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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">bdfm1-nonlinear</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="channel">
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<format name="triangle"/>
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<integer_value rank="0">2</integer_value>
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<mesh name="VelocityMesh">
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<mesh name="PeriodicMesh"/>
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<integer_value rank="0">2</integer_value>
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<string_value>discontinuous</string_value>
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<string_value>BDFM</string_value>
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<iterative_method name="preonly"/>
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<preconditioner name="lu"/>
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<real_value rank="0">1.0e-50</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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<mesh name="PressureMesh">
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<mesh name="PeriodicMesh"/>
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<integer_value rank="0">1</integer_value>
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<string_value>discontinuous</string_value>
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<mesh name="VorticityMesh">
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<mesh name="PeriodicMesh"/>
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<integer_value rank="0">2</integer_value>
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<string_value>bubble</string_value>
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<string_value>continuous</string_value>
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<mesh name="PeriodicMesh">
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<mesh name="CoordinateMesh"/>
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<integer_value rank="0">1</integer_value>
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<periodic_boundary_conditions name="EndsMeet">
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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="code" language="python">def val(X,t):
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result[0]=result[0]-6.283185307179586
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return result</string_value>
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</periodic_boundary_conditions>
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<periodic_boundary_conditions name="TopBot">
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<physical_boundary_ids>
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<integer_value shape="1" rank="1">3</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">4</integer_value>
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</aliased_boundary_ids>
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<string_value lines="20" type="code" language="python">def val(X,t):
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result[1]=result[1]-6.283185307179586
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return result</string_value>
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</periodic_boundary_conditions>
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<integer_value rank="0">8</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">10</integer_value>
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</dump_period_in_timesteps>
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<output_mesh name="VelocityMesh"/>
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<real_value rank="0">0.0</real_value>
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<real_value rank="0">0.03141592653589793</real_value>
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<real_value rank="0">0.55</real_value>
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<nonlinear_iterations>
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<integer_value rank="0">4</integer_value>
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</nonlinear_iterations>
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<real_value rank="0">3.141592653589793</real_value>
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<comment>mode is sin(x+y) therefore |k| =|(1,1)|=2.
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therefore, omega = 2, and time period = 2\pi/2 = \pi.</comment>
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<physical_parameters>
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<real_value rank="0">1.0</real_value>
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<comment>4*pi**2</comment>
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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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<string_value lines="20" type="code" language="python">def val(X,t):
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return 0.</string_value>
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<comment>2*pi</comment>
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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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</spatial_discretisation>
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<temporal_discretisation>
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<real_value rank="0">0.5</real_value>
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<discontinuous_galerkin>
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<maximum_courant_number_per_subcycle>
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<real_value rank="0">0.1</real_value>
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</maximum_courant_number_per_subcycle>
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</discontinuous_galerkin>
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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">1.0e-7</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="3" dim1="dim" rank="1">0. 0. 0.</real_value>
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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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<discontinuous_galerkin>
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<exclude_advection_terms/>
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<slope_limiter name="Vertex_Based"/>
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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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<temporal_discretisation>
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<discontinuous_galerkin>
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<maximum_courant_number_per_subcycle>
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<real_value rank="0">0.1</real_value>
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</maximum_courant_number_per_subcycle>
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</discontinuous_galerkin>
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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">1.0e-7</real_value>
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<integer_value rank="0">2000</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="code" language="python">def val(X,t):
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return eps*sin(x+y)</string_value>
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<mean_layer_thickness>
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<real_value rank="0">1.0</real_value>
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<comment>using a nondimensionalisation</comment>
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</mean_layer_thickness>
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<consistent_interpolation/>
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<scalar_field name="PotentialVorticity" rank="0">
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<mesh name="VorticityMesh"/>
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<spatial_discretisation>
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<continuous_galerkin/>
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</spatial_discretisation>
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<iterative_method name="gmres">
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<integer_value rank="0">40</integer_value>
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<preconditioner name="sor"/>
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<real_value rank="0">1.0e-8</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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<scalar_field name="Streamfunction" rank="0">
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<string_value lines="20" type="code" language="python">def val(X,t):
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from math import exp, pi, sin
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deltaQ = (1.0/pi)*(y-pi)*exp(-2*(y-pi)**2)*(1.0+0.1*sin(2*x))
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return 1.0/(1.0+deltaQ)</string_value>
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<zero_bubble_component/>
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<mesh name="VorticityMesh"/>
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<scalar_field name="DG_CourantNumber" rank="0">
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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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<scalar_field name="StreamfunctionIn" rank="0">
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<mesh name="PeriodicMesh"/>
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<value name="WholeMesh">
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<string_value lines="20" type="code" language="python">def val(X,t):
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from math import exp, pi, sin
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deltaQ = (1.0/pi)*(y-pi)*exp(-2*(y-pi)**2)*(1.0+0.1*sin(2*x))
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return 1.0/(1.0+deltaQ)</string_value>
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<exclude_from_detectors/>
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<check_inverse_coriolis_matrix/>
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</shallow_water_options>
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tests/bdfm1-nonlinear/bdfm1-wavetest.swml
