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<?xml version='1.0' encoding='utf-8'?>
<fluidity_options>
<simulation_name>
<string_value lines="1">hyperc-shear</string_value>
</simulation_name>
<problem_type>
<string_value lines="1">fluids</string_value>
</problem_type>
<geometry>
<dimension>
<integer_value rank="0">2</integer_value>
</dimension>
<mesh name="CoordinateMesh">
<from_file file_name="2d_square">
<format name="triangle"/>
<stat>
<include_in_stat/>
</stat>
</from_file>
</mesh>
<mesh name="VelocityMesh">
<from_mesh>
<mesh name="CoordinateMesh"/>
<stat>
<exclude_from_stat/>
</stat>
</from_mesh>
</mesh>
<mesh name="PressureMesh">
<from_mesh>
<mesh name="CoordinateMesh"/>
<stat>
<exclude_from_stat/>
</stat>
</from_mesh>
</mesh>
<quadrature>
<degree>
<integer_value rank="0">1</integer_value>
</degree>
<controlvolume_surface_degree>
<integer_value rank="0">1</integer_value>
</controlvolume_surface_degree>
</quadrature>
</geometry>
<io>
<dump_format>
<string_value>vtk</string_value>
</dump_format>
<dump_period_in_timesteps>
<constant>
<integer_value rank="0">125</integer_value>
</constant>
</dump_period_in_timesteps>
<output_mesh name="PressureMesh"/>
<checkpointing>
<checkpoint_period_in_dumps>
<integer_value rank="0">2</integer_value>
<comment>10</comment>
</checkpoint_period_in_dumps>
<checkpoint_at_start/>
<checkpoint_at_end/>
</checkpointing>
<stat>
<output_at_start/>
</stat>
</io>
<timestepping>
<current_time>
<real_value rank="0">0.0</real_value>
</current_time>
<timestep>
<real_value rank="0">0.00427561316453</real_value>
<comment>this is overwritten by the adaptive timestepping but roughly corresponds to a cfl of 0.1</comment>
</timestep>
<finish_time>
<real_value rank="0">15.512558773625283</real_value>
<comment>corresponds to 4020 timesteps (looks like half of Rudman)</comment>
</finish_time>
<final_timestep>
<integer_value rank="0">250</integer_value>
</final_timestep>
</timestepping>
<physical_parameters/>
<material_phase name="Material1">
<vector_field name="Velocity" rank="1">
<prescribed>
<mesh name="VelocityMesh"/>
<value name="WholeMesh">
<python>
<string_value lines="20" type="code" language="python">def val(X,t):
from math import sin, cos
# Shear rotation about origin.
return (sin(X[0])*cos(X[1]), -1.0*cos(X[0])*sin(X[1]))</string_value>
</python>
</value>
<output/>
<stat>
<include_in_stat/>
</stat>
<detectors>
<exclude_from_detectors/>
</detectors>
<enforce_discrete_properties>
<solenoidal>
<interpolated_field>
<discontinuous>
<lump_mass_matrix/>
</discontinuous>
</interpolated_field>
<lagrange_multiplier>
<mesh name="PressureMesh"/>
<spatial_discretisation>
<control_volumes/>
</spatial_discretisation>
<solver>
<iterative_method name="cg"/>
<preconditioner name="sor"/>
<relative_error>
<real_value rank="0">1.E-10</real_value>
</relative_error>
<max_iterations>
<integer_value rank="0">10000</integer_value>
</max_iterations>
<never_ignore_solver_failures/>
<diagnostics>
<monitors/>
</diagnostics>
</solver>
</lagrange_multiplier>
</solenoidal>
</enforce_discrete_properties>
</prescribed>
</vector_field>
<scalar_field name="ControlVolumeCFLNumber" rank="0">
<diagnostic>
<algorithm name="Internal" material_phase_support="multiple"/>
<mesh name="PressureMesh"/>
<output/>
<stat/>
<convergence>
<include_in_convergence/>
</convergence>
<detectors>
<include_in_detectors/>
</detectors>
<steady_state>
<include_in_steady_state/>
</steady_state>
</diagnostic>
</scalar_field>
<scalar_field name="TracerBeta1" rank="0">
<prognostic>
<mesh name="PressureMesh"/>
<equation name="AdvectionDiffusion"/>
<spatial_discretisation>
<control_volumes>
<face_value name="HyperC">
<project_upwind_value_from_point>
<reflect_off_domain_boundaries/>
<bound_projected_value_locally/>
<store_upwind_elements/>
</project_upwind_value_from_point>
<courant_number name="ControlVolumeCFLNumber"/>
</face_value>
<diffusion_scheme name="ElementGradient"/>
</control_volumes>
<conservative_advection>
<real_value rank="0">1.0</real_value>
</conservative_advection>
</spatial_discretisation>
<temporal_discretisation>
<theta>
<real_value rank="0">0.0</real_value>
</theta>
<control_volumes>
<pivot_theta>
<real_value rank="0">0.0</real_value>
</pivot_theta>
</control_volumes>
</temporal_discretisation>
<explicit/>
<initial_condition name="WholeMesh">
<python>
<string_value lines="20" type="code" language="python">def val(X,t):
from math import sqrt, pi
xc = pi/2
yc = 0.2*(1.0+pi)
dx1 = X[0]-xc
dx2 = X[1]-yc
r=sqrt(dx1*dx1+dx2*dx2)
if (r<=(pi/5)):
return 1.0
else:
return 0.0</string_value>
</python>
</initial_condition>
<boundary_conditions name="keep_it_all_in">
<surface_ids>
<integer_value shape="4" rank="1">7 8 9 10</integer_value>
</surface_ids>
<type name="zero_flux"/>
</boundary_conditions>
<output/>
<stat>
<include_cv_stats/>
<include_mixing_stats name="Mixing">
<control_volumes/>
<mixing_bin_bounds>
<constant>
<real_value shape="9" rank="1">-1.0 -1.E-8 1.E-8 0.025 0.5 0.975 0.99999999 1.00000001 2.0</real_value>
</constant>
</mixing_bin_bounds>
<tolerance>
<real_value rank="0">0.0</real_value>
</tolerance>
</include_mixing_stats>
</stat>
<convergence>
<include_in_convergence/>
</convergence>
<detectors>
<include_in_detectors/>
</detectors>
<steady_state>
<include_in_steady_state/>
</steady_state>
<galerkin_projection>
<continuous>
<bounded name="Diffuse">
<boundedness_iterations>
<integer_value rank="0">20000</integer_value>
</boundedness_iterations>
</bounded>
<solver>
<iterative_method name="cg"/>
<preconditioner name="sor"/>
<relative_error>
<real_value rank="0">1.E-10</real_value>
</relative_error>
<max_iterations>
<integer_value rank="0">10000</integer_value>
</max_iterations>
<never_ignore_solver_failures/>
<diagnostics>
<monitors/>
</diagnostics>
</solver>
</continuous>
</galerkin_projection>
<priority>
<integer_value rank="0">5</integer_value>
</priority>
</prognostic>
</scalar_field>
<scalar_field name="TracerBeta0" rank="0">
<prognostic>
<mesh name="PressureMesh"/>
<equation name="AdvectionDiffusion"/>
<spatial_discretisation>
<control_volumes>
<face_value name="HyperC">
<project_upwind_value_from_point>
<reflect_off_domain_boundaries/>
<bound_projected_value_locally/>
<store_upwind_elements/>
</project_upwind_value_from_point>
<courant_number name="ControlVolumeCFLNumber"/>
</face_value>
<diffusion_scheme name="ElementGradient"/>
</control_volumes>
<conservative_advection>
<real_value rank="0">0.0</real_value>
</conservative_advection>
</spatial_discretisation>
<temporal_discretisation>
<theta>
<real_value rank="0">0.0</real_value>
</theta>
<control_volumes>
<pivot_theta>
<real_value rank="0">0.0</real_value>
</pivot_theta>
</control_volumes>
</temporal_discretisation>
<explicit/>
<initial_condition name="WholeMesh">
<python>
<string_value lines="20" type="code" language="python">def val(X,t):
from math import sqrt, pi
xc = pi/2
yc = 0.2*(1.0+pi)
dx1 = X[0]-xc
dx2 = X[1]-yc
r=sqrt(dx1*dx1+dx2*dx2)
if (r<=(pi/5)):
return 1.0
else:
return 0.0</string_value>
</python>
</initial_condition>
<boundary_conditions name="keep_it_all_in">
<surface_ids>
<integer_value shape="4" rank="1">7 8 9 10</integer_value>
</surface_ids>
<type name="zero_flux"/>
</boundary_conditions>
<output/>
<stat>
<include_cv_stats/>
<include_mixing_stats name="Mixing">
<control_volumes/>
<mixing_bin_bounds>
<constant>
<real_value shape="9" rank="1">-1.0 -1.E-8 1.E-8 0.025 0.5 0.975 0.99999999 1.00000001 2.0</real_value>
</constant>
</mixing_bin_bounds>
<tolerance>
<real_value rank="0">0.0</real_value>
</tolerance>
</include_mixing_stats>
</stat>
<convergence>
<include_in_convergence/>
</convergence>
<detectors>
<include_in_detectors/>
</detectors>
<steady_state>
<include_in_steady_state/>
</steady_state>
<galerkin_projection>
<continuous>
<bounded name="Diffuse">
<boundedness_iterations>
<integer_value rank="0">20000</integer_value>
</boundedness_iterations>
</bounded>
<solver>
<iterative_method name="cg"/>
<preconditioner name="sor"/>
<relative_error>
<real_value rank="0">1.E-10</real_value>
</relative_error>
<max_iterations>
<integer_value rank="0">10000</integer_value>
</max_iterations>
<never_ignore_solver_failures/>
<diagnostics>
<monitors/>
</diagnostics>
</solver>
</continuous>
</galerkin_projection>
<priority>
<integer_value rank="0">5</integer_value>
</priority>
</prognostic>
</scalar_field>
<scalar_field name="ControlVolumeDivergence" rank="0">
<diagnostic field_name="Velocity">
<algorithm name="Internal" material_phase_support="multiple"/>
<mesh name="PressureMesh"/>
<output/>
<stat/>
<convergence>
<include_in_convergence/>
</convergence>
<detectors>
<include_in_detectors/>
</detectors>
<steady_state>
<include_in_steady_state/>
</steady_state>
</diagnostic>
</scalar_field>
<scalar_field name="ScalarAbsoluteDifference" rank="0">
<diagnostic field_name_b="TracerBeta0" field_name_a="TracerBeta1">
<algorithm name="Internal" material_phase_support="multiple"/>
<mesh name="PressureMesh"/>
<output/>
<stat/>
<convergence>
<include_in_convergence/>
</convergence>
<detectors>
<include_in_detectors/>
</detectors>
<steady_state>
<include_in_steady_state/>
</steady_state>
</diagnostic>
</scalar_field>
</material_phase>
<mesh_adaptivity>
<mesh_movement>
<imposed_grid_velocity/>
<vector_field name="GridVelocity" rank="1">
<prescribed>
<mesh name="CoordinateMesh"/>
<value name="WholeMesh">
<python>
<string_value lines="20" type="code" language="python">def val(X,t):
from math import sin, cos
# Shear rotation about origin.
dt = 0.00427561316453
ltime = 250*dt
scale = (ltime-t)/ltime
return (sin(X[0])*cos(X[1])*scale, -1.0*cos(X[0])*sin(X[1])*scale)</string_value>
</python>
</value>
<output/>
<stat>
<include_in_stat/>
</stat>
<detectors>
<exclude_from_detectors/>
</detectors>
</prescribed>
</vector_field>
</mesh_movement>
</mesh_adaptivity>
</fluidity_options>
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