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<?xml version='1.0' encoding='utf-8'?>
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<string_value lines="1">darcy_p0p1_test_cty_cv_pressBCinlet_2d</string_value>
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<comment>a simple short test case for darcy flow using the element type p0p1_test_cty_cv for velocity-pressure
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the darcy velocity is solved for then the tracer is advected using a CV scheme on a continuous mesh.
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it compares the pressure gradient against the analytic, as well as checking that the interstitial velocity is correct
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the darcy flow equation is
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sigma*darcy_vel = - grad P
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where darcy_vel = porosity*interstitial_velocity
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sigma is a function of viscosity and permeability
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python diagnostics are used to form the sigma term that is assoicated with a p0 dg mesh (ie. element wise) and the interstitial velocity
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this case has a 1 region 1 material with pressure boundary condition inflow.
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to get a darcy equation the time, stress and advection terms are not included in a bousinessq formulation (to avoid needing to specify a density). Ideally it would be better to actually have a darcy momentum option to simplify the input.
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the absorption term is included in the pressure correction (being a necessity as it is the only term in the matrix equation)
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the geometry is 2d (although this is a 1d problem)
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NOTE: Because the velocity and pressure are time independent the simulation is broken into two.
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First the velocity and pressure are solved and checkpointed.
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Second the tracer is advected using a prescribed velocity from the previous checkpointed run.</comment>
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<string_value lines="1">fluids</string_value>
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<integer_value rank="0">2</integer_value>
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<mesh name="CoordinateMesh">
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<from_file file_name="steptwochannel">
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<mesh name="VelocityMesh">
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<mesh name="CoordinateMesh"/>
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<integer_value rank="0">0</integer_value>
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<string_value>discontinuous</string_value>
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<mesh name="PressureMesh">
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<mesh name="CoordinateMesh"/>
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<mesh name="CoordinateMesh"/>
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<integer_value rank="0">0</integer_value>
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<string_value>discontinuous</string_value>
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<integer_value rank="0">3</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">0</integer_value>
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</dump_period_in_timesteps>
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<output_mesh name="VelocityMesh"/>
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<checkpoint_period_in_dumps>
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<integer_value rank="0">1000</integer_value>
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</checkpoint_period_in_dumps>
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<real_value rank="0">0.0</real_value>
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<real_value rank="0">0.1</real_value>
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<real_value rank="0">9.0</real_value>
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<integer_value rank="0">1</integer_value>
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<material_phase name="fluid">
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<scalar_field name="Pressure" 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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<test_continuity_with_cv_dual/>
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</continuous_galerkin>
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</spatial_discretisation>
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<poisson_pressure_solution>
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<string_value lines="1">never</string_value>
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</poisson_pressure_solution>
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<use_projection_method/>
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<update_discretised_equation/>
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<iterative_method name="gmres">
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<integer_value rank="0">30</integer_value>
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<preconditioner name="sor"/>
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<real_value rank="0">1.0e-10</real_value>
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<integer_value rank="0">1000</integer_value>
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<never_ignore_solver_failures/>
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<boundary_conditions name="right_outflow">
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<integer_value shape="1" rank="1">8</integer_value>
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<type name="dirichlet">
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<real_value rank="0">0.0</real_value>
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</boundary_conditions>
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<boundary_conditions name="left_inflow">
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<integer_value shape="2" rank="1">10 100</integer_value>
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<type name="dirichlet">
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<real_value rank="0">1.5e+09</real_value>
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</boundary_conditions>
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<include_in_convergence/>
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<exclude_from_detectors/>
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<include_in_steady_state/>
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<vector_field name="Velocity" rank="1">
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<mesh name="VelocityMesh"/>
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<equation name="Boussinesq"/>
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<spatial_discretisation>
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<discontinuous_galerkin>
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<exclude_mass_terms/>
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<compact_discontinuous_galerkin/>
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<integrate_advection_by_parts>
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</integrate_advection_by_parts>
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</discontinuous_galerkin>
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<conservative_advection>
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<real_value rank="0">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">1.0</real_value>
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<real_value rank="0">1.0</real_value>
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</temporal_discretisation>
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<iterative_method name="gmres">
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<integer_value rank="0">30</integer_value>
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<preconditioner name="sor"/>
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<real_value rank="0">1.0e-10</real_value>
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<integer_value rank="0">1000</integer_value>
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<never_ignore_solver_failures/>
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<initial_condition name="WholeMesh">
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<real_value shape="2" dim1="dim" rank="1">0.0 0.0</real_value>
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<boundary_conditions name="no_outflow_top_bottom">
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<integer_value shape="2" rank="1">7 9</integer_value>
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<type name="dirichlet">
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<align_bc_with_cartesian>
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<real_value rank="0">0.0</real_value>
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</align_bc_with_cartesian>
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</boundary_conditions>
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<vector_field name="Absorption" rank="1">
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<algorithm name="vector_python_diagnostic" material_phase_support="multiple">
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<string_value lines="20" type="python"># get the prescribed fields
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perm = states["fluid"].scalar_fields["Permeability"]
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visc = states["fluid"].scalar_fields["Viscosity"]
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# loop the DMmesh_p0 nodes (which are element centred)
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for n in range(field.node_count):
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perm_n = perm.node_val(n)
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visc_n = visc.node_val(n)
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# calc the absorption term
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sigma_n = visc_n/perm_n
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# set the absorption term
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field.set(n,sigma_n)</string_value>
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<comment>this assumes that the porosity, absorption, permeability, and viscosity are defined on a p0 dg mesh (ie. element wise) such that the number of nodes is also the number of elements
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also assume that the velocity is dg</comment>
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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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<include_pressure_correction/>
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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="Viscosity" rank="0">
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<value name="WholeMesh">
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<real_value rank="0">1.0e-04</real_value>
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<exclude_from_detectors/>
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<scalar_field name="ControlVolumeDivergence" rank="0">
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<diagnostic field_name="Velocity">
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<algorithm name="Internal" material_phase_support="multiple"/>
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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="InterstitialVelocity" rank="1">
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<algorithm name="vector_python_diagnostic" material_phase_support="multiple">
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<string_value lines="20" type="python">phi = states["fluid"].scalar_fields["Porosity"]
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darcy_vel = states["fluid"].vector_fields["Velocity"]
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for ele in range(field.element_count):
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phi_ele = phi.node_val(ele)
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factor_ele = 1.0/max(phi_ele,1.0e-08)
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for i in range(len(darcy_vel.ele_val(ele))):
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vel_ele.append(factor_ele*darcy_vel.ele_val(ele)[i])
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field.set(darcy_vel.ele_nodes(ele),vel_ele)</string_value>
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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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<scalar_field name="Porosity">
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<value name="left_bottom">
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<integer_value shape="1" rank="1">11</integer_value>
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<real_value rank="0">0.1</real_value>
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<value name="right_bottom">
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<integer_value shape="1" rank="1">12</integer_value>
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<real_value rank="0">0.4</real_value>
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<value name="left_top">
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<integer_value shape="1" rank="1">13</integer_value>
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<real_value rank="0">0.2</real_value>
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<value name="right_top">
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<integer_value shape="1" rank="1">14</integer_value>
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<real_value rank="0">0.2</real_value>
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<exclude_from_detectors/>
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<scalar_field name="Permeability">
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<value name="WholeMesh">
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<real_value rank="0">1.0e-10</real_value>
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<exclude_from_detectors/>
added
removed
tests/darcy_p0p1_test_cty_cv_pressBCinlet_advect_tracer_p1cv_steptwochannel/darcy_p0p1_test_cty_cv_pressBCinlet_2d.flml
