 <OpenGeoSysProject>

   <meshes>

     <mesh>Slab_RectMesh_fine.vtu</mesh>

     <mesh>Slab_RectMesh_fine_0.vtu</mesh>

     <mesh>Slab_RectMesh_fine_1.vtu</mesh>

     <mesh>Slab_RectMesh_fine_2.vtu</mesh>

     <mesh>Slab_RectMesh_fine_3.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="4">

       <phases>

         <phase>

           <type>AqueousLiquid</type>

           <properties>

             <property>

               <name>thermal_conductivity</name>

               <type>Constant</type>

               <value>0.58</value>

             </property>

             <property>

               <name>specific_heat_capacity</name>

               <type>Constant</type>

               <value>4190</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>2.2</value>

             </property>

             <property>

               <name>specific_heat_capacity</name>

               <type>Constant</type>

               <value>2090</value>

             </property>

             <property>

               <name>density</name>

               <type>Constant</type>

               <value>920</value>

             </property>

           </properties>

         </phase>

         <phase>

           <type>Solid</type>

           <properties>

             <property>

               <name>thermal_conductivity</name>

               <type>Constant</type>

               <value>1.1</value>

             </property>

             <property>

               <name>specific_heat_capacity</name>

               <type>Constant</type>

               <value>900</value>

             </property>

             <property>

               <name>density</name>

               <type>Constant</type>

               <value>2000</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>specific_heat_capacity</name>

           <type>SpecificHeatCapacityWithLatentHeat</type>

           <specific_latent_heat>334000</specific_latent_heat>

         </property>

       </properties>

     </medium>

   </media>

   <parameters>

     <parameter>

       <name>T0</name>

       <type>Function</type>

       <expression>if (x < 0.01756080686, 308.15-82.94603542*erf(0.3733021733*sqrt(3600)*x), 263.15+11.99859445*erfc(0.1298443988*sqrt(3600)*x+0.0118965517))</expression>

     </parameter>

     <parameter>

       <name>T1l</name>

       <type>Constant</type>

       <value>308.15</value>

     </parameter>

     <parameter>

       <name>T1r</name>

       <type>Function</type>

       <expression>263.15+11.99859445*erfc(1869.759342/sqrt(t)+0.0118965517)</expression>

     </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>Slab_RectMesh_fine_0</mesh>

           <type>Dirichlet</type>

           <parameter>T1l</parameter>

         </boundary_condition>

         <boundary_condition>

           <mesh>Slab_RectMesh_fine_1</mesh>

           <type>Dirichlet</type>

           <parameter>T1r</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>1.e-8</abstol>

         </convergence_criterion>

         <time_discretization>

           <type>BackwardEuler</type>

         </time_discretization>

         <time_stepping>

           <type>FixedTimeStepping</type>

           <t_initial>3600</t_initial>

           <t_end>7200</t_end>

           <timesteps>

             <pair>

               <repeat>100</repeat>

               <delta_t>36</delta_t>

             </pair>

           </timesteps>

         </time_stepping>

       </process>

     </processes>

     <output>

       <type>VTK</type>

       <prefix>Slab_melting_T-plot</prefix>

       <timesteps>

         <pair>

           <repeat>10000</repeat>

           <each_steps>10</each_steps>

         </pair>

       </timesteps>

       <variables>

         <variable>temperature</variable>

         <variable>heat_flux</variable>

       </variables>

       <suffix>ts{:timestep}_t_{:gtime}_sec</suffix>

     </output>

   </time_loop>

   <nonlinear_solvers>

     <nonlinear_solver>

       <name>basic_picard</name>

       <type>Picard</type>

       <max_iter>200</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>

         <precon_type>DIAGONAL</precon_type>

       </eigen>

     </linear_solver>

   </linear_solvers>

   <test_definition>

     <vtkdiff>

       <file>Slab_melting_T-plot_ts_0_t_3600_sec.vtu</file>

       <field>temperature</field>

       <absolute_tolerance>1e-8</absolute_tolerance>

       <relative_tolerance>0</relative_tolerance>

     </vtkdiff>

     <vtkdiff>

       <file>Slab_melting_T-plot_ts_100_t_7200_sec.vtu</file>

       <field>temperature</field>

       <absolute_tolerance>1e-8</absolute_tolerance>

       <relative_tolerance>0</relative_tolerance>

     </vtkdiff>

   </test_definition>

 </OpenGeoSysProject>