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OGS
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OGS
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<OpenGeoSysProject>
<meshes>
<mesh>mesh.vtu</mesh>
<mesh>mesh_left.vtu</mesh>
<mesh>mesh_right.vtu</mesh>
</meshes>
<processes>
<process>
<name>HeatConduction</name>
<type>THERMO_HYDRO_MECHANICS</type>
<integration_order>2</integration_order>
<constitutive_relation>
<type>LinearElasticIsotropic</type>
<youngs_modulus>E</youngs_modulus>
<poissons_ratio>nu</poissons_ratio>
</constitutive_relation>
<ice_constitutive_relation>
<type>LinearElasticIsotropic</type>
<youngs_modulus>E_ice</youngs_modulus>
<poissons_ratio>nu_ice</poissons_ratio>
</ice_constitutive_relation>
<process_variables>
<temperature>temperature</temperature>
<pressure>pressure</pressure>
<displacement>displacement</displacement>
</process_variables>
<specific_body_force>0 0</specific_body_force>
<secondary_variables>
<secondary_variable internal_name="sigma" output_name="sigma" />
<secondary_variable internal_name="epsilon" output_name="epsilon" />
<secondary_variable internal_name="velocity" output_name="velocity" />
</secondary_variables>
</process>
</processes>
<media>
<medium>
<phases>
<phase>
<type>AqueousLiquid</type>
<properties>
<property>
<name>thermal_conductivity</name>
<type>Constant</type>
<value>0.54</value>
</property>
<property>
<name>specific_heat_capacity</name>
<type>Constant</type>
<value>4186</value>
</property>
<property>
<name>density</name>
<type>Constant</type>
<value>1000</value>
</property>
<property>
<name>viscosity</name>
<type>Constant</type>
<value>1.0e-3</value>
</property>
</properties>
</phase>
<phase>
<type>FrozenLiquid</type>
<properties>
<property>
<name>thermal_conductivity</name>
<type>Constant</type>
<value>2.37</value>
</property>
<property>
<name>specific_heat_capacity</name>
<type>Constant</type>
<value>2052</value>
</property>
<property>
<name>density</name>
<type>Constant</type>
<value>900</value>
</property>
<property>
<name>specific_latent_heat</name>
<type>Constant</type>
<value>334000</value>
</property>
<property>
<name>thermal_expansivity</name>
<type>Constant</type>
<value>0</value>
</property>
<property>
<name>phase_change_expansivity</name>
<type>Constant</type>
<value>0</value>
</property>
</properties>
</phase>
<phase>
<type>Solid</type>
<properties>
<property>
<name>thermal_conductivity</name>
<type>Constant</type>
<value>0</value>
</property>
<property>
<name>specific_heat_capacity</name>
<type>Constant</type>
<value>0</value>
</property>
<property>
<name>density</name>
<type>Constant</type>
<value>0</value>
</property>
<property>
<name>thermal_expansivity</name>
<type>Constant</type>
<value>0</value>
</property>
</properties>
</phase>
</phases>
<properties>
<property>
<name>porosity</name>
<type>Constant</type>
<value>1.0</value>
</property>
<property>
<name>volume_fraction</name>
<type>TemperatureDependentFraction</type>
<steepness>5</steepness>
<characteristic_temperature>273.15</characteristic_temperature>
</property>
<property>
<name>density</name>
<type>VolumeFractionAverage</type>
</property>
<property>
<name>thermal_conductivity</name>
<type>VolumeFractionAverage</type>
</property>
<property>
<name>biot_coefficient</name>
<type>Constant</type>
<value>0.0</value>
</property>
<property>
<name>permeability</name>
<type>Constant</type>
<value>1.e-11</value>
</property>
</properties>
</medium>
</media>
<parameters>
<parameter>
<name>E</name>
<type>Constant</type>
<value>1e10</value>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<value>.3</value>
</parameter>
<parameter>
<name>E_ice</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>nu_ice</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>T0</name>
<type>Constant</type>
<value>272.25</value>
</parameter>
<parameter>
<name>TB</name>
<type>Constant</type>
<value>373.15</value>
</parameter>
<parameter>
<name>U0</name>
<type>Constant</type>
<values>0 0</values>
</parameter>
<parameter>
<name>zero</name>
<type>Constant</type>
<value>0</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>temperature</name>
<components>1</components>
<order>1</order>
<initial_condition>T0</initial_condition>
<boundary_conditions>
<boundary_condition>
<mesh>mesh_right</mesh>
<type>Dirichlet</type>
<parameter>T0</parameter>
</boundary_condition>
<boundary_condition>
<mesh>mesh_left</mesh>
<type>Dirichlet</type>
<parameter>TB</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
<process_variable>
<name>pressure</name>
<components>1</components>
<order>1</order>
<initial_condition>zero</initial_condition>
<boundary_conditions>
<boundary_condition>
<mesh>mesh</mesh>
<type>Dirichlet</type>
<parameter>zero</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
<process_variable>
<name>displacement</name>
<components>2</components>
<order>1</order>
<initial_condition>U0</initial_condition>
<boundary_conditions>
<boundary_condition>
<mesh>mesh</mesh>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<mesh>mesh</mesh>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<time_loop>
<processes>
<process ref="HeatConduction">
<nonlinear_solver>NLS</nonlinear_solver>
<convergence_criterion>
<type>PerComponentResidual</type>
<norm_type>NORM2</norm_type>
<abstols>1e-10 1e-16 1e-16 1e-16</abstols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial>0.0</t_initial>
<t_end>427000000</t_end>
<timesteps>
<pair>
<repeat>427</repeat>
<delta_t>1e6</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>Stefan_problem</prefix>
<timesteps>
<pair>
<repeat>10000</repeat>
<each_steps>1</each_steps>
</pair>
</timesteps>
<variables>
<variable>temperature</variable>
<variable>heat_flux</variable>
<variable>HeatFlowRate</variable>
</variables>
<suffix>ts{:timestep}_t_{:time}</suffix>
</output>
</time_loop>
<nonlinear_solvers>
<nonlinear_solver>
<name>NLS</name>
<type>Newton</type>
<max_iter>500</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<eigen>
<solver_type>SparseLU</solver_type>
<scaling>true</scaling>
</eigen>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<file>Stefan_problem_ts_46_t_46000000.000000.vtu</file>
<field>temperature</field>
<absolute_tolerance>2e-11</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>Stefan_problem_ts_427_t_427000000.000000.vtu</file>
<field>temperature</field>
<absolute_tolerance>7e-11</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>Stefan_problem_ts_46_t_46000000.000000.vtu</file>
<field>HeatFlowRate</field>
<absolute_tolerance>1e-10</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>Stefan_problem_ts_427_t_427000000.000000.vtu</file>
<field>HeatFlowRate</field>
<absolute_tolerance>1e-10</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>
1.12.0