diff --git a/ProcessLib/HeatConduction/Tests.cmake b/ProcessLib/HeatConduction/Tests.cmake
index c773ddd63386074776e2fd7bd7006fb7b58d3944..a9f63a7f22f25ce260b637ef8d893099b16ed863 100644
--- a/ProcessLib/HeatConduction/Tests.cmake
+++ b/ProcessLib/HeatConduction/Tests.cmake
@@ -142,13 +142,20 @@ AddTest(
         wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu square_1e2_axi_ts_2_t_2.000000.vtu heat_flux heat_flux 1.7e-5 1e-5
     REQUIREMENTS NOT OGS_USE_MPI
 )
-# # WEDGE 1x1 HEATCONDUCTION TEST -- computes reference results for the above test
-# AddTest(
-#      NAME 2D_HeatConduction_wedge
-#      PATH Parabolic/T/2D_axially_symmetric
-#      EXECUTABLE ogs
-#      EXECUTABLE_ARGS wedge_1e2_axi_ang_0.02.prj
-# )
+
+# WEDGE 1x1 HEATCONDUCTION TEST -- computes reference results for the above
+# 2D_HeatConduction_axi test
+AddTest(
+    NAME 2D_HeatConduction_wedge
+    PATH Parabolic/T/2D_axially_symmetric
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS wedge_1e2_axi_ang_0.02.prj
+    TESTER vtkdiff
+    DIFF_DATA
+    wedge_ang_0.02_ts_2_t_2.000000.vtu wedge_ang_0.02_ts_2_t_2.000000.vtu temperature temperature 1.7e-5 1e-5
+    wedge_ang_0.02_ts_2_t_2.000000.vtu wedge_ang_0.02_ts_2_t_2.000000.vtu heat_flux heat_flux 1.7e-5 1e-5
+    REQUIREMENTS NOT OGS_USE_MPI
+)
 
 # The 25 BHE array benchmark
 # test results are compared to 2D simulation result
diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj
index 881e1290656e346642296cbf0a34fd86f02bf231..969f67589e1759672dfb04558f5750a38318e9bd 100644
--- a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj
+++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj
@@ -19,11 +19,6 @@
         <medium id="0">
             <phases/>
             <properties>
-                <property>
-                    <name>density</name>
-                    <type>Constant</type>
-                    <value>2.0</value>
-                </property>
                 <property>
                     <name>thermal_conductivity</name>
                     <type>Constant</type>
@@ -34,6 +29,11 @@
                     <type>Constant</type>
                     <value>1</value>
                 </property>
+                <property>
+                    <name>density</name>
+                    <type>Constant</type>
+                    <value>2.0</value>
+                </property>
             </properties>
         </medium>
     </media>
@@ -52,7 +52,7 @@
                 <time_stepping>
                     <type>FixedTimeStepping</type>
                     <t_initial> 0.0 </t_initial>
-                    <t_end> 10.0 </t_end>
+                    <t_end> 2.0 </t_end>
                     <timesteps>
                         <pair>
                             <repeat>1</repeat>
@@ -68,7 +68,7 @@
             <timesteps>
                 <pair>
                     <repeat> 1 </repeat>
-                    <each_steps> 1 </each_steps>
+                    <each_steps> 2 </each_steps>
                 </pair>
             </timesteps>
             <variables>
diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu
index 82024b2a158f952362ed601e726d75c2ff248e23..5d22379a1783d0bc56e632bd278e8f8bdff20570 100644
--- a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu
+++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu
@@ -2,30 +2,68 @@
 <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"                   />
+      <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45"                   RangeMax="121"                  offset="0"                   >
+      </DataArray>
     </FieldData>
     <Piece NumberOfPoints="121"                  NumberOfCells="100"                 >
       <PointData>
-        <DataArray type="Float64" Name="D1_left_bottom_N1_right" format="appended" RangeMin="1"                    RangeMax="1.6753144833"         offset="92"                  />
-        <DataArray type="Float64" Name="HeatFlowRate" format="appended" RangeMin="-0.2351800407"        RangeMax="0.5412505295"         offset="1236"                />
-        <DataArray type="Float64" Name="Linear_1_to_minus1" format="appended" RangeMin="-1"                   RangeMax="1"                    offset="2588"                />
-        <DataArray type="Float64" Name="heat_flux" NumberOfComponents="2" format="appended" RangeMin="0.34938450892"        RangeMax="1.0051420911"         offset="2716"                />
-        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="0"                    RangeMax="0.69387794795"        offset="5212"                />
+        <DataArray type="Float64" Name="HeatFlowRate" format="appended" RangeMin="-0.00043368846559"    RangeMax="0.0008999400012"      offset="92"                  >
+        </DataArray>
+        <DataArray type="Float64" Name="heat_flux" NumberOfComponents="3" format="appended" RangeMin="0.34933725275"        RangeMax="1.0019098568"         offset="1036"                >
+          <InformationKey name="L2_NORM_RANGE" location="vtkDataArray" length="2">
+            <Value index="0">
+              0.34933725275
+            </Value>
+            <Value index="1">
+              1.0019098568
+            </Value>
+          </InformationKey>
+          <InformationKey name="L2_NORM_FINITE_RANGE" location="vtkDataArray" length="2">
+            <Value index="0">
+              0.34933725275
+            </Value>
+            <Value index="1">
+              1.0019098568
+            </Value>
+          </InformationKey>
+        </DataArray>
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="0"                    RangeMax="0.69421802207"        offset="4728"                >
+        </DataArray>
+        <DataArray type="Int64" IdType="1" Name="vtkOriginalPointIds" format="appended" RangeMin="0"                    RangeMax="220"                  offset="5988"                />
       </PointData>
       <CellData>
-        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="6452"                />
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="6324"                >
+        </DataArray>
+        <DataArray type="Int64" IdType="1" Name="vtkOriginalCellIds" format="appended" RangeMin="1"                    RangeMax="208"                  offset="6388"                />
       </CellData>
       <Points>
-        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="1.4142135624"         offset="6516"                />
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="1.4142135624"         offset="6692"                >
+          <InformationKey name="L2_NORM_FINITE_RANGE" location="vtkDataArray" length="2">
+            <Value index="0">
+              0
+            </Value>
+            <Value index="1">
+              1.4142135624
+            </Value>
+          </InformationKey>
+          <InformationKey name="L2_NORM_RANGE" location="vtkDataArray" length="2">
+            <Value index="0">
+              0
+            </Value>
+            <Value index="1">
+              1.4142135624
+            </Value>
+          </InformationKey>
+        </DataArray>
       </Points>
       <Cells>
-        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="7052"                />
-        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="7776"                />
-        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="8084"                />
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="7236"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="7936"                />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="8244"                />
       </Cells>
     </Piece>
   </UnstructuredGrid>
   <AppendedData encoding="base64">
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diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_ang_0.02_ts_2_t_2.000000.vtu b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_ang_0.02_ts_2_t_2.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..87b12146336ea0653984188f81d620ba5f7bc5b8
--- /dev/null
+++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_ang_0.02_ts_2_t_2.000000.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="231"                  NumberOfCells="100"                 >
+      <PointData>
+        <DataArray type="Float64" Name="HeatFlowRate" format="appended" RangeMin="-0.00043368846559"    RangeMax="0.0008999400012"      offset="92"                  />
+        <DataArray type="Float64" Name="heat_flux" NumberOfComponents="3" format="appended" RangeMin="0.34933725275"        RangeMax="1.0019098568"         offset="1596"                />
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="0"                    RangeMax="0.69421802207"        offset="6856"                />
+      </PointData>
+      <CellData>
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="8444"                />
+      </CellData>
+      <Points>
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="1.4142135624"         offset="8508"                />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="9632"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="10908"               />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="11188"               />
+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
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