diff --git a/test/multidomain/2cnistokes2p2cni/2cnistokes2p2cniproblem.hh b/test/multidomain/2cnistokes2p2cni/2cnistokes2p2cniproblem.hh
index ef2e9e0d4b82ecd94a55616fcb129d134253477d..076610f943bfd9b34647f8d2aa19205aa7e1c593 100644
--- a/test/multidomain/2cnistokes2p2cni/2cnistokes2p2cniproblem.hh
+++ b/test/multidomain/2cnistokes2p2cni/2cnistokes2p2cniproblem.hh
@@ -37,7 +37,6 @@
 #include <dune/grid/multidomaingrid.hh>
 #include <dune/grid/io/file/dgfparser.hh>
 
-#include <dumux/io/interfacegridcreator.hh>
 #include <dumux/material/fluidsystems/h2oairfluidsystem.hh>
 #include <dumux/multidomain/common/multidomainproblem.hh>
 #include <dumux/multidomain/2cnistokes2p2cni/2cnistokes2p2cnilocaloperator.hh>
@@ -61,13 +60,7 @@ namespace Properties
 NEW_TYPE_TAG(TwoCNIStokesTwoPTwoCNIProblem, INHERITS_FROM(TwoCNIStokesTwoPTwoCNI));
 
 // Set the grid type
-#ifdef HAVE_UG
-SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, Grid, Dune::UGGrid<2>);
-#elif HAVE_DUNE_ALUGRID
-SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, Grid, Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>);
-#else
-SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, Grid, Dune::YaspGrid<2>);
-#endif
+SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, Grid, Dune::YaspGrid<2, Dune::TensorProductCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 2> >);
 
 // Set the global problem
 SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, Problem, TwoCNIStokesTwoPTwoCNIProblem<TypeTag>);
@@ -101,9 +94,6 @@ SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, LinearSolver, PardisoBackend<TypeTa
 #else
 SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, LinearSolver, SuperLUBackend<TypeTag>);
 #endif // HAVE_PARDISO
-
-// Use the interface grid creator to create the grid
-SET_TYPE_PROP(TwoCNIStokesTwoPTwoCNIProblem, GridCreator, Dumux::InterfaceGridCreator<TypeTag>);
 }
 
 /*!
diff --git a/test/multidomain/2cnistokes2p2cni/2p2cnisubproblem.hh b/test/multidomain/2cnistokes2p2cni/2p2cnisubproblem.hh
index 29c8e6b7e45a6b047735c0f1cfb750f0296f927c..c10d94fe561fa5ba8ec1274b341df228dafa0aba 100644
--- a/test/multidomain/2cnistokes2p2cni/2p2cnisubproblem.hh
+++ b/test/multidomain/2cnistokes2p2cni/2p2cnisubproblem.hh
@@ -160,12 +160,13 @@ public:
         : ParentType(timeManager, gridView)
     {
         Scalar noDarcyX = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, NoDarcyX);
-        Scalar xMin = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
 
-        bBoxMin_[0] = std::max(xMin,noDarcyX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        bBoxMin_[0] = std::max(positions0.front(),noDarcyX);
+        bBoxMax_[0] = positions0.back();
 
-        bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftY);
+        bBoxMin_[1] = positions1.front();
         bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
 
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
diff --git a/test/multidomain/2cnistokes2p2cni/grids/test_2cnistokes2p2cni.dgf b/test/multidomain/2cnistokes2p2cni/grids/test_2cnistokes2p2cni.dgf
deleted file mode 100644
index c6b559bdf0289deed2b3f03b222321fe5c8ca305..0000000000000000000000000000000000000000
--- a/test/multidomain/2cnistokes2p2cni/grids/test_2cnistokes2p2cni.dgf
+++ /dev/null
@@ -1,15 +0,0 @@
-DGF
-Interval
-0 0 % first corner
-0.25 0.5 % second corner
-25 50 % 25 cells in x and 50 in y direction
-#
-
-Cube
-0 1 2 3
-#
-
-BOUNDARYDOMAIN
-default 1    % all boundaries have id 1
-#BOUNDARYDOMAIN
-# unitcube.dgf
diff --git a/test/multidomain/2cnistokes2p2cni/stokes2cnisubproblem.hh b/test/multidomain/2cnistokes2p2cni/stokes2cnisubproblem.hh
index 8e4051ded520988c9e13f9ab3bf486278c12eee1..6726d33db45924dc261db60fed407f1665f96e6e 100644
--- a/test/multidomain/2cnistokes2p2cni/stokes2cnisubproblem.hh
+++ b/test/multidomain/2cnistokes2p2cni/stokes2cnisubproblem.hh
@@ -149,10 +149,13 @@ public:
     Stokes2cniSubProblem(TimeManager &timeManager, const GridView &gridView)
         : ParentType(timeManager, gridView)
     {
-        bBoxMin_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
+
+        bBoxMin_[0] = positions0.front();
+        bBoxMax_[0] = positions0.back();
         bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
-        bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightY);
+        bBoxMax_[1] = positions1.back();
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
 
         refVelocity_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, FreeFlow, RefVelocity);
diff --git a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni.input b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni.input
index 9ddba5e8275657bed3897f4c3cfa5aa47940be0f..8a404e89e926619f00a1fecdfa5465047f5f38c8 100644
--- a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni.input
+++ b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni.input
@@ -6,20 +6,16 @@ TEnd= 0.864e6 # [s]
 EpisodeLength = 43200 # [s]
 
 [Grid]
-# File = grids/test_2cnistokes2p2cni.dgf # unused, if interface mesh creator is used
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.25 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
+Cells0 = 30
+Cells1 = 30 30
+Grading0 = 1.0
+Grading1 = 1.1 0.9
+Positions0 = 0.0 0.25
+Positions1 = 0.0 0.25 0.5
+
 RunUpDistanceX = 0.0 # [m] Horizontal position without coupling to PM
 NoDarcyX = 0.0 # [m] Horizontal position without PM below
 InterfacePosY = 0.25 # [m] Vertical position of coupling interface
-# Number of elements in x-, y-, z-direction
-NumberOfCellsX = 30
-NumberOfCellsY = 62
-# Grading and refinement of the mesh in y direction
-GradingFactorY = 1.13
-RefineTopY = false
 
 [Output]
 NameFF = stokes2cni
diff --git a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_boundarylayer.input b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_boundarylayer.input
index 9b170f0491635bed745d6c00c0c37351906097d9..bff2072ec2bd353d29fe0ce69b382334c6189883 100644
--- a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_boundarylayer.input
+++ b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_boundarylayer.input
@@ -6,20 +6,16 @@ TEnd= 3600 # [s]
 EpisodeLength = 43200 # [s]
 
 [Grid]
-# File = grids/test_2cnistokes2p2cni.dgf # unused, if interface mesh creator is used
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.25 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
+Cells0 = 6
+Cells1 = 4 4 4
+Grading0 = 1.0
+Grading1 = 1.5 0.66666 1.5
+Positions0 = 0.0 0.25
+Positions1 = 0.0 0.25 0.375 0.5
+
 RunUpDistanceX = 0.0 # [m] Horizontal position without coupling to PM
 NoDarcyX = 0.0 # [m] Horizontal position without PM below
 InterfacePosY = 0.25 # [m] Vertical position of coupling interface
-# Number of elements in x-, y-, z-direction
-NumberOfCellsX = 6
-NumberOfCellsY = 12
-# Grading and refinement of the mesh in y direction
-GradingFactorY = 1.5
-RefineTopY = true
 
 [Output]
 NameFF = stokes2cni_boundarylayer
diff --git a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_reference.input b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_reference.input
index d1d23947b928caf371677599c19d7771e271ef36..8d88c286c6e6a7dd7ed78a14b60d6124f602fdbf 100644
--- a/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_reference.input
+++ b/test/multidomain/2cnistokes2p2cni/test_2cnistokes2p2cni_reference.input
@@ -6,20 +6,16 @@ TEnd= 3600 # [s]
 EpisodeLength = 43200 # [s]
 
 [Grid]
-# File = grids/test_2cnistokes2p2cni.dgf # unused, if interface mesh creator is used
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.25 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
+Cells0 = 6
+Cells1 = 4 4 4
+Grading0 = 1.0
+Grading1 = 1.5 0.66666 1.5
+Positions0 = 0.0 0.25
+Positions1 = 0.0 0.25 0.375 0.5
+
 RunUpDistanceX = 0.0 # [m] Horizontal position without coupling to PM
 NoDarcyX = 0.0 # [m] Horizontal position without PM below
 InterfacePosY = 0.25 # [m] Vertical position of coupling interface
-# Number of elements in x-, y-, z-direction
-NumberOfCellsX = 6
-NumberOfCellsY = 12
-# Grading and refinement of the mesh in y direction
-GradingFactorY = 1.5
-RefineTopY = true
 
 [Output]
 NameFF = stokes2cni
diff --git a/test/multidomain/2cnizeroeq2p2cni/2cnizeroeq2p2cniproblem.hh b/test/multidomain/2cnizeroeq2p2cni/2cnizeroeq2p2cniproblem.hh
index 81c4649e9f6181592704288f7474014dfb418c01..8809f247968e5c4be0e71ac36f2036e95688d79d 100644
--- a/test/multidomain/2cnizeroeq2p2cni/2cnizeroeq2p2cniproblem.hh
+++ b/test/multidomain/2cnizeroeq2p2cni/2cnizeroeq2p2cniproblem.hh
@@ -28,7 +28,6 @@
 #include <dune/grid/common/gridinfo.hh>
 #include <dune/grid/io/file/dgfparser.hh>
 
-#include <dumux/io/interfacegridcreator.hh>
 #include <dumux/material/fluidsystems/h2oairfluidsystem.hh>
 #include <dumux/multidomain/common/multidomainproblem.hh>
 #include <dumux/multidomain/2cnistokes2p2cni/2cnistokes2p2cnilocaloperator.hh>
@@ -48,13 +47,7 @@ namespace Properties
 NEW_TYPE_TAG(TwoCNIZeroEqTwoPTwoCNIProblem, INHERITS_FROM(TwoCNIStokesTwoPTwoCNI));
 
 // Set the grid type
-#if HAVE_UG
-SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, Grid, Dune::UGGrid<2>);
-#elif HAVE_DUNE_ALUGRID
-SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, Grid, Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>);
-#else
-SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, Grid, Dune::YaspGrid<2>);
-#endif
+SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, Grid, Dune::YaspGrid<2, Dune::TensorProductCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 2> >);
 
 // Set the global problem
 SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, Problem, TwoCNIZeroEqTwoPTwoCNIProblem<TypeTag>);
@@ -89,9 +82,6 @@ SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, LinearSolver, SuperLUBackend<TypeTa
 #else
 SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, LinearSolver, UMFPackBackend<TypeTag>);
 #endif
-
-// Use the interface grid creator to create the grid
-SET_TYPE_PROP(TwoCNIZeroEqTwoPTwoCNIProblem, GridCreator, Dumux::InterfaceGridCreator<TypeTag>);
 }
 
 /*!
diff --git a/test/multidomain/2cnizeroeq2p2cni/2p2cnisubproblem.hh b/test/multidomain/2cnizeroeq2p2cni/2p2cnisubproblem.hh
index f9957e2f28e1369b813724dba6a18c9a3681cf54..ea41466bfd57fa9ee3268dab7b0e3c020bb21854 100644
--- a/test/multidomain/2cnizeroeq2p2cni/2p2cnisubproblem.hh
+++ b/test/multidomain/2cnizeroeq2p2cni/2p2cnisubproblem.hh
@@ -157,12 +157,13 @@ public:
     {
         Scalar noDarcyX1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, NoDarcyX1);
         Scalar noDarcyX2 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, NoDarcyX2);
-        Scalar xMin = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
-        Scalar xMax = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
 
-        bBoxMin_[0] = std::max(xMin,noDarcyX1);
-        bBoxMax_[0] = std::min(xMax,noDarcyX2);
-        bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftY);
+        bBoxMin_[0] = std::max(positions0.front(),noDarcyX1);
+        bBoxMax_[0] = std::min(positions0.back(),noDarcyX2);
+
+        bBoxMin_[1] = positions1.front();
         bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
         runUpDistanceX1_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX1); // first part of the interface without coupling
         runUpDistanceX2_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX2); // second part of the interface without coupling
diff --git a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.cc b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.cc
index 90416e940467b845926fb70f7f4a3f67e0b390b9..a8928e576ec2e05d8a27f0589e79de33629e51aa 100644
--- a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.cc
+++ b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.cc
@@ -50,14 +50,6 @@ void printUsage(const char *progName, const std::string &errorMsg)
         errorMessageOut += errorMsg;
         errorMessageOut += "\nThe list of mandatory options for this program is:\n"
                            "[Grid]\n"
-                           "LowerLeftX               Minumum x-coordinate [m]\n"
-                           "UpperRightX              Maximum x-coordinate [m]\n"
-                           "LowerLeftY               Minumum y-coordinate [m]\n"
-                           "UpperRightY              Maximum y-coordinate [m]\n"
-                           "NumberOfCellsX           Number of cells in x-direction\n"
-                           "NumberOfCellsY           Number of cells in y-direction\n"
-                           "GradingFactorY           Vertical grading of the cells\n"
-                           "RefineTopY               Specifies whethter the top of the free flow will be refined\n"
                            "InterfacePosY            Vertical position of the interface [m]\n"
                            "NoDarcyX1                Horizontal position where the porous medium starts [m]\n"
                            "NoDarcyX2                Horizontal position where the porous medium ends [m]\n"
diff --git a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.input b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.input
index 245e3c3d35faaf66627824d461c3a2d3cabc860b..3206c2c3a45ee9b59b2aca32c8eac5990453084a 100644
--- a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.input
+++ b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni.input
@@ -5,17 +5,13 @@ TEnd = 3600 # [s]
 EpisodeLength = 14400 # [s] # 14400s = 4h
 
 [Grid]
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.75 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.75 # [m]
-# Number of elements in x-, y-direction
-NumberOfCellsX = 15
-NumberOfCellsY = 30
-# Grading and refinement of the mesh
-GradingFactorY = 1.16
-RefineTopY = true
-# Position information
+Cells0 = 15
+Cells1 = 10 10 10
+Grading0 = 1.0
+Grading1 = 1.1 0.9 1.1
+Positions0 = 0.0 0.75
+Positions1 = 0.0 0.25 0.5 0.75
+
 NoDarcyX1 = 0.25 # [m] # Beginning of PM below
 NoDarcyX2 = 0.5 # [m] # End of PM below
 RunUpDistanceX1 = 0.251 # [m] # Beginning of without Coupling to PM (x-coordinate)
diff --git a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni_reference.input b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni_reference.input
index 0369db783a7f3353d2c3b86725548f6fe4c2d82a..02f7cae44deda9378ec45f79755768e5761927c8 100644
--- a/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni_reference.input
+++ b/test/multidomain/2cnizeroeq2p2cni/test_2cnizeroeq2p2cni_reference.input
@@ -5,17 +5,13 @@ TEnd = 1800 # [s]
 EpisodeLength = 14400 # [s] # 14400s = 4h
 
 [Grid]
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.35 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
-# Number of elements in x-, y-direction
-NumberOfCellsX = 7
-NumberOfCellsY = 12
-# Grading and refinement of the mesh
-GradingFactorY = 1.5
-RefineTopY = true
-# Position information
+Cells0 = 7
+Cells1 = 4 4 4
+Grading0 = 1.0
+Grading1 = 1.5 0.66666 1.5
+Positions0 = 0.0 0.35
+Positions1 = 0.0 0.25 0.375 0.5
+
 NoDarcyX1 = 0.05 # [m] # Beginning of PM below
 NoDarcyX2 = 0.30 # [m] # End of PM below
 RunUpDistanceX1 = 0.051 # [m] # Beginning of without Coupling to PM (x-coordinate)
diff --git a/test/multidomain/2cnizeroeq2p2cni/zeroeq2cnisubproblem.hh b/test/multidomain/2cnizeroeq2p2cni/zeroeq2cnisubproblem.hh
index 6c3594d8f077c2678eeaa426100a4142f5bef21b..bf0914cefbcff51b73de061a48e8dde31fab4ed1 100644
--- a/test/multidomain/2cnizeroeq2p2cni/zeroeq2cnisubproblem.hh
+++ b/test/multidomain/2cnizeroeq2p2cni/zeroeq2cnisubproblem.hh
@@ -157,10 +157,13 @@ public:
     ZeroEq2cniSubProblem(TimeManager &timeManager, const GridView &gridView)
         : ParentType(timeManager, gridView)
     {
-        bBoxMin_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
+
+        bBoxMin_[0] = positions0.front();
+        bBoxMax_[0] = positions0.back();
         bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
-        bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightY);
+        bBoxMax_[1] = positions1.back();
         runUpDistanceX1_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX1); // first part of the interface without coupling
         runUpDistanceX2_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX2); // second part of the interface without coupling
 
diff --git a/test/multidomain/2cstokes2p2c/2cstokes2p2cproblem.hh b/test/multidomain/2cstokes2p2c/2cstokes2p2cproblem.hh
index ecadb6410c9bc9b7114308278e16c52654e005ca..2988f3bc496ca0370dc7ed09b265766ce2043698 100644
--- a/test/multidomain/2cstokes2p2c/2cstokes2p2cproblem.hh
+++ b/test/multidomain/2cstokes2p2c/2cstokes2p2cproblem.hh
@@ -37,7 +37,6 @@
 #include <dune/grid/multidomaingrid.hh>
 #include <dune/grid/io/file/dgfparser.hh>
 
-#include <dumux/io/interfacegridcreator.hh>
 #include <dumux/material/fluidsystems/h2oairfluidsystem.hh>
 #include <dumux/multidomain/common/multidomainproblem.hh>
 #include <dumux/multidomain/2cstokes2p2c/2cstokes2p2clocaloperator.hh>
@@ -61,13 +60,7 @@ namespace Properties
 NEW_TYPE_TAG(TwoCStokesTwoPTwoCProblem, INHERITS_FROM(TwoCStokesTwoPTwoC));
 
 // Set the grid type
-#ifdef HAVE_UG
-SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, Grid, Dune::UGGrid<2>);
-#elif HAVE_DUNE_ALUGRID
-SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, Grid, Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>);
-#else
-SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, Grid, Dune::YaspGrid<2>);
-#endif
+SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, Grid, Dune::YaspGrid<2, Dune::TensorProductCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 2> >);
 
 // Set the global problem
 SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, Problem, Dumux::TwoCStokesTwoPTwoCProblem<TypeTag>);
@@ -102,9 +95,6 @@ SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, LinearSolver, PardisoBackend<TypeTag>);
 #else
 SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, LinearSolver, SuperLUBackend<TypeTag>);
 #endif // HAVE_PARDISO
-
-// Use the interface grid creator to create the grid
-SET_TYPE_PROP(TwoCStokesTwoPTwoCProblem, GridCreator, Dumux::InterfaceGridCreator<TypeTag>);
 }
 
 /*!
diff --git a/test/multidomain/2cstokes2p2c/2p2csubproblem.hh b/test/multidomain/2cstokes2p2c/2p2csubproblem.hh
index ab7bafbe2eaf501e110bd4d75bd3edfa4f38e1f3..0563d37df321e000a0b3d97139d96dec7936cfdf 100644
--- a/test/multidomain/2cstokes2p2c/2p2csubproblem.hh
+++ b/test/multidomain/2cstokes2p2c/2p2csubproblem.hh
@@ -139,12 +139,13 @@ public:
         : ParentType(timeManager, gridView)
     {
         Scalar noDarcyX = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, NoDarcyX);
-        Scalar xMin = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
 
-        bBoxMin_[0] = std::max(xMin,noDarcyX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        bBoxMin_[0] = std::max(positions0.front(),noDarcyX);
+        bBoxMax_[0] = positions0.back();
 
-        bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftY);
+        bBoxMin_[1] = positions1.front();
         bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
 
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
diff --git a/test/multidomain/2cstokes2p2c/grids/test_2cstokes2p2c.dgf b/test/multidomain/2cstokes2p2c/grids/test_2cstokes2p2c.dgf
deleted file mode 100644
index c571818b44368e0f4674bac2fcf85336f9045081..0000000000000000000000000000000000000000
--- a/test/multidomain/2cstokes2p2c/grids/test_2cstokes2p2c.dgf
+++ /dev/null
@@ -1,15 +0,0 @@
-DGF
-Interval
-0 0 % first corner
-0.25 0.5 % second corner
-25 50 % 25 cells in x and 50 in y direction
-#
-
-Cube
-0 1 2 3
-#
-
-BOUNDARYDOMAIN
-default 1  % all boundaries have id 1
-#BOUNDARYDOMAIN
-# unitcube.dgf
diff --git a/test/multidomain/2cstokes2p2c/stokes2csubproblem.hh b/test/multidomain/2cstokes2p2c/stokes2csubproblem.hh
index 7b3f87e424c5ecfb124876bcc51e660abe130423..d5af4f91ab9bce8764778e6d072500e9e5a59f67 100644
--- a/test/multidomain/2cstokes2p2c/stokes2csubproblem.hh
+++ b/test/multidomain/2cstokes2p2c/stokes2csubproblem.hh
@@ -145,10 +145,13 @@ public:
     Stokes2cSubProblem(TimeManager &timeManager, const GridView gridView)
         : ParentType(timeManager, gridView)
     {
-        bBoxMin_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
+
+        bBoxMin_[0] = positions0.front();
+        bBoxMax_[0] = positions0.back();
         bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
-        bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightY);
+        bBoxMax_[1] = positions1.back();
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
 
         refVelocity_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, FreeFlow, RefVelocity);
diff --git a/test/multidomain/2cstokes2p2c/test_2cstokes2p2c.input b/test/multidomain/2cstokes2p2c/test_2cstokes2p2c.input
index 212230efe6595e6d8fc0b4faa082ea5914428d20..95d284f4ed4c2ff7b827bbe73c36312688237eb6 100644
--- a/test/multidomain/2cstokes2p2c/test_2cstokes2p2c.input
+++ b/test/multidomain/2cstokes2p2c/test_2cstokes2p2c.input
@@ -6,20 +6,16 @@ TEnd = 7200 # [s]
 EpisodeLength = 3600 # [s]
 
 [Grid]
-# File = grids/test_2cstokes2p2c.dgf # unused, if interface mesh creator is used
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.25 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
+Cells0 = 30
+Cells1 = 30 30
+Grading0 = 1.0
+Grading1 = 1.1 0.9
+Positions0 = 0.0 0.25
+Positions1 = 0.0 0.25 0.5
+
 RunUpDistanceX = 0.0 # [m] Horizontal position without coupling to PM
 NoDarcyX = 0.0 # [m] Horizontal position without PM below
 InterfacePosY = 0.25 # [m] Vertical position of coupling interface
-# Number of elements in x-, y-, z-direction
-NumberOfCellsX = 30
-NumberOfCellsY = 62
-# Grading and refinement of the mesh in y direction
-GradingFactorY = 1.13
-RefineTopY = false
 
 [Output]
 NameFF = stokes2c
diff --git a/test/multidomain/2cstokes2p2c/test_2cstokes2p2c_reference.input b/test/multidomain/2cstokes2p2c/test_2cstokes2p2c_reference.input
index abcc2abdcebf7cbc13dc1461c3d6523add438281..fe0074622fef5daf85f30a379318bdc580be2b32 100644
--- a/test/multidomain/2cstokes2p2c/test_2cstokes2p2c_reference.input
+++ b/test/multidomain/2cstokes2p2c/test_2cstokes2p2c_reference.input
@@ -6,20 +6,16 @@ TEnd = 7200 # [s]
 EpisodeLength = 3600 # [s]
 
 [Grid]
-# File = grids/test_2cstokes2p2c.dgf # unused, if interface mesh creator is used
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.25 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.5 # [m]
+Cells0 = 10
+Cells1 = 12 12
+Grading0 = 1.0
+Grading1 = 1.2 0.8
+Positions0 = 0.0 0.25
+Positions1 = 0.0 0.25 0.5
+
 RunUpDistanceX = 0.0 # [m] Horizontal position without coupling to PM
 NoDarcyX = 0.0 # [m] Horizontal position without PM below
 InterfacePosY = 0.25 # [m] Vertical position of coupling interface
-# Number of elements in x-, y-, z-direction
-NumberOfCellsX = 10
-NumberOfCellsY = 25
-# Grading and refinement of the mesh in y direction
-GradingFactorY = 1.1
-RefineTopY = false
 
 [Output]
 NameFF = stokes2c
diff --git a/test/multidomain/2czeroeq2p2c/2czeroeq2p2cproblem.hh b/test/multidomain/2czeroeq2p2c/2czeroeq2p2cproblem.hh
index e69714d4c05b27dbba69a61681feda18e448e7dd..8254b1fffc40caa3f353eeaf1e5aa7a624e5473e 100644
--- a/test/multidomain/2czeroeq2p2c/2czeroeq2p2cproblem.hh
+++ b/test/multidomain/2czeroeq2p2c/2czeroeq2p2cproblem.hh
@@ -28,7 +28,6 @@
 #include <dune/grid/common/gridinfo.hh>
 #include <dune/grid/io/file/dgfparser.hh>
 
-#include <dumux/io/interfacegridcreator.hh>
 #include <dumux/material/fluidsystems/h2oairfluidsystem.hh>
 #include <dumux/multidomain/common/multidomainproblem.hh>
 #include <dumux/multidomain/2cstokes2p2c/2cstokes2p2clocaloperator.hh>
@@ -48,13 +47,7 @@ namespace Properties
 NEW_TYPE_TAG(TwoCZeroEqTwoPTwoCProblem, INHERITS_FROM(TwoCStokesTwoPTwoC));
 
 // Set the grid type
-#if HAVE_UG
-SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, Grid, Dune::UGGrid<2>);
-#elif HAVE_DUNE_ALUGRID
-SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, Grid, Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>);
-#else
-SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, Grid, Dune::YaspGrid<2>);
-#endif
+SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, Grid, Dune::YaspGrid<2, Dune::TensorProductCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 2> >);
 
 // Set the global problem
 SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, Problem, TwoCZeroEqTwoPTwoCProblem<TypeTag>);
@@ -89,9 +82,6 @@ SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, LinearSolver, SuperLUBackend<TypeTag>);
 #else
 SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, LinearSolver, UMFPackBackend<TypeTag>);
 #endif
-
-// Use the interface grid creator to create the grid
-SET_TYPE_PROP(TwoCZeroEqTwoPTwoCProblem, GridCreator, Dumux::InterfaceGridCreator<TypeTag>);
 }
 
 
diff --git a/test/multidomain/2czeroeq2p2c/2p2csubproblem.hh b/test/multidomain/2czeroeq2p2c/2p2csubproblem.hh
index d86c89ff4b84431e71fd4b067895724f99ac9aa8..5d906b4d45d2c2524a7a9155f7b1e332ae597b5b 100644
--- a/test/multidomain/2czeroeq2p2c/2p2csubproblem.hh
+++ b/test/multidomain/2czeroeq2p2c/2p2csubproblem.hh
@@ -139,11 +139,12 @@ public:
         : ParentType(timeManager, gridView)
     {
         Scalar noDarcyX = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, NoDarcyX);
-        Scalar xMin = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
 
-        bBoxMin_[0] = std::max(xMin,noDarcyX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
-        bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftY);
+        bBoxMin_[0] = std::max(positions0.front(),noDarcyX);
+        bBoxMax_[0] = positions0.back();
+        bBoxMin_[1] = positions1.front();
         bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
 
diff --git a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.cc b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.cc
index 35cc15c1d062913a51c5f03603d803bfa1c3ad5f..a43adecf2ba88b49fcb4cc24a8aae83577f3def1 100644
--- a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.cc
+++ b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.cc
@@ -50,14 +50,6 @@ void printUsage(const char *progName, const std::string &errorMsg)
         errorMessageOut += errorMsg;
         errorMessageOut += "\nThe list of mandatory options for this program is:\n"
                            "[Grid]\n"
-                           "LowerLeftX               Minumum x-coordinate [m]\n"
-                           "UpperRightX              Maximum x-coordinate [m]\n"
-                           "LowerLeftY               Minumum y-coordinate [m]\n"
-                           "UpperRightY              Maximum y-coordinate [m]\n"
-                           "NumberOfCellsX           Number of cells in x-direction\n"
-                           "NumberOfCellsY           Number of cells in y-direction\n"
-                           "GradingFactorY           Vertical grading of the cells\n"
-                           "RefineTopY               Specifies whethter the top of the free flow will be refined\n"
                            "InterfacePosY            Vertical position of the interface [m]\n"
                            "NoDarcyX                 Horizontal position where the porous medium starts [m]\n"
                            "\n"
diff --git a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.input b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.input
index f1634850388f252b446db95a7881ab5ca2e5b441..5d9b70586b74c56ef7c0dd93bf516f77993a710d 100644
--- a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.input
+++ b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c.input
@@ -5,17 +5,13 @@ TEnd = 518400 # [s] # 518400 = 6 days
 EpisodeLength = 8e5 # [s] # 43200
 
 [Grid]
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.5 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.75 # [m]
-# Number of elements in x-, y-direction
-NumberOfCellsX = 20
-NumberOfCellsY = 40
-# Grading and refinement of the mesh
-GradingFactorY = 1.16
-RefineTopY = false
-# Position information
+Cells0 = 40
+Cells1 = 20 20
+Grading0 = 1.0
+Grading1 = 1.2 0.8
+Positions0 = 0.0 0.5
+Positions1 = 0.0 0.25 0.75
+
 NoDarcyX = 0.25 # [m] # Horizontal position without PM below
 RunUpDistanceX = 0.26 # [m] # Horizontal position without Coupling to PM
 InterfacePosY = 0.25 # [m] # Vertical position of coupling interface
diff --git a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c_reference.input b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c_reference.input
index c545c0ecc55d55d560f164e606ecdac04e86b3ef..18054ff91a015aa8bc30faa1ac16cf58e03bae13 100644
--- a/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c_reference.input
+++ b/test/multidomain/2czeroeq2p2c/test_2czeroeq2p2c_reference.input
@@ -5,17 +5,13 @@ TEnd = 86400 # [s]
 EpisodeLength = 8e5 # [s]
 
 [Grid]
-LowerLeftX = 0.0 # [m]
-UpperRightX = 0.5 # [m]
-LowerLeftY = 0.0 # [m]
-UpperRightY = 0.75 # [m]
-# Number of elements in x-, y-direction
-NumberOfCellsX = 10
-NumberOfCellsY = 25
-# Grading and refinement of the mesh
-GradingFactorY = 1.1
-RefineTopY = false
-# Position information
+Cells0 = 10
+Cells1 = 12 12
+Grading0 = 1.0
+Grading1 = 1.1 0.9
+Positions0 = 0.0 0.5
+Positions1 = 0.0 0.25 0.5
+
 NoDarcyX = 0.25 # [m] # Horizontal position without PM below
 RunUpDistanceX = 0.26 # [m] # Horizontal position without Coupling to PM
 InterfacePosY = 0.25 # [m] # Vertical position of coupling interface
diff --git a/test/multidomain/2czeroeq2p2c/zeroeq2csubproblem.hh b/test/multidomain/2czeroeq2p2c/zeroeq2csubproblem.hh
index 0ecbcd611a9f7d8d9adfe2606f1adea69bfc50b3..8d8f1029bb031d1272139386c6b78b6b40238292 100644
--- a/test/multidomain/2czeroeq2p2c/zeroeq2csubproblem.hh
+++ b/test/multidomain/2czeroeq2p2c/zeroeq2csubproblem.hh
@@ -158,10 +158,13 @@ public:
     ZeroEq2cSubProblem(TimeManager &timeManager, const GridView gridView)
         : ParentType(timeManager, gridView)
     {
-        bBoxMin_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, LowerLeftX);
-        bBoxMax_[0] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightX);
+        std::vector<Scalar> positions0 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions0);
+        std::vector<Scalar> positions1 = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::vector<Scalar>, Grid, Positions1);
+
+        bBoxMin_[0] = positions0.front();
+        bBoxMax_[0] = positions0.back();
         bBoxMin_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, InterfacePosY);
-        bBoxMax_[1] = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, UpperRightY);
+        bBoxMax_[1] = positions1.back();
         runUpDistanceX_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, Grid, RunUpDistanceX); // first part of the interface without coupling
 
         refVelocity_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, FreeFlow, RefVelocity);
diff --git a/test/porousmediumflow/mpnc/implicit/evaporationatmosphereproblem.hh b/test/porousmediumflow/mpnc/implicit/evaporationatmosphereproblem.hh
index 2287165e12be91cde42d1629550e3d6566410ca0..aebfec3991f3fa26ed544d440e255d587dea39d4 100644
--- a/test/porousmediumflow/mpnc/implicit/evaporationatmosphereproblem.hh
+++ b/test/porousmediumflow/mpnc/implicit/evaporationatmosphereproblem.hh
@@ -48,11 +48,7 @@
 
 #include <dune/common/parametertreeparser.hh>
 
-#include <dune/grid/io/file/dgfparser/dgfug.hh>
 #include <dune/grid/io/file/dgfparser/dgfyasp.hh>
-#if HAVE_DUNE_ALUGRID
-#include <dune/alugrid/grid.hh>
-#endif
 
 #include <dumux/implicit/mpnc/mpncmodelkinetic.hh>
 #include <dumux/implicit/common/implicitporousmediaproblem.hh>
@@ -60,7 +56,6 @@
 
 #include <dumux/material/fluidsystems/h2on2fluidsystemkinetic.hh>
 #include <dumux/io/gnuplotinterface.hh>
-#include <dumux/io/interfacegridcreator.hh>
 #include <dumux/io/plotoverline2d.hh>
 
 #include <dumux/material/fluidstates/nonequilibriumfluidstate.hh>
@@ -83,17 +78,7 @@ NEW_TYPE_TAG(EvaporationAtmosphereProblem,
              INHERITS_FROM(BoxMPNCKinetic, EvaporationAtmosphereSpatialParams));
 
 // Set the grid type
-SET_PROP(EvaporationAtmosphereProblem, Grid)
-{
-#if HAVE_DUNE_ALUGRID
-    typedef typename Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming> type;
-#else
-    typedef typename Dune::UGGrid<2> type;
-#endif
-};
-
-// Use the interface grid creator to create the grid
-SET_TYPE_PROP(EvaporationAtmosphereProblem, GridCreator, InterfaceGridCreator<TypeTag>);
+SET_TYPE_PROP(EvaporationAtmosphereProblem, Grid, Dune::YaspGrid<2, Dune::TensorProductCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 2> >);
 
 // Set the problem property
 SET_TYPE_PROP(EvaporationAtmosphereProblem,
diff --git a/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.cc b/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.cc
index 63fbf53c28a081aa09350c8eaa5b7e1a3ea1724f..deee9d365e9acbbad0ff926a3af776a717e1d529 100644
--- a/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.cc
+++ b/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.cc
@@ -43,14 +43,6 @@ void printUsage(const char *progName, const std::string &errorMsg)
         errorMessageOut += errorMsg;
         errorMessageOut += "\nAn uncomplete list of mandatory options for this program is:\n"
                            "[Grid]\n"
-                           "LowerLeftX               Minumum x-coordinate [m]\n"
-                           "UpperRightX              Maximum x-coordinate [m]\n"
-                           "LowerLeftY               Minumum y-coordinate [m]\n"
-                           "UpperRightY              Maximum y-coordinate [m]\n"
-                           "NumberOfCellsX           Number of cells in x-direction\n"
-                           "NumberOfCellsY           Number of cells in y-direction\n"
-                           "GradingFactorY           Vertical grading of the cells\n"
-                           "RefineTop                Specifies whethter the top of the free flow will be refined\n"
                            "InterfacePosY            Vertical position of the interface [m]\n"
                            "\n";
 
@@ -61,12 +53,6 @@ void printUsage(const char *progName, const std::string &errorMsg)
 
 int main(int argc, char** argv)
 {
-#if !HAVE_UG && !HAVE_DUNE_ALUGRID
-#warning Evaporation Atmosphere not built, needs either UG or dune-ALUGrid for the log mesh.
-    std::cerr << "Evaporation Atmosphere not built, needs either UG or dune-ALUGrid for the log mesh." << std::endl;
-    return 77;
-#else
     typedef TTAG(EvaporationAtmosphereProblem) ProblemTypeTag;
-    return Dumux::start<ProblemTypeTag>(argc, argv, printUsage);//, usage);
-#endif
+    return Dumux::start<ProblemTypeTag>(argc, argv, printUsage);
 }
diff --git a/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.input b/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.input
index 21ee7b1f1d4d841be8018d6147d8542f741c9c84..9b532bacb944d91a9997030a01fba7ebfbd11e49 100644
--- a/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.input
+++ b/test/porousmediumflow/mpnc/implicit/test_boxmpnckinetic.input
@@ -4,6 +4,13 @@ TEnd = 10 # [s]
 MaxTimeStepSize = 2e20 # maximum allowed timestep size
 
 [Grid]
+Cells0 = 14
+Cells1 = 15 15
+Grading0 = 1.0
+Grading1 = 1.2 0.833333
+Positions0 = 0.0 1.0
+Positions1 = 0.0 0.25 0.5
+
 NumberOfCellsX = 14 #
 NumberOfCellsY = 30 #
 LowerLeftX = 0.0
diff --git a/test/references/2cnistokes2p2cni-ff-reference.vtu b/test/references/2cnistokes2p2cni-ff-reference.vtu
index f1ddb2a8eb1d94d21bff92104f3ed5a53b685cf4..ffaf3dcdcf9584e99a53ad14c2c13b5da435aec6 100644
--- a/test/references/2cnistokes2p2cni-ff-reference.vtu
+++ b/test/references/2cnistokes2p2cni-ff-reference.vtu
@@ -4,7 +4,7 @@
     <Piece NumberOfCells="48" NumberOfPoints="63">
       <PointData Scalars="temperature" Vectors="v">
         <DataArray type="Float32" Name="temperature" NumberOfComponents="1" format="ascii">
-          296.984 296.98 298.15 298.145 296.98 298.141 296.983 298.136 296.987 298.132 296.992 298.127
+          296.984 296.98 298.15 298.145 296.98 298.141 296.983 298.136 296.987 298.132 296.991 298.127
           297.002 298.124 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15
           298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15
           298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15
@@ -28,19 +28,19 @@
           0.000675955 0.000337971 0
         </DataArray>
         <DataArray type="Float32" Name="x_gas^H2O" NumberOfComponents="1" format="ascii">
-          0.0295603 0.0295517 0.0127981 0.0128639 0.0295518 0.0129291 0.0295586 0.0129942 0.0295655 0.0130591 0.0295729 0.0131238
-          0.0295911 0.0131558 0.0127981 0.0127981 0.0127982 0.0127984 0.0127986 0.0127989 0.0127989 0.0127981 0.0127981 0.0127981
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index a16e7cb2f9cbcc15f556f60e4d7d45b63420dc8f..922df30b5b9b4cfe434a0ddda0efbf3a4ab2c1c2 100644
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index 133d51d51ad0e992ab928d1a6e580af9178e7d98..122b162b210c996651836bc34bfc2e7cb6b333b5 100644
--- a/test/references/2cnistokes2p2cniboundarylayer-ff-reference.vtu
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index d10fe9587d2d9bc182a3b7dec999322481339f7c..6df036285d143bcb4a16fed3b256ae4b49d33a86 100644
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@@ -104,26 +104,26 @@
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diff --git a/test/references/2cnizeroeq2p2cni-ff-reference.vtu b/test/references/2cnizeroeq2p2cni-ff-reference.vtu
index f2e7eecc809c65358e13a0ab3528e2d6b47ee3f1..97cecca274bc7a8720fa8eea7cd3cb42991ffd1a 100644
--- a/test/references/2cnizeroeq2p2cni-ff-reference.vtu
+++ b/test/references/2cnizeroeq2p2cni-ff-reference.vtu
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diff --git a/test/references/2cstokes2p2c-ff-reference.vtu b/test/references/2cstokes2p2c-ff-reference.vtu
index 9d3f299ba2351885cfe1fd1d878e66b0daf0cdbb..f1de19a77d55bfcd9c14dcd89a02f00bef364ba9 100644
--- a/test/references/2cstokes2p2c-ff-reference.vtu
+++ b/test/references/2cstokes2p2c-ff-reference.vtu
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diff --git a/test/references/2cstokes2p2c-pm-reference.vtu b/test/references/2cstokes2p2c-pm-reference.vtu
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diff --git a/test/references/2czeroeq2p2c-ff-reference.vtu b/test/references/2czeroeq2p2c-ff-reference.vtu
index d572f61cdee4a48bbe70cbd03d8df04043c0a842..bcb181a49cc2c0fd42a5fdce6c4cb9c2e9c2d353 100644
--- a/test/references/2czeroeq2p2c-ff-reference.vtu
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diff --git a/test/references/2czeroeq2p2c-pm-reference.vtu b/test/references/2czeroeq2p2c-pm-reference.vtu
index 5756454e067490ca3d3238ddcb8b0e29e816763e..fcff9f0306ff6f42854ae174abbfa36b432465ef 100644
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+++ b/test/references/2czeroeq2p2c-pm-reference.vtu
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