diff --git a/CMakeLists.txt b/CMakeLists.txt
index 64bdfbacf838a0a07165e063bd321c3f40721145..87249262a1dff2d29de357df9bfadfee804bc01d 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -362,8 +362,11 @@ file(COPY test/boxmodels/richards/test_richards.input DESTINATION parameters)
 file(COPY test/decoupled/1p/diffusion-reference.vtu DESTINATION references)
 file(COPY test/decoupled/1p/test_1p-reference.vtu DESTINATION references)
 file(COPY test/decoupled/2p/test_transport-reference.vtu DESTINATION references)
+file(COPY test/decoupled/2p/test_transport.input DESTINATION parameters)
 file(COPY test/decoupled/2p/test_impes-reference.vtu DESTINATION references)
+file(COPY test/decoupled/2p/test_impes.input DESTINATION parameters)
 file(COPY test/decoupled/2p2c/test_dec2p2c-reference.vtu DESTINATION references)
+file(COPY test/decoupled/2p2c/test_dec2p2c.input DESTINATION parameters)
 file(COPY test/common/generalproblem/generallens_box-reference.vtu DESTINATION references)
 file(COPY test/common/generalproblem/generallens_decoupled-reference.vtu DESTINATION references)
 if(SUPERLU_FOUND)
@@ -386,18 +389,18 @@ add_test(test_tabulation   test/material/tabulation/test_tabulation)
 
 add_test(test_1p       bin/runTest.sh references/1ptest-reference.vtu        1ptest-00002.vtu        test/boxmodels/1p/test_1p             --parameter-file=parameters/test_1p.input       -gridFile test/boxmodels/1p/grids/test_1p_2d.dgf               -tEnd 1    -dtInitial 1)
 add_test(test_1p2c     bin/runTest.sh references/outflow-reference.vtu       outflow-00010.vtu       test/boxmodels/1p2c/test_1p2c         --parameter-file=parameters/test_1p2c.input     -gridFile test/boxmodels/1p2c/grids/test_1p2c.dgf              -tEnd 100  -dtInitial 1)
-add_test(test_2p       bin/runTest.sh references/lens-reference.vtu          lens-00010.vtu          test/boxmodels/2p/test_2p             --parameter-file=parameters/test_2p.input       -gridFile test/boxmodels/2p/grids/test_2p.dgf                  -tEnd 3000 -dtInitial 250)
+add_test(test_2p       bin/runTest.sh references/lens-reference.vtu          lens-00009.vtu          test/boxmodels/2p/test_2p             --parameter-file=parameters/test_2p.input       -gridFile test/boxmodels/2p/grids/test_2p.dgf                  -tEnd 3000 -dtInitial 250)
 add_test(test_2pni     bin/runTest.sh references/injection2pni-reference.vtu injection2pni-00009.vtu test/boxmodels/2pni/test_2pni         --parameter-file=parameters/test_2pni.input                                                                    -tEnd 1e4  -dtInitial 250)
 add_test(test_2p2c     bin/runTest.sh references/injection-reference.vtu     injection-00009.vtu     test/boxmodels/2p2c/test_2p2c         --parameter-file=parameters/test_2p2c.input     -gridFile test/boxmodels/2p2c/grids/test_2p2c.dgf              -tEnd 1e4  -dtInitial 250)
-add_test(test_2p2cni   bin/runTest.sh references/waterair-reference.vtu      waterair-00011.vtu      test/boxmodels/2p2cni/test_2p2cni     --parameter-file=parameters/test_2p2cni.input   -gridFile test/boxmodels/2p2cni/grids/test_2p2cni.dgf          -tEnd 1e4  -dtInitial 250)
+add_test(test_2p2cni   bin/runTest.sh references/waterair-reference.vtu      waterair-00010.vtu      test/boxmodels/2p2cni/test_2p2cni     --parameter-file=parameters/test_2p2cni.input   -gridFile test/boxmodels/2p2cni/grids/test_2p2cni.dgf          -tEnd 1e4  -dtInitial 250)
 add_test(test_MpNc     bin/runTest.sh references/obstacle-reference.vtu      obstacle-00010.vtu      test/boxmodels/MpNc/test_MpNc         --parameter-file=parameters/test_MpNc.input     -gridFile test/boxmodels/MpNc/grids/obstacle_24x16.dgf         -tEnd 1e4  -dtInitial 250)
 add_test(test_richards bin/runTest.sh references/richardslens-reference.vtu  richardslens-00008.vtu  test/boxmodels/richards/test_richards --parameter-file=parameters/test_richards.input -gridFile test/boxmodels/richards/grids/richardslens-24x16.dgf -tEnd 3000 -dtInitial 100)
 
 add_test(test_diffusion bin/runTest.sh references/diffusion-reference.vtu      mimeticdiffusion-00001.vtu test/decoupled/1p/test_diffusion 3)
 add_test(test_dec1p     bin/runTest.sh references/test_1p-reference.vtu        test_1p-00001.vtu          test/decoupled/1p/test_dec1p 3)
-add_test(test_transport bin/runTest.sh references/test_transport-reference.vtu test_transport-00006.vtu   test/decoupled/2p/test_transport test/decoupled/2p/grids/test_transport.dgf 1e4)
-add_test(test_impes     bin/runTest.sh references/test_impes-reference.vtu     test_impes-00013.vtu       test/decoupled/2p/test_impes 1e7)
-add_test(test_dec2p2c   bin/runTest.sh references/test_dec2p2c-reference.vtu   test_dec2p2c-00021.vtu     test/decoupled/2p2c/test_dec2p2c)
+add_test(test_transport bin/runTest.sh references/test_transport-reference.vtu test_transport-00006.vtu   test/decoupled/2p/test_transport --parameter-file=parameters/test_transport.input -gridFile test/decoupled/2p/grids/test_transport.dgf)
+add_test(test_impes     bin/runTest.sh references/test_impes-reference.vtu     test_impes-00013.vtu       test/decoupled/2p/test_impes     --parameter-file=parameters/test_impes.input)
+add_test(test_dec2p2c   bin/runTest.sh references/test_dec2p2c-reference.vtu   test_dec2p2c-00021.vtu     test/decoupled/2p2c/test_dec2p2c --parameter-file=parameters/test_dec2p2c.input)
 
 add_test(tutorial_coupled   tutorial/tutorial_coupled   1 1)
 add_test(tutorial_decoupled tutorial/tutorial_decoupled 1)
diff --git a/test/boxmodels/3p3c/infiltrationproblem.hh b/test/boxmodels/3p3c/infiltrationproblem.hh
index ff9846dc20510fb34ebc0683e3767ac3560a1c5d..1999e407d2d8c70b63b3c84be7997ec8a8e8c43a 100644
--- a/test/boxmodels/3p3c/infiltrationproblem.hh
+++ b/test/boxmodels/3p3c/infiltrationproblem.hh
@@ -101,7 +101,6 @@ SET_INT_PROP(InfiltrationProblem, NumericDifferenceMethod, 0);
  * To run the simulation execute the following line in shell:
  * <tt>./test_3p3c -parameterFile test_3p3c.input</tt>
  *  */
- *  */
 template <class TypeTag >
 class InfiltrationProblem : public ThreePThreeCProblem<TypeTag>
 {
diff --git a/test/decoupled/2p/test_impes-reference.vtu b/test/decoupled/2p/test_impes-reference.vtu
index c7ccb848ed2d7082db63fe53466fa88902f26c05..4f081ea165e336507e20de78ef81e248aa516e78 100644
--- a/test/decoupled/2p/test_impes-reference.vtu
+++ b/test/decoupled/2p/test_impes-reference.vtu
@@ -55,79 +55,79 @@
           0 0 0 0 0 0 0 0 0 0 0 0
         </DataArray>
         <DataArray type="Float32" Name="wetting saturation" NumberOfComponents="1" format="ascii">
-          0.743925 0.662197 0.597982 0.31187 0.200018 0.2 0.2 0.2 0.2 0.2 0.2 0.2
+          0.743888 0.661224 0.593957 0.300918 0.200013 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
-          0.2 0.2 0.2 0.2 0.2 0.2 0.743925 0.662197 0.597982 0.31187 0.200018 0.2
+          0.2 0.2 0.2 0.2 0.2 0.2 0.743888 0.661224 0.593957 0.300918 0.200013 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
-          0.743925 0.662197 0.597982 0.31187 0.200018 0.2 0.2 0.2 0.2 0.2 0.2 0.2
+          0.743888 0.661224 0.593957 0.300918 0.200013 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
-          0.2 0.2 0.2 0.2 0.2 0.2 0.743925 0.662197 0.597982 0.31187 0.200018 0.2
+          0.2 0.2 0.2 0.2 0.2 0.2 0.743888 0.661224 0.593957 0.300918 0.200013 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
-          0.743925 0.662197 0.597982 0.31187 0.200018 0.2 0.2 0.2 0.2 0.2 0.2 0.2
+          0.743888 0.661224 0.593957 0.300918 0.200013 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
-          0.2 0.2 0.2 0.2 0.2 0.2 0.743925 0.662197 0.597982 0.31187 0.200018 0.2
+          0.2 0.2 0.2 0.2 0.2 0.2 0.743888 0.661224 0.593957 0.300918 0.200013 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
           0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
         </DataArray>
         <DataArray type="Float32" Name="nonwetting saturation" NumberOfComponents="1" format="ascii">
-          0.256075 0.337803 0.402018 0.68813 0.799982 0.8 0.8 0.8 0.8 0.8 0.8 0.8
+          0.256112 0.338776 0.406043 0.699082 0.799987 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
-          0.8 0.8 0.8 0.8 0.8 0.8 0.256075 0.337803 0.402018 0.68813 0.799982 0.8
+          0.8 0.8 0.8 0.8 0.8 0.8 0.256112 0.338776 0.406043 0.699082 0.799987 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
-          0.256075 0.337803 0.402018 0.68813 0.799982 0.8 0.8 0.8 0.8 0.8 0.8 0.8
+          0.256112 0.338776 0.406043 0.699082 0.799987 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
-          0.8 0.8 0.8 0.8 0.8 0.8 0.256075 0.337803 0.402018 0.68813 0.799982 0.8
+          0.8 0.8 0.8 0.8 0.8 0.8 0.256112 0.338776 0.406043 0.699082 0.799987 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
-          0.256075 0.337803 0.402018 0.68813 0.799982 0.8 0.8 0.8 0.8 0.8 0.8 0.8
+          0.256112 0.338776 0.406043 0.699082 0.799987 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
-          0.8 0.8 0.8 0.8 0.8 0.8 0.256075 0.337803 0.402018 0.68813 0.799982 0.8
+          0.8 0.8 0.8 0.8 0.8 0.8 0.256112 0.338776 0.406043 0.699082 0.799987 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
           0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8
         </DataArray>
         <DataArray type="Float32" Name="wetting-velocity" NumberOfComponents="3" format="ascii">
-          2.99652e-07 4.90931e-16 0 2.90182e-07 -4.97258e-16 0 2.43301e-07 -2.43309e-17 0 1.02814e-07 -6.35629e-20 0
-          4.30793e-11 1.34952e-38 0 2.78216e-30 0 0 0 0 0 0 0 0
+          2.99652e-07 2.94559e-16 0 2.90182e-07 9.94515e-17 0 2.43301e-07 0 0 1.02814e-07 1.27126e-19 0
+          4.30793e-11 0 0 2.78216e-30 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          0 0 0 0 0 0 2.99652e-07 3.92745e-16 0 2.90182e-07 -3.4808e-16 0
-          2.43301e-07 1.45986e-16 0 1.02814e-07 6.35629e-20 0 4.30793e-11 0 0 2.78215e-30 0 0
+          0 0 0 0 0 0 2.99652e-07 -2.94558e-16 0 2.90182e-07 4.47532e-16 0
+          2.43301e-07 2.6764e-16 0 1.02814e-07 2.54252e-19 0 4.30793e-11 0 0 2.78215e-30 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          2.99652e-07 -9.81862e-17 0 2.90182e-07 4.97258e-16 0 2.43301e-07 1.21655e-16 0 1.02814e-07 -6.3563e-20 0
+          2.99652e-07 -3.92745e-16 0 2.90182e-07 1.49177e-16 0 2.43301e-07 1.21655e-16 0 1.02814e-07 -1.58907e-19 0
           4.30793e-11 0 0 2.78215e-30 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          0 0 0 0 0 0 2.99652e-07 9.81862e-17 0 2.90182e-07 2.98355e-16 0
-          2.43301e-07 -4.86618e-17 0 1.02814e-07 -1.90689e-19 0 4.30793e-11 -1.61942e-38 0 2.78216e-30 0 0
+          0 0 0 0 0 0 2.99652e-07 3.92745e-16 0 2.90182e-07 -1.49177e-16 0
+          2.43301e-07 -9.73237e-17 0 1.02814e-07 -2.54252e-19 0 4.30793e-11 0 0 2.78215e-30 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          2.99652e-07 -3.92745e-16 0 2.90182e-07 2.98355e-16 0 2.43301e-07 4.86618e-17 0 1.02814e-07 3.17815e-19 0
-          4.30793e-11 -1.88932e-38 0 2.78216e-30 0 0 0 0 0 0 0 0
+          2.99652e-07 -3.92745e-16 0 2.90182e-07 7.45886e-16 0 2.43301e-07 2.18978e-16 0 1.02814e-07 5.40285e-19 0
+          4.30793e-11 0 0 2.78216e-30 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          0 0 0 0 0 0 2.99652e-07 -4.90931e-16 0 2.90182e-07 3.4808e-16 0
-          2.43301e-07 4.86618e-17 0 1.02814e-07 3.17815e-19 0 4.30793e-11 0 0 2.78215e-30 0 0
+          0 0 0 0 0 0 2.99652e-07 -5.89117e-16 0 2.90182e-07 6.96161e-16 0
+          2.43301e-07 1.70316e-16 0 1.02814e-07 5.08504e-19 0 4.30793e-11 0 0 2.78215e-30 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
@@ -136,51 +136,51 @@
           0 0 0 0 0 0 0 0 0 0 0 0
         </DataArray>
         <DataArray type="Float32" Name="non-wetting-velocity" NumberOfComponents="3" format="ascii">
-          3.47586e-10 1.14025e-18 0 9.81759e-09 -3.35091e-17 0 5.66992e-08 -1.11815e-17 0 1.97186e-07 -2.2126e-16 0
-          2.99957e-07 7.27593e-16 0 3e-07 0 0 3e-07 1.01863e-15 0 3e-07 2.91038e-16 0
-          3e-07 4.36557e-16 0 3e-07 4.36557e-16 0 3e-07 -7.27596e-16 0 3e-07 -1.45519e-16 0
-          3e-07 2.91038e-16 0 3e-07 2.91038e-16 0 3e-07 -8.73115e-16 0 3e-07 5.82077e-16 0
-          3e-07 -4.36557e-16 0 3e-07 8.73115e-16 0 3e-07 -2.91038e-16 0 3e-07 -1.45519e-16 0
-          3e-07 0 0 3e-07 4.36557e-16 0 3e-07 -1.45519e-16 0 3e-07 -1.45519e-16 0
-          3e-07 1.45519e-16 0 3e-07 -1.45519e-16 0 3e-07 1.45519e-16 0 3e-07 0 0
-          3e-07 -5.82077e-16 0 3e-07 -1.45519e-16 0 3.47586e-10 9.12197e-19 0 9.81759e-09 -2.34564e-17 0
-          5.66992e-08 6.7089e-17 0 1.97186e-07 2.2126e-16 0 2.99957e-07 5.82074e-16 0 3e-07 -2.91038e-16 0
-          3e-07 4.36557e-16 0 3e-07 -4.36557e-16 0 3e-07 -1.45519e-16 0 3e-07 0 0
-          3e-07 -2.91038e-16 0 3e-07 -1.45519e-16 0 3e-07 1.45519e-16 0 3e-07 2.91038e-16 0
-          3e-07 -4.36557e-16 0 3e-07 2.91038e-16 0 3e-07 0 0 3e-07 4.36557e-16 0
-          3e-07 4.36557e-16 0 3e-07 0 0 3e-07 -2.91038e-16 0 3e-07 2.91038e-16 0
-          3e-07 -1.45519e-16 0 3e-07 -5.82077e-16 0 3e-07 7.27596e-16 0 3e-07 4.36557e-16 0
-          3e-07 1.45519e-16 0 3e-07 -2.91038e-16 0 3e-07 -8.73115e-16 0 3e-07 -1.45519e-16 0
-          3.47586e-10 -2.28049e-19 0 9.81759e-09 3.35091e-17 0 5.66992e-08 5.59075e-17 0 1.97186e-07 -2.2126e-16 0
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-          3e-07 0 0 3e-07 2.91038e-16 0 3e-07 2.91038e-16 0 3e-07 -5.82077e-16 0
-          3e-07 2.91038e-16 0 3e-07 1.45519e-16 0 3e-07 1.45519e-16 0 3e-07 0 0
-          3e-07 0 0 3e-07 -4.36557e-16 0 3.47586e-10 2.28049e-19 0 9.81759e-09 2.01054e-17 0
-          5.66992e-08 -2.2363e-17 0 1.97186e-07 -6.63779e-16 0 2.99957e-07 -8.73111e-16 0 3e-07 -5.82077e-16 0
-          3e-07 -1.45519e-16 0 3e-07 0 0 3e-07 2.91038e-16 0 3e-07 5.82077e-16 0
-          3e-07 1.45519e-16 0 3e-07 5.82077e-16 0 3e-07 5.82077e-16 0 3e-07 7.27596e-16 0
-          3e-07 1.45519e-16 0 3e-07 -2.91038e-16 0 3e-07 1.45519e-16 0 3e-07 1.45519e-16 0
-          3e-07 -1.45519e-16 0 3e-07 0 0 3e-07 -2.91038e-16 0 3e-07 1.45519e-16 0
-          3e-07 -1.45519e-16 0 3e-07 -4.36557e-16 0 3e-07 -2.91038e-16 0 3e-07 -5.82077e-16 0
-          3e-07 -1.45519e-16 0 3e-07 0 0 3e-07 1.45519e-16 0 3e-07 2.91038e-16 0
-          3.47586e-10 -9.12197e-19 0 9.81759e-09 2.01054e-17 0 5.66992e-08 2.2363e-17 0 1.97186e-07 1.1063e-15 0
-          2.99957e-07 -1.01863e-15 0 3e-07 -8.73115e-16 0 3e-07 -4.36557e-16 0 3e-07 -2.91038e-16 0
-          3e-07 2.91038e-16 0 3e-07 5.82077e-16 0 3e-07 -5.82077e-16 0 3e-07 2.91038e-16 0
-          3e-07 1.45519e-16 0 3e-07 0 0 3e-07 0 0 3e-07 -2.91038e-16 0
-          3e-07 5.82077e-16 0 3e-07 2.91038e-16 0 3e-07 0 0 3e-07 5.82077e-16 0
-          3e-07 -5.82077e-16 0 3e-07 -5.82077e-16 0 3e-07 -4.36557e-16 0 3e-07 0 0
-          3e-07 -4.36557e-16 0 3e-07 1.45519e-16 0 3e-07 1.45519e-16 0 3e-07 0 0
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diff --git a/test/decoupled/2p2c/test_dec2p2c-reference.vtu b/test/decoupled/2p2c/test_dec2p2c-reference.vtu
index f13145a824e88f59ea17b61657a03a93bd86edef..870d7fc62c19d47214a8f9d6e9860de19e9b5462 100644
--- a/test/decoupled/2p2c/test_dec2p2c-reference.vtu
+++ b/test/decoupled/2p2c/test_dec2p2c-reference.vtu
@@ -2,1038 +2,1296 @@
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