<OpenGeoSysProject>
  <meshes>
    <mesh>fullCircle_domain.vtu</mesh>
    <mesh>fullCircle_boundary.vtu</mesh>
  </meshes>
  <processes>
    <process>
      <name>HeatConduction</name>
      <type>HEAT_CONDUCTION</type>
      <integration_order>2</integration_order>
      <process_variables>
        <process_variable>temperature</process_variable>
      </process_variables>
      <secondary_variables>
        <secondary_variable internal_name="heat_flux" output_name="heat_flux" />
      </secondary_variables>
    </process>
  </processes>
  <media>
    <medium id="0">
      <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>
          </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>
          </properties>
        </phase>
        <phase>
          <type>Solid</type>
          <properties>
            <property>
              <name>thermal_conductivity</name>
              <type>Constant</type>
              <value>0.6</value>
            </property>
            <property>
              <name>specific_heat_capacity</name>
              <type>Constant</type>
              <value>2000</value>
            </property>
            <property>
              <name>density</name>
              <type>Constant</type>
              <value>1030</value>
            </property>
          </properties>
        </phase>
      </phases>
      <properties>
        <property>
          <name>porosity</name>
          <type>Constant</type>
          <value>0.2</value>
        </property>
        <property>
          <name>volume_fraction</name>
          <type>TemperatureDependentFraction</type>
          <steepness>1</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>specific_heat_capacity</name>
          <type>SpecificHeatCapacityWithLatentHeat</type>
          <specific_latent_heat>334000</specific_latent_heat>
        </property>
      </properties>
    </medium>
  </media>
  <parameters>
    <parameter>
      <name>T0</name>
      <type>Constant</type>
      <value>255.15</value>
    </parameter>
    <parameter>
      <name>TB</name>
      <type>Constant</type>
      <value>278.15</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>fullCircle_boundary</mesh>
          <type>Dirichlet</type>
          <parameter>TB</parameter>
        </boundary_condition>
      </boundary_conditions>
    </process_variable>
  </process_variables>
  <time_loop>
    <processes>
      <process ref="HeatConduction">
        <nonlinear_solver>basic_picard</nonlinear_solver>
        <convergence_criterion>
          <type>DeltaX</type>
          <norm_type>NORM2</norm_type>
          <abstol>6.e-2</abstol>
        </convergence_criterion>
        <time_discretization>
          <type>BackwardEuler</type>
        </time_discretization>
        <time_stepping>
          <type>FixedTimeStepping</type>
          <t_initial>0.0</t_initial>
          <t_end>18000</t_end>
          <timesteps>
            <pair>
              <repeat>200</repeat>
              <delta_t>90</delta_t>
            </pair>
          </timesteps>
        </time_stepping>
      </process>
    </processes>
    <output>
      <type>VTK</type>
      <prefix>circle_disk</prefix>
      <timesteps>
        <pair>
          <repeat>10000</repeat>
          <each_steps>1</each_steps>
        </pair>
      </timesteps>
      <variables>
        <variable>temperature</variable>
        <variable>heat_flux</variable>
      </variables>
      <suffix>ts{:timestep}_t_{:time}</suffix>
    </output>
  </time_loop>
  <nonlinear_solvers>
    <nonlinear_solver>
      <name>basic_picard</name>
      <type>Picard</type>
      <max_iter>20</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>CG</solver_type>
        <precon_type>DIAGONAL</precon_type>
        <max_iteration_step>10000</max_iteration_step>
        <error_tolerance>1e-16</error_tolerance>
      </eigen>
    </linear_solver>
  </linear_solvers>
  <test_definition>
    <vtkdiff>
      <file>circle_disk_ts_12_t_1080.000000.vtu</file>
      <field>temperature</field>
      <absolute_tolerance>2e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <file>circle_disk_ts_200_t_18000.000000.vtu</file>
      <field>temperature</field>
      <absolute_tolerance>2e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <file>circle_disk_ts_12_t_1080.000000.vtu</file>
      <field>heat_flux</field>
      <absolute_tolerance>1e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <file>circle_disk_ts_200_t_18000.000000.vtu</file>
      <field>heat_flux</field>
      <absolute_tolerance>1e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
  </test_definition>
</OpenGeoSysProject>