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<?xml version='1.0' encoding='utf-8'?>
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<shallow_water_options>
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<string_value lines="1">wave_A</string_value>
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<integer_value rank="0">3</integer_value>
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<mesh name="CoordinateMesh">
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<from_file file_name="src/mesh_A">
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<format name="triangle"/>
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<integer_value rank="0">1</integer_value>
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<mesh name="VelocityMesh">
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<mesh name="PeriodicMesh"/>
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<string_value>discontinuous</string_value>
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<mesh name="PressureMesh">
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<mesh name="PeriodicMesh"/>
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<integer_value rank="0">2</integer_value>
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<mesh name="PeriodicMesh">
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<mesh name="CoordinateMesh"/>
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<periodic_boundary_conditions name="periodicity">
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<physical_boundary_ids>
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<integer_value shape="1" rank="1">1</integer_value>
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</physical_boundary_ids>
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<aliased_boundary_ids>
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<integer_value shape="1" rank="1">2</integer_value>
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</aliased_boundary_ids>
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<string_value lines="20" type="python">def val(X,t):
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result[0]=result[0]-1.0
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return result</string_value>
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</periodic_boundary_conditions>
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<integer_value rank="0">4</integer_value>
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<string_value>vtk</string_value>
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<dump_period_in_timesteps>
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<integer_value rank="0">1</integer_value>
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</dump_period_in_timesteps>
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<output_mesh name="CoordinateMesh"/>
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<real_value rank="0">0</real_value>
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<real_value rank="0">0.25</real_value>
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<nonlinear_iterations>
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<integer_value rank="0">1</integer_value>
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</nonlinear_iterations>
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<real_value rank="0">1</real_value>
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<real_value rank="0">1</real_value>
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<vector_field name="GravityDirection" rank="1">
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<mesh name="CoordinateMesh"/>
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<value name="WholeMesh">
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<real_value shape="3" dim1="dim" rank="1">0 0 -1</real_value>
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<exclude_from_detectors/>
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</physical_parameters>
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<material_phase name="Fluid">
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<vector_field name="Velocity" rank="1">
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<mesh name="VelocityMesh"/>
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<equation name="ShallowWater"/>
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<spatial_discretisation>
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<discontinuous_galerkin>
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</discontinuous_galerkin>
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<conservative_advection>
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<real_value rank="0">0</real_value>
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</conservative_advection>
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</spatial_discretisation>
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<iterative_method name="preonly"/>
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<preconditioner name="lu"/>
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<real_value rank="0">1e-07</real_value>
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<integer_value rank="0">500</integer_value>
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<never_ignore_solver_failures/>
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<initial_condition name="WholeMesh">
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<string_value lines="20" type="python">def val(X, t):
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import shallow_water_optimisation_revolve as constants
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return constants.u_exact(X[0], 0.0)</string_value>
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</previous_time_step>
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<include_in_convergence/>
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<include_in_detectors/>
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<include_in_steady_state/>
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<consistent_interpolation/>
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<scalar_field name="LayerThickness" rank="0">
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<mesh name="PressureMesh"/>
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<spatial_discretisation>
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<continuous_galerkin>
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<exclude_advection_terms/>
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</continuous_galerkin>
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<conservative_advection>
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<real_value rank="0">0</real_value>
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</conservative_advection>
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</spatial_discretisation>
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<temporal_discretisation>
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<real_value rank="0">0.5</real_value>
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<real_value rank="0">1</real_value>
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</temporal_discretisation>
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<iterative_method name="preonly"/>
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<preconditioner name="lu"/>
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<real_value rank="0">1e-07</real_value>
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<integer_value rank="0">500</integer_value>
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<never_ignore_solver_failures/>
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<cache_solver_context/>
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<initial_condition name="WholeMesh">
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<string_value lines="20" type="python">def val(X, t):
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import shallow_water_optimisation_revolve as constants
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#return constants.eta_exact(X[0], 0.0)
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# Instead of prescribing the exact eta we will optimise to it
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return 1.0</string_value>
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<mean_layer_thickness>
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<real_value rank="0">1</real_value>
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</mean_layer_thickness>
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<consistent_interpolation/>
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<scalar_field name="AnalyticalLayerThickness" rank="0">
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<mesh name="PressureMesh"/>
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<value name="WholeMesh">
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<string_value lines="20" type="python">def val(X,t):
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import shallow_water_optimisation_revolve as constants
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return constants.eta_exact(x, t)</string_value>
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<exclude_from_detectors/>
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<scalar_field name="LayerThicknessError" rank="0">
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<algorithm source_field_2_type="scalar" name="scalar_difference" source_field_1_name="LayerThickness" source_field_2_name="AnalyticalLayerThickness" material_phase_support="single" source_field_1_type="scalar">
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<absolute_difference/>
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<mesh name="PressureMesh"/>
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<include_in_convergence/>
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<include_in_detectors/>
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<include_in_steady_state/>
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<vector_field name="AnalyticalVelocity" rank="1">
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<mesh name="VelocityMesh"/>
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<value name="WholeMesh">
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<string_value lines="20" type="python">def val(X,t):
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import shallow_water_optimisation_revolve as constants
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return constants.u_exact(x, t)</string_value>
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<exclude_from_detectors/>
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<vector_field name="VelocityError" rank="1">
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<algorithm source_field_2_type="vector" name="vector_difference" source_field_1_name="Velocity" source_field_2_name="AnalyticalVelocity" material_phase_support="single" source_field_1_type="vector">
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<absolute_difference/>
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<mesh name="VelocityMesh"/>
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<include_in_convergence/>
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<include_in_detectors/>
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<include_in_steady_state/>
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<max_memory_checkpoints>
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<integer_value rank="0">5</integer_value>
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</max_memory_checkpoints>
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<max_disk_checkpoints>
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<integer_value rank="0">0</integer_value>
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</max_disk_checkpoints>
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<functional name="integral_eta_t1">
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<algorithm name="functional_value">
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<string_value lines="20" type="python">J = 0.0
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T1 = 0.5 # the time at which to evaluate
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T2 = 1.0 # the time at which to evaluate
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if time < T1 <= time+dt:
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elif time < T2 <= time+dt:
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if time < T <= time+dt:
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eta_prev = states[n-1]["Fluid"].scalar_fields["LayerThickness"]
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eta = states[n]["Fluid"].scalar_fields["LayerThickness"]
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eta_exact_prev = states[n-1]["Fluid"].scalar_fields["AnalyticalLayerThickness"]
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eta_exact = states[n]["Fluid"].scalar_fields["AnalyticalLayerThickness"]
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# We want to temporally interpolate to evaluate eta at t=1.0
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alpha = (time + dt - T) / dt
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assert 0 <= alpha < 1
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tmp_eta = alpha * (eta_prev.val - eta_exact_prev.val) + (1-alpha) * (eta.val - eta_exact.val)
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# Now we want to integrate that over space
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coord = states[0]["Fluid"].vector_fields["Coordinate"]
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assert eta.element_count == eta_prev.element_count == coord.element_count
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for ele in range(coord.element_count):
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t = Transform(ele, coord)
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shape = eta_prev.ele_shape(ele)
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mass = t.shape_shape(shape, shape)
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nodes = eta_prev.ele_nodes(ele)
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J = J + numpy.dot(tmp_eta[nodes], numpy.dot(mass, tmp_eta[nodes]))</string_value>
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<functional_dependencies>
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<algorithm name="functional_dependencies">
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<string_value lines="20" type="python">def dependencies(times, timestep):
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if times[0] < 0.5 <= times[1] or times[0] < 1.0 <= times[1]:
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return {"Fluid::Coordinate": [0],
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"Fluid::LayerThickness": [timestep-1, timestep],
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"Fluid::AnalyticalLayerThickness": [timestep-1, timestep]
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return {}</string_value>
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</functional_dependencies>
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<control name="InitEta">
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<type field_name="Fluid::LayerThickness" name="initial_condition"/>
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</shallow_water_options>
added
removed
tests/shallow_water_optimisation_revolve/adjoint_A.swml
