping/timestepper.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gusto/timestepping/timestepper.py b/gusto/timestepping/timestepper.py index d4f63be8a..81209993c 100644 --- a/gusto/timestepping/timestepper.py +++ b/gusto/timestepping/timestepper.py @@ -189,7 +189,7 @@ def run(self, t, tmax, pick_up=False): self.timestep() - self.t.assign(self.t + self.dt) + self.t.assign(float(self.t) + float(self.dt)) self.step += 1 with timed_stage("Dump output"): From b54f3bda0178b430cacaa7f2b0261973ca1502bb Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 15:53:35 +0100 Subject: [PATCH 03/30] more Functions in R instead of Constants --- gusto/time_discretisation/time_discretisation.py | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/gusto/time_discretisation/time_discretisation.py b/gusto/time_discretisation/time_discretisation.py index c0438295c..34fd535c3 100644 --- a/gusto/time_discretisation/time_discretisation.py +++ b/gusto/time_discretisation/time_discretisation.py @@ -9,7 +9,7 @@ import math from firedrake import (Function, TestFunction, TestFunctions, DirichletBC, - Constant, NonlinearVariationalProblem, + NonlinearVariationalProblem, NonlinearVariationalSolver) from firedrake.fml import (replace_subject, replace_test_function, Term, all_terms, drop) @@ -71,10 +71,8 @@ def __init__(self, domain, field_name=None, solver_parameters=None, self.field_name = field_name self.equation = None - self.dt = Constant(0.0) - self.dt.assign(domain.dt) - self.original_dt = Constant(0.0) - self.original_dt.assign(self.dt) + self.dt = Function(domain.dt.function_space(), val=domain.dt) + self.original_dt = Function(domain.dt.function_space(), val=self.dt) self.options = options self.limiter = limiter self.courant_max = None From 998deb6081ef95a033207606a3a001ae5e75d72d Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 15:54:10 +0100 Subject: [PATCH 04/30] adjoint diffusion example --- examples/adjoint/diffusion.py | 50 ++++++++++++++++++++++ gusto/spatial_methods/diffusion_methods.py | 3 +- 2 files changed, 52 insertions(+), 1 deletion(-) create mode 100644 examples/adjoint/diffusion.py diff --git a/examples/adjoint/diffusion.py b/examples/adjoint/diffusion.py new file mode 100644 index 000000000..fb820d189 --- /dev/null +++ b/examples/adjoint/diffusion.py @@ -0,0 +1,50 @@ +from firedrake import * +from firedrake.adjoint import * +from gusto import * +continue_annotation() + +n = 30 +mesh = PeriodicUnitSquareMesh(n, n) +output = OutputParameters(dirname="adjoint_diffusion") +dt = 0.01 +domain = Domain(mesh, dt, family="BDM", degree=1) +io = IO(domain, output) + +V = VectorFunctionSpace(mesh, "CG", 2) +domain.spaces.add_space("vecCG", V) + +nu = Constant(0.0001, domain=mesh) +diffusion_params = DiffusionParameters(kappa=nu) +eqn = DiffusionEquation(domain, V, "f", diffusion_parameters=diffusion_params) + +diffusion_scheme = BackwardEuler(domain) +diffusion_methods = [CGDiffusion(eqn, "f", diffusion_params)] +timestepper = Timestepper(eqn, diffusion_scheme, io, spatial_methods=diffusion_methods) + +x = SpatialCoordinate(mesh) +fexpr = as_vector((sin(2*pi*x[0]), cos(2*pi*x[1]))) +timestepper.fields("f").interpolate(fexpr) + +end = 0.1 +timestepper.run(0., end) + +u = timestepper.fields("f") +J = assemble(inner(u, u)*dx) + +# flag to switch between nu and u for control variable +nu_is_control = True +if nu_is_control: + my_control = Control(nu) + h = Constant(0.0001) # the direction of the perturbation +else: + my_control = Control(u) + h = Function(V).interpolate(fexpr) # the direction of the perturbation + +# dJdnu = compute_gradient(J, my_control) + +Jhat = ReducedFunctional(J, my_control) # the functional as a pure function of nu + +if nu_is_control: + conv_rate = taylor_test(Jhat, nu, h) +else: + conv_rate = taylor_test(Jhat, u, h) diff --git a/gusto/spatial_methods/diffusion_methods.py b/gusto/spatial_methods/diffusion_methods.py index c36fe1be3..a79df20d8 100644 --- a/gusto/spatial_methods/diffusion_methods.py +++ b/gusto/spatial_methods/diffusion_methods.py @@ -160,4 +160,5 @@ def __init__(self, equation, variable, diffusion_parameters): kappa = diffusion_parameters.kappa self.form = diffusion(kappa * self.test.dx(0) * self.field.dx(0) * dx) else: - raise NotImplementedError("CG diffusion only implemented in 1D") + kappa = diffusion_parameters.kappa + self.form = diffusion(kappa * inner(grad(self.test), grad(self.field)) * dx) From 209d056ae5ebd9d4ceac083b8b55bf77df0902a8 Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 16:12:45 +0100 Subject: [PATCH 05/30] try adjoint with shallow water --- examples/adjoint/shallow_water.py | 64 +++++++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 examples/adjoint/shallow_water.py diff --git a/examples/adjoint/shallow_water.py b/examples/adjoint/shallow_water.py new file mode 100644 index 000000000..19f05b754 --- /dev/null +++ b/examples/adjoint/shallow_water.py @@ -0,0 +1,64 @@ +from firedrake import * +from firedrake.adjoint import * +from gusto import * +continue_annotation() + +# setup shallow water parameters +R = 6371220. +H = 5960. +dt = 900. + +# Domain +mesh = IcosahedralSphereMesh(radius=R, + refinement_level=3, degree=2) +x = SpatialCoordinate(mesh) +domain = Domain(mesh, dt, 'BDM', 1) +parameters = ShallowWaterParameters(H=H) + +# Equation +Omega = parameters.Omega +fexpr = 2*Omega*x[2]/R +lamda, theta, _ = lonlatr_from_xyz(x[0], x[1], x[2]) +R0 = pi/9. +R0sq = R0**2 +lamda_c = -pi/2. +lsq = (lamda - lamda_c)**2 +theta_c = pi/6. +thsq = (theta - theta_c)**2 +rsq = min_value(R0sq, lsq+thsq) +r = sqrt(rsq) +bexpr = 2000 * (1 - r/R0) +eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) + +# I/O +output = OutputParameters(dirname="adjoint_sw") +io = IO(domain, output) + +scheme = BackwardEuler(domain) +transport_methods = [DGUpwind(eqn, "u"), DGUpwind(eqn, "D")] +stepper = Timestepper(eqn, scheme, io, spatial_methods=transport_methods) + +u0 = stepper.fields('u') +D0 = stepper.fields('D') +u_max = 20. # Maximum amplitude of the zonal wind (m/s) +uexpr = as_vector([-u_max*x[1]/R, u_max*x[0]/R, 0.0]) +g = parameters.g +Rsq = R**2 +Dexpr = H - ((R * Omega * u_max + 0.5*u_max**2)*x[2]**2/Rsq)/g - bexpr + +u0.project(uexpr) +D0.interpolate(Dexpr) + +stepper.run(0., dt) + +u = stepper.fields("u") +J = assemble(inner(u, u)*dx) + +my_control = Control(D0) +h = Function(D0.function_space()).interpolate(Dexpr) # the direction of the perturbation + +# dJdnu = compute_gradient(J, my_control) + +Jhat = ReducedFunctional(J, my_control) # the functional as a pure function of nu + +conv_rate = taylor_test(Jhat, D0, h) From e49b0067d4a77a543e33f859d0e2a66fe7a705c3 Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 20:50:52 +0100 Subject: [PATCH 06/30] use SIQN for adjoint shallow water --- examples/adjoint/shallow_water.py | 21 ++++++++++++++------- 1 file changed, 14 insertions(+), 7 deletions(-) diff --git a/examples/adjoint/shallow_water.py b/examples/adjoint/shallow_water.py index 19f05b754..b920ca447 100644 --- a/examples/adjoint/shallow_water.py +++ b/examples/adjoint/shallow_water.py @@ -31,12 +31,17 @@ eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) # I/O -output = OutputParameters(dirname="adjoint_sw") +output = OutputParameters(dirname="adjoint_sw", log_courant=False) io = IO(domain, output) -scheme = BackwardEuler(domain) +# Transport schemes +transported_fields = [TrapeziumRule(domain, "u"), SSPRK3(domain, "D")] transport_methods = [DGUpwind(eqn, "u"), DGUpwind(eqn, "D")] -stepper = Timestepper(eqn, scheme, io, spatial_methods=transport_methods) + +# Time stepper +stepper = SemiImplicitQuasiNewton( + eqn, io, transported_fields, transport_methods +) u0 = stepper.fields('u') D0 = stepper.fields('D') @@ -49,16 +54,18 @@ u0.project(uexpr) D0.interpolate(Dexpr) -stepper.run(0., dt) +Dbar = Function(D0.function_space()).assign(H) +stepper.set_reference_profiles([('D', Dbar)]) + +stepper.run(0., 10*dt) -u = stepper.fields("u") -J = assemble(inner(u, u)*dx) +J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) my_control = Control(D0) h = Function(D0.function_space()).interpolate(Dexpr) # the direction of the perturbation # dJdnu = compute_gradient(J, my_control) -Jhat = ReducedFunctional(J, my_control) # the functional as a pure function of nu +Jhat = ReducedFunctional(J, my_control) conv_rate = taylor_test(Jhat, D0, h) From 2b38eea932631f2cc0b060bce72c733948ab6c19 Mon Sep 17 00:00:00 2001 From: jshipton Date: Thu, 12 Sep 2024 20:51:48 +0100 Subject: [PATCH 07/30] some small changes to enable moist thermal shallow water adjoint --- .../adjoint/moist_thermal_williamson_5.py | 252 ++++++++++++++++++ gusto/physics/shallow_water_microphysics.py | 12 +- 2 files changed, 259 insertions(+), 5 deletions(-) create mode 100644 examples/adjoint/moist_thermal_williamson_5.py diff --git a/examples/adjoint/moist_thermal_williamson_5.py b/examples/adjoint/moist_thermal_williamson_5.py new file mode 100644 index 000000000..b462e9134 --- /dev/null +++ b/examples/adjoint/moist_thermal_williamson_5.py @@ -0,0 +1,252 @@ +""" +The moist thermal form of Test Case 5 (flow over a mountain) of Williamson et +al, 1992: +``A standard test set for numerical approximations to the shallow water +equations in spherical geometry'', JCP. + +The initial conditions are taken from Zerroukat & Allen, 2015: +``A moist Boussinesq shallow water equations set for testing atmospheric +models'', JCP. + +Three moist variables (vapour, cloud liquid and rain) are used. This set of +equations involves an active buoyancy field. + +The example here uses the icosahedral sphere mesh and degree 1 spaces. An +explicit RK4 timestepper is used. +""" + +from argparse import ArgumentParser, ArgumentDefaultsHelpFormatter +from firedrake import ( + SpatialCoordinate, as_vector, pi, sqrt, min_value, exp, cos, sin, assemble, dx, inner, Function +) +from firedrake.adjoint import * +from gusto import ( + Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, + ShallowWaterParameters, ShallowWaterEquations, Sum, + lonlatr_from_xyz, InstantRain, SWSaturationAdjustment, WaterVapour, + CloudWater, Rain, GeneralIcosahedralSphereMesh, RelativeVorticity, + ZonalComponent, MeridionalComponent +) + +moist_thermal_williamson_5_defaults = { + 'ncells_per_edge': 8, # number of cells per icosahedron edge + 'dt': 600.0, # 5 minutes + 'tmax': 50.*24.*60.*60., # 50 days + 'dumpfreq': 2880, # once per 10 days with default options + 'dirname': 'moist_thermal_williamson_5' +} + + +def moist_thermal_williamson_5( + ncells_per_edge=moist_thermal_williamson_5_defaults['ncells_per_edge'], + dt=moist_thermal_williamson_5_defaults['dt'], + tmax=moist_thermal_williamson_5_defaults['tmax'], + dumpfreq=moist_thermal_williamson_5_defaults['dumpfreq'], + dirname=moist_thermal_williamson_5_defaults['dirname'] +): + + # ------------------------------------------------------------------------ # + # Parameters for test case + # ------------------------------------------------------------------------ # + + radius = 6371220. # planetary radius (m) + mean_depth = 5960 # reference depth (m) + g = 9.80616 # acceleration due to gravity (m/s^2) + u_max = 20. # max amplitude of the zonal wind (m/s) + epsilon = 1/300 # linear air expansion coeff (1/K) + theta_SP = -40*epsilon # value of theta at south pole (no units) + theta_EQ = 30*epsilon # value of theta at equator (no units) + theta_NP = -20*epsilon # value of theta at north pole (no units) + mu1 = 0.05 # scaling for theta with longitude (no units) + mu2 = 0.98 # proportion of qsat to make init qv (no units) + q0 = 135 # qsat scaling, gives init q_v of ~0.02, (kg/kg) + beta2 = 10*g # buoyancy-vaporisation factor (m/s^2) + nu = 20. # qsat factor in exponent (no units) + qprecip = 1e-4 # cloud to rain conversion threshold (kg/kg) + gamma_r = 1e-3 # rain-coalescence implicit factor + mountain_height = 2000. # height of mountain (m) + R0 = pi/9. # radius of mountain (rad) + lamda_c = -pi/2. # longitudinal centre of mountain (rad) + phi_c = pi/6. # latitudinal centre of mountain (rad) + + # ------------------------------------------------------------------------ # + # Our settings for this set up + # ------------------------------------------------------------------------ # + + element_order = 1 + u_eqn_type = 'vector_invariant_form' + + # ------------------------------------------------------------------------ # + # Set up model objects + # ------------------------------------------------------------------------ # + + # Domain + mesh = GeneralIcosahedralSphereMesh(radius, ncells_per_edge, degree=2) + domain = Domain(mesh, dt, "BDM", element_order) + x, y, z = SpatialCoordinate(mesh) + lamda, phi, _ = lonlatr_from_xyz(x, y, z) + + # Equation: coriolis + parameters = ShallowWaterParameters(H=mean_depth, g=g) + Omega = parameters.Omega + fexpr = 2*Omega*z/radius + + # Equation: topography + rsq = min_value(R0**2, (lamda - lamda_c)**2 + (phi - phi_c)**2) + r = sqrt(rsq) + tpexpr = mountain_height * (1 - r/R0) + + # Equation: moisture + tracers = [ + WaterVapour(space='DG'), CloudWater(space='DG'), Rain(space='DG') + ] + eqns = ShallowWaterEquations( + domain, parameters, fexpr=fexpr, bexpr=tpexpr, thermal=True, + active_tracers=tracers, u_transport_option=u_eqn_type + ) + + # I/O + output = OutputParameters( + dirname=dirname, dumplist_latlon=['D'], dumpfreq=dumpfreq, + dump_vtus=True, dump_nc=False, log_courant=False, + dumplist=['D', 'b', 'water_vapour', 'cloud_water'] + ) + io = IO(domain, output) + + # Physics ------------------------------------------------------------------ + # Saturation function -- first define simple expression + def q_sat(b, D): + return (q0/(g*D + g*tpexpr)) * exp(nu*(1 - b/g)) + + # Function to pass to physics (takes mixed function as argument) + def phys_sat_func(x_in): + D = x_in.split()[1] + b = x_in.split()[2] + return q_sat(b, D) + + # Feedback proportionality is dependent on D and b + def gamma_v(x_in): + D = x_in.split()[1] + b = x_in.split()[2] + return 1.0 / (1.0 + nu*beta2/g*q_sat(b, D)) + + SWSaturationAdjustment( + eqns, phys_sat_func, time_varying_saturation=True, + parameters=parameters, thermal_feedback=True, + beta2=beta2, gamma_v=gamma_v, time_varying_gamma_v=True + ) + + InstantRain( + eqns, qprecip, vapour_name="cloud_water", rain_name="rain", + gamma_r=gamma_r + ) + + transport_methods = [ + DGUpwind(eqns, field_name) for field_name in eqns.field_names + ] + + # Timestepper + stepper = Timestepper( + eqns, RK4(domain), io, spatial_methods=transport_methods + ) + + # ------------------------------------------------------------------------ # + # Initial conditions + # ------------------------------------------------------------------------ # + + u0 = stepper.fields("u") + D0 = stepper.fields("D") + b0 = stepper.fields("b") + v0 = stepper.fields("water_vapour") + c0 = stepper.fields("cloud_water") + r0 = stepper.fields("rain") + + uexpr = as_vector([-u_max*y/radius, u_max*x/radius, 0.0]) + + Dexpr = ( + mean_depth - tpexpr + - (radius * Omega * u_max + 0.5*u_max**2)*(z/radius)**2/g + ) + + # Expression for initial buoyancy - note the bracket around 1-mu + theta_expr = ( + 2/(pi**2) * ( + phi*(phi - pi/2)*theta_SP + - 2*(phi + pi/2) * (phi - pi/2)*(1 - mu1)*theta_EQ + + phi*(phi + pi/2)*theta_NP + ) + + mu1*theta_EQ*cos(phi)*sin(lamda) + ) + bexpr = g * (1 - theta_expr) + + # Expression for initial vapour depends on initial saturation + vexpr = mu2 * q_sat(bexpr, Dexpr) + + # Initialise (cloud and rain initially zero) + u0.project(uexpr) + D0.interpolate(Dexpr) + b0.interpolate(bexpr) + v0.interpolate(vexpr) + c0.assign(0.0) + r0.assign(0.0) + + # ----------------------------------------------------------------- # + # Run + # ----------------------------------------------------------------- # + + continue_annotation() + stepper.run(t=0, tmax=10*dt) + + J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) + + my_control = Control(D0) + h = Function(D0.function_space()).interpolate(Dexpr) # the direction of the perturbation + + Jhat = ReducedFunctional(J, my_control) + + conv_rate = taylor_test(Jhat, D0, h) + +# ---------------------------------------------------------------------------- # +# MAIN +# ---------------------------------------------------------------------------- # + + +if __name__ == "__main__": + + parser = ArgumentParser( + description=__doc__, + formatter_class=ArgumentDefaultsHelpFormatter + ) + parser.add_argument( + '--ncells_per_edge', + help="The number of cells per edge of icosahedron", + type=int, + default=moist_thermal_williamson_5_defaults['ncells_per_edge'] + ) + parser.add_argument( + '--dt', + help="The time step in seconds.", + type=float, + default=moist_thermal_williamson_5_defaults['dt'] + ) + parser.add_argument( + "--tmax", + help="The end time for the simulation in seconds.", + type=float, + default=moist_thermal_williamson_5_defaults['tmax'] + ) + parser.add_argument( + '--dumpfreq', + help="The frequency at which to dump field output.", + type=int, + default=moist_thermal_williamson_5_defaults['dumpfreq'] + ) + parser.add_argument( + '--dirname', + help="The name of the directory to write to.", + type=str, + default=moist_thermal_williamson_5_defaults['dirname'] + ) + args, unknown = parser.parse_known_args() + + moist_thermal_williamson_5(**vars(args)) diff --git a/gusto/physics/shallow_water_microphysics.py b/gusto/physics/shallow_water_microphysics.py index 27f5c09b2..9475176c9 100644 --- a/gusto/physics/shallow_water_microphysics.py +++ b/gusto/physics/shallow_water_microphysics.py @@ -3,7 +3,7 @@ """ from firedrake import ( - Interpolator, conditional, Function, dx, min_value, max_value, Constant + Interpolator, conditional, Function, dx, min_value, max_value, FunctionSpace ) from firedrake.fml import subject from gusto.core.logging import logger @@ -92,13 +92,14 @@ def __init__(self, equation, saturation_curve, self.water_v = Function(Vv) self.source = Function(Vv) + R = FunctionSpace(equation.domain.mesh, "R", 0) # tau is the timescale for conversion (may or may not be the timestep) if tau is not None: self.set_tau_to_dt = False - self.tau = tau + self.tau = Function(R).assign(tau) else: self.set_tau_to_dt = True - self.tau = Constant(0) + self.tau = Function(R) logger.info("Timescale for rain conversion has been set to dt. If this is not the intention then provide a tau parameter as an argument to InstantRain.") if self.time_varying_saturation: @@ -269,12 +270,13 @@ def __init__(self, equation, saturation_curve, V_idxs.append(self.Vb_idx) # tau is the timescale for condensation/evaporation (may or may not be the timestep) + R = FunctionSpace(equation.domain.mesh, "R", 0) if tau is not None: self.set_tau_to_dt = False - self.tau = tau + self.tau = Function(R).assign(tau) else: self.set_tau_to_dt = True - self.tau = Constant(0) + self.tau = Function(R) logger.info("Timescale for moisture conversion between vapour and cloud has been set to dt. If this is not the intention then provide a tau parameter as an argument to SWSaturationAdjustment.") if self.time_varying_saturation: From a7e6de19f074c27605135a13dac6c5c656f75d60 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Mon, 16 Dec 2024 16:48:37 +0000 Subject: [PATCH 08/30] Add adjoint tests --- examples/adjoint/diffusion.py | 8 +- .../adjoint/moist_thermal_williamson_5.py | 11 +- .../results/adjoint_diffusion/diagnostics.nc | Bin 0 -> 44609 bytes .../adjoint_diffusion/field_output.pvd | 7 + .../field_output/field_output_0.vtu | Bin 0 -> 571480 bytes .../field_output/field_output_1.vtu | Bin 0 -> 571480 bytes examples/adjoint/shallow_water.py | 9 +- integration-tests/adjoints/diffusion.py | 74 ++++++ .../adjoints/moist_thermal_williamson_5.py | 224 ++++++++++++++++++ integration-tests/adjoints/shallow_water.py | 90 +++++++ 10 files changed, 406 insertions(+), 17 deletions(-) create mode 100644 examples/adjoint/results/adjoint_diffusion/diagnostics.nc create mode 100644 examples/adjoint/results/adjoint_diffusion/field_output.pvd create mode 100644 examples/adjoint/results/adjoint_diffusion/field_output/field_output_0.vtu create mode 100644 examples/adjoint/results/adjoint_diffusion/field_output/field_output_1.vtu create mode 100644 integration-tests/adjoints/diffusion.py create mode 100644 integration-tests/adjoints/moist_thermal_williamson_5.py create mode 100644 integration-tests/adjoints/shallow_water.py diff --git a/examples/adjoint/diffusion.py b/examples/adjoint/diffusion.py index fb820d189..609ea0f57 100644 --- a/examples/adjoint/diffusion.py +++ b/examples/adjoint/diffusion.py @@ -7,13 +7,15 @@ mesh = PeriodicUnitSquareMesh(n, n) output = OutputParameters(dirname="adjoint_diffusion") dt = 0.01 -domain = Domain(mesh, dt, family="BDM", degree=1) +domain = Domain(mesh, 10*dt, family="BDM", degree=1) io = IO(domain, output) V = VectorFunctionSpace(mesh, "CG", 2) domain.spaces.add_space("vecCG", V) -nu = Constant(0.0001, domain=mesh) +R = FunctionSpace(mesh, "R", 0) +# We need to define nu as a function in order to have a control variable. +nu = Function(R, val=0.0001) diffusion_params = DiffusionParameters(kappa=nu) eqn = DiffusionEquation(domain, V, "f", diffusion_parameters=diffusion_params) @@ -35,7 +37,7 @@ nu_is_control = True if nu_is_control: my_control = Control(nu) - h = Constant(0.0001) # the direction of the perturbation + h = Function(R, val=0.0001) # the direction of the perturbation else: my_control = Control(u) h = Function(V).interpolate(fexpr) # the direction of the perturbation diff --git a/examples/adjoint/moist_thermal_williamson_5.py b/examples/adjoint/moist_thermal_williamson_5.py index b462e9134..42eef135d 100644 --- a/examples/adjoint/moist_thermal_williamson_5.py +++ b/examples/adjoint/moist_thermal_williamson_5.py @@ -195,16 +195,13 @@ def gamma_v(x_in): # ----------------------------------------------------------------- # continue_annotation() - stepper.run(t=0, tmax=10*dt) - - J = 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znO7gF`C;w&9S5nN8WF#j`(C<69!q%-b3NIWO{dn$Kx{r1g~MftA&-uJZxv`G?kVT7PMMq;-LGE+st=#XL;w zIIX`l|I>Owzb~zu?oM+>VXsj_ynIHmxr-|I@nmr0UZ-Q7`vUJ~KY% zLz=fqC(ZvOmH*^Enih@oS3(cX&omE{PMZIhRsYZLV%?{Co1R~qhe 1.95 + else: + assert taylor_test(Jhat, u, h) > 1.95 diff --git a/integration-tests/adjoints/moist_thermal_williamson_5.py b/integration-tests/adjoints/moist_thermal_williamson_5.py new file mode 100644 index 000000000..15974716b --- /dev/null +++ b/integration-tests/adjoints/moist_thermal_williamson_5.py @@ -0,0 +1,224 @@ +""" +The moist thermal form of Test Case 5 (flow over a mountain) of Williamson et +al, 1992: +``A standard test set for numerical approximations to the shallow water +equations in spherical geometry'', JCP. + +The initial conditions are taken from Zerroukat & Allen, 2015: +``A moist Boussinesq shallow water equations set for testing atmospheric +models'', JCP. + +Three moist variables (vapour, cloud liquid and rain) are used. This set of +equations involves an active buoyancy field. + +The example here uses the icosahedral sphere mesh and degree 1 spaces. An +explicit RK4 timestepper is used. +""" +import pytest +import numpy as np +from firedrake import ( + SpatialCoordinate, as_vector, pi, sqrt, min_value, exp, cos, sin, assemble, dx, inner, Function +) +from firedrake.adjoint import * +from gusto import ( + Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, + ShallowWaterParameters, ShallowWaterEquations, Sum, + lonlatr_from_xyz, InstantRain, SWSaturationAdjustment, WaterVapour, + CloudWater, Rain, GeneralIcosahedralSphereMesh, RelativeVorticity, + ZonalComponent, MeridionalComponent +) + + +@pytest.fixture(autouse=True) +def handle_taping(): + yield + tape = get_working_tape() + tape.clear_tape() + + +@pytest.fixture(autouse=True, scope="module") +def handle_annotation(): + from firedrake.adjoint import annotate_tape, continue_annotation + if not annotate_tape(): + continue_annotation() + yield + # Ensure annotation is paused when we finish. + annotate = annotate_tape() + if annotate: + pause_annotation() + + +moist_thermal_williamson_5_defaults = { + 'ncells_per_edge': 8, # number of cells per icosahedron edge + 'dt': 600.0, # 5 minutes + 'tmax': 50.*24.*60.*60., # 50 days + 'dumpfreq': 2880, # once per 10 days with default options + 'dirname': 'moist_thermal_williamson_5' +} + + +def moist_thermal_williamson_5( + ncells_per_edge=moist_thermal_williamson_5_defaults['ncells_per_edge'], + dt=moist_thermal_williamson_5_defaults['dt'], + tmax=moist_thermal_williamson_5_defaults['tmax'], + dumpfreq=moist_thermal_williamson_5_defaults['dumpfreq'], + dirname=moist_thermal_williamson_5_defaults['dirname'] +): + + # ------------------------------------------------------------------------ # + # Parameters for test case + # ------------------------------------------------------------------------ # + + radius = 6371220. # planetary radius (m) + mean_depth = 5960 # reference depth (m) + g = 9.80616 # acceleration due to gravity (m/s^2) + u_max = 20. # max amplitude of the zonal wind (m/s) + epsilon = 1/300 # linear air expansion coeff (1/K) + theta_SP = -40*epsilon # value of theta at south pole (no units) + theta_EQ = 30*epsilon # value of theta at equator (no units) + theta_NP = -20*epsilon # value of theta at north pole (no units) + mu1 = 0.05 # scaling for theta with longitude (no units) + mu2 = 0.98 # proportion of qsat to make init qv (no units) + q0 = 135 # qsat scaling, gives init q_v of ~0.02, (kg/kg) + beta2 = 10*g # buoyancy-vaporisation factor (m/s^2) + nu = 20. # qsat factor in exponent (no units) + qprecip = 1e-4 # cloud to rain conversion threshold (kg/kg) + gamma_r = 1e-3 # rain-coalescence implicit factor + mountain_height = 2000. # height of mountain (m) + R0 = pi/9. # radius of mountain (rad) + lamda_c = -pi/2. # longitudinal centre of mountain (rad) + phi_c = pi/6. # latitudinal centre of mountain (rad) + + # ------------------------------------------------------------------------ # + # Our settings for this set up + # ------------------------------------------------------------------------ # + + element_order = 1 + u_eqn_type = 'vector_invariant_form' + + # ------------------------------------------------------------------------ # + # Set up model objects + # ------------------------------------------------------------------------ # + + # Domain + mesh = GeneralIcosahedralSphereMesh(radius, ncells_per_edge, degree=2) + domain = Domain(mesh, dt, "BDM", element_order) + x, y, z = SpatialCoordinate(mesh) + lamda, phi, _ = lonlatr_from_xyz(x, y, z) + + # Equation: coriolis + parameters = ShallowWaterParameters(H=mean_depth, g=g) + Omega = parameters.Omega + fexpr = 2*Omega*z/radius + + # Equation: topography + rsq = min_value(R0**2, (lamda - lamda_c)**2 + (phi - phi_c)**2) + r = sqrt(rsq) + tpexpr = mountain_height * (1 - r/R0) + + # Equation: moisture + tracers = [ + WaterVapour(space='DG'), CloudWater(space='DG'), Rain(space='DG') + ] + eqns = ShallowWaterEquations( + domain, parameters, fexpr=fexpr, bexpr=tpexpr, thermal=True, + active_tracers=tracers, u_transport_option=u_eqn_type + ) + + # I/O + output = OutputParameters( + dirname=dirname, dumplist_latlon=['D'], dumpfreq=dumpfreq, + dump_vtus=True, dump_nc=False, log_courant=False, + dumplist=['D', 'b', 'water_vapour', 'cloud_water'] + ) + io = IO(domain, output) + + # Physics ------------------------------------------------------------------ + # Saturation function -- first define simple expression + def q_sat(b, D): + return (q0/(g*D + g*tpexpr)) * exp(nu*(1 - b/g)) + + # Function to pass to physics (takes mixed function as argument) + def phys_sat_func(x_in): + D = x_in.split()[1] + b = x_in.split()[2] + return q_sat(b, D) + + # Feedback proportionality is dependent on D and b + def gamma_v(x_in): + D = x_in.split()[1] + b = x_in.split()[2] + return 1.0 / (1.0 + nu*beta2/g*q_sat(b, D)) + + SWSaturationAdjustment( + eqns, phys_sat_func, time_varying_saturation=True, + parameters=parameters, thermal_feedback=True, + beta2=beta2, gamma_v=gamma_v, time_varying_gamma_v=True + ) + + InstantRain( + eqns, qprecip, vapour_name="cloud_water", rain_name="rain", + gamma_r=gamma_r + ) + + transport_methods = [ + DGUpwind(eqns, field_name) for field_name in eqns.field_names + ] + + # Timestepper + stepper = Timestepper( + eqns, RK4(domain), io, spatial_methods=transport_methods + ) + + # ------------------------------------------------------------------------ # + # Initial conditions + # ------------------------------------------------------------------------ # + + u0 = stepper.fields("u") + D0 = stepper.fields("D") + b0 = stepper.fields("b") + v0 = stepper.fields("water_vapour") + c0 = stepper.fields("cloud_water") + r0 = stepper.fields("rain") + + uexpr = as_vector([-u_max*y/radius, u_max*x/radius, 0.0]) + + Dexpr = ( + mean_depth - tpexpr + - (radius * Omega * u_max + 0.5*u_max**2)*(z/radius)**2/g + ) + + # Expression for initial buoyancy - note the bracket around 1-mu + theta_expr = ( + 2/(pi**2) * ( + phi*(phi - pi/2)*theta_SP + - 2*(phi + pi/2) * (phi - pi/2)*(1 - mu1)*theta_EQ + + phi*(phi + pi/2)*theta_NP + ) + + mu1*theta_EQ*cos(phi)*sin(lamda) + ) + bexpr = g * (1 - theta_expr) + + # Expression for initial vapour depends on initial saturation + vexpr = mu2 * q_sat(bexpr, Dexpr) + + # Initialise (cloud and rain initially zero) + u0.project(uexpr) + D0.interpolate(Dexpr) + b0.interpolate(bexpr) + v0.interpolate(vexpr) + c0.assign(0.0) + r0.assign(0.0) + + # ----------------------------------------------------------------- # + # Run + # ----------------------------------------------------------------- # + stepper.run(t=0, tmax=dt) + + J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) + + Jhat = ReducedFunctional(J, Control(D0)) + + assert np.allclose(Jhat(D0), J) + + assert taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) > 1.95 diff --git a/integration-tests/adjoints/shallow_water.py b/integration-tests/adjoints/shallow_water.py new file mode 100644 index 000000000..30abf714f --- /dev/null +++ b/integration-tests/adjoints/shallow_water.py @@ -0,0 +1,90 @@ +import pytest +import numpy as np + +from firedrake import * +from firedrake.adjoint import * +from gusto import * + + +@pytest.fixture(autouse=True) +def handle_taping(): + yield + tape = get_working_tape() + tape.clear_tape() + + +@pytest.fixture(autouse=True, scope="module") +def handle_annotation(): + from firedrake.adjoint import annotate_tape, continue_annotation + if not annotate_tape(): + continue_annotation() + yield + # Ensure annotation is paused when we finish. + annotate = annotate_tape() + if annotate: + pause_annotation() + + +def test_shallow_water(): + # setup shallow water parameters + R = 6371220. + H = 5960. + dt = 900. + + # Domain + mesh = IcosahedralSphereMesh(radius=R, + refinement_level=3, degree=2) + x = SpatialCoordinate(mesh) + domain = Domain(mesh, dt, 'BDM', 1) + parameters = ShallowWaterParameters(H=H) + + # Equation + Omega = parameters.Omega + fexpr = 2*Omega*x[2]/R + lamda, theta, _ = lonlatr_from_xyz(x[0], x[1], x[2]) + R0 = pi/9. + R0sq = R0**2 + lamda_c = -pi/2. + lsq = (lamda - lamda_c)**2 + theta_c = pi/6. + thsq = (theta - theta_c)**2 + rsq = min_value(R0sq, lsq+thsq) + r = sqrt(rsq) + bexpr = 2000 * (1 - r/R0) + eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) + + # I/O + output = OutputParameters(dirname="adjoint_sw", log_courant=False) + io = IO(domain, output) + + # Transport schemes + transported_fields = [TrapeziumRule(domain, "u"), SSPRK3(domain, "D")] + transport_methods = [DGUpwind(eqn, "u"), DGUpwind(eqn, "D")] + + # Time stepper + stepper = SemiImplicitQuasiNewton( + eqn, io, transported_fields, transport_methods + ) + + u0 = stepper.fields('u') + D0 = stepper.fields('D') + u_max = 20. # Maximum amplitude of the zonal wind (m/s) + uexpr = as_vector([-u_max*x[1]/R, u_max*x[0]/R, 0.0]) + g = parameters.g + Rsq = R**2 + Dexpr = H - ((R * Omega * u_max + 0.5*u_max**2)*x[2]**2/Rsq)/g - bexpr + + u0.project(uexpr) + D0.interpolate(Dexpr) + + Dbar = Function(D0.function_space()).assign(H) + stepper.set_reference_profiles([('D', Dbar)]) + + stepper.run(0., 10*dt) + + J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) + + Jhat = ReducedFunctional(J, Control(D0)) + + assert np.isclose(Jhat(D0), J, rtol=1e-10) + assert taylor_test(Jhat, D0, Function(D0.function_space()).assign(Dexpr)) > 1.95 From 3bc9a155b8eb3d3dd1ff8441a1b07bf0d7e18c67 Mon Sep 17 00:00:00 2001 From: Ubuntu Date: Mon, 16 Dec 2024 16:55:57 +0000 Subject: [PATCH 09/30] flake8 --- gusto/core/configuration.py | 4 ++-- gusto/core/domain.py | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index e8ff94e54..0b953a4c8 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -1,7 +1,7 @@ """Some simple tools for configuring the model.""" from abc import ABCMeta, abstractproperty from enum import Enum -from firedrake import sqrt, Constant +from firedrake import sqrt __all__ = [ @@ -82,7 +82,7 @@ def __setattr__(self, name, value): # DO NOT MERGE # Adjoint is a bit twitchy with Constants so let's not make them # for now - #object.__setattr__(self, name, Constant(value)) + # object.__setattr__(self, name, Constant(value)) else: object.__setattr__(self, name, value) diff --git a/gusto/core/domain.py b/gusto/core/domain.py index 0ec37269c..231454c4c 100644 --- a/gusto/core/domain.py +++ b/gusto/core/domain.py @@ -8,7 +8,7 @@ from gusto.core.function_spaces import Spaces, check_degree_args from firedrake import (Constant, SpatialCoordinate, sqrt, CellNormal, cross, inner, grad, VectorFunctionSpace, Function, FunctionSpace, - perp, CoordinatelessFunction) + perp) import numpy as np From 4cfd4bbe9fcb2564979429af6367a5690f5f938a Mon Sep 17 00:00:00 2001 From: Ubuntu Date: Mon, 16 Dec 2024 17:01:09 +0000 Subject: [PATCH 10/30] wip --- .../results/adjoint_diffusion/diagnostics.nc | Bin 44609 -> 0 bytes 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znO7gF`C;w&9S5nN8WF#j`(C<69!q%-b3NIWO{dn$Kx{r1g~MftA&-uJZxv`G?kVT7PMMq;-LGE+st=#XL;w zIIX`l|I>Owzb~zu?oM+>VXsj_ynIHmxr-|I@nmr0UZ-Q7`vUJ~KY% zLz=fqC(ZvOmH*^Enih@oS3(cX&omE{PMZIhRsYZLV%?{Co1R~qhe Date: Mon, 16 Dec 2024 17:06:31 +0000 Subject: [PATCH 11/30] flake8 --- examples/adjoint/moist_thermal_williamson_5.py | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/examples/adjoint/moist_thermal_williamson_5.py b/examples/adjoint/moist_thermal_williamson_5.py index 42eef135d..01668d1e5 100644 --- a/examples/adjoint/moist_thermal_williamson_5.py +++ b/examples/adjoint/moist_thermal_williamson_5.py @@ -22,10 +22,9 @@ from firedrake.adjoint import * from gusto import ( Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, - ShallowWaterParameters, ShallowWaterEquations, Sum, - lonlatr_from_xyz, InstantRain, SWSaturationAdjustment, WaterVapour, - CloudWater, Rain, GeneralIcosahedralSphereMesh, RelativeVorticity, - ZonalComponent, MeridionalComponent + ShallowWaterParameters, ShallowWaterEquations, lonlatr_from_xyz, + InstantRain, SWSaturationAdjustment, WaterVapour, + CloudWater, Rain, GeneralIcosahedralSphereMesh ) moist_thermal_williamson_5_defaults = { @@ -200,8 +199,8 @@ def gamma_v(x_in): J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) Jhat = ReducedFunctional(J, Control(D0)) - - conv_rate = taylor_test(Jhat, D0, h = Function(D0.function_space()).interpolate(Dexpr)) + # Taylor test should return value closer to 2.0 + taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) # ---------------------------------------------------------------------------- # # MAIN From 31d5c59f23fd085c14f8a9f3a79f64ed314d9472 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Tue, 17 Dec 2024 10:54:56 +0000 Subject: [PATCH 12/30] Testing --- .../{diffusion.py => test_diffusion.py} | 6 +-- ....py => test_moist_thermal_williamson_5.py} | 37 ++++++------------- ...shallow_water.py => test_shallow_water.py} | 11 +++--- 3 files changed, 20 insertions(+), 34 deletions(-) rename integration-tests/adjoints/{diffusion.py => test_diffusion.py} (94%) rename integration-tests/adjoints/{moist_thermal_williamson_5.py => test_moist_thermal_williamson_5.py} (86%) rename integration-tests/adjoints/{shallow_water.py => test_shallow_water.py} (87%) diff --git a/integration-tests/adjoints/diffusion.py b/integration-tests/adjoints/test_diffusion.py similarity index 94% rename from integration-tests/adjoints/diffusion.py rename to integration-tests/adjoints/test_diffusion.py index 18954db2f..6a7759703 100644 --- a/integration-tests/adjoints/diffusion.py +++ b/integration-tests/adjoints/test_diffusion.py @@ -25,10 +25,10 @@ def handle_annotation(): pause_annotation() -def test_diffusion(): +def test_diffusion(tmpdir): n = 30 mesh = PeriodicUnitSquareMesh(n, n) - output = OutputParameters(dirname="adjoint_diffusion") + output = OutputParameters(dirname=str(tmpdir)) dt = 0.01 domain = Domain(mesh, 10*dt, family="BDM", degree=1) io = IO(domain, output) @@ -67,7 +67,7 @@ def test_diffusion(): Jhat = ReducedFunctional(J, control) # the functional as a pure function of nu - assert np.allclose(Jhat(control), Jhat(nu)) + assert np.allclose(J, Jhat(nu)) if nu_is_control: assert taylor_test(Jhat, nu, h) > 1.95 else: diff --git a/integration-tests/adjoints/moist_thermal_williamson_5.py b/integration-tests/adjoints/test_moist_thermal_williamson_5.py similarity index 86% rename from integration-tests/adjoints/moist_thermal_williamson_5.py rename to integration-tests/adjoints/test_moist_thermal_williamson_5.py index 15974716b..c08d08e61 100644 --- a/integration-tests/adjoints/moist_thermal_williamson_5.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5.py @@ -16,16 +16,16 @@ """ import pytest import numpy as np + from firedrake import ( SpatialCoordinate, as_vector, pi, sqrt, min_value, exp, cos, sin, assemble, dx, inner, Function ) from firedrake.adjoint import * from gusto import ( Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, - ShallowWaterParameters, ShallowWaterEquations, Sum, - lonlatr_from_xyz, InstantRain, SWSaturationAdjustment, WaterVapour, - CloudWater, Rain, GeneralIcosahedralSphereMesh, RelativeVorticity, - ZonalComponent, MeridionalComponent + ShallowWaterParameters, ShallowWaterEquations, lonlatr_from_xyz, + InstantRain, SWSaturationAdjustment, WaterVapour, CloudWater, + Rain, GeneralIcosahedralSphereMesh ) @@ -48,27 +48,14 @@ def handle_annotation(): pause_annotation() -moist_thermal_williamson_5_defaults = { - 'ncells_per_edge': 8, # number of cells per icosahedron edge - 'dt': 600.0, # 5 minutes - 'tmax': 50.*24.*60.*60., # 50 days - 'dumpfreq': 2880, # once per 10 days with default options - 'dirname': 'moist_thermal_williamson_5' -} - - -def moist_thermal_williamson_5( - ncells_per_edge=moist_thermal_williamson_5_defaults['ncells_per_edge'], - dt=moist_thermal_williamson_5_defaults['dt'], - tmax=moist_thermal_williamson_5_defaults['tmax'], - dumpfreq=moist_thermal_williamson_5_defaults['dumpfreq'], - dirname=moist_thermal_williamson_5_defaults['dirname'] +def test_moist_thermal_williamson_5( + tmpdir, ncells_per_edge=8, dt=600, tmax=50.*24.*60.*60., + dumpfreq=2880 ): # ------------------------------------------------------------------------ # # Parameters for test case # ------------------------------------------------------------------------ # - radius = 6371220. # planetary radius (m) mean_depth = 5960 # reference depth (m) g = 9.80616 # acceleration due to gravity (m/s^2) @@ -127,7 +114,7 @@ def moist_thermal_williamson_5( # I/O output = OutputParameters( - dirname=dirname, dumplist_latlon=['D'], dumpfreq=dumpfreq, + dirname=str(tmpdir), dumplist_latlon=['D'], dumpfreq=dumpfreq, dump_vtus=True, dump_nc=False, log_courant=False, dumplist=['D', 'b', 'water_vapour', 'cloud_water'] ) @@ -140,14 +127,14 @@ def q_sat(b, D): # Function to pass to physics (takes mixed function as argument) def phys_sat_func(x_in): - D = x_in.split()[1] - b = x_in.split()[2] + D = x_in.sub(1) + b = x_in.sub(2) return q_sat(b, D) # Feedback proportionality is dependent on D and b def gamma_v(x_in): - D = x_in.split()[1] - b = x_in.split()[2] + D = x_in.sub(1) + b = x_in.sub(2) return 1.0 / (1.0 + nu*beta2/g*q_sat(b, D)) SWSaturationAdjustment( diff --git a/integration-tests/adjoints/shallow_water.py b/integration-tests/adjoints/test_shallow_water.py similarity index 87% rename from integration-tests/adjoints/shallow_water.py rename to integration-tests/adjoints/test_shallow_water.py index 30abf714f..7fe813608 100644 --- a/integration-tests/adjoints/shallow_water.py +++ b/integration-tests/adjoints/test_shallow_water.py @@ -25,15 +25,14 @@ def handle_annotation(): pause_annotation() -def test_shallow_water(): +def test_shallow_water(tmpdir): # setup shallow water parameters R = 6371220. H = 5960. dt = 900. # Domain - mesh = IcosahedralSphereMesh(radius=R, - refinement_level=3, degree=2) + mesh = IcosahedralSphereMesh(radius=R, refinement_level=3, degree=2) x = SpatialCoordinate(mesh) domain = Domain(mesh, dt, 'BDM', 1) parameters = ShallowWaterParameters(H=H) @@ -54,7 +53,7 @@ def test_shallow_water(): eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) # I/O - output = OutputParameters(dirname="adjoint_sw", log_courant=False) + output = OutputParameters(dirname=str(tmpdir), log_courant=False) io = IO(domain, output) # Transport schemes @@ -80,11 +79,11 @@ def test_shallow_water(): Dbar = Function(D0.function_space()).assign(H) stepper.set_reference_profiles([('D', Dbar)]) - stepper.run(0., 10*dt) + stepper.run(0., 5*dt) J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) Jhat = ReducedFunctional(J, Control(D0)) assert np.isclose(Jhat(D0), J, rtol=1e-10) - assert taylor_test(Jhat, D0, Function(D0.function_space()).assign(Dexpr)) > 1.95 + assert taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) > 1.95 From 96becfe1f430910e8c349cead9fc14587bd14bce Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Tue, 17 Dec 2024 11:01:59 +0000 Subject: [PATCH 13/30] Minor changer --- examples/adjoint/diffusion.py | 6 ++++-- examples/adjoint/moist_thermal_williamson_5.py | 2 +- examples/adjoint/shallow_water.py | 4 ++-- 3 files changed, 7 insertions(+), 5 deletions(-) diff --git a/examples/adjoint/diffusion.py b/examples/adjoint/diffusion.py index 609ea0f57..fbae1b44f 100644 --- a/examples/adjoint/diffusion.py +++ b/examples/adjoint/diffusion.py @@ -47,6 +47,8 @@ Jhat = ReducedFunctional(J, my_control) # the functional as a pure function of nu if nu_is_control: - conv_rate = taylor_test(Jhat, nu, h) + # The convergence rate should be around 2.0. + taylor_test(Jhat, nu, h) else: - conv_rate = taylor_test(Jhat, u, h) + # The convergence rate should be around 2.0. + taylor_test(Jhat, u, h) diff --git a/examples/adjoint/moist_thermal_williamson_5.py b/examples/adjoint/moist_thermal_williamson_5.py index 01668d1e5..504ef73e6 100644 --- a/examples/adjoint/moist_thermal_williamson_5.py +++ b/examples/adjoint/moist_thermal_williamson_5.py @@ -199,7 +199,7 @@ def gamma_v(x_in): J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) Jhat = ReducedFunctional(J, Control(D0)) - # Taylor test should return value closer to 2.0 + # The convergence rate should be around 2.0. taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) # ---------------------------------------------------------------------------- # diff --git a/examples/adjoint/shallow_water.py b/examples/adjoint/shallow_water.py index 2a3111fec..96fbb6387 100644 --- a/examples/adjoint/shallow_water.py +++ b/examples/adjoint/shallow_water.py @@ -62,5 +62,5 @@ J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) Jhat = ReducedFunctional(J, Control(D0)) - -conv_rate = taylor_test(Jhat, D0, Function(D0.function_space()).assign(Dexpr)) +# The convergence rate should be around 2.0. +taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) From 9f9b8ebf74495da840564b3a7c1b6d6c8d0aaca0 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Tue, 17 Dec 2024 11:14:31 +0000 Subject: [PATCH 14/30] Test all controls --- integration-tests/adjoints/test_diffusion.py | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/integration-tests/adjoints/test_diffusion.py b/integration-tests/adjoints/test_diffusion.py index 6a7759703..2054f895e 100644 --- a/integration-tests/adjoints/test_diffusion.py +++ b/integration-tests/adjoints/test_diffusion.py @@ -25,7 +25,8 @@ def handle_annotation(): pause_annotation() -def test_diffusion(tmpdir): +@pytest.mark.parametrize("nu_is_control", [True, False]) +def test_diffusion(nu_is_control, tmpdir): n = 30 mesh = PeriodicUnitSquareMesh(n, n) output = OutputParameters(dirname=str(tmpdir)) @@ -56,8 +57,6 @@ def test_diffusion(tmpdir): u = timestepper.fields("f") J = assemble(inner(u, u)*dx) - # flag to switch between nu and u for control variable - nu_is_control = True if nu_is_control: control = Control(nu) h = Function(R, val=0.0001) # the direction of the perturbation @@ -67,8 +66,9 @@ def test_diffusion(tmpdir): Jhat = ReducedFunctional(J, control) # the functional as a pure function of nu - assert np.allclose(J, Jhat(nu)) if nu_is_control: + assert np.allclose(J, Jhat(nu)) assert taylor_test(Jhat, nu, h) > 1.95 else: + assert np.allclose(J, Jhat(u)) assert taylor_test(Jhat, u, h) > 1.95 From 61ca2dcb368837e336497a9f9c23c07665e1bf64 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Tue, 17 Dec 2024 11:18:53 +0000 Subject: [PATCH 15/30] Check the blocks are empty --- integration-tests/adjoints/test_diffusion.py | 2 ++ integration-tests/adjoints/test_moist_thermal_williamson_5.py | 3 ++- integration-tests/adjoints/test_shallow_water.py | 2 ++ 3 files changed, 6 insertions(+), 1 deletion(-) diff --git a/integration-tests/adjoints/test_diffusion.py b/integration-tests/adjoints/test_diffusion.py index 2054f895e..3dd109026 100644 --- a/integration-tests/adjoints/test_diffusion.py +++ b/integration-tests/adjoints/test_diffusion.py @@ -3,6 +3,7 @@ from firedrake import * from firedrake.adjoint import * +from pyadjoint import get_working_tape from gusto import * @@ -27,6 +28,7 @@ def handle_annotation(): @pytest.mark.parametrize("nu_is_control", [True, False]) def test_diffusion(nu_is_control, tmpdir): + assert get_working_tape()._blocks == [] n = 30 mesh = PeriodicUnitSquareMesh(n, n) output = OutputParameters(dirname=str(tmpdir)) diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5.py b/integration-tests/adjoints/test_moist_thermal_williamson_5.py index c08d08e61..3e52ec5b7 100644 --- a/integration-tests/adjoints/test_moist_thermal_williamson_5.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5.py @@ -21,6 +21,7 @@ SpatialCoordinate, as_vector, pi, sqrt, min_value, exp, cos, sin, assemble, dx, inner, Function ) from firedrake.adjoint import * +from pyadjoint import get_working_tape from gusto import ( Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, ShallowWaterParameters, ShallowWaterEquations, lonlatr_from_xyz, @@ -52,7 +53,7 @@ def test_moist_thermal_williamson_5( tmpdir, ncells_per_edge=8, dt=600, tmax=50.*24.*60.*60., dumpfreq=2880 ): - + assert get_working_tape()._blocks == [] # ------------------------------------------------------------------------ # # Parameters for test case # ------------------------------------------------------------------------ # diff --git a/integration-tests/adjoints/test_shallow_water.py b/integration-tests/adjoints/test_shallow_water.py index 7fe813608..7db354e5b 100644 --- a/integration-tests/adjoints/test_shallow_water.py +++ b/integration-tests/adjoints/test_shallow_water.py @@ -3,6 +3,7 @@ from firedrake import * from firedrake.adjoint import * +from pyadjoint import get_working_tape from gusto import * @@ -26,6 +27,7 @@ def handle_annotation(): def test_shallow_water(tmpdir): + assert get_working_tape()._blocks == [] # setup shallow water parameters R = 6371220. H = 5960. 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b/integration-tests/equations/test_sw_fplane.py index 3d0acff5f..8e0779c2b 100644 --- a/integration-tests/equations/test_sw_fplane.py +++ b/integration-tests/equations/test_sw_fplane.py @@ -38,12 +38,10 @@ def run_sw_fplane(tmpdir): io = IO(domain, output, diagnostic_fields=[CourantNumber()]) # Transport schemes - vorticity_transport = VorticityTransport(domain, eqns, supg=True) - transported_fields = [ - TrapeziumRule(domain, "u", augmentation=vorticity_transport), - SSPRK3(domain, "D") - ] - transport_methods = [DGUpwind(eqns, "u"), DGUpwind(eqns, "D")] + transported_fields = [TrapeziumRule(domain, "u"), + SSPRK3(domain, "D")] + transport_methods = [DGUpwind(eqns, "u"), + DGUpwind(eqns, "D")] # Time stepper stepper = SemiImplicitQuasiNewton(eqns, io, transported_fields, diff --git a/integration-tests/model/test_time_discretisation.py b/integration-tests/model/test_time_discretisation.py index 0c259e221..6d484bfd1 100644 --- a/integration-tests/model/test_time_discretisation.py +++ b/integration-tests/model/test_time_discretisation.py @@ -10,19 +10,9 @@ def run(timestepper, tmax, f_end): @pytest.mark.parametrize( "scheme", [ - "ssprk2_increment_2", "ssprk2_predictor_2", "ssprk2_linear_2", - "ssprk2_increment_3", "ssprk2_predictor_3", "ssprk2_linear_3", - "ssprk2_increment_4", "ssprk2_predictor_4", "ssprk2_linear_4", - - "ssprk3_increment_3", "ssprk3_predictor_3", "ssprk3_linear_3", - "ssprk3_increment_4", "ssprk3_predictor_4", "ssprk3_linear_4", - "ssprk3_increment_5", "ssprk3_predictor_5", "ssprk3_linear_5", - - "ssprk4_increment_5", "ssprk4_predictor_5", "ssprk4_linear_5", - - "TrapeziumRule", "ImplicitMidpoint", "QinZhang", + "ssprk3_increment", "TrapeziumRule", "ImplicitMidpoint", "QinZhang", "RK4", "Heun", "BDF2", "TR_BDF2", "AdamsBashforth", "Leapfrog", - "AdamsMoulton", "AdamsMoulton" + "AdamsMoulton", "AdamsMoulton", "ssprk3_predictor", "ssprk3_linear" ] ) def test_time_discretisation(tmpdir, scheme, tracer_setup): @@ -40,52 +30,12 @@ def test_time_discretisation(tmpdir, scheme, tracer_setup): V = domain.spaces("DG") eqn = AdvectionEquation(domain, V, "f") - if scheme == "ssprk2_increment_2": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.increment) - elif scheme == "ssprk2_predictor_2": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.predictor) - elif scheme == "ssprk2_linear_2": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.linear) - elif scheme == "ssprk2_increment_3": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.increment, stages=3) - elif scheme == "ssprk2_predictor_3": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.predictor, stages=3) - elif scheme == "ssprk2_linear_3": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.linear, stages=3) - elif scheme == "ssprk2_increment_4": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.increment, stages=4) - elif scheme == "ssprk2_predictor_4": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.predictor, stages=4) - elif scheme == "ssprk2_linear_4": - transport_scheme = SSPRK2(domain, rk_formulation=RungeKuttaFormulation.linear, stages=4) - - elif scheme == "ssprk3_increment_3": + if scheme == "ssprk3_increment": transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.increment) - elif scheme == "ssprk3_predictor_3": + elif scheme == "ssprk3_predictor": transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.predictor) - elif scheme == "ssprk3_linear_3": + elif scheme == "ssprk3_linear": transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.linear) - elif scheme == "ssprk3_increment_4": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.increment, stages=4) - elif scheme == "ssprk3_predictor_4": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.predictor, stages=4) - elif scheme == "ssprk3_linear_4": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.linear, stages=4) - - elif scheme == "ssprk3_increment_5": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.increment, stages=5) - elif scheme == "ssprk3_predictor_5": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.predictor, stages=5) - elif scheme == "ssprk3_linear_5": - transport_scheme = SSPRK3(domain, rk_formulation=RungeKuttaFormulation.linear, stages=5) - - elif scheme == "ssprk4_increment_5": - transport_scheme = SSPRK4(domain, rk_formulation=RungeKuttaFormulation.increment) - elif scheme == "ssprk4_predictor_5": - transport_scheme = SSPRK4(domain, rk_formulation=RungeKuttaFormulation.predictor) - elif scheme == "ssprk4_linear_5": - transport_scheme = SSPRK4(domain, rk_formulation=RungeKuttaFormulation.linear) - elif scheme == "TrapeziumRule": transport_scheme = TrapeziumRule(domain) elif scheme == "ImplicitMidpoint": diff --git a/integration-tests/physics/test_held_suarez_friction.py b/integration-tests/physics/test_held_suarez_friction.py deleted file mode 100644 index dfe7e34f9..000000000 --- a/integration-tests/physics/test_held_suarez_friction.py +++ /dev/null @@ -1,114 +0,0 @@ -""" -This tests the Rayleigh friction term used in the Held Suarez test case. -""" - -from gusto import * -import gusto.equations.thermodynamics as td -from gusto.core.labels import physics_label -from firedrake import (Constant, PeriodicIntervalMesh, as_vector, norm, - ExtrudedMesh, Function, dot) -from firedrake.fml import identity, drop - - -def run_apply_rayleigh_friction(dirname): - # ------------------------------------------------------------------------ # - # Set up model objects - # ------------------------------------------------------------------------ # - - dt = 3600.0 - - # declare grid shape, with length L and height H - L = 500. - H = 500. - nlayers = int(H / 5.) - ncolumns = int(L / 5.) - - # make mesh and domain - m = PeriodicIntervalMesh(ncolumns, L) - mesh = ExtrudedMesh(m, layers=nlayers, layer_height=(H / nlayers)) - domain = Domain(mesh, dt, "CG", 0) - - # Set up equation - parameters = CompressibleParameters() - eqn = CompressibleEulerEquations(domain, parameters) - - # I/O - output = OutputParameters(dirname=dirname+"/held_suarez_friction", - dumpfreq=1, - dumplist=['u']) - io = IO(domain, output) - - # Physics scheme - physics_parametrisation = RayleighFriction(eqn) - - time_discretisation = BackwardEuler(domain) - - # time_discretisation = ForwardEuler(domain) - physics_schemes = [(physics_parametrisation, time_discretisation)] - - # Only want time derivatives and physics terms in equation, so drop the rest - eqn.residual = eqn.residual.label_map(lambda t: any(t.has_label(time_derivative, physics_label)), - map_if_true=identity, map_if_false=drop) - - # Time stepper - scheme = ForwardEuler(domain) - stepper = SplitPhysicsTimestepper(eqn, scheme, io, - physics_schemes=physics_schemes) - - # ------------------------------------------------------------------------ # - # Initial conditions - # ------------------------------------------------------------------------ # - - Vu = domain.spaces("HDiv") - Vt = domain.spaces("theta") - Vr = domain.spaces("DG") - - # Declare prognostic fields - u0 = stepper.fields("u") - rho0 = stepper.fields("rho") - theta0 = stepper.fields("theta") - - # Set a background state with constant pressure and temperature - pressure = Function(Vr).interpolate(Constant(100000.)) - temperature = Function(Vt).interpolate(Constant(295.)) - theta_d = td.theta(parameters, temperature, pressure) - - theta0.project(theta_d) - rho0.interpolate(pressure / (temperature*parameters.R_d)) - - # Constant horizontal wind - u0.project(as_vector([864, 0.0])) - - # Answer: slower winds than initially - u_true = Function(Vu) - u_true.project(as_vector([828, 0.0])) - - # ------------------------------------------------------------------------ # - # Run - # ------------------------------------------------------------------------ # - - stepper.run(t=0, tmax=dt) - - return mesh, stepper, u_true - - -def test_rayleigh_friction(tmpdir): - - dirname = str(tmpdir) - mesh, stepper, u_true = run_apply_rayleigh_friction(dirname) - - u_final = stepper.fields('u') - - # Project into CG1 to get sensible values - e_x = as_vector([1.0, 0.0]) - e_z = as_vector([0.0, 1.0]) - - DG0 = FunctionSpace(mesh, "DG", 0) - u_x_final = Function(DG0).project(dot(u_final, e_x)) - u_x_true = Function(DG0).project(dot(u_true, e_x)) - u_z_final = Function(DG0).project(dot(u_final, e_z)) - u_z_true = Function(DG0).project(dot(u_true, e_z)) - - denom = norm(u_x_true) - assert norm(u_x_final - u_x_true) / denom < 0.0001, 'Final horizontal wind is incorrect' - assert norm(u_z_final - u_z_true) < 1e-12, 'Final vertical wind is incorrect' diff --git a/integration-tests/physics/test_held_suarez_relaxation.py b/integration-tests/physics/test_held_suarez_relaxation.py deleted file mode 100644 index 615ba8d29..000000000 --- a/integration-tests/physics/test_held_suarez_relaxation.py +++ /dev/null @@ -1,107 +0,0 @@ -""" -This tests the Held-Suarez physics routine to apply Rayleigh friction. -""" -from gusto import * -import gusto.equations.thermodynamics as td -from gusto.core.labels import physics_label -from firedrake import (Constant, PeriodicIntervalMesh, as_vector, - ExtrudedMesh, Function) -from firedrake.fml import identity, drop -import pytest - - -def run_held_suarez_relaxation(dirname, temp): - - # ------------------------------------------------------------------------ # - # Set up model objects - # ------------------------------------------------------------------------ # - - dt = 3600.0 - - # declare grid shape, with length L and height H - L = 500. - H = 500. - nlayers = int(H / 5.) - ncolumns = int(L / 5.) - - # make mesh and domain - m = PeriodicIntervalMesh(ncolumns, L) - mesh = ExtrudedMesh(m, layers=nlayers, layer_height=(H / nlayers)) - domain = Domain(mesh, dt, "CG", 0) - - # Set up equation - parameters = CompressibleParameters() - eqn = CompressibleEulerEquations(domain, parameters) - - # I/O - output = OutputParameters(dirname=dirname+"/held_suarez_friction", - dumpfreq=1, - dumplist=['u']) - io = IO(domain, output) - - # Physics scheme - physics_parametrisation = Relaxation(eqn, 'theta', parameters) - - time_discretisation = ForwardEuler(domain) - - # time_discretisation = ForwardEuler(domain) - physics_schemes = [(physics_parametrisation, time_discretisation)] - - # Only want time derivatives and physics terms in equation, so drop the rest - eqn.residual = eqn.residual.label_map(lambda t: any(t.has_label(time_derivative, physics_label)), - map_if_true=identity, map_if_false=drop) - - # Time stepper - scheme = ForwardEuler(domain) - stepper = SplitPhysicsTimestepper(eqn, scheme, io, - physics_schemes=physics_schemes) - - # ------------------------------------------------------------------------ # - # Initial conditions - # ------------------------------------------------------------------------ # - - Vt = domain.spaces("theta") - Vr = domain.spaces("DG") - - # Declare prognostic fields - u0 = stepper.fields("u") - rho0 = stepper.fields("rho") - theta0 = stepper.fields("theta") - - # Set a background state with constant pressure and temperature - p0 = 100000. - pressure = Function(Vr).interpolate(Constant(p0)) - temperature = Function(Vt).interpolate(Constant(temp)) - theta_d = td.theta(parameters, temperature, pressure) - - theta0.project(theta_d) - rho0.interpolate(p0 / (theta_d*parameters.R_d)) # This ensures that exner = 1 - - # Constant horizontal wind - u0.project(as_vector([1.0, 1.0])) - theta_initial = Function(Vt) - theta_initial.interpolate(theta_d) - - # ------------------------------------------------------------------------ # - # Run - # ------------------------------------------------------------------------ # - - stepper.run(t=0, tmax=dt) - - return stepper, theta_initial - - -@pytest.mark.parametrize('temp', [280, 290]) -def test_held_suarez_relaxation(tmpdir, temp): - # By configuring the fields we have set the equilibrium temperature to 285K - # We test a temperature value eith side to check it moves in the right direction - dirname = str(tmpdir) - stepper, theta_initial = run_held_suarez_relaxation(dirname, temp) - - theta_final = stepper.fields('theta') - final_data = theta_final.dat.data - initial_data = theta_initial.dat.data - if temp == 280: - assert np.mean(final_data) > np.mean(initial_data) - if temp == 290: - assert np.mean(final_data) < np.mean(initial_data) diff --git a/integration-tests/transport/test_vector_recovered_space.py b/integration-tests/transport/test_vector_recovered_space.py index 9f6dd773f..54c951cd7 100644 --- a/integration-tests/transport/test_vector_recovered_space.py +++ b/integration-tests/transport/test_vector_recovered_space.py @@ -15,9 +15,6 @@ def run(timestepper, tmax, f_end): return norm(timestepper.fields("f") - f_end) / norm(f_end) -# NB: The default vector transport test is not valid on the sphere as it is -# designed for a 3-component vector function space, and not the space of tangent -# vectors on the sphere @pytest.mark.parametrize("geometry", ["slice"]) def test_vector_recovered_space_setup(tmpdir, geometry, tracer_setup): diff --git a/integration-tests/transport/test_vorticity_transport.py b/integration-tests/transport/test_vorticity_transport.py deleted file mode 100644 index 1cd9bdcbb..000000000 --- a/integration-tests/transport/test_vorticity_transport.py +++ /dev/null @@ -1,111 +0,0 @@ -""" -This tests the transport of a vector-valued field using vorticity augmentation. -The computed solution is compared with a true one to check that the transport -is working correctly. -""" - -from gusto import * -from firedrake import ( - as_vector, norm, exp, PeriodicRectangleMesh, SpatialCoordinate, min_value -) -import pytest - - -def run(timestepper, tmax, f_end): - timestepper.run(0, tmax) - - return norm(timestepper.fields("f") - f_end) / norm(f_end) - - -@pytest.mark.parametrize("supg", [False, True]) -def test_vorticity_transport_setup(tmpdir, supg): - - # ------------------------------------------------------------------------ # - # Parameters for test case - # ------------------------------------------------------------------------ # - - Lx = 2000. # length of domain in x direction, in m - Ly = 2000. # width of domain in y direction, in m - ncells_1d = 20 # number of points in x and y directions - tmax = 500. - degree = 1 - - if supg: - # Smaller time steps for RK scheme - dt = 5.0 - dumpfreq = 50 - else: - dt = 25.0 - dumpfreq = 10 - - # ------------------------------------------------------------------------ # - # Set up model objects - # ------------------------------------------------------------------------ # - - mesh = PeriodicRectangleMesh(ncells_1d, ncells_1d, Lx, Ly, quadrilateral=True) - domain = Domain(mesh, dt, "RTCF", degree) - x, y = SpatialCoordinate(mesh) - - Vu = domain.spaces("HDiv") - - # Equation - eqn = AdvectionEquation(domain, Vu, "f") - - # I/O - dirname = f'{tmpdir}/vorticity_plane' - output = OutputParameters( - dirname=dirname, dumpfreq=dumpfreq, dump_nc=False, dump_vtus=True - ) - io = IO(domain, output) - - augmentation = VorticityTransport(domain, eqn, supg=supg) - - # Make equation - if supg: - transport_scheme = SSPRK3( - domain, augmentation=augmentation, - rk_formulation=RungeKuttaFormulation.predictor - ) - else: - transport_scheme = TrapeziumRule(domain, augmentation=augmentation) - transport_method = DGUpwind(eqn, "f") - - time_varying_velocity = False - timestepper = PrescribedTransport( - eqn, transport_scheme, io, time_varying_velocity, transport_method - ) - - # ------------------------------------------------------------------------ # - # Initial conditions - # ------------------------------------------------------------------------ # - - # Specify locations of the two Gaussians - xc = Lx/2. - xend = 3.*Lx/4. - yc = Ly/2. - - def l2_dist(xc, yc): - return min_value(abs(x - xc), Lx - abs(x - xc))**2 + (y - yc)**2 - - f0 = 1. - lc = 4.*Lx/25. - - init_scalar_expr = f0*exp(-l2_dist(xc, yc)/lc**2) - uexpr = as_vector([1.0, 0.0]) - - # Set fields - f = timestepper.fields("f") - f.project(as_vector([init_scalar_expr, init_scalar_expr])) - - u0 = timestepper.fields("u") - u0.project(uexpr) - - final_scalar_expr = f0*exp(-l2_dist(xend, yc)/lc**2) - final_vector_expr = as_vector([final_scalar_expr, final_scalar_expr]) - - # Run and check error - error = run(timestepper, tmax, final_vector_expr) - - tol = 1e-1 - assert error < tol, \ - 'The transport error is greater than the permitted tolerance' diff --git a/unit-tests/diagnostic_tests/test_cumulative_sum.py b/unit-tests/diagnostic_tests/test_cumulative_sum.py deleted file mode 100644 index 295e522ca..000000000 --- a/unit-tests/diagnostic_tests/test_cumulative_sum.py +++ /dev/null @@ -1,48 +0,0 @@ - -from gusto.diagnostics import CumulativeSum -from gusto.core.fields import StateFields, PrescribedFields, TimeLevelFields -from gusto import (Domain, CompressibleParameters, CompressibleEulerEquations, - WaterVapour) -from firedrake import PeriodicIntervalMesh, ExtrudedMesh -import numpy as np - - -def test_dewpoint(): - - L = 10 - H = 10 - ncol = 3 - nlayers = 3 - - m = PeriodicIntervalMesh(ncol, L) - mesh = ExtrudedMesh(m, layers=nlayers, layer_height=H/nlayers) - - domain = Domain(mesh, 0.1, 'CG', 1) - params = CompressibleParameters() - active_tracers = [WaterVapour()] - eqn = CompressibleEulerEquations(domain, params, active_tracers=active_tracers) - prog_fields = TimeLevelFields(eqn) - - Vtheta = domain.spaces('theta') - - # Setting up prognostic fields for the diagnostic to use - prescribed_fields = PrescribedFields() - state_fields = StateFields(prog_fields, prescribed_fields) - - theta = state_fields('theta', Vtheta) - - # Initial conditions - theta.interpolate(300.0) - - diagnostic = CumulativeSum(name='theta') - diagnostic.setup(domain, state_fields) - diagnostic.compute() - - assert np.allclose(diagnostic.field.dat.data, 300.0, atol=0.0), \ - 'The cumulative sum diagnostic does not seem to be correct after 1 iteration' - - theta.interpolate(250.0) - diagnostic.compute() - - assert np.allclose(diagnostic.field.dat.data, 550.0, atol=0.0), \ - 'The cumulative sum diagnostic does not seem to be correct after 2 iterations' diff --git a/unit-tests/test_function_spaces.py b/unit-tests/test_function_spaces.py index bcf105e35..b39aa8cc5 100644 --- a/unit-tests/test_function_spaces.py +++ b/unit-tests/test_function_spaces.py @@ -100,27 +100,6 @@ def test_de_rham_spaces(domain, family): assert elt.degree() == degree, '"L2" space does not seem to be degree ' \ + f'{degree}. Found degree {elt.degree()}' - # Check that continuities have been recorded correctly - if hasattr(mesh, "_base_mesh"): - expected_continuity = { - "H1": {'horizontal': True, 'vertical': True}, - "L2": {'horizontal': False, 'vertical': False}, - "HDiv": {'horizontal': True, 'vertical': True}, - "HCurl": {'horizontal': True, 'vertical': True}, - "theta": {'horizontal': False, 'vertical': True} - } - else: - expected_continuity = { - "H1": True, - "L2": False, - "HDiv": True, - "HCurl": True - } - - for space, continuity in expected_continuity.items(): - if space in spaces.continuity: - assert spaces.continuity[space] == continuity - # ---------------------------------------------------------------------------- # # Test creation of DG1 equispaced @@ -139,13 +118,6 @@ def test_dg_equispaced(domain, family): assert elt.variant() == "equispaced", '"DG1 equispaced" does not seem to ' \ + f'be equispaced variant. Found variant {elt.variant()}' - if hasattr(mesh, "_base_mesh"): - expected_continuity = {'horizontal': False, 'vertical': False} - else: - expected_continuity = False - - assert spaces.continuity['DG1_equispaced'] == expected_continuity, "DG is discontinuous" - # ---------------------------------------------------------------------------- # # Test creation of DG0 space @@ -161,13 +133,6 @@ def test_dg0(domain, family): assert elt.degree() in [0, (0, 0)], '"DG0" space does not seem to be' \ + f'degree 0. Found degree {elt.degree()}' - if hasattr(mesh, "_base_mesh"): - expected_continuity = {'horizontal': False, 'vertical': False} - else: - expected_continuity = False - - assert spaces.continuity['DG0'] == expected_continuity, "DG is discontinuous" - # ---------------------------------------------------------------------------- # # Test creation of a general CG space @@ -185,10 +150,3 @@ def test_cg(domain, family): assert elt.degree() == degree or elt.degree() == (degree, degree), \ (f'"CG" space does not seem to be degree {degree}. ' + f'Found degree {elt.degree()}') - - if hasattr(mesh, "_base_mesh"): - expected_continuity = {'horizontal': True, 'vertical': True} - else: - expected_continuity = True - - assert spaces.continuity['CG'] == expected_continuity, "CG is continuous"

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integration-tests/adjoints/{test_diffusion.py => test_diffusion_sensitivity.py} (100%) rename integration-tests/adjoints/{test_moist_thermal_williamson_5.py => test_moist_thermal_williamson_5_sensitivity.py} (100%) rename integration-tests/adjoints/{test_shallow_water.py => test_shallow_water_sensitivity.py} (100%) diff --git a/docs/notebook/shallow_water_adjoint.ipynb b/docs/notebook/shallow_water_adjoint.ipynb index 934e4ea7a..a004cc6fe 100644 --- a/docs/notebook/shallow_water_adjoint.ipynb +++ b/docs/notebook/shallow_water_adjoint.ipynb @@ -6,20 +6,20 @@ "source": [ "# Sensitivities computation via automated adjoint for a 2D shallow water model\n", "\n", - "This notebooks seeks to demonstrate how to compute sensitivities of a cost function with respect to control parameters using automated adjoints, which is a tool provided by the Firedrake library. The model used in this notebook is a 2D shallow water model on a sphere. \n", + "This notebook demonstrates how to compute sensitivities (gradient) of a cost function with respect to control parameters using automated adjoints, which is a tool provided by the Firedrake library. The model used in this notebook is a 2D shallow water model on a sphere. \n", "\n", "## Cost function and model\n", "The cost function measures the summation of the kinetic and the potential energy of the fluid, which is modelled by the following expression:\n", "\\begin{equation}\n", - "J = \\int_{\\Omega} \\left( \\frac{1}{2} \\textbf{u} \\cdot \\textbf{u} + \\frac{1}{2} g D^2 \\right) \\, dx,\n", + "J = \\int_{\\Omega} \\left( \\frac{1}{2} \\textbf{u}(\\mathbf{x}, t_f) \\cdot \\textbf{u}(\\mathbf{x}, t_f) + \\frac{1}{2} g D^2(\\mathbf{x}, t_f) \\right) \\, dx,\n", "\\end{equation}\n", - "where $\\textbf{u}$ is the velocity of the fluid, $D$ is the fluid depth, and $g$ is the gravitational acceleration. The model is governed by the following set of equations:\n", + "where $\\textbf{u} (\\mathbf{x}, t_f)$ is the velocity of the fluid at the final step $t_f$, $D(\\mathbf{x}, t_f)$ is the fluid depth at the final step, and $g$ is the gravitational acceleration. The model is governed by the following set of equations:\n", "\n", "\\begin{align}\n", " \\textbf{u}_t + (\\textbf{u} \\cdot \\nabla) \\textbf{u} + f \\textbf{u}^{\\perp} + g \\nabla (D + b) &= 0, \\tag{2}\\\\\n", " D_t + \\nabla \\cdot (D \\textbf{u}) &= 0, \\tag{3}\n", "\\end{align}\n", - "where $f$ is the Coriolis parameter, the fluid depth is given by $D = H+h-b$, where $H$ is the mean fluid depth, $h$ is the free surface height and $b$ is the topography. No boundary conditions are required as in this case we are solving on a spherical domain." + "where $f$ is the Coriolis parameter, the fluid depth is given by $D = H+h-b$, where $H$ is the mean fluid depth, $h$ is the free surface height and $b$ is the topography. No boundary conditions are required as in this case we are solving on a spherical domain, $\\Omega$." ] }, { @@ -32,17 +32,9 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 80, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO Running /Users/ddolci/work/firedrake/lib/python3.13/site-packages/ipykernel_launcher.py --f=/Users/ddolci/Library/Jupyter/runtime/kernel-v38f09c6c2de87f5b866ca966324397dff906401c5.json\n" - ] - } - ], + "outputs": [], "source": [ "from firedrake import *\n", "from gusto import *" @@ -57,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 81, "metadata": {}, "outputs": [], "source": [ @@ -74,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 82, "metadata": {}, "outputs": [], "source": [ @@ -92,7 +84,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 83, "metadata": {}, "outputs": [], "source": [ @@ -109,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 84, "metadata": {}, "outputs": [], "source": [ @@ -141,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 85, "metadata": {}, "outputs": [], "source": [ @@ -164,7 +156,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -172,7 +164,9 @@ "output_type": "stream", "text": [ "INFO Physical parameters that take non-default values:\n", - "INFO H: 5960.0\n" + "INFO:gusto:Physical parameters that take non-default values:\n", + "INFO H: 5960.0\n", + "INFO:gusto:H: 5960.0\n" ] } ], @@ -193,22 +187,21 @@ "\\begin{align}\n", " \\textbf{u}_0 &= \\frac{u_{max}}{R} [-y,x,0], \\tag{4}\\\\\n", " D_0 &= H - \\frac{\\Omega u_{max} z^2}{g R} \\tag{5}\n", - "\\end{align}\n", - "Due to our choice of function spaces for the velocity and depth, the initialisations of each variable use projection and interpolation operations respectively." + "\\end{align}" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Coefficient(WithGeometry(IndexedProxyFunctionSpace(, FiniteElement('Discontinuous Lagrange', triangle, 1), name='L2', index=1, component=None), Mesh(VectorElement(FiniteElement('Lagrange', triangle, 2), dim=3), 4)), 90)" + "Coefficient(WithGeometry(IndexedProxyFunctionSpace(, FiniteElement('Discontinuous Lagrange', triangle, 1), name='L2', index=1, component=None), Mesh(VectorElement(FiniteElement('Lagrange', triangle, 2), dim=3), 175601)), 248029)" ] }, - "execution_count": 8, + "execution_count": 87, "metadata": {}, "output_type": "execute_result" } @@ -235,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 88, "metadata": {}, "outputs": [], "source": [ @@ -247,12 +240,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We are almost read to run the model. Before we do so, we have to tape the model in ordem to compute the sensititivities via automated adjoint. Henve, at this point we import ``firedrake.adjoint`` and enable the tape of the forward solver (Shallow Water model) with ``continue_annotation()``." + "We are almost read to run the model. Before we do so, we have to tape the model in ordem to compute the sensititivities via automated adjoint. Hence, at this point we import ``firedrake.adjoint`` and enable the tape of the forward solver (Shallow Water model) with ``continue_annotation()``." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 89, "metadata": {}, "outputs": [ { @@ -261,7 +254,7 @@ "True" ] }, - "execution_count": 10, + "execution_count": 89, "metadata": {}, "output_type": "execute_result" } @@ -280,94 +273,366 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 90, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ + "DEBUG:gusto:Dumping output to disk\n", "INFO \n", + "INFO:gusto:\n", "INFO ========================================\n", + "INFO:gusto:========================================\n", "INFO at start of timestep 1, t=0.0, dt=900.0\n", + "INFO:gusto:at start of timestep 1, t=0.0, dt=900.0\n", "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO:gusto:Semi-implicit Quasi Newton: Explicit forcing\n", + "DEBUG:gusto: Residual norms for ExplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 3.717272816438e+05 true resid norm 3.717272816438e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.620107299083e-10 true resid norm 1.620107299083e-10 ||r(i)||/||b|| 4.358322294556e-16\n", "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.585397212708e+05 true resid norm 6.127594999762e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.064757082310e+04 true resid norm 6.297866206201e+03 ||r(i)||/||b|| 1.027787607772e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 1.984167553564e+02 true resid norm 2.154172949430e+02 ||r(i)||/||b|| 3.515527624645e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 4.896138420464e+00 true resid norm 5.372370990865e+00 ||r(i)||/||b|| 8.767503386031e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 4.896138420921e+00 true resid norm 5.372370992372e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.213180858366e-01 true resid norm 1.505771328497e-01 ||r(i)||/||b|| 2.802805931748e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.386110502201e-03 true resid norm 7.233829275614e-03 ||r(i)||/||b|| 1.346487293205e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.888081698314e-04 true resid norm 2.155980867138e-04 ||r(i)||/||b|| 4.013090068052e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.508958609457e-06 true resid norm 8.412262624625e-06 ||r(i)||/||b|| 1.565837995285e-06\n", "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.901594446440e-07 true resid norm 5.901594446440e-07 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 3.718314622419e-22 true resid norm 3.718314622419e-22 ||r(i)||/||b|| 6.300525487076e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 3.478820869067e+05 true resid norm 3.478820869067e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.994472980877e-10 true resid norm 1.994472980877e-10 ||r(i)||/||b|| 5.733186777771e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.587569440754e+05 true resid norm 6.129105611037e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.065740127148e+04 true resid norm 6.297890541694e+03 ||r(i)||/||b|| 1.027538264368e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 1.985356265347e+02 true resid norm 2.156115172251e+02 ||r(i)||/||b|| 3.517830021347e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 4.881602606427e+00 true resid norm 5.364127741803e+00 ||r(i)||/||b|| 8.751893150843e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 4.881602606361e+00 true resid norm 5.364127745118e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.189409731723e-01 true resid norm 1.489319454693e-01 ||r(i)||/||b|| 2.776442928767e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.287887155869e-03 true resid norm 7.132861396961e-03 ||r(i)||/||b|| 1.329733693135e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.876689010863e-04 true resid norm 2.147829601784e-04 ||r(i)||/||b|| 4.004061245072e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.484304727953e-06 true resid norm 8.385391455195e-06 ||r(i)||/||b|| 1.563234854507e-06\n", "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.375704065564e+05 true resid norm 3.375200844565e+05 ||r(i)||/||b|| 2.453435247486e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 5.515968938792e-11 true resid norm 5.515968938792e-11 ||r(i)||/||b|| 4.009560687406e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.066019019371e+05 true resid norm 2.423054418141e+05 ||r(i)||/||b|| 2.272993609037e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 3.961061610235e-11 true resid norm 3.961061610235e-11 ||r(i)||/||b|| 3.715751349890e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "DEBUG:gusto:Leaving Semi-implicit Quasi-Newton timestep method\n", "INFO \n", + "INFO:gusto:\n", "INFO ========================================\n", + "INFO:gusto:========================================\n", "INFO at start of timestep 2, t=900.0, dt=900.0\n", + "INFO:gusto:at start of timestep 2, t=900.0, dt=900.0\n", "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO:gusto:Semi-implicit Quasi Newton: Explicit forcing\n", + "DEBUG:gusto: Residual norms for ExplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.362120374912e+04 true resid norm 3.859973858259e+05 ||r(i)||/||b|| 7.198596055991e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.893877795969e-11 true resid norm 1.893877795969e-11 ||r(i)||/||b|| 3.531956881890e-16\n", "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.604766785161e+05 true resid norm 6.152090559168e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.068399186592e+04 true resid norm 6.329441734408e+03 ||r(i)||/||b|| 1.028827790088e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.000708822109e+02 true resid norm 2.162420601441e+02 ||r(i)||/||b|| 3.514936232886e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 4.931342828052e+00 true resid norm 5.396506875620e+00 ||r(i)||/||b|| 8.771826135717e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 4.931342827824e+00 true resid norm 5.396506873935e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.227791166505e-01 true resid norm 1.521523930563e-01 ||r(i)||/||b|| 2.819460747677e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.471748032847e-03 true resid norm 7.301465459939e-03 ||r(i)||/||b|| 1.352998454464e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.898529502076e-04 true resid norm 2.167792649846e-04 ||r(i)||/||b|| 4.017029349701e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.555933266040e-06 true resid norm 8.456006918931e-06 ||r(i)||/||b|| 1.566940822363e-06\n", "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.922290117006e-07 true resid norm 1.066019019371e+05 ||r(i)||/||b|| 1.800011479190e+11\n", + "DEBUG:gusto: 1 KSP no resid norm 3.792661951956e-22 true resid norm 3.792661951956e-22 ||r(i)||/||b|| 6.404046200075e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 4.082629514187e+05 true resid norm 4.082629514187e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.613042924564e-10 true resid norm 1.613042924564e-10 ||r(i)||/||b|| 3.950990210987e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.613736253633e+05 true resid norm 6.164185032864e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.069411765753e+04 true resid norm 6.344717297526e+03 ||r(i)||/||b|| 1.029287288376e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.006967024553e+02 true resid norm 2.165291243542e+02 ||r(i)||/||b|| 3.512696701994e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 4.955181626652e+00 true resid norm 5.408670055491e+00 ||r(i)||/||b|| 8.774347341385e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 4.955181626602e+00 true resid norm 5.408670055861e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.250540665393e-01 true resid norm 1.538410757549e-01 ||r(i)||/||b|| 2.844342031702e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.571771905522e-03 true resid norm 7.390528689363e-03 ||r(i)||/||b|| 1.366422542517e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.910313160878e-04 true resid norm 2.176203600240e-04 ||r(i)||/||b|| 4.023546597897e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.593703303884e-06 true resid norm 8.487476707684e-06 ||r(i)||/||b|| 1.569235434964e-06\n", "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.547025377642e+05 true resid norm 4.944980624256e+05 ||r(i)||/||b|| 3.196444412432e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 6.244438529493e-11 true resid norm 6.244438529493e-11 ||r(i)||/||b|| 4.036416350848e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.129613821142e+05 true resid norm 2.644949396295e+05 ||r(i)||/||b|| 2.341463380486e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 5.188974790380e-11 true resid norm 5.188974790380e-11 ||r(i)||/||b|| 4.593582951327e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "DEBUG:gusto:Leaving Semi-implicit Quasi-Newton timestep method\n", "INFO \n", + "INFO:gusto:\n", "INFO ========================================\n", + "INFO:gusto:========================================\n", "INFO at start of timestep 3, t=1800.0, dt=900.0\n", + "INFO:gusto:at start of timestep 3, t=1800.0, dt=900.0\n", "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO:gusto:Semi-implicit Quasi Newton: Explicit forcing\n", + "DEBUG:gusto: Residual norms for ExplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 4.918470774046e+04 true resid norm 4.603785515452e+04 ||r(i)||/||b|| 9.360196953382e-01\n", + "DEBUG:gusto: 1 KSP no resid norm 1.709363306585e-11 true resid norm 1.709363306585e-11 ||r(i)||/||b|| 3.475395880372e-16\n", "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.628475674062e+05 true resid norm 6.207601980794e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.066580831543e+04 true resid norm 6.385116455001e+03 ||r(i)||/||b|| 1.028596304137e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.011618065183e+02 true resid norm 2.163257559986e+02 ||r(i)||/||b|| 3.484852229056e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.009107162475e+00 true resid norm 5.422766781313e+00 ||r(i)||/||b|| 8.735686982011e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.009107162336e+00 true resid norm 5.422766781943e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.310238285189e-01 true resid norm 1.585661985134e-01 ||r(i)||/||b|| 2.924082943073e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.804915566986e-03 true resid norm 7.593813246366e-03 ||r(i)||/||b|| 1.400357705157e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.933081298615e-04 true resid norm 2.185050909137e-04 ||r(i)||/||b|| 4.029402327263e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.653093695177e-06 true resid norm 8.546658817820e-06 ||r(i)||/||b|| 1.576069774249e-06\n", "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.845374237257e-07 true resid norm 1.129613821142e+05 ||r(i)||/||b|| 1.932491873560e+11\n", + "DEBUG:gusto: 1 KSP no resid norm 3.760932244576e-22 true resid norm 3.760932244576e-22 ||r(i)||/||b|| 6.434031581082e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 4.068447998955e+05 true resid norm 4.068447998955e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.302395903596e-10 true resid norm 1.302395903596e-10 ||r(i)||/||b|| 3.201210643298e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.637275978130e+05 true resid norm 6.223345449248e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.068196732817e+04 true resid norm 6.400945806866e+03 ||r(i)||/||b|| 1.028537763019e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.017322034986e+02 true resid norm 2.166513722980e+02 ||r(i)||/||b|| 3.481268620949e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.031640760550e+00 true resid norm 5.431779556009e+00 ||r(i)||/||b|| 8.728070135757e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.031640760269e+00 true resid norm 5.431779557485e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.327606111123e-01 true resid norm 1.598490164410e-01 ||r(i)||/||b|| 2.942848006795e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.868316502526e-03 true resid norm 7.641905040180e-03 ||r(i)||/||b|| 1.406887919384e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.945661057793e-04 true resid norm 2.190233858132e-04 ||r(i)||/||b|| 4.032258369384e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.688507454708e-06 true resid norm 8.579874687314e-06 ||r(i)||/||b|| 1.579569751775e-06\n", "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.199022954527e+05 true resid norm 4.055284066275e+05 ||r(i)||/||b|| 3.382157156344e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 5.290535120365e-11 true resid norm 5.290535120365e-11 ||r(i)||/||b|| 4.412371840247e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 9.656092509913e+04 true resid norm 2.151199852505e+05 ||r(i)||/||b|| 2.227816117437e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 4.368178127942e-11 true resid norm 4.368178127942e-11 ||r(i)||/||b|| 4.523753395545e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "DEBUG:gusto:Leaving Semi-implicit Quasi-Newton timestep method\n", "INFO \n", + "INFO:gusto:\n", "INFO ========================================\n", + "INFO:gusto:========================================\n", "INFO at start of timestep 4, t=2700.0, dt=900.0\n", + "INFO:gusto:at start of timestep 4, t=2700.0, dt=900.0\n", "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO:gusto:Semi-implicit Quasi Newton: Explicit forcing\n", + "DEBUG:gusto: Residual norms for ExplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 3.623731520079e+04 true resid norm 6.791995697676e+04 ||r(i)||/||b|| 1.874309854370e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.377006062130e-11 true resid norm 1.377006062130e-11 ||r(i)||/||b|| 3.799967118149e-16\n", "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.655756934086e+05 true resid norm 6.263209139889e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.071506957247e+04 true resid norm 6.441284811339e+03 ||r(i)||/||b|| 1.028432017433e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.023667345222e+02 true resid norm 2.177420973958e+02 ||r(i)||/||b|| 3.476526051303e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.037205816478e+00 true resid norm 5.414858593667e+00 ||r(i)||/||b|| 8.645501807023e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.037205816945e+00 true resid norm 5.414858596158e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.308305953126e-01 true resid norm 1.583788999825e-01 ||r(i)||/||b|| 2.924894476374e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.800830603278e-03 true resid norm 7.535497309851e-03 ||r(i)||/||b|| 1.391633258013e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.951814065919e-04 true resid norm 2.176322724719e-04 ||r(i)||/||b|| 4.019168157527e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.684913337251e-06 true resid norm 8.591881993703e-06 ||r(i)||/||b|| 1.586723243299e-06\n", "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.930426159714e-07 true resid norm 9.656092509912e+04 ||r(i)||/||b|| 1.628229110331e+11\n", + "DEBUG:gusto: 1 KSP no resid norm 3.788205038540e-22 true resid norm 3.788205038540e-22 ||r(i)||/||b|| 6.387745056626e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 2.870374044092e+05 true resid norm 2.870374044092e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.282656149014e-10 true resid norm 1.282656149014e-10 ||r(i)||/||b|| 4.468602799884e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.664936934029e+05 true resid norm 6.275513396511e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.075136327118e+04 true resid norm 6.442870975745e+03 ||r(i)||/||b|| 1.026668348653e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.030257661540e+02 true resid norm 2.186361917364e+02 ||r(i)||/||b|| 3.483957055337e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.034072905720e+00 true resid norm 5.418192805198e+00 ||r(i)||/||b|| 8.633863817756e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.034072905562e+00 true resid norm 5.418192806697e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.298184557140e-01 true resid norm 1.575351913962e-01 ||r(i)||/||b|| 2.907522803572e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.767180921667e-03 true resid norm 7.495866514393e-03 ||r(i)||/||b|| 1.383462490506e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.951345461690e-04 true resid norm 2.173722948979e-04 ||r(i)||/||b|| 4.011896635152e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.682088429556e-06 true resid norm 8.582316804832e-06 ||r(i)||/||b|| 1.583981432743e-06\n", "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.346881528775e+05 true resid norm 2.754043729863e+05 ||r(i)||/||b|| 2.044755734655e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 4.386840848005e-11 true resid norm 4.386840848005e-11 ||r(i)||/||b|| 3.257035421665e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.032755124426e+05 true resid norm 2.367036499603e+05 ||r(i)||/||b|| 2.291962967425e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 3.628393263694e-11 true resid norm 3.628393263694e-11 ||r(i)||/||b|| 3.513314219293e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "DEBUG:gusto:Leaving Semi-implicit Quasi-Newton timestep method\n", "INFO \n", + "INFO:gusto:\n", "INFO ========================================\n", + "INFO:gusto:========================================\n", "INFO at start of timestep 5, t=3600.0, dt=900.0\n", + "INFO:gusto:at start of timestep 5, t=3600.0, dt=900.0\n", "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO:gusto:Semi-implicit Quasi Newton: Explicit forcing\n", + "DEBUG:gusto: Residual norms for ExplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 2.993856955300e+04 true resid norm 3.914845825554e+04 ||r(i)||/||b|| 1.307626210606e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 1.117982053676e-11 true resid norm 1.117982053676e-11 ||r(i)||/||b|| 3.734253407454e-16\n", "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.712284756826e+05 true resid norm 6.318020945328e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.092236059309e+04 true resid norm 6.475907500247e+03 ||r(i)||/||b|| 1.024989875198e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.068099444904e+02 true resid norm 2.232405514586e+02 ||r(i)||/||b|| 3.533393659033e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.037550826001e+00 true resid norm 5.449947978305e+00 ||r(i)||/||b|| 8.626036579279e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.037550825972e+00 true resid norm 5.449947976511e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.262184219078e-01 true resid norm 1.548699263179e-01 ||r(i)||/||b|| 2.841677149679e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.660094330537e-03 true resid norm 7.385726291473e-03 ||r(i)||/||b|| 1.355192072164e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.943513776045e-04 true resid norm 2.167003730878e-04 ||r(i)||/||b|| 3.976191589750e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.676621445170e-06 true resid norm 8.553356571439e-06 ||r(i)||/||b|| 1.569438205337e-06\n", "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 0: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 5.802708268023e-07 true resid norm 1.032755124426e+05 ||r(i)||/||b|| 1.779781227530e+11\n", + "DEBUG:gusto: 1 KSP no resid norm 3.767179856699e-22 true resid norm 3.767179856699e-22 ||r(i)||/||b|| 6.492106241941e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 2.027107463164e+05 true resid norm 2.027107463164e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 7.869384266651e-11 true resid norm 7.869384266651e-11 ||r(i)||/||b|| 3.882075523697e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: u\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.733314345061e+05 true resid norm 6.333470343240e+05 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 1.098965232923e+04 true resid norm 6.488475328056e+03 ||r(i)||/||b|| 1.024473941838e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 2.084150171367e+02 true resid norm 2.252619676010e+02 ||r(i)||/||b|| 3.556690967084e-04\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 5.035195935951e+00 true resid norm 5.465094804057e+00 ||r(i)||/||b|| 8.628910388585e-06\n", + "DEBUG:gusto: Residual norms for uTrapeziumRule_ solve\n", + "DEBUG:gusto: 0 KSP preconditioned resid norm 5.035195935774e+00 true resid norm 5.465094802197e+00 ||r(i)||/||b|| 1.000000000000e+00\n", + "DEBUG:gusto: 1 KSP preconditioned resid norm 2.252681932078e-01 true resid norm 1.541017486928e-01 ||r(i)||/||b|| 2.819745206082e-02\n", + "DEBUG:gusto: 2 KSP preconditioned resid norm 8.634772911632e-03 true resid norm 7.362233497288e-03 ||r(i)||/||b|| 1.347137380733e-03\n", + "DEBUG:gusto: 3 KSP preconditioned resid norm 2.938027804860e-04 true resid norm 2.166120739369e-04 ||r(i)||/||b|| 3.963555652316e-05\n", + "DEBUG:gusto: 4 KSP preconditioned resid norm 9.671700592498e-06 true resid norm 8.527053629568e-06 ||r(i)||/||b|| 1.560275519125e-06\n", "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO:gusto:Semi-implicit Quasi Newton: Transport 1: D\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.401792544219e+05 true resid norm 2.581791465204e+05 ||r(i)||/||b|| 1.841778568342e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 5.654885791223e-11 true resid norm 5.654885791223e-11 ||r(i)||/||b|| 4.034038998527e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO:gusto:Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "DEBUG:gusto: Residual norms for ImplicitForcingSolver_ solve\n", + "DEBUG:gusto: 0 KSP no resid norm 1.099362982095e+05 true resid norm 2.494150460533e+05 ||r(i)||/||b|| 2.268723343568e+00\n", + "DEBUG:gusto: 1 KSP no resid norm 4.166161929637e-11 true resid norm 4.166161929637e-11 ||r(i)||/||b|| 3.789614529042e-16\n", "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", - "INFO TIMELOOP complete. t=4500.00000, tmax=4500.00000\n" + "INFO:gusto:Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "DEBUG:gusto:Leaving Semi-implicit Quasi-Newton timestep method\n", + "INFO TIMELOOP complete. t=4500.00000, tmax=4500.00000\n", + "INFO:gusto:TIMELOOP complete. t=4500.00000, tmax=4500.00000\n" ] } ], @@ -385,30 +650,30 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 91, "metadata": {}, "outputs": [], "source": [ - "u = stepper.fields('u') # Final velocity field\n", - "D = stepper.fields('D') # Final depth field\n", + "u_tf = stepper.fields('u') # Final velocity field\n", + "D_tf = stepper.fields('D') # Final depth field\n", "\n", - "J = assemble(0.5*inner(u, u)*dx + 0.5*g*D**2*dx)" + "J = assemble(0.5*inner(u_tf, u_tf)*dx + 0.5*g*D_tf**2*dx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can finally run our sensitivity computation: gradient of the cost function with respect initial fluid depth. The computation of the gradient can be done using the `compute_gradient` function from the `firedrake.adjoint` module. Before, we have to define the control variable." + "We have to define the control variable: initial fluid depth $D_0$ and the velocity $\\textbf{u}_0$. Finally, we run the sensitivity computation: gradient of the cost function with respect $D_0$ and $\\textbf{u}_0$. The computation of the gradient is done with `compute_gradient` function from the `firedrake.adjoint` module." ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 92, "metadata": {}, "outputs": [], "source": [ - "control = [Control(D0), Control(u0)]\n", + "control = [Control(D0), Control(u0)] # Control variables\n", "grad = compute_gradient(J, control)" ] }, @@ -421,7 +686,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 93, "metadata": {}, "outputs": [], "source": [ @@ -432,55 +697,57 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We then verify the gradient computation using the `taylor_test` function from the `firedrake.adjoint` module." + "We then verify the gradient computation using the ``taylor_test``. We already taped the forward model. Any additional operation as bellow, for the Taylor's test, does not require the tape to be enabled. Thus, we can stop annotating." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 94, "metadata": {}, "outputs": [ { - "ename": "ValueError", - "evalue": "1 perturbations are given but only 2 expansion points are provided", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[15], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m h0 \u001b[38;5;241m=\u001b[39m Function(D0\u001b[38;5;241m.\u001b[39mfunction_space())\u001b[38;5;241m.\u001b[39minterpolate(\u001b[38;5;241m1.\u001b[39m)\n\u001b[1;32m 2\u001b[0m h1 \u001b[38;5;241m=\u001b[39m Function(u0\u001b[38;5;241m.\u001b[39mfunction_space())\u001b[38;5;241m.\u001b[39massign(\u001b[38;5;241m1.\u001b[39m)\n\u001b[0;32m----> 3\u001b[0m \u001b[43mtaylor_test\u001b[49m\u001b[43m(\u001b[49m\u001b[43mJ_hat\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43mD0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mu0\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mFunction\u001b[49m\u001b[43m(\u001b[49m\u001b[43mD0\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfunction_space\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minterpolate\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1.\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/work/firedrake/src/pyadjoint/pyadjoint/verification.py:32\u001b[0m, in \u001b[0;36mtaylor_test\u001b[0;34m(J, m, h, dJdm, Hm)\u001b[0m\n\u001b[1;32m 29\u001b[0m ms \u001b[38;5;241m=\u001b[39m Enlist(m)\n\u001b[1;32m 31\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(hs) \u001b[38;5;241m!=\u001b[39m \u001b[38;5;28mlen\u001b[39m(ms):\n\u001b[0;32m---> 32\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 33\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m%d\u001b[39;00m\u001b[38;5;124m perturbations are given but only \u001b[39m\u001b[38;5;132;01m%d\u001b[39;00m\u001b[38;5;124m expansion points are provided\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m%\u001b[39m (\u001b[38;5;28mlen\u001b[39m(hs), \u001b[38;5;28mlen\u001b[39m(ms)))\n\u001b[1;32m 35\u001b[0m Jm \u001b[38;5;241m=\u001b[39m J(m)\n\u001b[1;32m 36\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m dJdm \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", - "\u001b[0;31mValueError\u001b[0m: 1 perturbations are given but only 2 expansion points are provided" + "name": "stdout", + "output_type": "stream", + "text": [ + "Running Taylor test\n", + "Computed residuals: [151981167509504.0, 37995189125120.0, 9498745905152.0, 2374616748032.0]\n", + "Computed convergence rates: [np.float64(2.0000039015457785), np.float64(2.0000078031232102), np.float64(2.0000423626811754)]\n" ] } ], "source": [ - "h0 = Function(D0.function_space()).interpolate(1.)\n", - "h1 = Function(u0.function_space()).assign(1.)\n", - "taylor_test(J_hat, [D0, u0], [h0, h1])" + "import numpy as np\n", + "with stop_annotating():\n", + " # Stop annotation to perform the Taylor test\n", + " h0 = Function(D0.function_space())\n", + " h1 = Function(u0.function_space())\n", + " h0.assign(D0 * np.random.rand())\n", + " h1.assign(u0 * np.random.rand())\n", + " taylor_test(J_hat, [D0, u0], [h0, h1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That is great! He have a senitivity computation via automated adjoint with Gusto! In addition, we have verified the gradient computation with a second order Taylor's test, which is a good practice to ensure the correctness of the gradient computation. See the results above are close to the expected values, 2.0." + "That is great! we have a senitivity computation via automated adjoint with Gusto! In addition, we have verified the gradient computation with a second order Taylor's test, which is a good practice to ensure the correctness of the gradient computation. See the results above are close to the expected values, 2.0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For a notebook demosntration of adjoints, it is a good practice clear the tape, and stop annotating the forward solver." + "For a notebook demosntration of adjoints, it is a good practice clear the tape. This is because if we do not clear the tape, the tape will keep growing every time we run the model." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 95, "metadata": {}, "outputs": [], "source": [ - "# tape = get_working_tape()\n", - "# tape.clear_tape()" + "tape = get_working_tape()\n", + "tape.clear_tape()" ] } ], diff --git a/integration-tests/adjoints/test_diffusion.py b/integration-tests/adjoints/test_diffusion_sensitivity.py similarity index 100% rename from integration-tests/adjoints/test_diffusion.py rename to integration-tests/adjoints/test_diffusion_sensitivity.py diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5.py b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py similarity index 100% rename from integration-tests/adjoints/test_moist_thermal_williamson_5.py rename to integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py diff --git a/integration-tests/adjoints/test_shallow_water.py b/integration-tests/adjoints/test_shallow_water_sensitivity.py similarity index 100% rename from integration-tests/adjoints/test_shallow_water.py rename to integration-tests/adjoints/test_shallow_water_sensitivity.py From b0885041427b987ec5b50ba9c477b5694ae9d95b Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Wed, 18 Dec 2024 11:21:41 +0000 Subject: [PATCH 19/30] Remove adjoint examples; enhance the notebook text; fix the tests --- docs/notebook/shallow_water_adjoint.ipynb | 41 ++- examples/adjoint/diffusion.py | 54 ---- .../adjoint/moist_thermal_williamson_5.py | 248 ------------------ examples/adjoint/shallow_water.py | 66 ----- .../adjoints/test_diffusion_sensitivity.py | 6 +- ..._moist_thermal_williamson_5_sensitivity.py | 11 +- .../test_shallow_water_sensitivity.py | 20 +- 7 files changed, 45 insertions(+), 401 deletions(-) delete mode 100644 examples/adjoint/diffusion.py delete mode 100644 examples/adjoint/moist_thermal_williamson_5.py delete mode 100644 examples/adjoint/shallow_water.py diff --git a/docs/notebook/shallow_water_adjoint.ipynb b/docs/notebook/shallow_water_adjoint.ipynb index a004cc6fe..d0a8c0062 100644 --- a/docs/notebook/shallow_water_adjoint.ipynb +++ b/docs/notebook/shallow_water_adjoint.ipynb @@ -6,7 +6,7 @@ "source": [ "# Sensitivities computation via automated adjoint for a 2D shallow water model\n", "\n", - "This notebook demonstrates how to compute sensitivities (gradient) of a cost function with respect to control parameters using automated adjoints, which is a tool provided by the Firedrake library. The model used in this notebook is a 2D shallow water model on a sphere. \n", + "This notebook demonstrates how to compute the sensitivities (gradient) of a cost function with respect to control parameters using automated adjoints, a tool provided by the Firedrake library. The model used in this notebook is a shallow water model on a sphere. \n", "\n", "## Cost function and model\n", "The cost function measures the summation of the kinetic and the potential energy of the fluid, which is modelled by the following expression:\n", @@ -19,7 +19,7 @@ " \\textbf{u}_t + (\\textbf{u} \\cdot \\nabla) \\textbf{u} + f \\textbf{u}^{\\perp} + g \\nabla (D + b) &= 0, \\tag{2}\\\\\n", " D_t + \\nabla \\cdot (D \\textbf{u}) &= 0, \\tag{3}\n", "\\end{align}\n", - "where $f$ is the Coriolis parameter, the fluid depth is given by $D = H+h-b$, where $H$ is the mean fluid depth, $h$ is the free surface height and $b$ is the topography. No boundary conditions are required as in this case we are solving on a spherical domain, $\\Omega$." + "where $f$ is the Coriolis parameter, the fluid depth is given by $D = H+h-b$, $H$ is the mean fluid depth, $h$ is the free surface height and $b$ is the topography. No boundary conditions are required as we are solving on a spherical domain, $\\Omega$." ] }, { @@ -27,7 +27,7 @@ "metadata": {}, "source": [ "## Solve the model with Gusto\n", - "We first import the libraries required for the computations using Gusto, which is a library built on top of Firedrake." + "We first import the libraries required for the computations: ``gusto`` and ``firedrake``." ] }, { @@ -78,8 +78,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "A domain is created with Gusto ``Domain`` object, which holds the mesh and the function spaces defined on it.\n", - "The Domain object that is provided in this module contains the model’s mesh and the set of compatible function spaces defined upon it. It also holds the model’s time interval. " + "A domain is created with the ``Domain`` Gusto object, which holds the mesh and the function spaces defined on it. It also holds the model’s time interval." ] }, { @@ -96,7 +95,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can now set up the finite element form of the shallow water equations by passing ``ShallowWaterEquations`` Gusto class the following arguments: ``domain``, ``parameters``, the expressions ``fexpr`` for the Coriolis parameter and `bexpr` for the bottom surface of the fluid." + "We can now set up the finite element form of the shallow water equations by passing ``ShallowWaterEquations`` Gusto class the following arguments: ``domain``, ``parameters``, the expressions ``fexpr`` for the Coriolis parameter and ``bexpr`` for the bottom surface of the fluid." ] }, { @@ -126,9 +125,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We specify instructions regarding the output using the `OutputParameters` class. The directory name, `dirname`, must be specified. To prevent losing hard-earned simulation data, Gusto will not allow existing files to be overwritten. Hence, if one wishes to re-run a simulation with the same output filename, the existing results file needs to be moved or deleted first. This is also the place to specify the output frequency (in timesteps) of vtu files. The default is `dumpfreq=1` which outputs vtu files at every timestep (very useful when first setting up a problem!). Below we set `dumpfreq=5`.\n", + "We specify instructions regarding the output using the ``OutputParameters`` class. The directory name, ``dirname``, must be specified. To prevent losing hard-earned simulation data, Gusto will not allow existing files to be overwritten. Hence, if one wishes to re-run a simulation with the same output filename, the existing results file needs to be moved or deleted first. This is also the place to specify the output frequency (in timesteps) of VTU files. The default is ``dumpfreq=1``, which outputs VTU files at every timestep (very useful when first setting up a problem!). Below we set ``dumpfreq=5``.\n", "\n", - "We can specify which diagnostics to record over a simulation. The list of avaliable diagnostics can be found in the gusto source code: [diagnostics](https://github.com/firedrakeproject/gusto/blob/main/gusto/diagnostics/diagnostics.py). Since this flow should be in a steady state, it is also instructive to output the steady state error fields for both $\\textbf{u}$ and $D$ as this will tell us how close the simulation is to being correct. They will not be identically zero, due to numerical discretisation error, but the errors should not grow in time and they should reduce as the mesh and timestep are refined. We pass these diagnostics into the `IO` class, which controls the input and output and stores the fields which will be updated at each timestep." + "We can specify which diagnostics to record over a simulation. The list of available diagnostics in the gusto source code: [diagnostics](https://github.com/firedrakeproject/gusto/blob/main/gusto/diagnostics/diagnostics.py). Since this flow should be in a steady state, it is also instructive to output the steady state error fields for both $\\textbf{u}$ and $D$ as this will tell us how close the simulation is to be correct. The errors should not grow in time. They should reduce as the mesh and timestep are refined. We pass these diagnostics into the ``IO`` class, which controls the input and output and stores the fields which will be updated at each timestep." ] }, { @@ -137,8 +136,7 @@ "metadata": {}, "outputs": [], "source": [ - "tmpdir = 'outflow'\n", - "output = OutputParameters(dirname=str(tmpdir), log_courant=False)\n", + "output = OutputParameters(dirname=\"adjoint_sw\", log_courant=False)\n", "io = IO(domain, output)" ] }, @@ -146,12 +144,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We now start to build a setup for time discretization. We use here the ``SemiImplicitQuasiNewton`` approach, which splits the equation into\n", - "`transport` terms and 'forcing' terms (i.e. everything that's not transport) and solves each separately. This allows for different\n", - "time-steppers to be used for transporting the velocity and depth fields. We choose to use an Implicit Midpoint method for the velocity\n", - "and an explicit strong stability preserving RK3 (SSPRK3) method for the depth. Since the Courant number for a stable SSPRK3 scheme\n", - "is lower than that for the Implicit Midpoint method, we do 2 subcycles of the SSPRK3 scheme per timestep, allowing us to use a longer timestep\n", - "overall. A full list of avaliable time stepping methods can be found at: [time discretisation](https://github.com/firedrakeproject/gusto/blob/main/gusto/time_discretisation.py)." + "We now start to build a setup for time discretisation. We use the ``SemiImplicitQuasiNewton`` approach, which splits the equation into `transport` terms and 'forcing' terms (i.e. everything that does not transport) and solves each separately. That allows for different time-steppers used to transport the velocity and depth fields. We are employing an Implicit Midpoint method for the velocity and an explicit strong stability preserving RK3 (SSPRK3) method for the depth. Since the Courant number for a stable SSPRK3 scheme is lower than that for the Implicit Midpoint method, we do two subcycles of the SSPRK3 scheme per timestep, allowing us to use a longer timestep overall. The full list of time-stepping methods is available at the [time discretisation](https://github.com/firedrakeproject/gusto/blob/main/gusto/time_discretisation.py) python file." ] }, { @@ -223,7 +216,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "When using the `SemiImplicitQuasiNewton` timestepper, we also have to set up any non-zero reference profiles." + "When using the `SemiImplicitQuasiNewton` time ``stepper``, we also have to set up any non-zero reference profiles." ] }, { @@ -240,7 +233,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We are almost read to run the model. Before we do so, we have to tape the model in ordem to compute the sensititivities via automated adjoint. Hence, at this point we import ``firedrake.adjoint`` and enable the tape of the forward solver (Shallow Water model) with ``continue_annotation()``." + "We are almost ready to run the model. Before we do so, we have to tape the model to compute the sensitivities via automated adjoint. Hence, at this point, we import ``firedrake.adjoint`` and enable the tape of the forward solver (Shallow Water model) with ``continue_annotation()``." ] }, { @@ -645,7 +638,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We then compute the final solution of the shallow water solver that is used to compute the cost functional (1) as shown below." + "Next, the final solution of the shallow water solver is used to compute the cost functional (1) as shown in the following cell code." ] }, { @@ -664,7 +657,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We have to define the control variable: initial fluid depth $D_0$ and the velocity $\\textbf{u}_0$. Finally, we run the sensitivity computation: gradient of the cost function with respect $D_0$ and $\\textbf{u}_0$. The computation of the gradient is done with `compute_gradient` function from the `firedrake.adjoint` module." + "We define the control variable: initial fluid depth $D_0$ and the velocity $\\textbf{u}_0$. Finally, we run the sensitivity computation: gradient of the cost function with respect $D_0$ and $\\textbf{u}_0$. The gradient computation is achieved with the ``compute_gradient`` function from the `firedrake.adjoint` module." ] }, { @@ -681,7 +674,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can also verify the gradient computation with second order [Taylor's test](https://www.dolfin-adjoint.org/en/latest/documentation/verification.html). To do so, we define the reduced functional as follows:" + "You can execute a gradient verification with second order [Taylor's test](https://www.dolfinadjoint.org/en/latest/documentation/verification.html). To do so, we define the reduced functional as follows:" ] }, { @@ -697,7 +690,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We then verify the gradient computation using the ``taylor_test``. We already taped the forward model. Any additional operation as bellow, for the Taylor's test, does not require the tape to be enabled. Thus, we can stop annotating." + "We then verify the gradient computation using the ``taylor_test``. We already taped the forward model. Any additional operation as below, for Taylor's test, does not require the tape to be enabled. Thus, we can stop annotating." ] }, { @@ -730,14 +723,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That is great! we have a senitivity computation via automated adjoint with Gusto! In addition, we have verified the gradient computation with a second order Taylor's test, which is a good practice to ensure the correctness of the gradient computation. See the results above are close to the expected values, 2.0." + "That is great! We have a sensitivity computation via automated adjoint with Gusto! In addition, we have verified the gradient computation with a second-order Taylor's test, which is a good practice to ensure the correctness of the gradient computation. See the results above are close to the expected values, 2.0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For a notebook demosntration of adjoints, it is a good practice clear the tape. This is because if we do not clear the tape, the tape will keep growing every time we run the model." + "For a notebook demonstration of adjoints, it is good practice to clear the tape. This is because if we do not clear the tape, the tape will keep growing every time we run the model." ] }, { diff --git a/examples/adjoint/diffusion.py b/examples/adjoint/diffusion.py deleted file mode 100644 index fbae1b44f..000000000 --- a/examples/adjoint/diffusion.py +++ /dev/null @@ -1,54 +0,0 @@ -from firedrake import * -from firedrake.adjoint import * -from gusto import * -continue_annotation() - -n = 30 -mesh = PeriodicUnitSquareMesh(n, n) -output = OutputParameters(dirname="adjoint_diffusion") -dt = 0.01 -domain = Domain(mesh, 10*dt, family="BDM", degree=1) -io = IO(domain, output) - -V = VectorFunctionSpace(mesh, "CG", 2) -domain.spaces.add_space("vecCG", V) - -R = FunctionSpace(mesh, "R", 0) -# We need to define nu as a function in order to have a control variable. -nu = Function(R, val=0.0001) -diffusion_params = DiffusionParameters(kappa=nu) -eqn = DiffusionEquation(domain, V, "f", diffusion_parameters=diffusion_params) - -diffusion_scheme = BackwardEuler(domain) -diffusion_methods = [CGDiffusion(eqn, "f", diffusion_params)] -timestepper = Timestepper(eqn, diffusion_scheme, io, spatial_methods=diffusion_methods) - -x = SpatialCoordinate(mesh) -fexpr = as_vector((sin(2*pi*x[0]), cos(2*pi*x[1]))) -timestepper.fields("f").interpolate(fexpr) - -end = 0.1 -timestepper.run(0., end) - -u = timestepper.fields("f") -J = assemble(inner(u, u)*dx) - -# flag to switch between nu and u for control variable -nu_is_control = True -if nu_is_control: - my_control = Control(nu) - h = Function(R, val=0.0001) # the direction of the perturbation -else: - my_control = Control(u) - h = Function(V).interpolate(fexpr) # the direction of the perturbation - -# dJdnu = compute_gradient(J, my_control) - -Jhat = ReducedFunctional(J, my_control) # the functional as a pure function of nu - -if nu_is_control: - # The convergence rate should be around 2.0. - taylor_test(Jhat, nu, h) -else: - # The convergence rate should be around 2.0. - taylor_test(Jhat, u, h) diff --git a/examples/adjoint/moist_thermal_williamson_5.py b/examples/adjoint/moist_thermal_williamson_5.py deleted file mode 100644 index 504ef73e6..000000000 --- a/examples/adjoint/moist_thermal_williamson_5.py +++ /dev/null @@ -1,248 +0,0 @@ -""" -The moist thermal form of Test Case 5 (flow over a mountain) of Williamson et -al, 1992: -``A standard test set for numerical approximations to the shallow water -equations in spherical geometry'', JCP. - -The initial conditions are taken from Zerroukat & Allen, 2015: -``A moist Boussinesq shallow water equations set for testing atmospheric -models'', JCP. - -Three moist variables (vapour, cloud liquid and rain) are used. This set of -equations involves an active buoyancy field. - -The example here uses the icosahedral sphere mesh and degree 1 spaces. An -explicit RK4 timestepper is used. -""" - -from argparse import ArgumentParser, ArgumentDefaultsHelpFormatter -from firedrake import ( - SpatialCoordinate, as_vector, pi, sqrt, min_value, exp, cos, sin, assemble, dx, inner, Function -) -from firedrake.adjoint import * -from gusto import ( - Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, - ShallowWaterParameters, ShallowWaterEquations, lonlatr_from_xyz, - InstantRain, SWSaturationAdjustment, WaterVapour, - CloudWater, Rain, GeneralIcosahedralSphereMesh -) - -moist_thermal_williamson_5_defaults = { - 'ncells_per_edge': 8, # number of cells per icosahedron edge - 'dt': 600.0, # 5 minutes - 'tmax': 50.*24.*60.*60., # 50 days - 'dumpfreq': 2880, # once per 10 days with default options - 'dirname': 'moist_thermal_williamson_5' -} - - -def moist_thermal_williamson_5( - ncells_per_edge=moist_thermal_williamson_5_defaults['ncells_per_edge'], - dt=moist_thermal_williamson_5_defaults['dt'], - tmax=moist_thermal_williamson_5_defaults['tmax'], - dumpfreq=moist_thermal_williamson_5_defaults['dumpfreq'], - dirname=moist_thermal_williamson_5_defaults['dirname'] -): - - # ------------------------------------------------------------------------ # - # Parameters for test case - # ------------------------------------------------------------------------ # - - radius = 6371220. # planetary radius (m) - mean_depth = 5960 # reference depth (m) - g = 9.80616 # acceleration due to gravity (m/s^2) - u_max = 20. # max amplitude of the zonal wind (m/s) - epsilon = 1/300 # linear air expansion coeff (1/K) - theta_SP = -40*epsilon # value of theta at south pole (no units) - theta_EQ = 30*epsilon # value of theta at equator (no units) - theta_NP = -20*epsilon # value of theta at north pole (no units) - mu1 = 0.05 # scaling for theta with longitude (no units) - mu2 = 0.98 # proportion of qsat to make init qv (no units) - q0 = 135 # qsat scaling, gives init q_v of ~0.02, (kg/kg) - beta2 = 10*g # buoyancy-vaporisation factor (m/s^2) - nu = 20. # qsat factor in exponent (no units) - qprecip = 1e-4 # cloud to rain conversion threshold (kg/kg) - gamma_r = 1e-3 # rain-coalescence implicit factor - mountain_height = 2000. # height of mountain (m) - R0 = pi/9. # radius of mountain (rad) - lamda_c = -pi/2. # longitudinal centre of mountain (rad) - phi_c = pi/6. # latitudinal centre of mountain (rad) - - # ------------------------------------------------------------------------ # - # Our settings for this set up - # ------------------------------------------------------------------------ # - - element_order = 1 - u_eqn_type = 'vector_invariant_form' - - # ------------------------------------------------------------------------ # - # Set up model objects - # ------------------------------------------------------------------------ # - - # Domain - mesh = GeneralIcosahedralSphereMesh(radius, ncells_per_edge, degree=2) - domain = Domain(mesh, dt, "BDM", element_order) - x, y, z = SpatialCoordinate(mesh) - lamda, phi, _ = lonlatr_from_xyz(x, y, z) - - # Equation: coriolis - parameters = ShallowWaterParameters(H=mean_depth, g=g) - Omega = parameters.Omega - fexpr = 2*Omega*z/radius - - # Equation: topography - rsq = min_value(R0**2, (lamda - lamda_c)**2 + (phi - phi_c)**2) - r = sqrt(rsq) - tpexpr = mountain_height * (1 - r/R0) - - # Equation: moisture - tracers = [ - WaterVapour(space='DG'), CloudWater(space='DG'), Rain(space='DG') - ] - eqns = ShallowWaterEquations( - domain, parameters, fexpr=fexpr, bexpr=tpexpr, thermal=True, - active_tracers=tracers, u_transport_option=u_eqn_type - ) - - # I/O - output = OutputParameters( - dirname=dirname, dumplist_latlon=['D'], dumpfreq=dumpfreq, - dump_vtus=True, dump_nc=False, log_courant=False, - dumplist=['D', 'b', 'water_vapour', 'cloud_water'] - ) - io = IO(domain, output) - - # Physics ------------------------------------------------------------------ - # Saturation function -- first define simple expression - def q_sat(b, D): - return (q0/(g*D + g*tpexpr)) * exp(nu*(1 - b/g)) - - # Function to pass to physics (takes mixed function as argument) - def phys_sat_func(x_in): - D = x_in.split()[1] - b = x_in.split()[2] - return q_sat(b, D) - - # Feedback proportionality is dependent on D and b - def gamma_v(x_in): - D = x_in.split()[1] - b = x_in.split()[2] - return 1.0 / (1.0 + nu*beta2/g*q_sat(b, D)) - - SWSaturationAdjustment( - eqns, phys_sat_func, time_varying_saturation=True, - parameters=parameters, thermal_feedback=True, - beta2=beta2, gamma_v=gamma_v, time_varying_gamma_v=True - ) - - InstantRain( - eqns, qprecip, vapour_name="cloud_water", rain_name="rain", - gamma_r=gamma_r - ) - - transport_methods = [ - DGUpwind(eqns, field_name) for field_name in eqns.field_names - ] - - # Timestepper - stepper = Timestepper( - eqns, RK4(domain), io, spatial_methods=transport_methods - ) - - # ------------------------------------------------------------------------ # - # Initial conditions - # ------------------------------------------------------------------------ # - - u0 = stepper.fields("u") - D0 = stepper.fields("D") - b0 = stepper.fields("b") - v0 = stepper.fields("water_vapour") - c0 = stepper.fields("cloud_water") - r0 = stepper.fields("rain") - - uexpr = as_vector([-u_max*y/radius, u_max*x/radius, 0.0]) - - Dexpr = ( - mean_depth - tpexpr - - (radius * Omega * u_max + 0.5*u_max**2)*(z/radius)**2/g - ) - - # Expression for initial buoyancy - note the bracket around 1-mu - theta_expr = ( - 2/(pi**2) * ( - phi*(phi - pi/2)*theta_SP - - 2*(phi + pi/2) * (phi - pi/2)*(1 - mu1)*theta_EQ - + phi*(phi + pi/2)*theta_NP - ) - + mu1*theta_EQ*cos(phi)*sin(lamda) - ) - bexpr = g * (1 - theta_expr) - - # Expression for initial vapour depends on initial saturation - vexpr = mu2 * q_sat(bexpr, Dexpr) - - # Initialise (cloud and rain initially zero) - u0.project(uexpr) - D0.interpolate(Dexpr) - b0.interpolate(bexpr) - v0.interpolate(vexpr) - c0.assign(0.0) - r0.assign(0.0) - - # ----------------------------------------------------------------- # - # Run - # ----------------------------------------------------------------- # - - continue_annotation() - stepper.run(t=0, tmax=dt) - - J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) - - Jhat = ReducedFunctional(J, Control(D0)) - # The convergence rate should be around 2.0. - taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) - -# ---------------------------------------------------------------------------- # -# MAIN -# ---------------------------------------------------------------------------- # - - -if __name__ == "__main__": - - parser = ArgumentParser( - description=__doc__, - formatter_class=ArgumentDefaultsHelpFormatter - ) - parser.add_argument( - '--ncells_per_edge', - help="The number of cells per edge of icosahedron", - type=int, - default=moist_thermal_williamson_5_defaults['ncells_per_edge'] - ) - parser.add_argument( - '--dt', - help="The time step in seconds.", - type=float, - default=moist_thermal_williamson_5_defaults['dt'] - ) - parser.add_argument( - "--tmax", - help="The end time for the simulation in seconds.", - type=float, - default=moist_thermal_williamson_5_defaults['tmax'] - ) - parser.add_argument( - '--dumpfreq', - help="The frequency at which to dump field output.", - type=int, - default=moist_thermal_williamson_5_defaults['dumpfreq'] - ) - parser.add_argument( - '--dirname', - help="The name of the directory to write to.", - type=str, - default=moist_thermal_williamson_5_defaults['dirname'] - ) - args, unknown = parser.parse_known_args() - - moist_thermal_williamson_5(**vars(args)) diff --git a/examples/adjoint/shallow_water.py b/examples/adjoint/shallow_water.py deleted file mode 100644 index 96fbb6387..000000000 --- a/examples/adjoint/shallow_water.py +++ /dev/null @@ -1,66 +0,0 @@ -from firedrake import * -from firedrake.adjoint import * -from gusto import * -continue_annotation() - -# setup shallow water parameters -R = 6371220. -H = 5960. -dt = 900. - -# Domain -mesh = IcosahedralSphereMesh(radius=R, - refinement_level=3, degree=2) -x = SpatialCoordinate(mesh) -domain = Domain(mesh, dt, 'BDM', 1) -parameters = ShallowWaterParameters(H=H) - -# Equation -Omega = parameters.Omega -fexpr = 2*Omega*x[2]/R -lamda, theta, _ = lonlatr_from_xyz(x[0], x[1], x[2]) -R0 = pi/9. -R0sq = R0**2 -lamda_c = -pi/2. -lsq = (lamda - lamda_c)**2 -theta_c = pi/6. -thsq = (theta - theta_c)**2 -rsq = min_value(R0sq, lsq+thsq) -r = sqrt(rsq) -bexpr = 2000 * (1 - r/R0) -eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) - -# I/O -output = OutputParameters(dirname="adjoint_sw", log_courant=False) -io = IO(domain, output) - -# Transport schemes -transported_fields = [TrapeziumRule(domain, "u"), SSPRK3(domain, "D")] -transport_methods = [DGUpwind(eqn, "u"), DGUpwind(eqn, "D")] - -# Time stepper -stepper = SemiImplicitQuasiNewton( - eqn, io, transported_fields, transport_methods -) - -u0 = stepper.fields('u') -D0 = stepper.fields('D') -u_max = 20. # Maximum amplitude of the zonal wind (m/s) -uexpr = as_vector([-u_max*x[1]/R, u_max*x[0]/R, 0.0]) -g = parameters.g -Rsq = R**2 -Dexpr = H - ((R * Omega * u_max + 0.5*u_max**2)*x[2]**2/Rsq)/g - bexpr - -u0.project(uexpr) -D0.interpolate(Dexpr) - -Dbar = Function(D0.function_space()).assign(H) -stepper.set_reference_profiles([('D', Dbar)]) - -stepper.run(0., 10*dt) - -J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) - -Jhat = ReducedFunctional(J, Control(D0)) -# The convergence rate should be around 2.0. -taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) diff --git a/integration-tests/adjoints/test_diffusion_sensitivity.py b/integration-tests/adjoints/test_diffusion_sensitivity.py index ae1d91d1a..d90b3fadb 100644 --- a/integration-tests/adjoints/test_diffusion_sensitivity.py +++ b/integration-tests/adjoints/test_diffusion_sensitivity.py @@ -64,9 +64,11 @@ def test_diffusion_sensitivity(nu_is_control, tmpdir): h = Function(R, val=0.0001) # the direction of the perturbation else: control = Control(u) - h = Function(V).interpolate(fexpr) # the direction of the perturbation + # the direction of the perturbation + h = Function(V).interpolate(fexpr * np.random.rand()) - Jhat = ReducedFunctional(J, control) # the functional as a pure function of nu + # the functional as a pure function of nu + Jhat = ReducedFunctional(J, control) if nu_is_control: assert np.allclose(J, Jhat(nu)) diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py index eaa2484a1..ce7fead10 100644 --- a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py @@ -203,10 +203,17 @@ def gamma_v(x_in): # ----------------------------------------------------------------- # stepper.run(t=0, tmax=dt) - J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) + u_tf = stepper.fields('u') # Final velocity field + D_tf = stepper.fields('D') # Final depth field + + J = assemble(0.5*inner(u_tf, u_tf)*dx + 0.5*g*D_tf**2*dx) Jhat = ReducedFunctional(J, Control(D0)) assert np.allclose(Jhat(D0), J) + with stop_annotating(): + # Stop annotation to perform the Taylor test + h0 = Function(D0.function_space()) + h0.assign(D0 * np.random.rand()) + assert taylor_test(Jhat, D0, h0) > 1.95 - assert taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) > 1.95 diff --git a/integration-tests/adjoints/test_shallow_water_sensitivity.py b/integration-tests/adjoints/test_shallow_water_sensitivity.py index 7db354e5b..2646493b5 100644 --- a/integration-tests/adjoints/test_shallow_water_sensitivity.py +++ b/integration-tests/adjoints/test_shallow_water_sensitivity.py @@ -83,9 +83,19 @@ def test_shallow_water(tmpdir): stepper.run(0., 5*dt) - J = assemble(0.5*inner(u0, u0)*dx + 0.5*g*D0**2*dx) + u_tf = stepper.fields('u') # Final velocity field + D_tf = stepper.fields('D') # Final depth field + + J = assemble(0.5*inner(u_tf, u_tf)*dx + 0.5*g*D_tf**2*dx) + + control = [Control(D0), Control(u0)] # Control variables + J_hat = ReducedFunctional(J, control) + assert np.isclose(J_hat([D0, u0]), J, rtol=1e-10) + with stop_annotating(): + # Stop annotation to perform the Taylor test + h0 = Function(D0.function_space()) + h1 = Function(u0.function_space()) + h0.assign(D0 * np.random.rand()) + h1.assign(u0 * np.random.rand()) + assert taylor_test(J_hat, [D0, u0], [h0, h1]) > 1.95 - Jhat = ReducedFunctional(J, Control(D0)) - - assert np.isclose(Jhat(D0), J, rtol=1e-10) - assert taylor_test(Jhat, D0, Function(D0.function_space()).interpolate(Dexpr)) > 1.95 From 7680ebcd6e5822256e87766089019a4f8d293329 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Wed, 18 Dec 2024 11:24:19 +0000 Subject: [PATCH 20/30] flake8 --- .../adjoints/test_moist_thermal_williamson_5_sensitivity.py | 1 - integration-tests/adjoints/test_shallow_water_sensitivity.py | 3 +-- 2 files changed, 1 insertion(+), 3 deletions(-) diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py index ce7fead10..afee7cce9 100644 --- a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py @@ -216,4 +216,3 @@ def gamma_v(x_in): h0 = Function(D0.function_space()) h0.assign(D0 * np.random.rand()) assert taylor_test(Jhat, D0, h0) > 1.95 - diff --git a/integration-tests/adjoints/test_shallow_water_sensitivity.py b/integration-tests/adjoints/test_shallow_water_sensitivity.py index 2646493b5..30d33b942 100644 --- a/integration-tests/adjoints/test_shallow_water_sensitivity.py +++ b/integration-tests/adjoints/test_shallow_water_sensitivity.py @@ -88,7 +88,7 @@ def test_shallow_water(tmpdir): J = assemble(0.5*inner(u_tf, u_tf)*dx + 0.5*g*D_tf**2*dx) - control = [Control(D0), Control(u0)] # Control variables + control = [Control(D0), Control(u0)] # Control variables J_hat = ReducedFunctional(J, control) assert np.isclose(J_hat([D0, u0]), J, rtol=1e-10) with stop_annotating(): @@ -98,4 +98,3 @@ def test_shallow_water(tmpdir): h0.assign(D0 * np.random.rand()) h1.assign(u0 * np.random.rand()) assert taylor_test(J_hat, [D0, u0], [h0, h1]) > 1.95 - From c6eb3b28334b3b99bde1e219295de7d5f88c2603 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Wed, 18 Dec 2024 12:22:52 +0000 Subject: [PATCH 21/30] Match with the main branch --- .../adjoints/test_moist_thermal_williamson_5_sensitivity.py | 6 +++--- .../adjoints/test_shallow_water_sensitivity.py | 2 +- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py index afee7cce9..6936ec9c8 100644 --- a/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5_sensitivity.py @@ -24,7 +24,7 @@ from pyadjoint import get_working_tape from gusto import ( Domain, IO, OutputParameters, Timestepper, RK4, DGUpwind, - ShallowWaterParameters, ShallowWaterEquations, lonlatr_from_xyz, + ShallowWaterParameters, ThermalShallowWaterEquations, lonlatr_from_xyz, InstantRain, SWSaturationAdjustment, WaterVapour, CloudWater, Rain, GeneralIcosahedralSphereMesh ) @@ -108,8 +108,8 @@ def test_moist_thermal_williamson_5_sensitivity( tracers = [ WaterVapour(space='DG'), CloudWater(space='DG'), Rain(space='DG') ] - eqns = ShallowWaterEquations( - domain, parameters, fexpr=fexpr, bexpr=tpexpr, thermal=True, + eqns = ThermalShallowWaterEquations( + domain, parameters, fexpr=fexpr, topog_expr=tpexpr, active_tracers=tracers, u_transport_option=u_eqn_type ) diff --git a/integration-tests/adjoints/test_shallow_water_sensitivity.py b/integration-tests/adjoints/test_shallow_water_sensitivity.py index 30d33b942..fe2927707 100644 --- a/integration-tests/adjoints/test_shallow_water_sensitivity.py +++ b/integration-tests/adjoints/test_shallow_water_sensitivity.py @@ -52,7 +52,7 @@ def test_shallow_water(tmpdir): rsq = min_value(R0sq, lsq+thsq) r = sqrt(rsq) bexpr = 2000 * (1 - r/R0) - eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, bexpr=bexpr) + eqn = ShallowWaterEquations(domain, parameters, fexpr=fexpr, topog_expr=bexpr) # I/O output = OutputParameters(dirname=str(tmpdir), log_courant=False) From 719a1944510632baad1fd2e25274da3f058215dd Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Thu, 19 Dec 2024 09:29:45 +0000 Subject: [PATCH 22/30] wip --- gusto/equations/boussinesq_equations.py | 4 ++- .../equations/compressible_euler_equations.py | 22 ++++++++++------ gusto/equations/shallow_water_equations.py | 26 +++++++++++++------ gusto/equations/thermodynamics.py | 3 ++- 4 files changed, 37 insertions(+), 18 deletions(-) diff --git a/gusto/equations/boussinesq_equations.py b/gusto/equations/boussinesq_equations.py index b9823f110..154d7e5e0 100644 --- a/gusto/equations/boussinesq_equations.py +++ b/gusto/equations/boussinesq_equations.py @@ -1,6 +1,7 @@ """Defines the Boussinesq equations.""" -from firedrake import inner, dx, div, cross, split, as_vector +from firedrake import( + inner, dx, div, cross, split, as_vector, Function, FunctionSapce) from firedrake.fml import subject from gusto.core.labels import ( time_derivative, transport, prognostic, linearisation, @@ -105,6 +106,7 @@ def __init__(self, domain, parameters, active_tracers=active_tracers) self.parameters = parameters + self.real_space = FunctionSapce(domain.mesh, 'R', 0) self.compressible = compressible w, phi, gamma = self.tests[0:3] diff --git a/gusto/equations/compressible_euler_equations.py b/gusto/equations/compressible_euler_equations.py index 73bc76d45..44efcceaf 100644 --- a/gusto/equations/compressible_euler_equations.py +++ b/gusto/equations/compressible_euler_equations.py @@ -2,7 +2,7 @@ from firedrake import ( sin, pi, inner, dx, div, cross, FunctionSpace, FacetNormal, jump, avg, dS_v, - conditional, SpatialCoordinate, split, Constant, as_vector + conditional, SpatialCoordinate, split, Constant, as_vector, Function ) from firedrake.fml import subject, replace_subject from gusto.core.labels import ( @@ -45,7 +45,7 @@ def __init__(self, domain, parameters, sponge_options=None, Args: domain (:class:`Domain`): the model's domain object, containing the mesh and the compatible function spaces. - parameters (:class:`Configuration`, optional): an object containing + x (:class:`Configuration`, optional): an object containing the model's physical parameters. sponge_options (:class:`SpongeLayerParameters`, optional): any parameters for applying a sponge layer to the upper boundary. @@ -101,6 +101,7 @@ def __init__(self, domain, parameters, sponge_options=None, active_tracers=active_tracers) self.parameters = parameters + self._convert_parameters_to_real_space(domain) g = parameters.g cp = parameters.cp @@ -109,6 +110,7 @@ def __init__(self, domain, parameters, sponge_options=None, u_trial = split(self.trials)[0] _, rho_bar, theta_bar = split(self.X_ref)[0:3] zero_expr = Constant(0.0)*theta + # Check this for adjoints exner = exner_pressure(parameters, rho, theta) n = FacetNormal(domain.mesh) @@ -185,12 +187,12 @@ def __init__(self, domain, parameters, sponge_options=None, # Moist Thermodynamic Divergence Term # -------------------------------------------------------------------- # if len(active_tracers) > 0: - cv = parameters.cv - c_vv = parameters.c_vv - c_pv = parameters.c_pv - c_pl = parameters.c_pl - R_d = parameters.R_d - R_v = parameters.R_v + cv = Function(real_space, val=float(parameters.cv)) + c_vv = Function(real_space, val=float(parameters.c_vv)) + c_pv = Function(real_space, val=float(parameters.c_pv)) + c_pl = Function(real_space, val=float(parameters.c_pl)) + R_d = Function(real_space, val=float(parameters.R_d)) + R_v = Function(real_space, val=float(parameters.R_v)) # Get gas and liquid moisture mixing ratios mr_l = zero_expr @@ -264,6 +266,10 @@ def __init__(self, domain, parameters, sponge_options=None, # Add linearisations to equations self.residual = self.generate_linear_terms(residual, self.linearisation_map) + def _convert_parameters_to_real_space(self, domain): + real_space = FunctionSpace(domain.mesh, 'R', 0) + self.parameters.g = Function(real_space, val=float(self.parameters.g)) + self.parameters.cp = Function(real_space, val=float(self.parameters.cp)) class HydrostaticCompressibleEulerEquations(CompressibleEulerEquations): """ diff --git a/gusto/equations/shallow_water_equations.py b/gusto/equations/shallow_water_equations.py index fd61cedf7..597041429 100644 --- a/gusto/equations/shallow_water_equations.py +++ b/gusto/equations/shallow_water_equations.py @@ -1,7 +1,7 @@ """Classes for defining variants of the shallow-water equations.""" from firedrake import (inner, dx, div, FunctionSpace, FacetNormal, jump, avg, - dS, split, conditional, exp) + dS, split, conditional, exp, Function) from firedrake.fml import subject, drop from gusto.core.labels import (time_derivative, transport, prognostic, linearisation, pressure_gradient, coriolis) @@ -88,6 +88,11 @@ def __init__(self, domain, parameters, fexpr=None, topog_expr=None, self.parameters = parameters self.domain = domain self.active_tracers = active_tracers + # Define the Real function space. This function space will be used + # to define the ``self.parameters`` attributes. Such API is considering + # the cases where the user computes adjoint-based sensitivity with the + # control parameters being the ``self.parameters`` attributes. + self.real_space = FunctionSpace(self.domain.mesh, 'R', 0) self._setup_residual(fexpr, topog_expr, u_transport_option) @@ -417,7 +422,11 @@ def _setup_residual(self, fexpr, topog_expr, u_transport_option): # label these as the equivalent pressure gradient term and # provide linearisation if self.equivalent_buoyancy: - beta2 = self.parameters.beta2 + try: + beta2 = Function(self.real_space, val=float(self.parameters.beta2)) + except ValueError: + print("Oi") + qsat_expr = self.compute_saturation(self.X) qv = conditional(qt < qsat_expr, qt, qsat_expr) qvbar = conditional(qtbar < qsat_expr, qtbar, qsat_expr) @@ -507,10 +516,10 @@ def compute_saturation(self, X): # parameters specified in self.parameters and the input # functions X. The latter are left as inputs to the # function so that it can also be used for initialisation - q0 = self.parameters.q0 - nu = self.parameters.nu - g = self.parameters.g - H = self.parameters.H + q0 = Function(self.real_space, val=self.parameters.q0) + nu = Function(self.real_space, val=self.parameters.nu) + g = Function(self.real_space, val=self.parameters.g) + H = Function(self.real_space, val=self.parameters.H) D, b = split(X)[1:3] topog = self.topog if topog is None: @@ -647,8 +656,9 @@ def __init__(self, domain, parameters, active_tracers=active_tracers) self.parameters = parameters - g = parameters.g - H = parameters.H + self.real_space = FunctionSpace(domain.mesh, 'R', 0) + g = Function(self.real_space, val=parameters.g) + H = Function(self.real_space, val=parameters.H) w1, w2, phi = self.tests u, v, D = split(self.X) diff --git a/gusto/equations/thermodynamics.py b/gusto/equations/thermodynamics.py index e585d4c1b..9e0238f93 100644 --- a/gusto/equations/thermodynamics.py +++ b/gusto/equations/thermodynamics.py @@ -18,7 +18,8 @@ def theta(parameters, T, p): p (:class:`ufl.Expr`): pressure in Pa. """ - kappa = parameters.kappa + kappa = Function() + parameters.kappa p_0 = parameters.p_0 return T * (p_0 / p) ** kappa From 542d33e4daabba0bb52fa7d60d5c88834bd20136 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Thu, 19 Dec 2024 11:02:37 +0000 Subject: [PATCH 23/30] Add convert_parameters_to_real_space function --- gusto/core/configuration.py | 43 +++++++++++++++---- gusto/equations/boussinesq_equations.py | 9 ++-- .../equations/compressible_euler_equations.py | 25 ++++++----- gusto/equations/shallow_water_equations.py | 32 ++++++++------ gusto/equations/thermodynamics.py | 3 +- 5 files changed, 72 insertions(+), 40 deletions(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index 3ec91dbcd..a42bd04d3 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -1,7 +1,7 @@ """Some simple tools for configuring the model.""" from abc import ABCMeta, abstractproperty from enum import Enum -from firedrake import sqrt +from firedrake import sqrt, Constant, Function, FunctionSpace __all__ = [ @@ -12,7 +12,7 @@ "EmbeddedDGOptions", "ConservativeEmbeddedDGOptions", "RecoveryOptions", "ConservativeRecoveryOptions", "SUPGOptions", "MixedFSOptions", "SpongeLayerParameters", "DiffusionParameters", "BoundaryLayerParameters", - "SubcyclingOptions" + "SubcyclingOptions", "convert_parameters_to_real_space" ] @@ -79,12 +79,12 @@ def __setattr__(self, name, value): # Almost all parameters should be Constants -- but there are some # specific exceptions which should be kept as integers - if type(value) in [float, int] and name not in ['dumpfreq', 'pddumpfreq', 'chkptfreq']: - object.__setattr__(self, name, value) - # DO NOT MERGE - # Adjoint is a bit twitchy with Constants so let's not make them - # for now - # object.__setattr__(self, name, Constant(value)) + non_constants = [ + 'dumpfreq', 'pddumpfreq', 'chkptfreq', + 'fixed_subcycles', 'max_subcycles', 'subcycle_by_courant' + ] + if type(value) in [float, int] and name not in non_constants: + object.__setattr__(self, name, Constant(value)) else: object.__setattr__(self, name, value) @@ -269,6 +269,19 @@ class BoundaryLayerParameters(Configuration): mu = 100. # Interior penalty coefficient for vertical diffusion +class HeldSuarezParameters(Configuration): + """ + Parameters used in the default configuration for the Held Suarez test case. + """ + T0stra = 200 # Stratosphere temp + T0surf = 315 # Surface temperature at equator + T0horiz = 60 # Equator to pole temperature difference + T0vert = 10 # Stability parameter + sigmab = 0.7 # Height of the boundary layer + tau_d = 40 * 24 * 60 * 60 # 40 day time scale + tau_u = 4 * 24 * 60 * 60 # 4 day timescale + + class SubcyclingOptions(Configuration): """ Describes the process of subcycling a time discretisation, by dividing the @@ -295,3 +308,17 @@ def check_options(self): raise ValueError( "Cannot provide both fixed_subcycles and subcycle_by_courant" + "parameters.") + + +def convert_parameters_to_real_space(parameters, mesh): + """Convert the float type parameters attributes to real space. + + Args: + parameters (:class:`Configuration`): the configuration object containing + the parameters to convert + mesh (:class:`firedrake.Mesh`): the mesh object to use for the real space. + """ + R = FunctionSpace(mesh, 'R', 0) + for name, value in vars(parameters).items(): + if isinstance(value, (float, Constant)): + setattr(parameters, name, Function(R, val=float(value))) diff --git a/gusto/equations/boussinesq_equations.py b/gusto/equations/boussinesq_equations.py index 154d7e5e0..5f2f620ba 100644 --- a/gusto/equations/boussinesq_equations.py +++ b/gusto/equations/boussinesq_equations.py @@ -1,12 +1,12 @@ """Defines the Boussinesq equations.""" -from firedrake import( - inner, dx, div, cross, split, as_vector, Function, FunctionSapce) +from firedrake import inner, dx, div, cross, split, as_vector from firedrake.fml import subject from gusto.core.labels import ( time_derivative, transport, prognostic, linearisation, pressure_gradient, coriolis, divergence, gravity, incompressible ) +from gusto.core.configuration import convert_parameters_to_real_space from gusto.equations.common_forms import ( advection_form, vector_invariant_form, kinetic_energy_form, advection_equation_circulation_form, @@ -106,7 +106,10 @@ def __init__(self, domain, parameters, active_tracers=active_tracers) self.parameters = parameters - self.real_space = FunctionSapce(domain.mesh, 'R', 0) + # This function converts the parameters to real space. + # This is a preventive way to avoid adjoint issues when the parameters + # attribute are the control in the sensitivity computations. + convert_parameters_to_real_space(parameters, domain.mesh) self.compressible = compressible w, phi, gamma = self.tests[0:3] diff --git a/gusto/equations/compressible_euler_equations.py b/gusto/equations/compressible_euler_equations.py index 44efcceaf..0dbe8a01d 100644 --- a/gusto/equations/compressible_euler_equations.py +++ b/gusto/equations/compressible_euler_equations.py @@ -2,7 +2,7 @@ from firedrake import ( sin, pi, inner, dx, div, cross, FunctionSpace, FacetNormal, jump, avg, dS_v, - conditional, SpatialCoordinate, split, Constant, as_vector, Function + conditional, SpatialCoordinate, split, Constant, as_vector ) from firedrake.fml import subject, replace_subject from gusto.core.labels import ( @@ -17,7 +17,7 @@ ) from gusto.equations.active_tracers import Phases, TracerVariableType from gusto.equations.prognostic_equations import PrognosticEquationSet - +from gusto.core.configuration import convert_parameters_to_real_space __all__ = ["CompressibleEulerEquations", "HydrostaticCompressibleEulerEquations"] @@ -101,7 +101,10 @@ def __init__(self, domain, parameters, sponge_options=None, active_tracers=active_tracers) self.parameters = parameters - self._convert_parameters_to_real_space(domain) + # This function converts the parameters to real space. + # This is a preventive way to avoid adjoint issues when the parameters + # attribute are the control in the sensitivity computations. + convert_parameters_to_real_space(parameters, domain.mesh) g = parameters.g cp = parameters.cp @@ -187,12 +190,12 @@ def __init__(self, domain, parameters, sponge_options=None, # Moist Thermodynamic Divergence Term # -------------------------------------------------------------------- # if len(active_tracers) > 0: - cv = Function(real_space, val=float(parameters.cv)) - c_vv = Function(real_space, val=float(parameters.c_vv)) - c_pv = Function(real_space, val=float(parameters.c_pv)) - c_pl = Function(real_space, val=float(parameters.c_pl)) - R_d = Function(real_space, val=float(parameters.R_d)) - R_v = Function(real_space, val=float(parameters.R_v)) + cv = parameters.cv + c_vv = parameters.c_vv + c_pv = parameters.c_pv + c_pl = parameters.c_pl + R_d = parameters.R_d + R_v = parameters.R_v # Get gas and liquid moisture mixing ratios mr_l = zero_expr @@ -266,10 +269,6 @@ def __init__(self, domain, parameters, sponge_options=None, # Add linearisations to equations self.residual = self.generate_linear_terms(residual, self.linearisation_map) - def _convert_parameters_to_real_space(self, domain): - real_space = FunctionSpace(domain.mesh, 'R', 0) - self.parameters.g = Function(real_space, val=float(self.parameters.g)) - self.parameters.cp = Function(real_space, val=float(self.parameters.cp)) class HydrostaticCompressibleEulerEquations(CompressibleEulerEquations): """ diff --git a/gusto/equations/shallow_water_equations.py b/gusto/equations/shallow_water_equations.py index 597041429..3eabc781e 100644 --- a/gusto/equations/shallow_water_equations.py +++ b/gusto/equations/shallow_water_equations.py @@ -1,7 +1,7 @@ """Classes for defining variants of the shallow-water equations.""" from firedrake import (inner, dx, div, FunctionSpace, FacetNormal, jump, avg, - dS, split, conditional, exp, Function) + dS, split, conditional, exp) from firedrake.fml import subject, drop from gusto.core.labels import (time_derivative, transport, prognostic, linearisation, pressure_gradient, coriolis) @@ -12,6 +12,7 @@ linear_continuity_form, linear_advection_form ) from gusto.equations.prognostic_equations import PrognosticEquationSet +from gusto.core.configuration import convert_parameters_to_real_space __all__ = ["ShallowWaterEquations", "LinearShallowWaterEquations", @@ -87,12 +88,12 @@ def __init__(self, domain, parameters, fexpr=None, topog_expr=None, self.parameters = parameters self.domain = domain + # This function converts the ``float`` and ``firedrake.Constant`` parameters + # attributes to a function in real space. + # This is a preventive way to avoid adjoint issues when the parameters + # attribute are the control in the sensitivity computations. + convert_parameters_to_real_space(parameters, self.domain.mesh) self.active_tracers = active_tracers - # Define the Real function space. This function space will be used - # to define the ``self.parameters`` attributes. Such API is considering - # the cases where the user computes adjoint-based sensitivity with the - # control parameters being the ``self.parameters`` attributes. - self.real_space = FunctionSpace(self.domain.mesh, 'R', 0) self._setup_residual(fexpr, topog_expr, u_transport_option) @@ -423,7 +424,7 @@ def _setup_residual(self, fexpr, topog_expr, u_transport_option): # provide linearisation if self.equivalent_buoyancy: try: - beta2 = Function(self.real_space, val=float(self.parameters.beta2)) + beta2 = self.parameters.beta2 except ValueError: print("Oi") @@ -516,10 +517,10 @@ def compute_saturation(self, X): # parameters specified in self.parameters and the input # functions X. The latter are left as inputs to the # function so that it can also be used for initialisation - q0 = Function(self.real_space, val=self.parameters.q0) - nu = Function(self.real_space, val=self.parameters.nu) - g = Function(self.real_space, val=self.parameters.g) - H = Function(self.real_space, val=self.parameters.H) + q0 = self.parameters.q0 + nu = self.parameters.nu + g = self.parameters.g + H = self.parameters.H D, b = split(X)[1:3] topog = self.topog if topog is None: @@ -656,9 +657,12 @@ def __init__(self, domain, parameters, active_tracers=active_tracers) self.parameters = parameters - self.real_space = FunctionSpace(domain.mesh, 'R', 0) - g = Function(self.real_space, val=parameters.g) - H = Function(self.real_space, val=parameters.H) + # This function converts the parameters to real space. + # This is a preventive way to avoid adjoint issues when the parameters + # attribute are the control in the sensitivity computations. + convert_parameters_to_real_space(parameters, domain.mesh) + g = parameters.g + H = parameters.H w1, w2, phi = self.tests u, v, D = split(self.X) diff --git a/gusto/equations/thermodynamics.py b/gusto/equations/thermodynamics.py index 9e0238f93..e585d4c1b 100644 --- a/gusto/equations/thermodynamics.py +++ b/gusto/equations/thermodynamics.py @@ -18,8 +18,7 @@ def theta(parameters, T, p): p (:class:`ufl.Expr`): pressure in Pa. """ - kappa = Function() - parameters.kappa + kappa = parameters.kappa p_0 = parameters.p_0 return T * (p_0 / p) ** kappa From efc7e99a18ebb1f96ff958bebb489a6720191f25 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Thu, 19 Dec 2024 11:35:30 +0000 Subject: [PATCH 24/30] wip --- gusto/core/configuration.py | 21 ++------------------- 1 file changed, 2 insertions(+), 19 deletions(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index a42bd04d3..312fe35fc 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -79,11 +79,7 @@ def __setattr__(self, name, value): # Almost all parameters should be Constants -- but there are some # specific exceptions which should be kept as integers - non_constants = [ - 'dumpfreq', 'pddumpfreq', 'chkptfreq', - 'fixed_subcycles', 'max_subcycles', 'subcycle_by_courant' - ] - if type(value) in [float, int] and name not in non_constants: + if type(value) in [float, int] and name not in ['dumpfreq', 'pddumpfreq', 'chkptfreq']: object.__setattr__(self, name, Constant(value)) else: object.__setattr__(self, name, value) @@ -269,19 +265,6 @@ class BoundaryLayerParameters(Configuration): mu = 100. # Interior penalty coefficient for vertical diffusion -class HeldSuarezParameters(Configuration): - """ - Parameters used in the default configuration for the Held Suarez test case. - """ - T0stra = 200 # Stratosphere temp - T0surf = 315 # Surface temperature at equator - T0horiz = 60 # Equator to pole temperature difference - T0vert = 10 # Stability parameter - sigmab = 0.7 # Height of the boundary layer - tau_d = 40 * 24 * 60 * 60 # 40 day time scale - tau_u = 4 * 24 * 60 * 60 # 4 day timescale - - class SubcyclingOptions(Configuration): """ Describes the process of subcycling a time discretisation, by dividing the @@ -321,4 +304,4 @@ def convert_parameters_to_real_space(parameters, mesh): R = FunctionSpace(mesh, 'R', 0) for name, value in vars(parameters).items(): if isinstance(value, (float, Constant)): - setattr(parameters, name, Function(R, val=float(value))) + setattr(parameters, name, Function(R, val=float(value))) \ No newline at end of file From f89173af9d1540dd282bb0a62a9b81fe9afa6655 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Thu, 19 Dec 2024 11:36:34 +0000 Subject: [PATCH 25/30] flake8 --- gusto/core/configuration.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index 312fe35fc..9adcf31fa 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -304,4 +304,4 @@ def convert_parameters_to_real_space(parameters, mesh): R = FunctionSpace(mesh, 'R', 0) for name, value in vars(parameters).items(): if isinstance(value, (float, Constant)): - setattr(parameters, name, Function(R, val=float(value))) \ No newline at end of file + setattr(parameters, name, Function(R, val=float(value))) From 84814ce22157a0c4ab3503732c9791873680b336 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Thu, 19 Dec 2024 13:12:21 +0000 Subject: [PATCH 26/30] replace deprecated decorator --- gusto/core/configuration.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index 9adcf31fa..5a1cbedb7 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -1,5 +1,5 @@ """Some simple tools for configuring the model.""" -from abc import ABCMeta, abstractproperty +from abc import ABCMeta, abstractmethod from enum import Enum from firedrake import sqrt, Constant, Function, FunctionSpace @@ -163,7 +163,7 @@ class ShallowWaterParameters(Configuration): class WrapperOptions(Configuration, metaclass=ABCMeta): """Base class for specifying options for a transport scheme.""" - @abstractproperty + @abstractmethod def name(self): pass From 06de329e59d1f4583d522f8dfaab9f51d9f8a4e0 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Mon, 6 Jan 2025 10:53:19 +0000 Subject: [PATCH 27/30] fix error --- gusto/equations/boussinesq_equations.py | 4 +++- gusto/equations/shallow_water_equations.py | 3 ++- 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/gusto/equations/boussinesq_equations.py b/gusto/equations/boussinesq_equations.py index 5f2f620ba..f22013e8a 100644 --- a/gusto/equations/boussinesq_equations.py +++ b/gusto/equations/boussinesq_equations.py @@ -173,8 +173,10 @@ def __init__(self, domain, parameters, # -------------------------------------------------------------------- # if compressible: cs = parameters.cs + # On assuming ``cs`` as a constant, it is right keep it out of the + # integration. linear_div_form = divergence(subject( - prognostic(cs**2 * phi * div(u_trial) * dx, 'p'), self.X)) + prognostic(cs**2 * (phi * div(u_trial) * dx), 'p'), self.X)) divergence_form = divergence(linearisation( subject(prognostic(cs**2 * phi * div(u) * dx, 'p'), self.X), linear_div_form)) diff --git a/gusto/equations/shallow_water_equations.py b/gusto/equations/shallow_water_equations.py index 3eabc781e..aba1ed708 100644 --- a/gusto/equations/shallow_water_equations.py +++ b/gusto/equations/shallow_water_equations.py @@ -169,8 +169,9 @@ def _setup_residual(self, fexpr, topog_expr, u_transport_option): # -------------------------------------------------------------------- # # Pressure Gradient Term # -------------------------------------------------------------------- # + # On assuming ``g``, it is right to keep it out of the integral. pressure_gradient_form = pressure_gradient( - subject(prognostic(-g*div(w)*D*dx, 'u'), self.X)) + subject(prognostic(-g*(div(w)*D*dx), 'u'), self.X)) residual = (mass_form + adv_form + pressure_gradient_form) From ba4fc9553ba95ec958420c4b94852ea70b210a6c Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Mon, 6 Jan 2025 12:37:10 +0000 Subject: [PATCH 28/30] more fixes --- gusto/equations/boussinesq_equations.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gusto/equations/boussinesq_equations.py b/gusto/equations/boussinesq_equations.py index f22013e8a..3dcba43d3 100644 --- a/gusto/equations/boussinesq_equations.py +++ b/gusto/equations/boussinesq_equations.py @@ -178,7 +178,7 @@ def __init__(self, domain, parameters, linear_div_form = divergence(subject( prognostic(cs**2 * (phi * div(u_trial) * dx), 'p'), self.X)) divergence_form = divergence(linearisation( - subject(prognostic(cs**2 * phi * div(u) * dx, 'p'), self.X), + subject(prognostic(cs**2 * (phi * div(u) * dx), 'p'), self.X), linear_div_form)) else: # This enforces that div(u) = 0 From 52ed722e9c8aa2b46d7f0274803acb2f973d1cd2 Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Mon, 6 Jan 2025 13:07:32 +0000 Subject: [PATCH 29/30] wip --- gusto/physics/shallow_water_microphysics.py | 15 +++++++-------- 1 file changed, 7 insertions(+), 8 deletions(-) diff --git a/gusto/physics/shallow_water_microphysics.py b/gusto/physics/shallow_water_microphysics.py index a5f307800..c7d7c96cd 100644 --- a/gusto/physics/shallow_water_microphysics.py +++ b/gusto/physics/shallow_water_microphysics.py @@ -3,9 +3,8 @@ """ from firedrake import ( - conditional, Function, dx, min_value, max_value, FunctionSpace, assemble + Interpolator, conditional, Function, dx, min_value, max_value, FunctionSpace ) -from firedrake.__future__ import interpolate from firedrake.fml import subject from gusto.core.logging import logger from gusto.physics.physics_parametrisation import PhysicsParametrisation @@ -136,7 +135,7 @@ def __init__(self, equation, saturation_curve, self.evaluate) # interpolator does the conversion of vapour to rain - self.source_interpolate = interpolate(conditional( + self.source_interpolator = Interpolator(conditional( self.water_v > self.saturation_curve, (1/self.tau)*gamma_r*(self.water_v - self.saturation_curve), 0), Vv) @@ -161,7 +160,7 @@ def evaluate(self, x_in, dt): if self.set_tau_to_dt: self.tau.assign(dt) self.water_v.assign(x_in.subfunctions[self.Vv_idx]) - self.source.assign(assemble(self.source_interpolate)) + self.source.assign(self.source_interpolator.interpolate()) class SWSaturationAdjustment(PhysicsParametrisation): @@ -324,8 +323,8 @@ def __init__(self, equation, saturation_curve, # Add terms to equations and make interpolators # sources have the same order as V_idxs and factors self.source = [Function(Vc) for factor in factors] - self.source_interpolate = [interpolate(sat_adj_expr*factor, Vc) - for factor in factors] + self.source_interpolators = [Interpolator(sat_adj_expr*factor, source) + for factor, source in zip(factors, self.source)] # test functions have the same order as factors and sources (vapour, # cloud, depth, buoyancy) so that the correct test function multiplies @@ -362,5 +361,5 @@ def evaluate(self, x_in, dt): self.cloud.assign(x_in.subfunctions[self.Vc_idx]) if self.time_varying_gamma_v: self.gamma_v.interpolate(self.gamma_v_computation(x_in)) - for interpolator, src in zip(self.source_interpolate, self.source): - src.assign(assemble(interpolator)) + for interpolator in self.source_interpolators: + interpolator.interpolate() From 0601968a6fe3cb8198fe7e0f71e641bdd0c83cbb Mon Sep 17 00:00:00 2001 From: Iglesia Dolci Date: Mon, 6 Jan 2025 13:08:33 +0000 Subject: [PATCH 30/30] Revert "solve conflict" This reverts commit 145f111ce47292a9d63f7d76c7db7971ddcc2e86, reversing changes made to 06de329e59d1f4583d522f8dfaab9f51d9f8a4e0. --- .github/workflows/build.yml | 7 - .../compressible_euler/unsaturated_bubble.py | 9 +- gusto/core/configuration.py | 19 +- gusto/core/domain.py | 9 +- gusto/core/function_spaces.py | 156 ++-------- .../compressible_euler_diagnostics.py | 9 +- gusto/diagnostics/diagnostics.py | 57 +--- .../diagnostics/shallow_water_diagnostics.py | 16 +- gusto/physics/__init__.py | 3 +- gusto/physics/held_suarez_forcing.py | 188 ------------ gusto/physics/microphysics.py | 23 +- gusto/physics/physics_parametrisation.py | 9 +- gusto/recovery/recovery.py | 11 +- gusto/recovery/reversible_recovery.py | 15 +- gusto/solvers/__init__.py | 3 +- gusto/solvers/linear_solvers.py | 90 ++---- gusto/solvers/parameters.py | 99 ------ gusto/spatial_methods/__init__.py | 1 - gusto/spatial_methods/augmentation.py | 238 -------------- .../explicit_runge_kutta.py | 290 +++--------------- .../implicit_runge_kutta.py | 8 +- gusto/time_discretisation/sdc.py | 111 +++++-- .../time_discretisation.py | 115 ++----- gusto/time_discretisation/wrappers.py | 31 +- .../semi_implicit_quasi_newton.py | 16 +- integration-tests/conftest.py | 21 +- .../data/boussinesq_compressible_chkpt.h5 | Bin 240842 -> 240842 bytes .../data/boussinesq_incompressible_chkpt.h5 | Bin 240842 -> 240842 bytes .../data/dry_compressible_chkpt.h5 | Bin 241020 -> 241020 bytes .../data/linear_sw_wave_chkpt.h5 | Bin 580789 -> 580789 bytes .../data/moist_compressible_chkpt.h5 | Bin 269984 -> 269984 bytes .../data/simult_SIQN_order0_chkpt.h5 | Bin 312258 -> 312258 bytes .../data/simult_SIQN_order1_chkpt.h5 | Bin 279330 -> 279330 bytes integration-tests/data/sw_fplane_chkpt.h5 | Bin 937363 -> 937363 bytes integration-tests/equations/test_sw_fplane.py | 10 +- .../model/test_time_discretisation.py | 60 +--- .../physics/test_held_suarez_friction.py | 114 ------- .../physics/test_held_suarez_relaxation.py | 107 ------- .../transport/test_vector_recovered_space.py | 3 - .../transport/test_vorticity_transport.py | 111 ------- .../diagnostic_tests/test_cumulative_sum.py | 48 --- unit-tests/test_function_spaces.py | 42 --- 42 files changed, 336 insertions(+), 1713 deletions(-) delete mode 100644 gusto/physics/held_suarez_forcing.py delete mode 100644 gusto/solvers/parameters.py delete mode 100644 gusto/spatial_methods/augmentation.py delete mode 100644 integration-tests/physics/test_held_suarez_friction.py delete mode 100644 integration-tests/physics/test_held_suarez_relaxation.py delete mode 100644 integration-tests/transport/test_vorticity_transport.py delete mode 100644 unit-tests/diagnostic_tests/test_cumulative_sum.py diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml index fe0e49a28..110405818 100644 --- a/.github/workflows/build.yml +++ b/.github/workflows/build.yml @@ -11,13 +11,6 @@ on: # Scheduled build at 0330 UTC on Monday mornings to detect bitrot. - cron: '30 3 * * 1' -concurrency: - # Cancels jobs running if new commits are pushed - group: > - ${{ github.workflow }}- - ${{ github.event.pull_request.number || github.ref }} - cancel-in-progress: true - jobs: build: name: "Build Gusto" diff --git a/examples/compressible_euler/unsaturated_bubble.py b/examples/compressible_euler/unsaturated_bubble.py index 59a911cb9..394e15f97 100644 --- a/examples/compressible_euler/unsaturated_bubble.py +++ b/examples/compressible_euler/unsaturated_bubble.py @@ -216,11 +216,16 @@ def unsaturated_bubble( R_v = eqns.parameters.R_v epsilon = R_d / R_v + # make expressions for determining water_v0 + exner = thermodynamics.exner_pressure(eqns.parameters, rho_averaged, theta0) + p = thermodynamics.p(eqns.parameters, exner) + T = thermodynamics.T(eqns.parameters, theta0, exner, water_v0) + r_v_expr = thermodynamics.r_v(eqns.parameters, rel_hum, T, p) + # make expressions to evaluate residual exner_expr = thermodynamics.exner_pressure(eqns.parameters, rho_averaged, theta0) p_expr = thermodynamics.p(eqns.parameters, exner_expr) T_expr = thermodynamics.T(eqns.parameters, theta0, exner_expr, water_v0) - water_v_expr = thermodynamics.r_v(eqns.parameters, rel_hum, T_expr, p_expr) rel_hum_expr = thermodynamics.RH(eqns.parameters, water_v0, T_expr, p_expr) rel_hum_eval = Function(Vt) @@ -242,7 +247,7 @@ def unsaturated_bubble( # first solve for r_v for _ in range(max_inner_solve_count): - water_v_eval.interpolate(water_v_expr) + water_v_eval.interpolate(r_v_expr) water_v0.assign(water_v0 * (1 - delta) + delta * water_v_eval) # compute theta_vd diff --git a/gusto/core/configuration.py b/gusto/core/configuration.py index a8d09c457..5a1cbedb7 100644 --- a/gusto/core/configuration.py +++ b/gusto/core/configuration.py @@ -79,11 +79,7 @@ def __setattr__(self, name, value): # Almost all parameters should be Constants -- but there are some # specific exceptions which should be kept as integers - non_constants = [ - 'dumpfreq', 'pddumpfreq', 'chkptfreq', - 'fixed_subcycles', 'max_subcycles', 'subcycle_by_courant' - ] - if type(value) in [float, int] and name not in non_constants: + if type(value) in [float, int] and name not in ['dumpfreq', 'pddumpfreq', 'chkptfreq']: object.__setattr__(self, name, Constant(value)) else: object.__setattr__(self, name, value) @@ -269,19 +265,6 @@ class BoundaryLayerParameters(Configuration): mu = 100. # Interior penalty coefficient for vertical diffusion -class HeldSuarezParameters(Configuration): - """ - Parameters used in the default configuration for the Held Suarez test case. - """ - T0stra = 200 # Stratosphere temp - T0surf = 315 # Surface temperature at equator - T0horiz = 60 # Equator to pole temperature difference - T0vert = 10 # Stability parameter - sigmab = 0.7 # Height of the boundary layer - tau_d = 40 * 24 * 60 * 60 # 40 day time scale - tau_u = 4 * 24 * 60 * 60 # 4 day timescale - - class SubcyclingOptions(Configuration): """ Describes the process of subcycling a time discretisation, by dividing the diff --git a/gusto/core/domain.py b/gusto/core/domain.py index f1ecde8b2..5aaf58bff 100644 --- a/gusto/core/domain.py +++ b/gusto/core/domain.py @@ -6,10 +6,9 @@ from gusto.core.coordinates import Coordinates from gusto.core.function_spaces import Spaces, check_degree_args -from firedrake import ( - Constant, SpatialCoordinate, sqrt, CellNormal, cross, inner, grad, - VectorFunctionSpace, Function, FunctionSpace, perp, curl -) +from firedrake import (Constant, SpatialCoordinate, sqrt, CellNormal, cross, + inner, grad, VectorFunctionSpace, Function, FunctionSpace, + perp) import numpy as np @@ -126,14 +125,12 @@ def __init__(self, mesh, dt, family, degree=None, V = VectorFunctionSpace(mesh, "DG", sphere_degree) self.outward_normals = Function(V).interpolate(CellNormal(mesh)) self.perp = lambda u: cross(self.outward_normals, u) - self.divperp = lambda u: inner(self.outward_normals, curl(u)) else: kvec = [0.0]*dim kvec[dim-1] = 1.0 self.k = Constant(kvec) if dim == 2: self.perp = perp - self.divperp = lambda u: -u[0].dx(1) + u[1].dx(0) # -------------------------------------------------------------------- # # Construct information relating to height/radius diff --git a/gusto/core/function_spaces.py b/gusto/core/function_spaces.py index c83a15cd6..97820d454 100644 --- a/gusto/core/function_spaces.py +++ b/gusto/core/function_spaces.py @@ -4,8 +4,8 @@ """ from gusto.core.logging import logger -from firedrake import (HCurl, HDiv, FunctionSpace, FiniteElement, VectorElement, - TensorProductElement, BrokenElement, interval) +from firedrake import (HCurl, HDiv, FunctionSpace, FiniteElement, + TensorProductElement, interval) __all__ = ["Spaces", "check_degree_args"] @@ -71,7 +71,6 @@ def __init__(self, mesh): self.mesh = mesh self.extruded_mesh = hasattr(mesh, "_base_mesh") self.de_rham_complex = {} - self.continuity = {} def __call__(self, name): """ @@ -90,7 +89,7 @@ def __call__(self, name): else: raise ValueError(f'The space container has no space {name}') - def add_space(self, name, space, overwrite_space=False, continuity=None): + def add_space(self, name, space, overwrite_space=False): """ Adds a function space to the container. @@ -101,10 +100,6 @@ def add_space(self, name, space, overwrite_space=False, continuity=None): overwrite_space (bool, optional): Logical to allow space existing in container to be overwritten by an incoming space. Defaults to False. - continuity: Whether the space is continuous or not. For spaces on - extruded meshes, must be a dictionary with entries for the - 'horizontal' and 'vertical' continuity. - If None, defaults to value of is_cg(space). """ if hasattr(self, name) and not overwrite_space: @@ -114,28 +109,9 @@ def add_space(self, name, space, overwrite_space=False, continuity=None): setattr(self, name, space) - # set the continuity of the space - for extruded meshes specify both directions - if continuity is None: - continuity = is_cg(space) - if self.extruded_mesh: - self.continuity[name] = { - 'horizontal': continuity, - 'vertical': continuity - } - else: - self.continuity[name] = continuity - else: - if self.extruded_mesh: - self.continuity[name] = { - 'horizontal': continuity['horizontal'], - 'vertical': continuity['vertical'] - } - else: - self.continuity[name] = continuity - - def create_space(self, name, family, degree, overwrite_space=False, continuity=None): + def create_space(self, name, family, degree, overwrite_space=False): """ - Creates a space and adds it to the container. + Creates a space and adds it to the container.. Args: name (str): the name to give to the space. @@ -144,18 +120,18 @@ def create_space(self, name, family, degree, overwrite_space=False, continuity=N overwrite_space (bool, optional): Logical to allow space existing in container to be overwritten by an incoming space. Defaults to False. - continuity: Whether the space is continuous or not. For spaces on - extruded meshes, must be a tuple for the (horizontal, vertical) - continuity. If None, defaults to value of is_cg(space). Returns: :class:`FunctionSpace`: the desired function space. """ - space = FunctionSpace(self.mesh, family, degree, name=name) - self.add_space(name, space, - overwrite_space=overwrite_space, - continuity=continuity) + if hasattr(self, name) and not overwrite_space: + raise RuntimeError(f'Space {name} already exists. If you really ' + + 'to create it then set `overwrite_space` as ' + + 'to be True') + + space = FunctionSpace(self.mesh, family, degree, name=name) + setattr(self, name, space) return space def build_compatible_spaces(self, family, horizontal_degree, @@ -205,15 +181,9 @@ def build_compatible_spaces(self, family, horizontal_degree, setattr(self, "L2"+complex_name, de_rham_complex.L2) # Register L2 space as DG also setattr(self, "DG"+complex_name, de_rham_complex.L2) - if hasattr(de_rham_complex, "theta"): + if hasattr(de_rham_complex, "theta"+complex_name): setattr(self, "theta"+complex_name, de_rham_complex.theta) - # Grab the continuity information from the complex - for space_type in ("H1, HCurl", "HDiv", "L2", "DG", "theta"): - space_name = space_type + complex_name - if hasattr(de_rham_complex, space_type): - self.continuity[space_name] = de_rham_complex.continuity[space_type] - def build_dg1_equispaced(self): """ Builds the equispaced variant of the DG1 function space, which is used in @@ -228,15 +198,12 @@ def build_dg1_equispaced(self): hori_elt = FiniteElement('DG', cell, 1, variant='equispaced') vert_elt = FiniteElement('DG', interval, 1, variant='equispaced') V_elt = TensorProductElement(hori_elt, vert_elt) - continuity = {'horizontal': False, 'vertical': False} else: cell = self.mesh.ufl_cell().cellname() V_elt = FiniteElement('DG', cell, 1, variant='equispaced') - continuity = False space = FunctionSpace(self.mesh, V_elt, name='DG1_equispaced') - - self.add_space('DG1_equispaced', space, continuity=continuity) + setattr(self, 'DG1_equispaced', space) return space @@ -267,7 +234,6 @@ def __init__(self, mesh, family, horizontal_degree, vertical_degree=None, self.extruded_mesh = hasattr(mesh, '_base_mesh') self.family = family self.complex_name = complex_name - self.continuity = {} self.build_base_spaces(family, horizontal_degree, vertical_degree) self.build_compatible_spaces() @@ -337,24 +303,15 @@ def build_compatible_spaces(self): if self.extruded_mesh: # Horizontal and vertical degrees # need specifying separately. Vtheta needs returning. - Vcg, continuity = self.build_h1_space() - self.continuity["H1"] = continuity + Vcg = self.build_h1_space() setattr(self, "H1", Vcg) - - Vcurl, continuity = self.build_hcurl_space() - self.continuity["HCurl"] = continuity + Vcurl = self.build_hcurl_space() setattr(self, "HCurl", Vcurl) - - Vu, continuity = self.build_hdiv_space() - self.continuity["HDiv"] = continuity + Vu = self.build_hdiv_space() setattr(self, "HDiv", Vu) - - Vdg, continuity = self.build_l2_space() - self.continuity["L2"] = continuity + Vdg = self.build_l2_space() setattr(self, "L2", Vdg) - - Vth, continuity = self.build_theta_space() - self.continuity["theta"] = continuity + Vth = self.build_theta_space() setattr(self, "theta", Vth) return Vcg, Vcurl, Vu, Vdg, Vth @@ -363,20 +320,13 @@ def build_compatible_spaces(self): # 2D: two de Rham complexes (hcurl or hdiv) with 3 spaces # 3D: one de Rham complexes with 4 spaces # either way, build all spaces - Vcg, continuity = self.build_h1_space() - self.continuity["H1"] = continuity + Vcg = self.build_h1_space() setattr(self, "H1", Vcg) - - Vcurl, continuity = self.build_hcurl_space() - self.continuity["HCurl"] = continuity + Vcurl = self.build_hcurl_space() setattr(self, "HCurl", Vcurl) - - Vu, continuity = self.build_hdiv_space() - self.continuity["HDiv"] = continuity + Vu = self.build_hdiv_space() setattr(self, "HDiv", Vu) - - Vdg, continuity = self.build_l2_space() - self.continuity["L2"] = continuity + Vdg = self.build_l2_space() setattr(self, "L2", Vdg) return Vcg, Vcurl, Vu, Vdg @@ -384,18 +334,11 @@ def build_compatible_spaces(self): else: # 1D domain, de Rham complex has 2 spaces # CG, hdiv and hcurl spaces should be the same - Vcg, continuity = self.build_h1_space() - - self.continuity["H1"] = continuity + Vcg = self.build_h1_space() setattr(self, "H1", Vcg) - setattr(self, "HCurl", None) - - self.continuity["HDiv"] = continuity setattr(self, "HDiv", Vcg) - - Vdg, continuity = self.build_l2_space() - self.continuity["L2"] = continuity + Vdg = self.build_l2_space() setattr(self, "L2", Vdg) return Vcg, Vdg @@ -417,7 +360,7 @@ def build_hcurl_space(self): """ if hdiv_hcurl_dict[self.family] is None: logger.warning('There is no HCurl space for this family. Not creating one') - return None, None + return None if self.extruded_mesh: Vh_elt = HCurl(TensorProductElement(self.base_elt_hori_hcurl, @@ -425,13 +368,10 @@ def build_hcurl_space(self): Vv_elt = HCurl(TensorProductElement(self.base_elt_hori_cg, self.base_elt_vert_dg)) V_elt = Vh_elt + Vv_elt - continuity = {'horizontal': True, 'vertical': True} else: V_elt = self.base_elt_hori_hcurl - continuity = True - space_name = 'HCurl'+self.complex_name - return FunctionSpace(self.mesh, V_elt, name=space_name), continuity + return FunctionSpace(self.mesh, V_elt, name='HCurl'+self.complex_name) def build_hdiv_space(self): """ @@ -447,13 +387,9 @@ def build_hdiv_space(self): self.base_elt_vert_cg) Vv_elt = HDiv(Vt_elt) V_elt = Vh_elt + Vv_elt - continuity = {'horizontal': True, 'vertical': True} else: V_elt = self.base_elt_hori_hdiv - continuity = True - - space_name = 'HDiv'+self.complex_name - return FunctionSpace(self.mesh, V_elt, name=space_name), continuity + return FunctionSpace(self.mesh, V_elt, name='HDiv'+self.complex_name) def build_l2_space(self): """ @@ -465,13 +401,10 @@ def build_l2_space(self): if self.extruded_mesh: V_elt = TensorProductElement(self.base_elt_hori_dg, self.base_elt_vert_dg) - continuity = {'horizontal': False, 'vertical': False} else: V_elt = self.base_elt_hori_dg - continuity = False - space_name = 'L2'+self.complex_name - return FunctionSpace(self.mesh, V_elt, name=space_name), continuity + return FunctionSpace(self.mesh, V_elt, name='L2'+self.complex_name) def build_theta_space(self): """ @@ -490,10 +423,8 @@ def build_theta_space(self): assert self.extruded_mesh, 'Cannot create theta space if mesh is not extruded' V_elt = TensorProductElement(self.base_elt_hori_dg, self.base_elt_vert_cg) - continuity = {'horizontal': False, 'vertical': True} - space_name = 'theta'+self.complex_name - return FunctionSpace(self.mesh, V_elt, name=space_name), continuity + return FunctionSpace(self.mesh, V_elt, name='theta'+self.complex_name) def build_h1_space(self): """ @@ -509,13 +440,11 @@ def build_h1_space(self): if self.extruded_mesh: V_elt = TensorProductElement(self.base_elt_hori_cg, self.base_elt_vert_cg) - continuity = {'horizontal': True, 'vertical': True} + else: V_elt = self.base_elt_hori_cg - continuity = True - space_name = 'H1'+self.complex_name - return FunctionSpace(self.mesh, V_elt, name=space_name), continuity + return FunctionSpace(self.mesh, V_elt, name='H1'+self.complex_name) def check_degree_args(name, mesh, degree, horizontal_degree, vertical_degree): @@ -547,24 +476,3 @@ def check_degree_args(name, mesh, degree, horizontal_degree, vertical_degree): raise ValueError(f'Cannot pass both "degree" and "vertical_degree" to {name}') if not extruded_mesh and vertical_degree is not None: raise ValueError(f'Cannot pass "vertical_degree" to {name} if mesh is not extruded') - - -def is_cg(V): - """ - Checks if a :class:`FunctionSpace` is continuous. - - Function to check if a given space, V, is CG. Broken elements are always - discontinuous; for vector elements we check the names of the Sobolev spaces - of the subelements and for all other elements we just check the Sobolev - space name. - - Args: - V (:class:`FunctionSpace`): the space to check. - """ - ele = V.ufl_element() - if isinstance(ele, BrokenElement): - return False - elif type(ele) == VectorElement: - return all([e.sobolev_space.name == "H1" for e in ele._sub_elements]) - else: - return V.ufl_element().sobolev_space.name == "H1" diff --git a/gusto/diagnostics/compressible_euler_diagnostics.py b/gusto/diagnostics/compressible_euler_diagnostics.py index bbacc549e..ccb3a8595 100644 --- a/gusto/diagnostics/compressible_euler_diagnostics.py +++ b/gusto/diagnostics/compressible_euler_diagnostics.py @@ -734,8 +734,7 @@ def setup(self, domain, state_fields): bcs = self.equations.bcs['u'] - imbalanceproblem = LinearVariationalProblem(a, L, imbalance, bcs=bcs, - constant_jacobian=True) + imbalanceproblem = LinearVariationalProblem(a, L, imbalance, bcs=bcs) self.imbalance_solver = LinearVariationalSolver(imbalanceproblem) self.expr = dot(imbalance, domain.k) super().setup(domain, state_fields) @@ -790,14 +789,12 @@ def setup(self, domain, state_fields): eqn_rhs = domain.dt * self.phi * (rain * dot(- v, domain.k) * rho / area) * ds_b # Compute area normalisation - area_prob = LinearVariationalProblem(eqn_lhs, area_rhs, area, - constant_jacobian=True) + area_prob = LinearVariationalProblem(eqn_lhs, area_rhs, area) area_solver = LinearVariationalSolver(area_prob) area_solver.solve() # setup solver - rain_prob = LinearVariationalProblem(eqn_lhs, eqn_rhs, self.flux, - constant_jacobian=True) + rain_prob = LinearVariationalProblem(eqn_lhs, eqn_rhs, self.flux) self.solver = LinearVariationalSolver(rain_prob) self.field = state_fields(self.name, space=DG0, dump=True, pick_up=True) # Initialise field to zero, if picking up this will be overridden diff --git a/gusto/diagnostics/diagnostics.py b/gusto/diagnostics/diagnostics.py index 00272edac..b287d6d36 100644 --- a/gusto/diagnostics/diagnostics.py +++ b/gusto/diagnostics/diagnostics.py @@ -1,15 +1,14 @@ """Common diagnostic fields.""" -from firedrake import (dot, dx, Function, sqrt, TestFunction, +from firedrake import (assemble, dot, dx, Function, sqrt, TestFunction, TrialFunction, Constant, grad, inner, FacetNormal, LinearVariationalProblem, LinearVariationalSolver, ds_b, ds_v, ds_t, dS_h, dS_v, ds, dS, div, avg, pi, TensorFunctionSpace, SpatialCoordinate, as_vector, - Projector, assemble, FunctionSpace, FiniteElement, + Projector, Interpolator, FunctionSpace, FiniteElement, TensorProductElement) from firedrake.assign import Assigner -from firedrake.__future__ import interpolate from ufl.domain import extract_unique_domain from abc import ABCMeta, abstractmethod, abstractproperty @@ -22,8 +21,7 @@ "XComponent", "YComponent", "ZComponent", "MeridionalComponent", "ZonalComponent", "RadialComponent", "Energy", "KineticEnergy", "Sum", "Difference", "SteadyStateError", "Perturbation", - "Divergence", "TracerDensity", "IterativeDiagnosticField", - "CumulativeSum"] + "Divergence", "TracerDensity", "IterativeDiagnosticField"] class Diagnostics(object): @@ -194,7 +192,7 @@ def setup(self, domain, state_fields, space=None): # Solve method must be declared in diagnostic's own setup routine if self.method == 'interpolate': - self.evaluator = interpolate(self.expr, self.space) + self.evaluator = Interpolator(self.expr, self.field) elif self.method == 'project': self.evaluator = Projector(self.expr, self.field) elif self.method == 'assign': @@ -208,7 +206,7 @@ def compute(self): logger.debug(f'Computing diagnostic {self.name} with {self.method} method') if self.method == 'interpolate': - self.field.assign(assemble(self.evaluator)) + self.evaluator.interpolate() elif self.method == 'assign': self.evaluator.assign() elif self.method == 'project': @@ -295,7 +293,7 @@ def setup(self, domain, state_fields, space=None): # Solve method must be declared in diagnostic's own setup routine if self.method == 'interpolate': - self.evaluator = interpolate(self.expr, self.space) + self.evaluator = Interpolator(self.expr, self.field) elif self.method == 'project': self.evaluator = Projector(self.expr, self.field) elif self.method == 'assign': @@ -515,8 +513,7 @@ def setup(self, domain, state_fields): L = -inner(div(test), f)*dx if space.extruded: L += dot(dot(test, n), f)*(ds_t + ds_b) - prob = LinearVariationalProblem(a, L, self.field, - constant_jacobian=True) + prob = LinearVariationalProblem(a, L, self.field) self.evaluator = LinearVariationalSolver(prob) @@ -1043,43 +1040,3 @@ def setup(self, domain, state_fields): else: super().setup(domain, state_fields) - - -class CumulativeSum(DiagnosticField): - """Base diagnostic for cumulatively summing a field in time.""" - def __init__(self, name): - """ - Args: - name (str): name of the field to take the cumulative sum of. - """ - self.field_name = name - self.integral_name = name+"_cumulative" - super().__init__(self, method='assign', required_fields=(self.field_name,)) - - def setup(self, domain, state_fields): - """ - Sets up the :class:`Function` for the diagnostic field. - - Args: - domain (:class:`Domain`): the model's domain object. - state_fields (:class:`StateFields`): the model's field container. - """ - - # Gather the field to be summed - self.integrand = state_fields(self.field_name) - self.space = self.integrand.function_space() - - # Create a new field to store the cumulative sum - self.field = state_fields(self.integral_name, space=self.space, dump=True, pick_up=True) - # Initialise the new field to zero, if picking up from a checkpoint - # file the original cumulative field will load and not be overwritten. - self.field.assign(0.0) - - def compute(self): - """Increment the cumulative sum diagnostic.""" - self.field.assign(self.field + self.integrand) - - @property - def name(self): - """Gives the name of this diagnostic field.""" - return self.integral_name diff --git a/gusto/diagnostics/shallow_water_diagnostics.py b/gusto/diagnostics/shallow_water_diagnostics.py index 024e58ecf..6484b2afe 100644 --- a/gusto/diagnostics/shallow_water_diagnostics.py +++ b/gusto/diagnostics/shallow_water_diagnostics.py @@ -2,10 +2,9 @@ from firedrake import ( - dx, TestFunction, TrialFunction, grad, inner, curl, Function, assemble, + dx, TestFunction, TrialFunction, grad, inner, curl, Function, Interpolator, LinearVariationalProblem, LinearVariationalSolver, conditional ) -from firedrake.__future__ import interpolate from gusto.diagnostics.diagnostics import DiagnosticField, Energy __all__ = ["ShallowWaterKineticEnergy", "ShallowWaterPotentialEnergy", @@ -183,18 +182,15 @@ def setup(self, domain, state_fields, vorticity_type=None): if vorticity_type == "potential": a = q*gamma*D*dx - constant_jacobian = False else: a = q*gamma*dx - constant_jacobian = True L = (- inner(domain.perp(grad(gamma)), u))*dx if vorticity_type != "relative": f = state_fields("coriolis") L += gamma*f*dx - problem = LinearVariationalProblem(a, L, self.field, - constant_jacobian=constant_jacobian) + problem = LinearVariationalProblem(a, L, self.field) self.evaluator = LinearVariationalSolver(problem, solver_parameters={"ksp_type": "cg"}) @@ -322,14 +318,14 @@ def setup(self, domain, state_fields): qsat_expr = self.equation.compute_saturation(state_fields.X( self.equation.field_name)) - self.qsat_interpolate = interpolate(qsat_expr, space) + self.qsat_interpolator = Interpolator(qsat_expr, self.qsat_func) self.expr = conditional(q_t < self.qsat_func, q_t, self.qsat_func) super().setup(domain, state_fields, space=space) def compute(self): """Performs the computation of the diagnostic field.""" - self.qsat_func.assign(assemble(self.qsat_interpolate)) + self.qsat_interpolator.interpolate() super().compute() @@ -372,7 +368,7 @@ def setup(self, domain, state_fields): qsat_expr = self.equation.compute_saturation(state_fields.X( self.equation.field_name)) - self.qsat_interpolate = interpolate(qsat_expr, space) + self.qsat_interpolator = Interpolator(qsat_expr, self.qsat_func) vapour = conditional(q_t < self.qsat_func, q_t, self.qsat_func) self.expr = q_t - vapour @@ -380,5 +376,5 @@ def setup(self, domain, state_fields): def compute(self): """Performs the computation of the diagnostic field.""" - self.qsat_func.assign(assemble(self.qsat_interpolate)) + self.qsat_interpolator.interpolate() super().compute() diff --git a/gusto/physics/__init__.py b/gusto/physics/__init__.py index b1407a299..91f09c2ec 100644 --- a/gusto/physics/__init__.py +++ b/gusto/physics/__init__.py @@ -2,5 +2,4 @@ from gusto.physics.chemistry import * # noqa from gusto.physics.boundary_and_turbulence import * # noqa from gusto.physics.microphysics import * # noqa -from gusto.physics.shallow_water_microphysics import * # noqa -from gusto.physics.held_suarez_forcing import * # noqa +from gusto.physics.shallow_water_microphysics import * # noqa \ No newline at end of file diff --git a/gusto/physics/held_suarez_forcing.py b/gusto/physics/held_suarez_forcing.py deleted file mode 100644 index d7573d009..000000000 --- a/gusto/physics/held_suarez_forcing.py +++ /dev/null @@ -1,188 +0,0 @@ -import numpy as np -from firedrake import (Interpolator, Function, dx, pi, SpatialCoordinate, - split, conditional, ge, sin, dot, ln, cos, inner, Projector) -from firedrake.fml import subject -from gusto.core.coord_transforms import lonlatr_from_xyz -from gusto.recovery import Recoverer, BoundaryMethod -from gusto.physics.physics_parametrisation import PhysicsParametrisation -from gusto.core.labels import prognostic -from gusto.equations import thermodynamics -from gusto.core.configuration import HeldSuarezParameters -from gusto.core import logger - - -class Relaxation(PhysicsParametrisation): - """ - Relaxation term for Held Suarez - """ - - def __init__(self, equation, variable_name, parameters, hs_parameters=None): - """ - Args: - equation (:class:`PrognosticEquationSet`): the model's equation. - variable_name (str): the name of the variable - hs_parameters (:class'Configuration'): contains the parameters for the Held-suariez test case - - """ - label_name = f'relaxation_{variable_name}' - if hs_parameters is None: - hs_parameters = HeldSuarezParameters() - logger.warning('Using default Held-Suarez parameters') - super().__init__(equation, label_name, hs_parameters) - - if equation.domain.on_sphere: - x, y, z = SpatialCoordinate(equation.domain.mesh) - _, lat, _ = lonlatr_from_xyz(x, y, z) - else: - # TODO: this could be determined some other way - # Take a mid-latitude - lat = pi / 4 - - self.X = Function(equation.X.function_space()) - X = self.X - self.domain = equation.domain - theta_idx = equation.field_names.index('theta') - self.theta = X.subfunctions[theta_idx] - Vt = equation.domain.spaces('theta') - rho_idx = equation.field_names.index('rho') - rho = split(X)[rho_idx] - - boundary_method = BoundaryMethod.extruded if equation.domain.vertical_degree == 0 else None - self.rho_averaged = Function(Vt) - self.rho_recoverer = Recoverer(rho, self.rho_averaged, boundary_method=boundary_method) - self.exner = Function(Vt) - self.exner_interpolator = Interpolator( - thermodynamics.exner_pressure(equation.parameters, - self.rho_averaged, self.theta), self.exner) - self.sigma = Function(Vt) - kappa = equation.parameters.kappa - - T0surf = hs_parameters.T0surf - T0horiz = hs_parameters.T0horiz - T0vert = hs_parameters.T0vert - T0stra = hs_parameters.T0stra - - sigma_b = hs_parameters.sigmab - tau_d = hs_parameters.tau_d - tau_u = hs_parameters.tau_u - - theta_condition = (T0surf - T0horiz * sin(lat)**2 - (T0vert * ln(self.exner) * cos(lat)**2)/kappa) - Theta_eq = conditional(T0stra/self.exner >= theta_condition, T0stra/self.exner, theta_condition) - - # timescale of temperature forcing - tau_cond = (self.sigma**(1/kappa) - sigma_b) / (1 - sigma_b) - newton_freq = 1 / tau_d + (1/tau_u - 1/tau_d) * conditional(0 >= tau_cond, 0, tau_cond) * cos(lat)**4 - forcing_expr = newton_freq * (self.theta - Theta_eq) - - # Create source for forcing - self.source_relaxation = Function(Vt) - self.source_interpolator = Interpolator(forcing_expr, self.source_relaxation) - - # Add relaxation term to residual - test = equation.tests[theta_idx] - dx_reduced = dx(degree=equation.domain.max_quad_degree) - forcing_form = test * self.source_relaxation * dx_reduced - equation.residual += self.label(subject(prognostic(forcing_form, 'theta'), X), self.evaluate) - - def evaluate(self, x_in, dt): - """ - Evalutes the source term generated by the physics. - - Args: - x_in: (:class:`Function`): the (mixed) field to be evolved. - dt: (:class:`Constant`): the timestep, which can be the time - interval for the scheme. - """ - self.X.assign(x_in) - self.rho_recoverer.project() - self.exner_interpolator.interpolate() - - # Determine sigma:= exner / exner_surf - exner_columnwise, index_data = self.domain.coords.get_column_data(self.exner, self.domain) - sigma_columnwise = np.zeros_like(exner_columnwise) - for col in range(len(exner_columnwise[:, 0])): - sigma_columnwise[col, :] = exner_columnwise[col, :] / exner_columnwise[col, 0] - self.domain.coords.set_field_from_column_data(self.sigma, sigma_columnwise, index_data) - - self.source_interpolator.interpolate() - - -class RayleighFriction(PhysicsParametrisation): - """ - Forcing term on the velocity of the form - F_u = -u / a, - where a is some friction factor - """ - def __init__(self, equation, hs_parameters=None): - """ - Args: - equation (:class:`PrognosticEquationSet`): the model's equation. - hs_parameters (:class'Configuration'): contains the parameters for the Held-suariez test case - """ - label_name = 'rayleigh_friction' - if hs_parameters is None: - hs_parameters = HeldSuarezParameters() - logger.warning('Using default Held-Suarez parameters') - super().__init__(equation, label_name, hs_parameters) - - self.domain = equation.domain - self.X = Function(equation.X.function_space()) - X = self.X - k = equation.domain.k - u_idx = equation.field_names.index('u') - u = split(X)[u_idx] - theta_idx = equation.field_names.index('theta') - self.theta = X.subfunctions[theta_idx] - rho_idx = equation.field_names.index('rho') - rho = split(X)[rho_idx] - Vt = equation.domain.spaces('theta') - Vu = equation.domain.spaces('HDiv') - u_hori = u - k*dot(u, k) - - boundary_method = BoundaryMethod.extruded if self.domain == 0 else None - self.rho_averaged = Function(Vt) - self.exner = Function(Vt) - self.rho_recoverer = Recoverer(rho, self.rho_averaged, boundary_method=boundary_method) - self.exner_interpolator = Interpolator( - thermodynamics.exner_pressure(equation.parameters, - self.rho_averaged, self.theta), self.exner) - - self.sigma = Function(Vt) - sigmab = hs_parameters.sigmab - kappa = equation.parameters.kappa - tau_fric = 24 * 60 * 60 - - tau_cond = (self.sigma**(1/kappa) - sigmab) / (1 - sigmab) - wind_timescale = conditional(ge(0, tau_cond), 0, tau_cond) / tau_fric - forcing_expr = u_hori * wind_timescale - - self.source_friction = Function(Vu) - self.source_projector = Projector(forcing_expr, self.source_friction) - - tests = equation.tests - test = tests[u_idx] - dx_reduced = dx(degree=equation.domain.max_quad_degree) - source_form = inner(test, self.source_friction) * dx_reduced - equation.residual += self.label(subject(prognostic(source_form, 'u'), X), self.evaluate) - - def evaluate(self, x_in, dt): - """ - Evaluates the source term generated by the physics. This does nothing if - the implicit formulation is not used. - - Args: - x_in: (:class: 'Function'): the (mixed) field to be evolved. - dt: (:class: 'Constant'): the timestep, which can be the time - interval for the scheme. - """ - self.X.assign(x_in) - self.rho_recoverer.project() - self.exner_interpolator.interpolate() - # Determine sigma:= exner / exner_surf - exner_columnwise, index_data = self.domain.coords.get_column_data(self.exner, self.domain) - sigma_columnwise = np.zeros_like(exner_columnwise) - for col in range(len(exner_columnwise[:, 0])): - sigma_columnwise[col, :] = exner_columnwise[col, :] / exner_columnwise[col, 0] - self.domain.coords.set_field_from_column_data(self.sigma, sigma_columnwise, index_data) - - self.source_projector.project() diff --git a/gusto/physics/microphysics.py b/gusto/physics/microphysics.py index a5cbe3da5..e8313ab11 100644 --- a/gusto/physics/microphysics.py +++ b/gusto/physics/microphysics.py @@ -4,10 +4,9 @@ """ from firedrake import ( - conditional, Function, dx, min_value, max_value, Constant, pi, - Projector, assemble + Interpolator, conditional, Function, dx, min_value, max_value, Constant, pi, + Projector ) -from firedrake.__future__ import interpolate from firedrake.fml import identity, Term, subject from gusto.equations import Phases, TracerVariableType from gusto.recovery import Recoverer, BoundaryMethod @@ -171,7 +170,8 @@ def __init__(self, equation, vapour_name='water_vapour', # Add terms to equations and make interpolators # -------------------------------------------------------------------- # self.source = [Function(V) for factor in factors] - self.source_interpolate = [interpolate(sat_adj_expr*factor, V) for factor in factors] + self.source_interpolators = [Interpolator(sat_adj_expr*factor, source) + for factor, source in zip(factors, self.source)] tests = [equation.tests[idx] for idx in V_idxs] @@ -195,8 +195,8 @@ def evaluate(self, x_in, dt): if isinstance(self.equation, CompressibleEulerEquations): self.rho_recoverer.project() # Evaluate the source - for interpolator, src in zip(self.source_interpolate, self.source): - src.assign(assemble(interpolator)) + for interpolator in self.source_interpolators: + interpolator.interpolate() class AdvectedMoments(Enum): @@ -440,7 +440,7 @@ def __init__(self, equation, cloud_name='cloud_water', rain_name='rain', min_value(accu_rate, self.cloud_water / self.dt), min_value(accr_rate + accu_rate, self.cloud_water / self.dt)))) - self.source_interpolate = interpolate(rain_expr, Vt) + self.source_interpolator = Interpolator(rain_expr, self.source) # Add term to equation's residual test_cl = equation.tests[self.cloud_idx] @@ -464,7 +464,7 @@ def evaluate(self, x_in, dt): self.rain.assign(x_in.subfunctions[self.rain_idx]) self.cloud_water.assign(x_in.subfunctions[self.cloud_idx]) # Evaluate the source - self.source.assign(assemble(self.source_interpolate)) + self.source.assign(self.source_interpolator.interpolate()) class EvaporationOfRain(PhysicsParametrisation): @@ -609,7 +609,8 @@ def __init__(self, equation, rain_name='rain', vapour_name='water_vapour', # Add terms to equations and make interpolators # -------------------------------------------------------------------- # self.source = [Function(V) for factor in factors] - self.source_interpolate = [interpolate(evap_rate*factor, V) for factor in factors] + self.source_interpolators = [Interpolator(evap_rate*factor, source) + for factor, source in zip(factors, self.source)] tests = [equation.tests[idx] for idx in V_idxs] @@ -633,5 +634,5 @@ def evaluate(self, x_in, dt): if isinstance(self.equation, CompressibleEulerEquations): self.rho_recoverer.project() # Evaluate the source - for interpolator, src in zip(self.source_interpolate, self.source): - src.assign(assemble(interpolator)) + for interpolator in self.source_interpolators: + interpolator.interpolate() diff --git a/gusto/physics/physics_parametrisation.py b/gusto/physics/physics_parametrisation.py index c304c23f6..2d43dae48 100644 --- a/gusto/physics/physics_parametrisation.py +++ b/gusto/physics/physics_parametrisation.py @@ -8,8 +8,7 @@ """ from abc import ABCMeta, abstractmethod -from firedrake import Function, dx, Projector, assemble -from firedrake.__future__ import interpolate +from firedrake import Interpolator, Function, dx, Projector from firedrake.fml import subject from gusto.core.labels import PhysicsLabel from gusto.core.logging import logger @@ -118,14 +117,14 @@ def __init__(self, equation, variable_name, rate_expression, # Handle method of evaluating source/sink if self.method == 'interpolate': - self.source_interpolate = interpolate(expression, V) + self.source_interpolator = Interpolator(expression, V) else: self.source_projector = Projector(expression, V) # If not time-varying, evaluate for the first time here if not self.time_varying: if self.method == 'interpolate': - self.source.assign(assemble(self.source_interpolate)) + self.source.assign(self.source_interpolator.interpolate()) else: self.source.assign(self.source_projector.project()) @@ -141,7 +140,7 @@ def evaluate(self, x_in, dt): if self.time_varying: logger.info(f'Evaluating physics parametrisation {self.label.label}') if self.method == 'interpolate': - self.source.assign(assemble(self.source_interpolate)) + self.source.assign(self.source_interpolator.interpolate()) else: self.source.assign(self.source_projector.project()) else: diff --git a/gusto/recovery/recovery.py b/gusto/recovery/recovery.py index 9d186dd48..b88c6ad6a 100644 --- a/gusto/recovery/recovery.py +++ b/gusto/recovery/recovery.py @@ -13,8 +13,7 @@ Function, FunctionSpace, Interpolator, Projector, SpatialCoordinate, TensorProductElement, VectorFunctionSpace, as_vector, function, interval, - VectorElement, assemble) -from firedrake.__future__ import interpolate + VectorElement) from gusto.recovery import Averager from .recovery_kernels import (BoundaryRecoveryExtruded, BoundaryRecoveryHCurl, BoundaryGaussianElimination) @@ -145,14 +144,14 @@ def __init__(self, x_inout, method=BoundaryMethod.extruded, eff_coords=None): V_broken = FunctionSpace(mesh, BrokenElement(V_inout.ufl_element())) self.x_DG1_wrong = Function(V_broken) self.x_DG1_correct = Function(V_broken) - self.interpolate = interpolate(self.x_inout, V_broken) + self.interpolator = Interpolator(self.x_inout, self.x_DG1_wrong) self.averager = Averager(self.x_DG1_correct, self.x_inout) self.kernel = BoundaryGaussianElimination(V_broken) def apply(self): """Applies the boundary recovery process.""" if self.method == BoundaryMethod.taylor: - self.x_DG1_wrong.assign(assemble(self.interpolate)) + self.interpolator.interpolate() self.kernel.apply(self.x_DG1_wrong, self.x_DG1_correct, self.act_coords, self.eff_coords, self.num_ext) self.averager.project() @@ -276,7 +275,7 @@ def __init__(self, x_in, x_out, method='interpolate', boundary_method=None): self.boundary_recoverers.append(BoundaryRecoverer(x_out_scalars[i], method=BoundaryMethod.taylor, eff_coords=eff_coords[i])) - self.interpolate_to_vector = interpolate(as_vector(x_out_scalars), V_out) + self.interpolate_to_vector = Interpolator(as_vector(x_out_scalars), self.x_out) def project(self): """Perform the whole recovery step.""" @@ -295,7 +294,7 @@ def project(self): # Correct at boundaries boundary_recoverer.apply() # Combine the components to obtain the vector field - self.x_out.assign(assemble(self.interpolate_to_vector)) + self.interpolate_to_vector.interpolate() else: # Extrapolate at boundaries self.boundary_recoverer.apply() diff --git a/gusto/recovery/reversible_recovery.py b/gusto/recovery/reversible_recovery.py index d87449817..fc8fbd332 100644 --- a/gusto/recovery/reversible_recovery.py +++ b/gusto/recovery/reversible_recovery.py @@ -4,8 +4,7 @@ """ from gusto.core.conservative_projection import ConservativeProjector -from firedrake import (Projector, Function, assemble) -from firedrake.__future__ import interpolate +from firedrake import (Projector, Function, Interpolator) from .recovery import Recoverer __all__ = ["ReversibleRecoverer", "ConservativeRecoverer"] @@ -53,7 +52,7 @@ def __init__(self, source_field, target_field, reconstruct_opts): elif self.opts.project_high_method == 'project': self.projector_high = Projector(self.q_recovered, self.q_rec_high) elif self.opts.project_high_method == 'interpolate': - self.projector_high = interpolate(self.q_recovered, target_field.function_space()) + self.projector_high = Interpolator(self.q_recovered, self.q_rec_high) self.interp_high = True else: raise ValueError(f'Method {self.opts.project_high_method} ' @@ -69,7 +68,7 @@ def __init__(self, source_field, target_field, reconstruct_opts): elif self.opts.project_low_method == 'project': self.projector_low = Projector(self.q_rec_high, self.q_corr_low) elif self.opts.project_low_method == 'interpolate': - self.projector_low = interpolate(self.q_rec_high, source_field.function_space()) + self.projector_low = Interpolator(self.q_rec_high, self.q_corr_low) self.interp_low = True else: raise ValueError(f'Method {self.opts.project_low_method} ' @@ -85,17 +84,17 @@ def __init__(self, source_field, target_field, reconstruct_opts): elif self.opts.injection_method == 'project': self.injector = Projector(self.q_corr_low, self.q_corr_high) elif self.opts.injection_method == 'interpolate': - self.injector = interpolate(self.q_corr_low, target_field.function_space()) + self.injector = Interpolator(self.q_corr_low, self.q_corr_high) self.interp_inj = True else: raise ValueError(f'Method {self.opts.injection_method} for injection not valid') def project(self): self.recoverer.project() - self.q_rec_high.assign(assemble(self.projector_high)) if self.interp_high else self.projector_high.project() - self.q_corr_low.assign(assemble(self.projector_low)) if self.interp_low else self.projector_low.project() + self.projector_high.interpolate() if self.interp_high else self.projector_high.project() + self.projector_low.interpolate() if self.interp_low else self.projector_low.project() self.q_corr_low.assign(self.q_low - self.q_corr_low) - self.q_corr_high.assign(assemble(self.injector)) if self.interp_inj else self.injector.project() + self.injector.interpolate() if self.interp_inj else self.injector.project() self.q_high.assign(self.q_corr_high + self.q_rec_high) diff --git a/gusto/solvers/__init__.py b/gusto/solvers/__init__.py index fc4c8a7d2..efb4a5af4 100644 --- a/gusto/solvers/__init__.py +++ b/gusto/solvers/__init__.py @@ -1,3 +1,2 @@ -from gusto.solvers.parameters import * # noqa from gusto.solvers.linear_solvers import * # noqa -from gusto.solvers.preconditioners import * # noqa +from gusto.solvers.preconditioners import * # noqa \ No newline at end of file diff --git a/gusto/solvers/linear_solvers.py b/gusto/solvers/linear_solvers.py index ca684c6af..52141d5dc 100644 --- a/gusto/solvers/linear_solvers.py +++ b/gusto/solvers/linear_solvers.py @@ -11,11 +11,10 @@ rhs, FacetNormal, div, dx, jump, avg, dS, dS_v, dS_h, ds_v, ds_t, ds_b, ds_tb, inner, action, dot, grad, Function, VectorSpaceBasis, cross, BrokenElement, FunctionSpace, MixedFunctionSpace, DirichletBC, as_vector, - assemble, conditional + Interpolator, conditional ) from firedrake.fml import Term, drop from firedrake.petsc import flatten_parameters -from firedrake.__future__ import interpolate from pyop2.profiling import timed_function, timed_region from gusto.equations.active_tracers import TracerVariableType @@ -85,17 +84,6 @@ def solver_parameters(self): def _setup_solver(self): pass - @abstractmethod - def update_reference_profiles(self): - """ - Update the solver when the reference profiles have changed. - - This typically includes forcing any Jacobians that depend on - the reference profiles to be reassembled, and recalculating - any values derived from the reference values. - """ - pass - @abstractmethod def solve(self): pass @@ -273,10 +261,8 @@ def L_tr(f): rhobar_avg = Function(Vtrace) exnerbar_avg = Function(Vtrace) - rho_avg_prb = LinearVariationalProblem(a_tr, L_tr(rhobar), rhobar_avg, - constant_jacobian=True) - exner_avg_prb = LinearVariationalProblem(a_tr, L_tr(exnerbar), exnerbar_avg, - constant_jacobian=True) + rho_avg_prb = LinearVariationalProblem(a_tr, L_tr(rhobar), rhobar_avg) + exner_avg_prb = LinearVariationalProblem(a_tr, L_tr(exnerbar), exnerbar_avg) self.rho_avg_solver = LinearVariationalSolver(rho_avg_prb, solver_parameters=cg_ilu_parameters, @@ -332,8 +318,7 @@ def L_tr(f): # Function for the hybridized solutions self.urhol0 = Function(M) - hybridized_prb = LinearVariationalProblem(aeqn, Leqn, self.urhol0, - constant_jacobian=True) + hybridized_prb = LinearVariationalProblem(aeqn, Leqn, self.urhol0) hybridized_solver = LinearVariationalSolver(hybridized_prb, solver_parameters=self.solver_parameters, options_prefix='ImplicitSolver') @@ -359,8 +344,7 @@ def L_tr(f): theta_eqn = gamma*(theta - theta_in + dot(k, self.u_hdiv)*dot(k, grad(thetabar))*beta_t)*dx - theta_problem = LinearVariationalProblem(lhs(theta_eqn), rhs(theta_eqn), self.theta, - constant_jacobian=True) + theta_problem = LinearVariationalProblem(lhs(theta_eqn), rhs(theta_eqn), self.theta) self.theta_solver = LinearVariationalSolver(theta_problem, solver_parameters=cg_ilu_parameters, options_prefix='thetabacksubstitution') @@ -377,6 +361,10 @@ def L_tr(f): @timed_function("Gusto:UpdateReferenceProfiles") def update_reference_profiles(self): + """ + Updates the reference profiles. + """ + with timed_region("Gusto:HybridProjectRhobar"): logger.info('Compressible linear solver: rho average solve') self.rho_avg_solver.solve() @@ -385,13 +373,6 @@ def update_reference_profiles(self): logger.info('Compressible linear solver: Exner average solve') self.exner_avg_solver.solve() - # Because the left hand side of the hybridised problem depends - # on the reference profile, the Jacobian matrix should change - # when the reference profiles are updated. This call will tell - # the hybridized_solver to reassemble the Jacobian next time - # `solve` is called. - self.hybridized_solver.invalidate_jacobian() - @timed_function("Gusto:LinearSolve") def solve(self, xrhs, dy): """ @@ -530,8 +511,7 @@ def V(u): bcs = [DirichletBC(M.sub(0), bc.function_arg, bc.sub_domain) for bc in self.equations.bcs['u']] # Solver for u, p - up_problem = LinearVariationalProblem(aeqn, Leqn, self.up, bcs=bcs, - constant_jacobian=True) + up_problem = LinearVariationalProblem(aeqn, Leqn, self.up, bcs=bcs) # Provide callback for the nullspace of the trace system def trace_nullsp(T): @@ -554,17 +534,12 @@ def trace_nullsp(T): b_problem = LinearVariationalProblem(lhs(b_eqn), rhs(b_eqn), - self.b, - constant_jacobian=True) + self.b) self.b_solver = LinearVariationalSolver(b_problem) # Log residuals on hybridized solver self.log_ksp_residuals(self.up_solver.snes.ksp) - @timed_function("Gusto:UpdateReferenceProfiles") - def update_reference_profiles(self): - self.up_solver.invalidate_jacobian() - @timed_function("Gusto:LinearSolve") def solve(self, xrhs, dy): """ @@ -661,11 +636,11 @@ def _setup_solver(self): qtbar = split(equation.X_ref)[3] # set up interpolators that use the X_ref values for D and b_e - self.q_sat_expr_interpolate = interpolate( - equation.compute_saturation(equation.X_ref), VD) - self.q_v_interpolate = interpolate( + self.q_sat_expr_interpolator = Interpolator( + equation.compute_saturation(equation.X_ref), self.q_sat_func) + self.q_v_interpolator = Interpolator( conditional(qtbar < self.q_sat_func, qtbar, self.q_sat_func), - VD) + self.qvbar) # bbar was be_bar and here we correct to become bbar bbar += equation.parameters.beta2 * self.qvbar @@ -698,8 +673,7 @@ def _setup_solver(self): bcs = [DirichletBC(M.sub(0), bc.function_arg, bc.sub_domain) for bc in self.equations.bcs['u']] # Solver for u, D - uD_problem = LinearVariationalProblem(aeqn, Leqn, self.uD, bcs=bcs, - constant_jacobian=True) + uD_problem = LinearVariationalProblem(aeqn, Leqn, self.uD, bcs=bcs) # Provide callback for the nullspace of the trace system def trace_nullsp(T): @@ -720,8 +694,7 @@ def trace_nullsp(T): b_problem = LinearVariationalProblem(lhs(b_eqn), rhs(b_eqn), - self.b, - constant_jacobian=True) + self.b) self.b_solver = LinearVariationalSolver(b_problem) # Log residuals on hybridized solver @@ -729,9 +702,13 @@ def trace_nullsp(T): @timed_function("Gusto:UpdateReferenceProfiles") def update_reference_profiles(self): + """ + Updates the reference profiles. + """ + if self.equations.equivalent_buoyancy: - self.q_sat_func.assign(assemble(self.q_sat_expr_interpolate)) - self.qvbar.assign(assemble(self.q_v_interpolate)) + self.q_sat_expr_interpolator.interpolate() + self.q_v_interpolator.interpolate() @timed_function("Gusto:LinearSolve") def solve(self, xrhs, dy): @@ -795,17 +772,13 @@ class LinearTimesteppingSolver(object): 'sub_pc_type': 'ilu'}} } - def __init__(self, equation, alpha, reference_dependent=True): + def __init__(self, equation, alpha): """ Args: equation (:class:`PrognosticEquation`): the model's equation object. alpha (float): the semi-implicit off-centring factor. A value of 1 is fully-implicit. - reference_dependent: this indicates that the solver Jacobian should - be rebuilt if the reference profiles have been updated. """ - self.reference_dependent = reference_dependent - residual = equation.residual.label_map( lambda t: t.has_label(linearisation), lambda t: Term(t.get(linearisation).form, t.labels), @@ -832,18 +805,12 @@ def __init__(self, equation, alpha, reference_dependent=True): bcs = [DirichletBC(W.sub(0), bc.function_arg, bc.sub_domain) for bc in equation.bcs['u']] problem = LinearVariationalProblem(aeqn.form, action(Leqn.form, self.xrhs), - self.dy, bcs=bcs, - constant_jacobian=True) + self.dy, bcs=bcs) self.solver = LinearVariationalSolver(problem, solver_parameters=self.solver_parameters, options_prefix='linear_solver') - @timed_function("Gusto:UpdateReferenceProfiles") - def update_reference_profiles(self): - if self.reference_dependent: - self.solver.invalidate_jacobian() - @timed_function("Gusto:LinearSolve") def solve(self, xrhs, dy): """ @@ -928,8 +895,7 @@ def _setup_solver(self): bcs = [DirichletBC(M.sub(0), bc.function_arg, bc.sub_domain) for bc in self.equations.bcs['u']] # Solver for u, D - uD_problem = LinearVariationalProblem(aeqn, Leqn, self.uD, bcs=bcs, - constant_jacobian=True) + uD_problem = LinearVariationalProblem(aeqn, Leqn, self.uD, bcs=bcs) # Provide callback for the nullspace of the trace system def trace_nullsp(T): @@ -943,10 +909,6 @@ def trace_nullsp(T): # Log residuals on hybridized solver self.log_ksp_residuals(self.uD_solver.snes.ksp) - @timed_function("Gusto:UpdateReferenceProfiles") - def update_reference_profiles(self): - self.uD_solver.invalidate_jacobian() - @timed_function("Gusto:LinearSolve") def solve(self, xrhs, dy): """ diff --git a/gusto/solvers/parameters.py b/gusto/solvers/parameters.py deleted file mode 100644 index a7f61edb0..000000000 --- a/gusto/solvers/parameters.py +++ /dev/null @@ -1,99 +0,0 @@ -""" -This module provides some parameters sets that are good defaults -for particular kinds of system. -""" -from gusto.core.function_spaces import is_cg - -__all__ = ['mass_parameters'] - - -def mass_parameters(V, spaces=None, ignore_vertical=True): - """ - PETSc solver parameters for mass matrices. - - Currently this sets to a monolithic CG+ILU. - - TODO: implement field-by-field parameters that choose - preonly for discontinuous fields and CG for continuous - fields - see docstring below. - - ================= FUTURE DOCSTRING ================= - Any fields which are discontinuous will have block diagonal - mass matrices, so are solved directly using: - 'ksp_type': 'preonly' - 'pc_type': 'ilu' - - All continuous fields are solved with CG, with the preconditioner - being ILU independently on each field. By solving all continuous fields - "monolithically", the total number of inner products is minimised, which - is beneficial for scaling to large core counts because it minimises the - total number of MPI_Allreduce calls. - 'ksp_type': 'cg' - 'pc_type': 'fieldsplit' - 'pc_fieldsplit_type': 'additive' - 'fieldsplit_ksp_type': 'preonly' - 'fieldsplit_pc_type': 'ilu' - - Args: - spaces: Optional `Spaces` object. If present, any subspace - of V that came from the `Spaces` object will use the - continuity information from `spaces`. - If not present, continuity is checked with `is_cg`. - - ignore_vertical: whether to include the vertical direction when checking - field continuity on extruded meshes. If True, only the horizontal - continuity will be considered, e.g. the standard theta space will - be treated as discontinuous. - """ - return { - 'ksp_type': 'cg', - 'pc_type': 'bjacobi', - 'sub_pc_type': 'ilu' - } - - extruded = hasattr(V.mesh, "_base_mesh") - - continuous_fields = set() - for i, Vsub in enumerate(V.subfunctions): - # field = Vsub.name or str(i) - field = str(i) - - if spaces is not None: - continuous = spaces.continuity.get(field, is_cg(Vsub)) - else: - continuous = is_cg(Vsub) - - # For extruded meshes the continuity is recorded - # separately for the horizontal and vertical directions. - if extruded and spaces is not None: - if ignore_vertical: - continuous = continuous['horizontal'] - else: - continuous = (continuous['horizontal'] - or continuous['vertical']) - - if continuous: - continuous_fields.add(field) - - if len(V.subfunctions) == 1: - parameters = { - 'ksp_type': 'cg' if all(continuous_fields) else 'preonly', - 'pc_type': 'bjacobi', - 'sub_pc_type': 'ilu', - } - else: - - parameters = { - 'ksp_type': 'preonly', - 'pc_type': 'fieldsplit', - 'pc_fieldsplit_type': 'additive', - 'pc_fieldsplit_0_fields': ','.join(continuous_fields), - 'fieldsplit': { - 'ksp_type': 'preonly', - 'pc_type': 'bjacobi', - 'sub_pc_type': 'ilu' - }, - 'fieldsplit_0_ksp_type': 'cg', - } - - return parameters diff --git a/gusto/spatial_methods/__init__.py b/gusto/spatial_methods/__init__.py index 349094cdf..baa1e0788 100644 --- a/gusto/spatial_methods/__init__.py +++ b/gusto/spatial_methods/__init__.py @@ -2,4 +2,3 @@ from gusto.spatial_methods.diffusion_methods import * # noqa from gusto.spatial_methods.transport_methods import * # noqa from gusto.spatial_methods.limiters import * # noqa -from gusto.spatial_methods.augmentation import * # noqa \ No newline at end of file diff --git a/gusto/spatial_methods/augmentation.py b/gusto/spatial_methods/augmentation.py deleted file mode 100644 index 42aedaa64..000000000 --- a/gusto/spatial_methods/augmentation.py +++ /dev/null @@ -1,238 +0,0 @@ -""" -A module defining objects for temporarily augmenting an equation with another. -""" - - -from abc import ABCMeta, abstractmethod -from firedrake import ( - MixedFunctionSpace, Function, TestFunctions, split, inner, dx, grad, - LinearVariationalProblem, LinearVariationalSolver, lhs, rhs, dot, - ds_b, ds_v, ds_t, ds, FacetNormal, TestFunction, TrialFunction, - transpose, nabla_grad, outer, dS, dS_h, dS_v, sign, jump, div, - Constant, sqrt, cross, curl, FunctionSpace, assemble, DirichletBC -) -from firedrake.fml import subject -from gusto import ( - time_derivative, transport, transporting_velocity, TransportEquationType, - logger -) - - -class Augmentation(object, metaclass=ABCMeta): - """ - Augments an equation with another equation to be solved simultaneously. - """ - - @abstractmethod - def pre_apply(self, x_in): - """ - Steps to take at the beginning of an apply method, for instance to - assign the input field to the internal mixed function. - """ - - pass - - @abstractmethod - def post_apply(self, x_out): - """ - Steps to take at the end of an apply method, for instance to assign the - internal mixed function to the output field. - """ - - pass - - @abstractmethod - def update(self, x_in_mixed): - """ - Any intermediate update steps, depending on the current mixed function. - """ - - pass - - -class VorticityTransport(Augmentation): - """ - Solves the transport of a vector field, simultaneously with the vorticity - as a mixed proble, as described in Bendall and Wimmer (2022). - - Note that this is most effective with implicit time discretisations. The - residual-based SUPG option provides a dissipation method. - - Args: - domain (:class:`Domain`): The domain object. - eqns (:class:`PrognosticEquationSet`): The overarching equation set. - transpose_commutator (bool, optional): Whether to include the commutator - of the transpose gradient terms. This is necessary for solving the - general vector transport equation, but is not necessary when the - transporting and transported fields are the same. Defaults to True. - supg (bool, optional): Whether to include dissipation through a - residual-based SUPG scheme. Defaults to False. - """ - - def __init__( - self, domain, eqns, transpose_commutator=True, supg=False - ): - - V_vel = domain.spaces('HDiv') - V_vort = domain.spaces('H1') - - self.fs = MixedFunctionSpace((V_vel, V_vort)) - self.X = Function(self.fs) - self.tests = TestFunctions(self.fs) - - u = Function(V_vel) - F, Z = split(self.X) - test_F, test_Z = self.tests - - if hasattr(domain.mesh, "_base_mesh"): - self.ds = ds_b + ds_t + ds_v - self.dS = dS_v + dS_h - else: - self.ds = ds - self.dS = dS - - # Add boundary conditions - self.bcs = [] - if 'u' in eqns.bcs.keys(): - for bc in eqns.bcs['u']: - self.bcs.append( - DirichletBC(self.fs.sub(0), bc.function_arg, bc.sub_domain) - ) - - # Set up test function and the vorticity term - n = FacetNormal(domain.mesh) - sign_u = 0.5*(sign(dot(u, n)) + 1) - upw = lambda f: (sign_u('+')*f('+') + sign_u('-')*f('-')) - - if domain.mesh.topological_dimension() == 2: - mix_test = test_F - domain.perp(grad(test_Z)) - F_cross_u = Z*domain.perp(u) - elif domain.mesh.topological_dimension == 3: - mix_test = test_F - curl(test_Z) - F_cross_u = cross(Z, u) - - time_deriv_form = inner(F, test_F)*dx + inner(Z, test_Z)*dx - - # Standard vector invariant transport form ----------------------------- - transport_form = ( - # vorticity term - inner(mix_test, F_cross_u)*dx - + inner(n, test_Z*Z*u)*self.ds - # 0.5*grad(v . F) - - 0.5 * div(mix_test) * inner(u, F)*dx - + 0.5 * inner(mix_test, n) * inner(u, F)*self.ds - ) - - # Communtator of tranpose gradient terms ------------------------------- - # This is needed for general vector transport - if transpose_commutator: - u_dot_nabla_F = dot(u, transpose(nabla_grad(F))) - transport_form += ( - - inner(n, test_Z*domain.perp(u_dot_nabla_F))*self.ds - # + 0.5*grad(F).v - - 0.5 * dot(F, div(outer(u, mix_test)))*dx - + 0.5 * inner(mix_test('+'), n('+'))*dot(jump(u), upw(F))*self.dS - # - 0.5*grad(v).F - + 0.5 * dot(u, div(outer(F, mix_test)))*dx - - 0.5 * inner(mix_test('+'), n('+'))*dot(jump(F), upw(u))*self.dS - ) - - # SUPG terms ----------------------------------------------------------- - # Add the vorticity residual to the transported vorticity, - # which damps enstrophy - if supg: - - # Determine SUPG coefficient --------------------------------------- - tau = 0.5*domain.dt - - # Find mean grid spacing to determine a Courant number - DG0 = FunctionSpace(domain.mesh, 'DG', 0) - ones = Function(DG0).interpolate(Constant(1.0)) - area = assemble(ones*dx) - mean_dx = (area/DG0.dof_count)**(1/domain.mesh.geometric_dimension()) - - # Divide by approximately (1 + c) - tau /= (1.0 + sqrt(dot(u, u))*domain.dt/Constant(mean_dx)) - - dxqp = dx(degree=3) - - if domain.mesh.topological_dimension() == 2: - time_deriv_form -= inner(mix_test, tau*Z*domain.perp(u)/domain.dt)*dxqp - transport_form -= inner( - mix_test, tau*domain.perp(u)*domain.divperp(Z*domain.perp(u)) - )*dxqp - if transpose_commutator: - transport_form -= inner( - mix_test, - tau*domain.perp(u)*domain.divperp(u_dot_nabla_F) - )*dxqp - elif domain.mesh.topological_dimension() == 3: - time_deriv_form -= inner(mix_test, tau*cross(Z, u)/domain.dt)*dxqp - transport_form -= inner( - mix_test, tau*cross(curl(Z*u), u) - )*dxqp - if transpose_commutator: - transport_form -= inner( - mix_test, - tau*cross(curl(u_dot_nabla_F), u) - )*dxqp - - # Assemble the residual ------------------------------------------------ - residual = ( - time_derivative(time_deriv_form) - + transport( - transport_form, TransportEquationType.vector_invariant - ) - ) - residual = transporting_velocity(residual, u) - - self.residual = subject(residual, self.X) - - self.x_in = Function(self.fs) - self.Z_in = Function(V_vort) - self.x_out = Function(self.fs) - - vort_test = TestFunction(V_vort) - vort_trial = TrialFunction(V_vort) - - F_in, _ = split(self.x_in) - - eqn = ( - inner(vort_trial, vort_test)*dx - + inner(domain.perp(grad(vort_test)), F_in)*dx - + vort_test*inner(n, domain.perp(F_in))*self.ds - ) - problem = LinearVariationalProblem( - lhs(eqn), rhs(eqn), self.Z_in, constant_jacobian=True - ) - self.solver = LinearVariationalSolver(problem) - - def pre_apply(self, x_in): - """ - Sets the velocity field for the local mixed function. - - Args: - x_in (:class:`Function`): The input velocity field - """ - self.x_in.subfunctions[0].assign(x_in) - - def post_apply(self, x_out): - """ - Sets the output velocity field from the local mixed function. - - Args: - x_out (:class:`Function`): the output velocity field. - """ - x_out.assign(self.x_out.subfunctions[0]) - - def update(self, x_in_mixed): - """ - Performs the solve to determine the vorticity function. - - Args: - x_in_mixed (:class:`Function`): The mixed function to update. - """ - self.x_in.subfunctions[0].assign(x_in_mixed.subfunctions[0]) - logger.debug('Vorticity solve') - self.solver.solve() - self.x_in.subfunctions[1].assign(self.Z_in) diff --git a/gusto/time_discretisation/explicit_runge_kutta.py b/gusto/time_discretisation/explicit_runge_kutta.py index 16732bd50..0055ddb89 100644 --- a/gusto/time_discretisation/explicit_runge_kutta.py +++ b/gusto/time_discretisation/explicit_runge_kutta.py @@ -15,8 +15,8 @@ __all__ = [ - "ForwardEuler", "ExplicitRungeKutta", "SSPRK2", "SSPRK3", "SSPRK4", - "RK4", "Heun", "RungeKuttaFormulation" + "ForwardEuler", "ExplicitRungeKutta", "SSPRK3", "RK4", "Heun", + "RungeKuttaFormulation" ] @@ -89,8 +89,7 @@ class ExplicitRungeKutta(ExplicitTimeDiscretisation): def __init__(self, domain, butcher_matrix, field_name=None, subcycling_options=None, rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None): + solver_parameters=None, limiter=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -113,15 +112,11 @@ def __init__(self, domain, butcher_matrix, field_name=None, options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ super().__init__(domain, field_name=field_name, subcycling_options=subcycling_options, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) self.butcher_matrix = butcher_matrix self.nbutcher = int(np.shape(self.butcher_matrix)[0]) self.rk_formulation = rk_formulation @@ -208,7 +203,7 @@ def lhs(self): if self.rk_formulation == RungeKuttaFormulation.increment: l = self.residual.label_map( lambda t: t.has_label(time_derivative), - map_if_true=replace_subject(self.x_out, old_idx=self.idx), + map_if_true=replace_subject(self.x_out, self.idx), map_if_false=drop) return l.form @@ -218,7 +213,7 @@ def lhs(self): for stage in range(self.nStages): l = self.residual.label_map( lambda t: t.has_label(time_derivative), - map_if_true=replace_subject(self.field_i[stage+1], old_idx=self.idx), + map_if_true=replace_subject(self.field_i[stage+1], self.idx), map_if_false=drop) lhs_list.append(l) @@ -227,7 +222,7 @@ def lhs(self): if self.rk_formulation == RungeKuttaFormulation.linear: l = self.residual.label_map( lambda t: t.has_label(time_derivative), - map_if_true=replace_subject(self.x1, old_idx=self.idx), + map_if_true=replace_subject(self.x1, self.idx), map_if_false=drop) return l.form @@ -466,9 +461,6 @@ def apply_cycle(self, x_out, x_in): x_out (:class:`Function`): the output field to be computed. """ - if self.augmentation is not None: - self.augmentation.update(x_in) - # TODO: is this limiter application necessary? if self.limiter is not None: self.limiter.apply(x_in) @@ -492,8 +484,7 @@ class ForwardEuler(ExplicitRungeKutta): def __init__( self, domain, field_name=None, subcycling_options=None, rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None + solver_parameters=None, limiter=None, options=None ): """ Args: @@ -515,9 +506,6 @@ def __init__( options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ butcher_matrix = np.array([1.]).reshape(1, 1) @@ -526,136 +514,23 @@ def __init__( subcycling_options=subcycling_options, rk_formulation=rk_formulation, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) - - -class SSPRK2(ExplicitRungeKutta): - u""" - Implements 2nd order Strong-Stability-Preserving Runge-Kutta methods - for solving ∂y/∂t = F(y). \n - - Spiteri & Ruuth, 2002, SIAM J. Numer. Anal. \n - "A new class of optimal high-order strong-stability-preserving time \n - discretisation methods". \n - - The 2-stage method (Heun's method) can be written as: \n - - k0 = F[y^n] \n - k1 = F{y^n + dt*k0] \n - y^(n+1) = y^n + (1/2)*dt*(k0+k1) \n - - The 3-stage method can be written as: \n - - k0 = F[y^n] \n - k1 = F[y^n + (1/2*dt*k0] \n - k2 = F[y^n + (1/2)*dt*(k0+k1)] \n - y^(n+1) = y^n + (1/3)*dt*(k0 + k1 + k2) \n - - The 4-stage method can be written as: \n - - k0 = F[y^n] \n - k1 = F[y^n + (1/3)*dt*k1] \n - k2 = F[y^n + (1/3)*dt*(k0+k1)] \n - k3 = F[y^n + (1/3)*dt*(k0+k1+k2)] \n - y^(n+1) = y^n + (1/4)*dt*(k0 + k1 + k2 + k3) \n - """ - def __init__( - self, domain, field_name=None, subcycling_options=None, - rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None, stages=2 - ): - """ - Args: - domain (:class:`Domain`): the model's domain object, containing the - mesh and the compatible function spaces. - field_name (str, optional): name of the field to be evolved. - Defaults to None. - subcycling_options(:class:`SubcyclingOptions`, optional): an object - containing options for subcycling the time discretisation. - Defaults to None. - rk_formulation (:class:`RungeKuttaFormulation`, optional): - an enumerator object, describing the formulation of the Runge- - Kutta scheme. Defaults to the increment form. - solver_parameters (dict, optional): dictionary of parameters to - pass to the underlying solver. Defaults to None. - limiter (:class:`Limiter` object, optional): a limiter to apply to - the evolving field to enforce monotonicity. Defaults to None. - options (:class:`AdvectionOptions`, optional): an object containing - options to either be passed to the spatial discretisation, or - to control the "wrapper" methods, such as Embedded DG or a - recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. - stages (int, optional): number of stages: (2, 3, 4). Defaults to 2. - """ - - if stages == 2: - butcher_matrix = np.array([ - [1., 0.], - [0.5, 0.5] - ]) - self.cfl_limit = 1 - - elif stages == 3: - butcher_matrix = np.array([ - [1./2., 0., 0.], - [1./2., 1./2., 0.], - [1./3., 1./3., 1./3.] - ]) - self.cfl_limit = 2 - elif stages == 4: - butcher_matrix = np.array([ - [1./3., 0., 0., 0.], - [1./3., 1./3., 0., 0.], - [1./3., 1./3., 1./3., 0.], - [1./4., 1./4., 1./4., 1./4.] - ]) - self.cfl_limit = 3 - else: - raise ValueError(f"{stages} stage 2rd order SSPRK not implemented") - - super().__init__(domain, butcher_matrix, field_name=field_name, - subcycling_options=subcycling_options, - rk_formulation=rk_formulation, - solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) class SSPRK3(ExplicitRungeKutta): u""" - Implements 3rd order Strong-Stability-Preserving Runge-Kutta methods - for solving ∂y/∂t = F(y). \n - - Spiteri & Ruuth, 2002, SIAM J. Numer. Anal. \n - "A new class of optimal high-order strong-stability-preserving time \n - discretisation methods". \n - - The 3-stage method can be written as: \n + Implements the 3-stage Strong-Stability-Preserving Runge-Kutta method + for solving ∂y/∂t = F(y). It can be written as: \n k0 = F[y^n] \n k1 = F[y^n + dt*k1] \n k2 = F[y^n + (1/4)*dt*(k0+k1)] \n y^(n+1) = y^n + (1/6)*dt*(k0 + k1 + 4*k2) \n - - The 4-stage method can be written as: \n - - k0 = F[y^n] \n - k1 = F[y^n + (1/2)*dt*k1] \n - k2 = F[y^n + (1/2)*dt*(k0+k1)] \n - k3 = F[y^n + (1/6)*dt*(k0+k1+k2)] \n - y^(n+1) = y^n + (1/6)*dt*(k0 + k1 + k2 + 3*k3) \n - - The 5-stage method has numerically optimised coefficients. \n """ def __init__( self, domain, field_name=None, subcycling_options=None, rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None, stages=3 + solver_parameters=None, limiter=None, options=None ): """ Args: @@ -677,63 +552,39 @@ def __init__( options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. - stages (int, optional): number of stages: (3, 4, 5). Defaults to 3. """ - if stages == 3: - butcher_matrix = np.array([ - [1., 0., 0.], - [1./4., 1./4., 0.], - [1./6., 1./6., 2./3.] - ]) - self.cfl_limit = 1 - elif stages == 4: - butcher_matrix = np.array([ - [1./2., 0., 0., 0.], - [1./2., 1./2., 0., 0.], - [1./6., 1./6., 1./6., 0.], - [1./6., 1./6., 1./6., 1./2.] - ]) - self.cfl_limit = 2 - elif stages == 5: - self.cfl_limit = 2.65062919294483 - butcher_matrix = np.array([ - [0.37726891511710, 0., 0., 0., 0.], - [0.37726891511710, 0.37726891511710, 0., 0., 0.], - [0.16352294089771, 0.16352294089771, 0.16352294089771, 0., 0.], - [0.14904059394856, 0.14831273384724, 0.14831273384724, 0.34217696850008, 0.], - [0.19707596384481, 0.11780316509765, 0.11709725193772, 0.27015874934251, 0.29786487010104] - ]) - else: - raise ValueError(f"{stages} stage 3rd order SSPRK not implemented") - + butcher_matrix = np.array([ + [1., 0., 0.], + [1./4., 1./4., 0.], + [1./6., 1./6., 2./3.] + ]) super().__init__(domain, butcher_matrix, field_name=field_name, subcycling_options=subcycling_options, rk_formulation=rk_formulation, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) -class SSPRK4(ExplicitRungeKutta): +class RK4(ExplicitRungeKutta): u""" - Implements 4th order Strong-Stability-Preserving Runge-Kutta methods - for solving ∂y/∂t = F(y). \n + Implements the classic 4-stage Runge-Kutta method. - Spiteri & Ruuth, 2002, SIAM J. Numer. Anal. \n - "A new class of optimal high-order strong-stability-preserving time \n - discretisation methods". \n + The classic 4-stage Runge-Kutta method for solving ∂y/∂t = F(y). It can be + written as: \n + + k0 = F[y^n] \n + k1 = F[y^n + 1/2*dt*k1] \n + k2 = F[y^n + 1/2*dt*k2] \n + k3 = F[y^n + dt*k3] \n + y^(n+1) = y^n + (1/6) * dt * (k0 + 2*k1 + 2*k2 + k3) \n - The 5-stage method has numerically optimised coefficients. \n + where superscripts indicate the time-level. \n """ def __init__( self, domain, field_name=None, subcycling_options=None, rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None, stages=5 + solver_parameters=None, limiter=None, options=None ): """ Args: @@ -755,52 +606,37 @@ def __init__( options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. - stages (int, optional): number of stages: (5,). Defaults to 5. """ - - if stages == 5: - self.cfl_limit = 1.50818004975927 - butcher_matrix = np.array([ - [0.39175222700392, 0., 0., 0., 0.], - [0.21766909633821, 0.36841059262959, 0., 0., 0.], - [0.08269208670950, 0.13995850206999, 0.25189177424738, 0., 0.], - [0.06796628370320, 0.11503469844438, 0.20703489864929, 0.54497475021237, 0.], - [0.14681187618661, 0.24848290924556, 0.10425883036650, 0.27443890091960, 0.22600748319395] - ]) - else: - raise ValueError(f"{stages} stage 4rd order SSPRK not implemented") - + butcher_matrix = np.array([ + [0.5, 0., 0., 0.], + [0., 0.5, 0., 0.], + [0., 0., 1., 0.], + [1./6., 1./3., 1./3., 1./6.] + ]) super().__init__(domain, butcher_matrix, field_name=field_name, subcycling_options=subcycling_options, rk_formulation=rk_formulation, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) -class RK4(ExplicitRungeKutta): +class Heun(ExplicitRungeKutta): u""" - Implements the classic 4-stage Runge-Kutta method. + Implements Heun's method. - The classic 4-stage Runge-Kutta method for solving ∂y/∂t = F(y). It can be - written as: \n + The 2-stage Runge-Kutta scheme known as Heun's method,for solving + ∂y/∂t = F(y). It can be written as: \n - k0 = F[y^n] \n - k1 = F[y^n + 1/2*dt*k1] \n - k2 = F[y^n + 1/2*dt*k2] \n - k3 = F[y^n + dt*k3] \n - y^(n+1) = y^n + (1/6) * dt * (k0 + 2*k1 + 2*k2 + k3) \n + y_1 = F[y^n] \n + y^(n+1) = (1/2)y^n + (1/2)F[y_1] \n - where superscripts indicate the time-level. \n + where superscripts indicate the time-level and subscripts indicate the stage + number. """ def __init__( self, domain, field_name=None, subcycling_options=None, rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None + solver_parameters=None, limiter=None, options=None ): """ Args: @@ -822,40 +658,14 @@ def __init__( options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ + butcher_matrix = np.array([ - [0.5, 0., 0., 0.], - [0., 0.5, 0., 0.], - [0., 0., 1., 0.], - [1./6., 1./3., 1./3., 1./6.] + [1., 0.], + [0.5, 0.5] ]) super().__init__(domain, butcher_matrix, field_name=field_name, subcycling_options=subcycling_options, rk_formulation=rk_formulation, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) - - -def Heun(domain, field_name=None, subcycling_options=None, - rk_formulation=RungeKuttaFormulation.increment, - solver_parameters=None, limiter=None, options=None, - augmentation=None): - u""" - Implements Heun's method. - - The 2-stage Runge-Kutta scheme known as Heun's method,for solving - ∂y/∂t = F(y). It can be written as: \n - - y_1 = F[y^n] \n - y^(n+1) = (1/2)y^n + (1/2)F[y_1] \n - - where superscripts indicate the time-level and subscripts indicate the stage - number. - """ - return SSPRK2(domain, field_name=field_name, subcycling_options=subcycling_options, - rk_formulation=rk_formulation, solver_parameters=solver_parameters, - limiter=limiter, options=options, augmentation=augmentation, stages=2) + limiter=limiter, options=options) diff --git a/gusto/time_discretisation/implicit_runge_kutta.py b/gusto/time_discretisation/implicit_runge_kutta.py index b220ef0be..8eb1c75ab 100644 --- a/gusto/time_discretisation/implicit_runge_kutta.py +++ b/gusto/time_discretisation/implicit_runge_kutta.py @@ -56,7 +56,7 @@ class ImplicitRungeKutta(TimeDiscretisation): # --------------------------------------------------------------------------- def __init__(self, domain, butcher_matrix, field_name=None, - solver_parameters=None, options=None, augmentation=None): + solver_parameters=None, options=None,): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -75,7 +75,7 @@ def __init__(self, domain, butcher_matrix, field_name=None, """ super().__init__(domain, field_name=field_name, solver_parameters=solver_parameters, - options=options, augmentation=augmentation) + options=options) self.butcher_matrix = butcher_matrix self.nStages = int(np.shape(self.butcher_matrix)[1]) @@ -165,7 +165,7 @@ class ImplicitMidpoint(ImplicitRungeKutta): y^(n+1) = y^n + dt*k0 \n """ def __init__(self, domain, field_name=None, solver_parameters=None, - options=None, augmentation=None): + options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -182,7 +182,7 @@ def __init__(self, domain, field_name=None, solver_parameters=None, butcher_matrix = np.array([[0.5], [1.]]) super().__init__(domain, butcher_matrix, field_name, solver_parameters=solver_parameters, - options=options, augmentation=augmentation) + options=options) class QinZhang(ImplicitRungeKutta): diff --git a/gusto/time_discretisation/sdc.py b/gusto/time_discretisation/sdc.py index 234f0c7b9..0fe0c9f29 100644 --- a/gusto/time_discretisation/sdc.py +++ b/gusto/time_discretisation/sdc.py @@ -46,12 +46,14 @@ from abc import ABCMeta import numpy as np from firedrake import ( - Function, NonlinearVariationalProblem, NonlinearVariationalSolver, Constant + Function, NonlinearVariationalProblem, TestFunction, TestFunctions, + NonlinearVariationalSolver, Constant ) from firedrake.fml import ( - replace_subject, all_terms, drop + replace_subject, replace_test_function, all_terms, drop ) from firedrake.utils import cached_property +from gusto.time_discretisation.wrappers import * from gusto.time_discretisation.time_discretisation import wrapper_apply from gusto.core.labels import (time_derivative, implicit, explicit) @@ -116,8 +118,36 @@ def __init__(self, base_scheme, domain, M, maxk, quad_type, node_type, qdelta_im self.final_update = final_update self.formulation = formulation self.limiter = limiter - self.augmentation = self.base.augmentation - self.wrapper = self.base.wrapper + + # Initialise wrappers + if options is not None: + self.wrapper_name = options.name + if self.wrapper_name == "mixed_options": + self.wrapper = MixedFSWrapper() + + for field, suboption in options.suboptions.items(): + if suboption.name == 'embedded_dg': + self.wrapper.subwrappers.update({field: EmbeddedDGWrapper(self, suboption)}) + elif suboption.name == "recovered": + self.wrapper.subwrappers.update({field: RecoveryWrapper(self, suboption)}) + elif suboption.name == "supg": + raise RuntimeError( + 'SDC: suboption SUPG is currently not implemented within MixedOptions') + else: + raise RuntimeError( + f'SDC: suboption wrapper {wrapper_name} not implemented') + elif self.wrapper_name == "embedded_dg": + self.wrapper = EmbeddedDGWrapper(self, options) + elif self.wrapper_name == "recovered": + self.wrapper = RecoveryWrapper(self, options) + elif self.wrapper_name == "supg": + self.wrapper = SUPGWrapper(self, options) + else: + raise RuntimeError( + f'SDC: wrapper {self.wrapper_name} not implemented') + else: + self.wrapper = None + self.wrapper_name = None # Get quadrature nodes and weights self.nodes, self.weights, self.Q = genQCoeffs("Collocation", nNodes=M, @@ -130,10 +160,6 @@ def __init__(self, base_scheme, domain, M, maxk, quad_type, node_type, qdelta_im self.dtau = np.diff(np.append(0, self.nodes)) self.Q = float(self.dt_coarse)*self.Q self.Qfin = float(self.dt_coarse)*self.weights - self.qdelta_imp_type = qdelta_imp - self.formulation = formulation - self.node_type = node_type - self.quad_type = quad_type # Get Q_delta matrices self.Qdelta_imp = genQDeltaCoeffs(qdelta_imp, form=formulation, @@ -187,6 +213,62 @@ def setup(self, equation, apply_bcs=True, *active_labels): and (not t.has_label(time_derivative))): raise NotImplementedError("Non time-derivative terms must be labeled as implicit or explicit") + # Check we are not using wrappers for implicit schemes + if (t.has_label(implicit) and self.wrapper is not None): + raise NotImplementedError("Implicit terms not supported with wrappers") + + # Check we are not using limiters for implicit schemes + if (t.has_label(implicit) and self.limiter is not None): + raise NotImplementedError("Implicit terms not supported with limiters") + + # Set up Wrappers + if self.wrapper is not None: + if self.wrapper_name == "mixed_options": + + self.wrapper.wrapper_spaces = equation.spaces + self.wrapper.field_names = equation.field_names + + for field, subwrapper in self.wrapper.subwrappers.items(): + + if field not in equation.field_names: + raise ValueError(f"The option defined for {field} is for a field that does not exist in the equation set") + + field_idx = equation.field_names.index(field) + subwrapper.setup(equation.spaces[Wrappersfield_idx]) + + # Update the function space to that needed by the wrapper + self.wrapper.wrapper_spaces[field_idx] = subwrapper.function_space + + self.wrapper.setup() + self.fs = self.wrapper.function_space + new_test_mixed = TestFunctions(self.fs) + + # Replace the original test function with one from the new + # function space defined by the subwrappers + self.residual = self.residual.label_map( + all_terms, + map_if_true=replace_test_function(new_test_mixed)) + + else: + if self.wrapper_name == "supg": + self.wrapper.setup() + else: + self.wrapper.setup(self.fs) + self.fs = self.wrapper.function_space + if self.solver_parameters is None: + self.solver_parameters = self.wrapper.solver_parameters + new_test = TestFunction(self.wrapper.test_space) + # SUPG has a special wrapper + if self.wrapper_name == "supg": + new_test = self.wrapper.test + + # Replace the original test function with the one from the wrapper + self.residual = self.residual.label_map( + all_terms, + map_if_true=replace_test_function(new_test)) + + self.residual = self.wrapper.label_terms(self.residual) + # Set up bcs self.bcs = self.base.bcs @@ -398,19 +480,6 @@ def apply(self, x_out, x_in): while k < self.maxk: k += 1 - if self.qdelta_imp_type == "MIN-SR-FLEX": - # Recompute Implicit Q_delta matrix for each iteration k - self.Qdelta_imp = genQDeltaCoeffs( - self.qdelta_imp_type, - form=self.formulation, - nodes=self.nodes, - Q=self.Q, - nNodes=self.M, - nodeType=self.node_type, - quadType=self.quad_type, - k=k - ) - # Compute for N2N: sum(j=1,M) (s_mj*F(y_m^k) + s_mj*S(y_m^k)) # for Z2N: sum(j=1,M) (q_mj*F(y_m^k) + q_mj*S(y_m^k)) for m in range(1, self.M+1): diff --git a/gusto/time_discretisation/time_discretisation.py b/gusto/time_discretisation/time_discretisation.py index 083aad8ce..d168039d2 100644 --- a/gusto/time_discretisation/time_discretisation.py +++ b/gusto/time_discretisation/time_discretisation.py @@ -21,7 +21,6 @@ mass_weighted, nonlinear_time_derivative) from gusto.core.logging import logger, DEBUG, logging_ksp_monitor_true_residual from gusto.time_discretisation.wrappers import * -from gusto.solvers import mass_parameters __all__ = ["TimeDiscretisation", "ExplicitTimeDiscretisation", "BackwardEuler", "ThetaMethod", "TrapeziumRule", "TR_BDF2"] @@ -31,17 +30,7 @@ def wrapper_apply(original_apply): """Decorator to add steps for using a wrapper around the apply method.""" def get_apply(self, x_out, x_in): - if self.augmentation is not None: - - def new_apply(self, x_out, x_in): - - self.augmentation.pre_apply(x_in) - original_apply(self, self.augmentation.x_out, self.augmentation.x_in) - self.augmentation.post_apply(x_out) - - return new_apply(self, x_out, x_in) - - elif self.wrapper is not None: + if self.wrapper is not None: def new_apply(self, x_out, x_in): @@ -62,17 +51,13 @@ class TimeDiscretisation(object, metaclass=ABCMeta): """Base class for time discretisation schemes.""" def __init__(self, domain, field_name=None, subcycling_options=None, - solver_parameters=None, limiter=None, options=None, - augmentation=None): + solver_parameters=None, limiter=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the mesh and the compatible function spaces. field_name (str, optional): name of the field to be evolved. Defaults to None. - subcycling_options(:class:`SubcyclingOptions`, optional): an object - containing options for subcycling the time discretisation. - Defaults to None. solver_parameters (dict, optional): dictionary of parameters to pass to the underlying solver. Defaults to None. limiter (:class:`Limiter` object, optional): a limiter to apply to @@ -81,9 +66,6 @@ def __init__(self, domain, field_name=None, subcycling_options=None, options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ self.domain = domain self.field_name = field_name @@ -94,8 +76,7 @@ def __init__(self, domain, field_name=None, subcycling_options=None, self.options = options self.limiter = limiter self.courant_max = None - self.augmentation = augmentation - self.subcycling_options = subcycling_options + self.subcycling_options = None if self.subcycling_options is not None: self.subcycling_options.check_options() @@ -176,11 +157,6 @@ def setup(self, equation, apply_bcs=True, *active_labels): self.fs = equation.function_space self.idx = None - if self.augmentation is not None: - self.fs = self.augmentation.fs - self.residual = self.augmentation.residual - self.idx = None - if len(active_labels) > 0: if isinstance(self.field_name, list): # Multiple fields are being solved for simultaneously. @@ -201,7 +177,6 @@ def setup(self, equation, apply_bcs=True, *active_labels): map_if_false=drop) self.residual = residual - else: self.residual = self.residual.label_map( lambda t: any(t.has_label(time_derivative, *active_labels)), @@ -211,11 +186,7 @@ def setup(self, equation, apply_bcs=True, *active_labels): if isinstance(self.field_name, list): self.field_name = equation.field_name - if self.augmentation is not None: - # Transfer BCs from appropriate function space - bcs = self.augmentation.bcs if hasattr(self.augmentation, "bcs") else None - else: - bcs = equation.bcs[self.field_name] + bcs = equation.bcs[self.field_name] self.evaluate_source = [] self.physics_names = [] @@ -231,16 +202,8 @@ def setup(self, equation, apply_bcs=True, *active_labels): for field in equation.field_names: # Check if the mass term for this prognostic is mass-weighted - if len(self.residual.label_map(( - lambda t: t.get(prognostic) == field - and t.has_label(time_derivative) - and t.has_label(mass_weighted) - ), map_if_false=drop)) == 1: - - field_terms = self.residual.label_map( - lambda t: t.get(prognostic) == field and not t.has_label(time_derivative), - map_if_false=drop - ) + if len(self.residual.label_map(lambda t: t.get(prognostic) == field and t.has_label(time_derivative) and t.has_label(mass_weighted), map_if_false=drop)) == 1: + field_terms = self.residual.label_map(lambda t: t.get(prognostic) == field and not t.has_label(time_derivative), map_if_false=drop) # Check that the equation for this prognostic does not involve # both mass-weighted and non-mass-weighted terms; if so, a split @@ -442,8 +405,7 @@ class ExplicitTimeDiscretisation(TimeDiscretisation): """Base class for explicit time discretisations.""" def __init__(self, domain, field_name=None, subcycling_options=None, - solver_parameters=None, limiter=None, options=None, - augmentation=None): + solver_parameters=None, limiter=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -461,15 +423,20 @@ def __init__(self, domain, field_name=None, subcycling_options=None, options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ super().__init__(domain, field_name, subcycling_options=subcycling_options, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) + + # get default solver options if none passed in + if solver_parameters is None: + self.solver_parameters = {'snes_type': 'ksponly', + 'ksp_type': 'cg', + 'pc_type': 'bjacobi', + 'sub_pc_type': 'ilu'} + else: + self.solver_parameters = solver_parameters def setup(self, equation, apply_bcs=True, *active_labels): """ @@ -484,25 +451,20 @@ def setup(self, equation, apply_bcs=True, *active_labels): """ super().setup(equation, apply_bcs, *active_labels) - # get default solver options if none passed in - self.solver_parameters.update(mass_parameters( - self.fs, equation.domain.spaces)) - self.solver_parameters['snes_type'] = 'ksponly' - # if user has specified a number of fixed subcycles, then save this # and rescale dt accordingly; else perform just one cycle using dt if (self.subcycling_options is not None and self.subcycling_options.fixed_subcycles is not None): - self.ncycles = self.subcycling_options.fixed_subcycles - self.dt.assign(self.dt/self.ncycles) + fixed_subcycles = self.subcycling_options.fixed_subcycles + self.dt.assign(self.dt/fixed_subcycles) + self.ncycles = self.fixed_subcycles else: - self.ncycles = 1 self.dt = self.dt + self.ncycles = 1 self.x0 = Function(self.fs) self.x1 = Function(self.fs) - # If the time_derivative term is nonlinear, we must use a nonlinear solver, - # but if the time_derivative term is linear, we can reuse the factorisations. + # If the time_derivative term is nonlinear, we must use a nonlinear solver if ( len(self.residual.label_map( lambda t: t.has_label(nonlinear_time_derivative), @@ -514,11 +476,6 @@ def setup(self, equation, apply_bcs=True, *active_labels): + ' as the time derivative term is nonlinear') logger.warning(message) self.solver_parameters['snes_type'] = 'newtonls' - else: - self.solver_parameters.setdefault('snes_lag_jacobian', -2) - self.solver_parameters.setdefault('snes_lag_jacobian_persists', None) - self.solver_parameters.setdefault('snes_lag_preconditioner', -2) - self.solver_parameters.setdefault('snes_lag_preconditioner_persists', None) @cached_property def lhs(self): @@ -577,8 +534,7 @@ class BackwardEuler(TimeDiscretisation): y^(n+1) = y^n + dt*F[y^(n+1)]. \n """ def __init__(self, domain, field_name=None, subcycling_options=None, - solver_parameters=None, limiter=None, options=None, - augmentation=None): + solver_parameters=None, limiter=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -595,10 +551,7 @@ def __init__(self, domain, field_name=None, subcycling_options=None, options (:class:`AdvectionOptions`, optional): an object containing options to either be passed to the spatial discretisation, or to control the "wrapper" methods. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. - """ + """ if not solver_parameters: # default solver parameters solver_parameters = {'ksp_type': 'gmres', @@ -607,8 +560,7 @@ def __init__(self, domain, field_name=None, subcycling_options=None, super().__init__(domain=domain, field_name=field_name, subcycling_options=subcycling_options, solver_parameters=solver_parameters, - limiter=limiter, options=options, - augmentation=augmentation) + limiter=limiter, options=options) def setup(self, equation, apply_bcs=True, *active_labels): """ @@ -704,7 +656,7 @@ class ThetaMethod(TimeDiscretisation): """ def __init__(self, domain, theta, field_name=None, subcycling_options=None, - solver_parameters=None, options=None, augmentation=None): + solver_parameters=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -722,9 +674,6 @@ def __init__(self, domain, theta, field_name=None, subcycling_options=None, options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. Raises: ValueError: if theta is not provided. @@ -743,8 +692,7 @@ def __init__(self, domain, theta, field_name=None, subcycling_options=None, super().__init__(domain, field_name, subcycling_options=subcycling_options, solver_parameters=solver_parameters, - options=options, - augmentation=augmentation) + options=options) self.theta = theta @@ -821,8 +769,6 @@ def apply(self, x_out, x_in): x_in (:class:`Function`): the input field. """ self.update_subcycling() - if self.augmentation is not None: - self.augmentation.update(x_in) self.x0.assign(x_in) for i in range(self.ncycles): @@ -843,7 +789,7 @@ class TrapeziumRule(ThetaMethod): """ def __init__(self, domain, field_name=None, subcycling_options=None, - solver_parameters=None, options=None, augmentation=None): + solver_parameters=None, options=None): """ Args: domain (:class:`Domain`): the model's domain object, containing the @@ -856,14 +802,11 @@ def __init__(self, domain, field_name=None, subcycling_options=None, options to either be passed to the spatial discretisation, or to control the "wrapper" methods, such as Embedded DG or a recovery method. Defaults to None. - augmentation (:class:`Augmentation`): allows the equation solved in - this time discretisation to be augmented, for instances with - extra terms of another auxiliary variable. Defaults to None. """ super().__init__(domain, 0.5, field_name, subcycling_options=subcycling_options, solver_parameters=solver_parameters, - options=options, augmentation=augmentation) + options=options) class TR_BDF2(TimeDiscretisation): diff --git a/gusto/time_discretisation/wrappers.py b/gusto/time_discretisation/wrappers.py index 18381bc1f..2d388e998 100644 --- a/gusto/time_discretisation/wrappers.py +++ b/gusto/time_discretisation/wrappers.py @@ -6,16 +6,14 @@ from abc import ABCMeta, abstractmethod from firedrake import ( - FunctionSpace, Function, BrokenElement, Projector, Constant, as_ufl, dot, grad, - TestFunction, MixedFunctionSpace, assemble + FunctionSpace, Function, BrokenElement, Projector, Interpolator, + VectorElement, Constant, as_ufl, dot, grad, TestFunction, MixedFunctionSpace ) -from firedrake.__future__ import interpolate from firedrake.fml import Term from gusto.core.configuration import EmbeddedDGOptions, RecoveryOptions, SUPGOptions from gusto.recovery import Recoverer, ReversibleRecoverer, ConservativeRecoverer from gusto.core.labels import transporting_velocity from gusto.core.conservative_projection import ConservativeProjector -from gusto.core.function_spaces import is_cg import ufl __all__ = ["EmbeddedDGWrapper", "RecoveryWrapper", "SUPGWrapper", "MixedFSWrapper"] @@ -265,7 +263,7 @@ def setup(self, original_space, post_apply_bcs): # Operators for projecting back self.interp_back = (self.options.project_low_method == 'interpolate') if self.options.project_low_method == 'interpolate': - self.x_out_projector = interpolate(self.x_out, self.original_space) + self.x_out_projector = Interpolator(self.x_out, self.x_projected) elif self.options.project_low_method == 'project': self.x_out_projector = Projector(self.x_out, self.x_projected, bcs=post_apply_bcs) @@ -303,12 +301,33 @@ def post_apply(self, x_out): """ if self.interp_back: - self.x_projected.assign(assemble(self.x_out_projector)) + self.x_out_projector.interpolate() else: self.x_out_projector.project() x_out.assign(self.x_projected) +def is_cg(V): + """ + Checks if a :class:`FunctionSpace` is continuous. + + Function to check if a given space, V, is CG. Broken elements are always + discontinuous; for vector elements we check the names of the Sobolev spaces + of the subelements and for all other elements we just check the Sobolev + space name. + + Args: + V (:class:`FunctionSpace`): the space to check. + """ + ele = V.ufl_element() + if isinstance(ele, BrokenElement): + return False + elif type(ele) == VectorElement: + return all([e.sobolev_space.name == "H1" for e in ele._sub_elements]) + else: + return V.ufl_element().sobolev_space.name == "H1" + + class SUPGWrapper(Wrapper): """ Wrapper for computing a time discretisation with SUPG, which adjusts the diff --git a/gusto/timestepping/semi_implicit_quasi_newton.py b/gusto/timestepping/semi_implicit_quasi_newton.py index 19142dbaa..7c4de236b 100644 --- a/gusto/timestepping/semi_implicit_quasi_newton.py +++ b/gusto/timestepping/semi_implicit_quasi_newton.py @@ -4,17 +4,16 @@ """ from firedrake import ( - Function, Constant, TrialFunctions, DirichletBC, div, assemble, + Function, Constant, TrialFunctions, DirichletBC, div, Interpolator, LinearVariationalProblem, LinearVariationalSolver ) from firedrake.fml import drop, replace_subject -from firedrake.__future__ import interpolate from pyop2.profiling import timed_stage from gusto.core import TimeLevelFields, StateFields from gusto.core.labels import (transport, diffusion, time_derivative, linearisation, prognostic, hydrostatic, physics_label, sponge, incompressible) -from gusto.solvers import LinearTimesteppingSolver, mass_parameters +from gusto.solvers import LinearTimesteppingSolver from gusto.core.logging import logger, DEBUG, logging_ksp_monitor_true_residual from gusto.time_discretisation.time_discretisation import ExplicitTimeDiscretisation from gusto.timestepping.timestepper import BaseTimestepper @@ -235,8 +234,9 @@ def __init__(self, equation_set, io, transport_schemes, spatial_methods, V_DG = equation_set.domain.spaces('DG') self.predictor_field_in = Function(V_DG) div_factor = Constant(1.0) - (Constant(1.0) - self.alpha)*self.dt*div(self.x.n('u')) - self.predictor_interpolate = interpolate( - self.x.star(predictor)*div_factor, V_DG) + self.predictor_interpolator = Interpolator( + self.x.star(predictor)*div_factor, self.predictor_field_in + ) def _apply_bcs(self): """ @@ -334,7 +334,7 @@ def transport_fields(self, outer, xstar, xp): # Pre-multiply this variable by (1 - dt*beta*div(u)) V = xstar(name).function_space() field_out = Function(V) - self.predictor_field_in.assign(assemble(self.predictor_interpolate)) + self.predictor_interpolator.interpolate() scheme.apply(field_out, self.predictor_field_in) # xp is xstar plus the increment from the transported predictor @@ -571,17 +571,13 @@ def __init__(self, equation, alpha): constant_jacobian=True ) - self.solver_parameters = mass_parameters(W, equation.domain.spaces) - self.solvers = {} self.solvers["explicit"] = LinearVariationalSolver( explicit_forcing_problem, - solver_parameters=self.solver_parameters, options_prefix="ExplicitForcingSolver" ) self.solvers["implicit"] = LinearVariationalSolver( implicit_forcing_problem, - solver_parameters=self.solver_parameters, options_prefix="ImplicitForcingSolver" ) diff --git a/integration-tests/conftest.py b/integration-tests/conftest.py index 02b1addfc..b0508aae3 100644 --- a/integration-tests/conftest.py +++ b/integration-tests/conftest.py @@ -25,7 +25,7 @@ def tracer_sphere(tmpdir, degree, small_dt): # Parameters chosen so that dt != 1 # Gaussian is translated from (lon=pi/2, lat=0) to (lon=0, lat=0) # to demonstrate that transport is working correctly - if small_dt: + if (small_dt): dt = pi/3. * 0.005 else: dt = pi/3. * 0.02 @@ -47,7 +47,7 @@ def tracer_sphere(tmpdir, degree, small_dt): uexpr, umax, radius, tol) -def tracer_slice(tmpdir, degree, small_dt): +def tracer_slice(tmpdir, degree): n = 30 if degree == 0 else 15 m = PeriodicIntervalMesh(n, 1.) mesh = ExtrudedMesh(m, layers=n, layer_height=1./n) @@ -56,10 +56,7 @@ def tracer_slice(tmpdir, degree, small_dt): # Gaussian is translated by 1.5 times width of domain to demonstrate # that transport is working correctly - if small_dt: - dt = 0.002 - else: - dt = 0.01 + dt = 0.01 tmax = 0.75 output = OutputParameters(dirname=str(tmpdir), dumpfreq=25) domain = Domain(mesh, dt, family="CG", degree=degree) @@ -83,11 +80,8 @@ def tracer_slice(tmpdir, degree, small_dt): return TracerSetup(domain, tmax, io, f_init, f_end, degree, uexpr, tol=tol) -def tracer_blob_slice(tmpdir, degree, small_dt): - if small_dt: - dt = 0.002 - else: - dt = 0.01 +def tracer_blob_slice(tmpdir, degree): + dt = 0.01 L = 10. m = PeriodicIntervalMesh(10, L) mesh = ExtrudedMesh(m, layers=10, layer_height=1.) @@ -111,9 +105,10 @@ def _tracer_setup(tmpdir, geometry, blob=False, degree=1, small_dt=False): assert not blob return tracer_sphere(tmpdir, degree, small_dt) elif geometry == "slice": + assert not small_dt if blob: - return tracer_blob_slice(tmpdir, degree, small_dt) + return tracer_blob_slice(tmpdir, degree) else: - return tracer_slice(tmpdir, degree, small_dt) + return tracer_slice(tmpdir, degree) return _tracer_setup diff --git a/integration-tests/data/boussinesq_compressible_chkpt.h5 b/integration-tests/data/boussinesq_compressible_chkpt.h5 index 2ad2cab9d341907a55e46339ff5e46756fc252b2..a466f1fbe8c095dbae6f2e78f99871b6bd11c82c 100644 GIT binary patch delta 27510 zcma%jc|4U}+qNs;$vTl*ku`ygw{ZE7~xl8a7% z`%8$X9-`s(=F1_t(mZFNh9}7xE|l?vEY>E$f1$Irlz4)W%m~xJpZO(YBr4H_ki%Yo zl`Ke5@)I5_sZ#${B~s?{5oLHKwAxs8?eKf9W&u0tuCK>fa$M&jYOV}y$LBb5IR0#7(O zyo2#SD5lL77FiTNXx12H^dj4|BJ|_9aR7Kv`F5;K{Z4(ek4aId6I+5@}H=aNxq{?C6rvEMP-;g z#!011;}c#KM3m*CN}%~qa~OwH$pZXTF*IC@PXzuo*2G4BDyP4wqBatxAbRYl`o)l3 zTtvlAT#%*e{A=bCukWXt{OjE!?l?we_J7Uf?cw|@rbL|7Dy=Lvx!rm3;Oqr6}>79@X5Ae+@Ix{fIbnhKipa zS8#E`zJhWbyI7r6TkCQY*}p3i&;fk@9$zZ+{bVGqdF{;r#W+S9T-&{`A`6+tm-4eS zk7HGv%CV}$-e@VSIdm_>I5x3lvL4Ksj2=}CeN*2tj*ai#5ahm?g;)&v#G5$BF$tAn zTatk{DtO|UxWGD&g<8j1tlv+W9OJCUcRo 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"u_max = 20. # Maximum amplitude of the zonal wind (m/s)\n", + "uexpr = as_vector([-u_max*x[1]/R, u_max*x[0]/R, 0.0])\n", + "g = parameters.g # acceleration due to gravity (m/s^2)\n", + "Rsq = R**2\n", + "Dexpr = H - ((R * Omega * u_max + 0.5*u_max**2)*x[2]**2/Rsq)/g - bexpr\n", + "\n", + "u0.project(uexpr)\n", + "D0.interpolate(Dexpr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When using the `SemiImplicitQuasiNewton` timestepper, we also have to set up any non-zero reference profiles." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "Dbar = Function(D0.function_space()).assign(H)\n", + "stepper.set_reference_profiles([('D', Dbar)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are almost read to run the model. Before we do so, we have to tape the model in ordem to compute the sensititivities via automated adjoint. Henve, at this point we import ``firedrake.adjoint`` and enable the tape of the forward solver (Shallow Water model) with ``continue_annotation()``." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from firedrake.adjoint import *\n", + "continue_annotation()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are finally ready to run the model!" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO \n", + "INFO ========================================\n", + "INFO at start of timestep 1, t=0.0, dt=900.0\n", + "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO \n", + "INFO ========================================\n", + "INFO at start of timestep 2, t=900.0, dt=900.0\n", + "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO \n", + "INFO ========================================\n", + "INFO at start of timestep 3, t=1800.0, dt=900.0\n", + "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO \n", + "INFO ========================================\n", + "INFO at start of timestep 4, t=2700.0, dt=900.0\n", + "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO \n", + "INFO ========================================\n", + "INFO at start of timestep 5, t=3600.0, dt=900.0\n", + "INFO Semi-implicit Quasi Newton: Explicit forcing\n", + "INFO Semi-implicit Quasi Newton: Transport 0: u\n", + "INFO Semi-implicit Quasi Newton: Transport 0: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (0, 1)\n", + "INFO Semi-implicit Quasi Newton: Transport 1: u\n", + "INFO Semi-implicit Quasi Newton: Transport 1: D\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 0)\n", + "INFO Semi-implicit Quasi Newton: Implicit forcing (1, 1)\n", + "INFO Semi-implicit Quasi Newton: Mixed solve (1, 1)\n", + "INFO TIMELOOP complete. t=4500.00000, tmax=4500.00000\n" + ] + } + ], + "source": [ + "timesteps = 5 \n", + "stepper.run(0., timesteps*dt)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We then compute the final solution of the shallow water solver that is used to compute the cost functional (1) as shown below." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "u = stepper.fields('u') # Final velocity field\n", + "D = stepper.fields('D') # Final depth field\n", + "\n", + "J = assemble(0.5*inner(u, u)*dx + 0.5*g*D**2*dx)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can finally run our sensitivity computation: gradient of the cost function with respect initial fluid depth. The computation of the gradient can be done using the `compute_gradient` function from the `firedrake.adjoint` module. Before, we have to define the control variable." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "control = [Control(D0), Control(u0)]\n", + "grad = compute_gradient(J, control)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also verify the gradient computation with second order [Taylor's test](https://www.dolfin-adjoint.org/en/latest/documentation/verification.html). To do so, we define the reduced functional as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "J_hat = ReducedFunctional(J, control)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We then verify the gradient computation using the `taylor_test` function from the `firedrake.adjoint` module." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "1 perturbations are given but only 2 expansion points are provided", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[15], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m h0 \u001b[38;5;241m=\u001b[39m Function(D0\u001b[38;5;241m.\u001b[39mfunction_space())\u001b[38;5;241m.\u001b[39minterpolate(\u001b[38;5;241m1.\u001b[39m)\n\u001b[1;32m 2\u001b[0m h1 \u001b[38;5;241m=\u001b[39m Function(u0\u001b[38;5;241m.\u001b[39mfunction_space())\u001b[38;5;241m.\u001b[39massign(\u001b[38;5;241m1.\u001b[39m)\n\u001b[0;32m----> 3\u001b[0m \u001b[43mtaylor_test\u001b[49m\u001b[43m(\u001b[49m\u001b[43mJ_hat\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43mD0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mu0\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mFunction\u001b[49m\u001b[43m(\u001b[49m\u001b[43mD0\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfunction_space\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minterpolate\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1.\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/work/firedrake/src/pyadjoint/pyadjoint/verification.py:32\u001b[0m, in \u001b[0;36mtaylor_test\u001b[0;34m(J, m, h, dJdm, Hm)\u001b[0m\n\u001b[1;32m 29\u001b[0m ms \u001b[38;5;241m=\u001b[39m Enlist(m)\n\u001b[1;32m 31\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(hs) \u001b[38;5;241m!=\u001b[39m \u001b[38;5;28mlen\u001b[39m(ms):\n\u001b[0;32m---> 32\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 33\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m%d\u001b[39;00m\u001b[38;5;124m perturbations are given but only \u001b[39m\u001b[38;5;132;01m%d\u001b[39;00m\u001b[38;5;124m expansion points are provided\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m%\u001b[39m (\u001b[38;5;28mlen\u001b[39m(hs), \u001b[38;5;28mlen\u001b[39m(ms)))\n\u001b[1;32m 35\u001b[0m Jm \u001b[38;5;241m=\u001b[39m J(m)\n\u001b[1;32m 36\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m dJdm \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", + "\u001b[0;31mValueError\u001b[0m: 1 perturbations are given but only 2 expansion points are provided" + ] + } + ], + "source": [ + "h0 = Function(D0.function_space()).interpolate(1.)\n", + "h1 = Function(u0.function_space()).assign(1.)\n", + "taylor_test(J_hat, [D0, u0], [h0, h1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That is great! He have a senitivity computation via automated adjoint with Gusto! In addition, we have verified the gradient computation with a second order Taylor's test, which is a good practice to ensure the correctness of the gradient computation. See the results above are close to the expected values, 2.0." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For a notebook demosntration of adjoints, it is a good practice clear the tape, and stop annotating the forward solver." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# tape = get_working_tape()\n", + "# tape.clear_tape()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "firedrake", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/integration-tests/adjoints/test_diffusion.py b/integration-tests/adjoints/test_diffusion.py index 3dd109026..ae1d91d1a 100644 --- a/integration-tests/adjoints/test_diffusion.py +++ b/integration-tests/adjoints/test_diffusion.py @@ -27,7 +27,7 @@ def handle_annotation(): @pytest.mark.parametrize("nu_is_control", [True, False]) -def test_diffusion(nu_is_control, tmpdir): +def test_diffusion_sensitivity(nu_is_control, tmpdir): assert get_working_tape()._blocks == [] n = 30 mesh = PeriodicUnitSquareMesh(n, n) diff --git a/integration-tests/adjoints/test_moist_thermal_williamson_5.py b/integration-tests/adjoints/test_moist_thermal_williamson_5.py index 3e52ec5b7..eaa2484a1 100644 --- a/integration-tests/adjoints/test_moist_thermal_williamson_5.py +++ b/integration-tests/adjoints/test_moist_thermal_williamson_5.py @@ -49,7 +49,7 @@ def handle_annotation(): pause_annotation() -def test_moist_thermal_williamson_5( +def test_moist_thermal_williamson_5_sensitivity( tmpdir, ncells_per_edge=8, dt=600, tmax=50.*24.*60.*60., dumpfreq=2880 ): From 14371fd6eeb43452f8bc35e5ad81554c217789e6 Mon Sep 17 00:00:00 2001 From: Iglesia 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