diff --git a/ProcessLib/LiquidFlow/Tests.cmake b/ProcessLib/LiquidFlow/Tests.cmake
index 5f06a0792dc390902be5d89b58966f72eb636c9f..4c24bf2798891be75de85e50baaa09d837520df1 100644
--- a/ProcessLib/LiquidFlow/Tests.cmake
+++ b/ProcessLib/LiquidFlow/Tests.cmake
@@ -535,3 +535,30 @@ if (NOT (OGS_USE_MPI))
OgsTest(PROJECTFILE Parabolic/LiquidFlow/SimpleSynthetics/PrimaryVariableConstraintDirichletBC/cuboid_1x1x1_hex_1000_Dirichlet_Dirichlet_3.prj)
OgsTest(PROJECTFILE Parabolic/LiquidFlow/SimpleSynthetics/FunctionParameterTest.prj)
endif()
+
+# inclined mesh
+AddTest(
+ NAME LiquidFlow_HydrostaticFlowInInclined_2D_Plane
+ PATH Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh
+ EXECUTABLE ogs
+ EXECUTABLE_ARGS hydrostatic_flow_in_inclined_2D_plane.prj
+ WRAPPER time
+ TESTER vtkdiff
+ REQUIREMENTS NOT OGS_USE_MPI
+ DIFF_DATA
+ hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu pressure pressure 1e-07 1e-13
+ hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu v v 1e-14 1e-14
+)
+
+AddTest(
+ NAME LiquidFlow_TransientFlowInInclined_2D_Plane
+ PATH Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh
+ EXECUTABLE ogs
+ EXECUTABLE_ARGS transient_flow_in_inclined_2D_plane.prj
+ WRAPPER time
+ TESTER vtkdiff
+ REQUIREMENTS NOT OGS_USE_MPI
+ DIFF_DATA
+ transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu pressure pressure 1e-14 1e-11
+ transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu v v 1e-14 1e-14
+)
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_bottom.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_bottom.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..5fb53842d111391399c02fa19084d205d1aa93ec
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_bottom.vtu
@@ -0,0 +1,24 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="11" NumberOfCells="10" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="1" RangeMax="31" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="20" RangeMax="468" offset="124" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1.1180339887" offset="236" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="596" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="816" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="928" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _WAAAAAIAAAAAAAAAHwAAAAAAAAAeAAAAAAAAAB0AAAAAAAAAHAAAAAAAAAAbAAAAAAAAABkAAAAAAAAAGAAAAAAAAAAXAAAAAAAAABoAAAAAAAAAAQAAAAAAAAA=UAAAANQBAAAAAAAAygAAAAAAAAA2AAAAAAAAAJYBAAAAAAAAFAAAAAAAAADPAAAAAAAAAK8BAAAAAAAASAAAAAAAAAAOAQAAAAAAACEAAAAAAAAACAEAAAAAAAAAAOA/AAAAAAAA4D+uTFjoerbrvwAAAAAAAOA/HIaZmZmZ2T+uTFjoerbrvwAAAAAAAOA/JQwzMzMz0z+uTFjoerbrvwAAAAAAAOA/giSZmZmZyT+uTFjoerbrvwAAAAAAAOA/RmGYmZmZuT+uTFjoerbrvwAAAAAAAOA/+P///381eL2uTFjoerbrvwAAAAAAAOA/sg6amZmZyb+uTFjoerbrvwAAAAAAAOA/QVozMzMz07+uTFjoerbrvwAAAAAAAOA/GK2ZmZmZ2b+uTFjoerbrvwAAAAAAAOA/CtKamZmZub+uTFjoerbrvwAAAAAAAOA/AAAAAAAA4L+uTFjoerbrvw==oAAAAAoAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAcAAAAAAAAABwAAAAAAAAAGAAAAAAAAAAYAAAAAAAAACQAAAAAAAAAJAAAAAAAAAAUAAAAAAAAABQAAAAAAAAAEAAAAAAAAAAQAAAAAAAAAAwAAAAAAAAADAAAAAAAAAAIAAAAAAAAAAgAAAAAAAAABAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAA=UAAAAAIAAAAAAAAABAAAAAAAAAAGAAAAAAAAAAgAAAAAAAAACgAAAAAAAAAMAAAAAAAAAA4AAAAAAAAAEAAAAAAAAAASAAAAAAAAABQAAAAAAAAACgAAAAMDAwMDAwMDAwM=
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_left.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_left.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..ffa847120301dd853a3606b17d7418188b3716b0
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_left.vtu
@@ -0,0 +1,24 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="11" NumberOfCells="10" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="59" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="52" RangeMax="461" offset="124" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1.1180339887" offset="236" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="596" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="816" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="928" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _WAAAADMAAAAAAAAANQAAAAAAAAA2AAAAAAAAADcAAAAAAAAAOAAAAAAAAAA5AAAAAAAAADoAAAAAAAAANAAAAAAAAAA7AAAAAAAAAAMAAAAAAAAAAAAAAAAAAAA=UAAAAMwBAAAAAAAAFAEAAAAAAAB4AAAAAAAAAKMBAAAAAAAAjAAAAAAAAAA0AAAAAAAAAKIBAAAAAAAAdwAAAAAAAAAVAQAAAAAAAM0BAAAAAAAACAEAAAAAAAAAAOC/GK2ZmZmZ2T+uTFjoerbrPwAAAAAAAOC/sg6amZmZyT+uTFjoerbrPwAAAAAAAOC/CtKamZmZuT+uTFjoerbrPwAAAAAAAOC/+P///381eD2uTFjoerbrPwAAAAAAAOC/RmGYmZmZub+uTFjoerbrPwAAAAAAAOC/giSZmZmZyb+uTFjoerbrPwAAAAAAAOC/JQwzMzMz07+uTFjoerbrPwAAAAAAAOC/QVozMzMz0z+uTFjoerbrPwAAAAAAAOC/HIaZmZmZ2b+uTFjoerbrPwAAAAAAAOC/AAAAAAAA4D+uTFjoerbrPwAAAAAAAOC/AAAAAAAA4L+uTFjoerbrPw==oAAAAAoAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAYAAAAAAAAABgAAAAAAAAAFAAAAAAAAAAUAAAAAAAAABAAAAAAAAAAEAAAAAAAAAAMAAAAAAAAAAwAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAQAAAAAAAAABAAAAAAAAAAcAAAAAAAAABwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAA=UAAAAAIAAAAAAAAABAAAAAAAAAAGAAAAAAAAAAgAAAAAAAAACgAAAAAAAAAMAAAAAAAAAA4AAAAAAAAAEAAAAAAAAAASAAAAAAAAABQAAAAAAAAACgAAAAMDAwMDAwMDAwM=
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_right.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_right.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..5fb53842d111391399c02fa19084d205d1aa93ec
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_right.vtu
@@ -0,0 +1,24 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="11" NumberOfCells="10" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="1" RangeMax="31" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="20" RangeMax="468" offset="124" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1.1180339887" offset="236" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="596" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="816" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="928" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _WAAAAAIAAAAAAAAAHwAAAAAAAAAeAAAAAAAAAB0AAAAAAAAAHAAAAAAAAAAbAAAAAAAAABkAAAAAAAAAGAAAAAAAAAAXAAAAAAAAABoAAAAAAAAAAQAAAAAAAAA=UAAAANQBAAAAAAAAygAAAAAAAAA2AAAAAAAAAJYBAAAAAAAAFAAAAAAAAADPAAAAAAAAAK8BAAAAAAAASAAAAAAAAAAOAQAAAAAAACEAAAAAAAAACAEAAAAAAAAAAOA/AAAAAAAA4D+uTFjoerbrvwAAAAAAAOA/HIaZmZmZ2T+uTFjoerbrvwAAAAAAAOA/JQwzMzMz0z+uTFjoerbrvwAAAAAAAOA/giSZmZmZyT+uTFjoerbrvwAAAAAAAOA/RmGYmZmZuT+uTFjoerbrvwAAAAAAAOA/+P///381eL2uTFjoerbrvwAAAAAAAOA/sg6amZmZyb+uTFjoerbrvwAAAAAAAOA/QVozMzMz07+uTFjoerbrvwAAAAAAAOA/GK2ZmZmZ2b+uTFjoerbrvwAAAAAAAOA/CtKamZmZub+uTFjoerbrvwAAAAAAAOA/AAAAAAAA4L+uTFjoerbrvw==oAAAAAoAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAcAAAAAAAAABwAAAAAAAAAGAAAAAAAAAAYAAAAAAAAACQAAAAAAAAAJAAAAAAAAAAUAAAAAAAAABQAAAAAAAAAEAAAAAAAAAAQAAAAAAAAAAwAAAAAAAAADAAAAAAAAAAIAAAAAAAAAAgAAAAAAAAABAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAA=UAAAAAIAAAAAAAAABAAAAAAAAAAGAAAAAAAAAAgAAAAAAAAACgAAAAAAAAAMAAAAAAAAAA4AAAAAAAAAEAAAAAAAAAASAAAAAAAAABQAAAAAAAAACgAAAAMDAwMDAwMDAwM=
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_top.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_top.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..ffa847120301dd853a3606b17d7418188b3716b0
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/geometry_top.vtu
@@ -0,0 +1,24 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="11" NumberOfCells="10" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="59" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="52" RangeMax="461" offset="124" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1.1180339887" offset="236" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="596" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="816" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="928" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _WAAAADMAAAAAAAAANQAAAAAAAAA2AAAAAAAAADcAAAAAAAAAOAAAAAAAAAA5AAAAAAAAADoAAAAAAAAANAAAAAAAAAA7AAAAAAAAAAMAAAAAAAAAAAAAAAAAAAA=UAAAAMwBAAAAAAAAFAEAAAAAAAB4AAAAAAAAAKMBAAAAAAAAjAAAAAAAAAA0AAAAAAAAAKIBAAAAAAAAdwAAAAAAAAAVAQAAAAAAAM0BAAAAAAAACAEAAAAAAAAAAOC/GK2ZmZmZ2T+uTFjoerbrPwAAAAAAAOC/sg6amZmZyT+uTFjoerbrPwAAAAAAAOC/CtKamZmZuT+uTFjoerbrPwAAAAAAAOC/+P///381eD2uTFjoerbrPwAAAAAAAOC/RmGYmZmZub+uTFjoerbrPwAAAAAAAOC/giSZmZmZyb+uTFjoerbrPwAAAAAAAOC/JQwzMzMz07+uTFjoerbrPwAAAAAAAOC/QVozMzMz0z+uTFjoerbrPwAAAAAAAOC/HIaZmZmZ2b+uTFjoerbrPwAAAAAAAOC/AAAAAAAA4D+uTFjoerbrPwAAAAAAAOC/AAAAAAAA4L+uTFjoerbrPw==oAAAAAoAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAYAAAAAAAAABgAAAAAAAAAFAAAAAAAAAAUAAAAAAAAABAAAAAAAAAAEAAAAAAAAAAMAAAAAAAAAAwAAAAAAAAACAAAAAAAAAAIAAAAAAAAAAQAAAAAAAAABAAAAAAAAAAcAAAAAAAAABwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAA=UAAAAAIAAAAAAAAABAAAAAAAAAAGAAAAAAAAAAgAAAAAAAAACgAAAAAAAAAMAAAAAAAAAA4AAAAAAAAAEAAAAAAAAAASAAAAAAAAABQAAAAAAAAACgAAAAMDAwMDAwMDAwM=
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane.prj b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane.prj
new file mode 100644
index 0000000000000000000000000000000000000000..77184ce0bdd113eaa9df51a87ad8d31cc6208df4
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane.prj
@@ -0,0 +1,159 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <mesh>inclined_2D_mesh.vtu</mesh>
+ <geometry>plane_r.gml</geometry>
+ <processes>
+ <process>
+ <name>LiquidFlow</name>
+ <type>LIQUID_FLOW</type>
+ <integration_order>2</integration_order>
+ <process_variables>
+ <process_variable>pressure</process_variable>
+ </process_variables>
+ <specific_body_force>0 0 -9.8</specific_body_force>
+ <secondary_variables>
+ <secondary_variable internal_name="darcy_velocity" output_name="v"/>
+ </secondary_variables>
+ </process>
+ </processes>
+ <media>
+ <medium>
+ <phases>
+ <phase>
+ <type>AqueousLiquid</type>
+ <properties>
+ <property>
+ <name>viscosity</name>
+ <type>Constant</type>
+ <value> 1.e-3 </value>
+ </property>
+ <property>
+ <name>density</name>
+ <type>Constant</type>
+ <value> 1.e3 </value>
+ </property>
+ </properties>
+ </phase>
+ </phases>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Parameter</type>
+ <parameter_name>k</parameter_name>
+ </property>
+ <property>
+ <name>reference_temperature</name>
+ <type>Constant</type>
+ <value>293.15</value>
+ </property>
+ <property>
+ <name>porosity</name>
+ <type>Constant</type>
+ <value>0.2</value>
+ </property>
+ <property>
+ <name>storage</name>
+ <type>Constant</type>
+ <value> 0.0e-10 </value>
+ </property>
+ </properties>
+ </medium>
+ </media>
+ <time_loop>
+ <processes>
+ <process ref="LiquidFlow">
+ <nonlinear_solver>basic_picard</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstol>1.e-6</abstol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial> 0.0 </t_initial>
+ <t_end> 1 </t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>hydrostatic_flow_in_inclined_2D_plane</prefix>
+ <timesteps>
+ <pair>
+ <repeat> 1 </repeat>
+ <each_steps> 1 </each_steps>
+ </pair>
+ </timesteps>
+ <variables>
+ <variable> pressure </variable>
+ <variable> v </variable>
+ </variables>
+ <suffix>_ts_t_{:time}</suffix>
+ </output>
+ </time_loop>
+ <parameters>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <values>1.e-12 0.0 0.0 5.e-12 </values>
+ </parameter>
+ <parameter>
+ <name>p0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>p_top</name>
+ <type>Constant</type>
+ <value>1.0e+5</value>
+ </parameter>
+ </parameters>
+ <process_variables>
+ <process_variable>
+ <name>pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>p0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <type>Dirichlet</type>
+ <mesh>geometry_top</mesh>
+ <parameter>p_top</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>basic_picard</name>
+ <type>Picard</type>
+ <max_iter>10</max_iter>
+ <linear_solver>general_linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>general_linear_solver</name>
+ <lis>-i cg -p jacobi -tol 1e-20 -maxiter 10000</lis>
+ <eigen>
+ <solver_type>CG</solver_type>
+ <precon_type>DIAGONAL</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-20</error_tolerance>
+ </eigen>
+ <petsc>
+ <prefix>lf</prefix>
+ <parameters>-lf_ksp_type cg -lf_pc_type bjacobi -lf_ksp_rtol 1e-16 -lf_ksp_max_it 10000</parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..46a373bc1c4218714d554b6f1503fa0b581883b5
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/hydrostatic_flow_in_inclined_2D_plane_ts_t_1.000000.vtu
@@ -0,0 +1,29 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor">
+ <UnstructuredGrid>
+ <FieldData>
+ <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45" RangeMax="121" offset="0" />
+ </FieldData>
+ <Piece NumberOfPoints="287" NumberOfCells="512" >
+ <PointData>
+ <DataArray type="Float64" Name="HydraulicFlow" format="appended" RangeMin="-0.00055982459718" RangeMax="0.00036086188319" offset="92" />
+ <DataArray type="Float64" Name="pressure" format="appended" RangeMin="100000" RangeMax="1797409.7914" offset="1400" />
+ <DataArray type="Float64" Name="v" NumberOfComponents="3" format="appended" RangeMin="1.9198292432e-20" RangeMax="1.3147815517e-18" offset="4136" />
+ </PointData>
+ <CellData>
+ <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0" RangeMax="0" offset="11724" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="3.9550130975" RangeMax="111.80339887" offset="11800" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="19200" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="22916" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="24060" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ 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+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/inclined_2D_mesh.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/inclined_2D_mesh.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..3f617ea72217a6d518bdf750ca7376ded1245872
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/inclined_2D_mesh.vtu
@@ -0,0 +1,23 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="287" NumberOfCells="512" >
+ <PointData>
+ </PointData>
+ <CellData>
+ <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0" RangeMax="0" offset="0" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="3.9550130975" RangeMax="111.80339887" offset="2736" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="11928" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="28320" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="33788" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
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+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/plane_r.gml b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/plane_r.gml
new file mode 100644
index 0000000000000000000000000000000000000000..1f1f75bc505fb471111f25c1738769042391f217
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/plane_r.gml
@@ -0,0 +1,22 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<?xml-stylesheet type="text/xsl" href="OpenGeoSysGLI.xsl"?>
+
+<OpenGeoSysGLI xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ogs="http://www.opengeosys.org">
+ <name>geometry</name>
+ <points>
+ <point id="0" x="-50" y="-50" z="86.60254037844386"/>
+ <point id="1" x="50" y="-50" z="-86.60254037844386"/>
+ <point id="2" x="50" y="50" z="-86.60254037844386"/>
+ <point id="3" x="-50" y="50" z="86.60254037844386"/>
+ </points>
+ <polylines>
+ <polyline id="0" name="top">
+ <pnt>0</pnt>
+ <pnt>3</pnt>
+ </polyline>
+ <polyline id="0" name="bottom">
+ <pnt>1</pnt>
+ <pnt>2</pnt>
+ </polyline>
+ </polylines>
+</OpenGeoSysGLI>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane.prj b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane.prj
new file mode 100644
index 0000000000000000000000000000000000000000..94061785920f8e9eff45aa08b012be5bc429426f
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane.prj
@@ -0,0 +1,177 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <mesh>inclined_2D_mesh.vtu</mesh>
+ <geometry>plane_r.gml</geometry>
+ <processes>
+ <process>
+ <name>LiquidFlow</name>
+ <type>LIQUID_FLOW</type>
+ <integration_order>2</integration_order>
+ <process_variables>
+ <process_variable>pressure</process_variable>
+ </process_variables>
+ <specific_body_force>0 0 -9.8</specific_body_force>
+ <secondary_variables>
+ <secondary_variable internal_name="darcy_velocity" output_name="v"/>
+ </secondary_variables>
+ </process>
+ </processes>
+ <media>
+ <medium>
+ <phases>
+ <phase>
+ <type>AqueousLiquid</type>
+ <properties>
+ <property>
+ <name>viscosity</name>
+ <type>Constant</type>
+ <value> 1.e-3 </value>
+ </property>
+ <property>
+ <name>density</name>
+ <type>Linear</type>
+ <reference_value>1000.0</reference_value>
+ <independent_variable>
+ <variable_name>phase_pressure
+ </variable_name>
+ <reference_condition>1e5
+ </reference_condition>
+ <slope>4.6511627906976743356e-10
+ </slope>
+ </independent_variable>
+ </property>
+ </properties>
+ </phase>
+ </phases>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Parameter</type>
+ <parameter_name>k</parameter_name>
+ </property>
+ <property>
+ <name>reference_temperature</name>
+ <type>Constant</type>
+ <value>293.15</value>
+ </property>
+ <property>
+ <name>porosity</name>
+ <type>Constant</type>
+ <value>0.2</value>
+ </property>
+ <property>
+ <name>storage</name>
+ <type>Constant</type>
+ <value> 1.0e-10 </value>
+ </property>
+ </properties>
+ </medium>
+ </media>
+ <time_loop>
+ <processes>
+ <process ref="LiquidFlow">
+ <nonlinear_solver>basic_picard</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstol>1.e-6</abstol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial> 0.0 </t_initial>
+ <t_end> 864000 </t_end>
+ <timesteps>
+ <pair>
+ <repeat>10</repeat>
+ <delta_t>86400</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>transient_flow_in_inclined_2D_plane</prefix>
+ <timesteps>
+ <pair>
+ <repeat> 5 </repeat>
+ <each_steps> 2 </each_steps>
+ </pair>
+ </timesteps>
+ <variables>
+ <variable> pressure </variable>
+ <variable> v </variable>
+ </variables>
+ <suffix>_ts_t_{:time}</suffix>
+ </output>
+ </time_loop>
+ <parameters>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <values>1.e-12 0.0 0.0 5.e-12 </values>
+ </parameter>
+ <parameter>
+ <name>p0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>p_top</name>
+ <type>Constant</type>
+ <value>1.0e+5</value>
+ </parameter>
+ <parameter>
+ <name>p_bottom</name>
+ <type>Constant</type>
+ <value>1.0e+6</value>
+ </parameter>
+ </parameters>
+ <process_variables>
+ <process_variable>
+ <name>pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>p0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <type>Dirichlet</type>
+ <mesh>geometry_top</mesh>
+ <parameter>p_top</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <type>Dirichlet</type>
+ <mesh>geometry_bottom</mesh>
+ <parameter>p_bottom</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>basic_picard</name>
+ <type>Picard</type>
+ <max_iter>10</max_iter>
+ <linear_solver>general_linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>general_linear_solver</name>
+ <lis>-i cg -p jacobi -tol 1e-20 -maxiter 10000</lis>
+ <eigen>
+ <solver_type>CG</solver_type>
+ <precon_type>DIAGONAL</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-20</error_tolerance>
+ </eigen>
+ <petsc>
+ <prefix>lf</prefix>
+ <parameters>-lf_ksp_type cg -lf_pc_type bjacobi -lf_ksp_rtol 1e-16 -lf_ksp_max_it 10000</parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..38342def82aa3a6051af446fb95c3b2581df86c3
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/InclinedMeshElements/Inclined2DMesh/transient_flow_in_inclined_2D_plane_ts_t_864000.000000.vtu
@@ -0,0 +1,29 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor">
+ <UnstructuredGrid>
+ <FieldData>
+ <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45" RangeMax="121" offset="0" />
+ </FieldData>
+ <Piece NumberOfPoints="287" NumberOfCells="512" >
+ <PointData>
+ <DataArray type="Float64" Name="HydraulicFlow" format="appended" RangeMin="-3.988832396e-05" RangeMax="3.9888411869e-05" offset="92" />
+ <DataArray type="Float64" Name="pressure" format="appended" RangeMin="100000" RangeMax="1000000" offset="2060" />
+ <DataArray type="Float64" Name="v" NumberOfComponents="3" format="appended" RangeMin="3.9887280152e-06" RangeMax="3.9889218347e-06" offset="4844" />
+ </PointData>
+ <CellData>
+ <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0" RangeMax="0" offset="12412" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="3.9550130975" RangeMax="111.80339887" offset="12488" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="19888" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="23604" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="24748" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
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