diff --git a/test/freeflow/navierstokes/CMakeLists.txt b/test/freeflow/navierstokes/CMakeLists.txt
index 172941835429ee8a0e11d215435ceb169dd38625..35794615eb04968d3c31526c95e1e05729dfb58e 100644
--- a/test/freeflow/navierstokes/CMakeLists.txt
+++ b/test/freeflow/navierstokes/CMakeLists.txt
@@ -97,3 +97,24 @@ dune_add_test(NAME test_navierstokes_angeli
--files ${CMAKE_SOURCE_DIR}/test/references/test_angeli-reference.vtu
${CMAKE_CURRENT_BINARY_DIR}/test_angeli-00045.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_navierstokes_angeli")
+
+
+dune_add_test(NAME test_stokes_channel_3d
+ SOURCES test_stokes_channel_3d.cc
+ COMPILE_DEFINITIONS DIM_3D=1
+ CMAKE_GUARD HAVE_UMFPACK
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/stokes_channel_3d-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_stokes_channel_3d-00001.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_stokes_channel_3d")
+
+dune_add_test(NAME test_stokes_channel_pseudo3d
+ SOURCES test_stokes_channel_3d.cc
+ COMPILE_DEFINITIONS DIM_3D=0
+ CMAKE_GUARD HAVE_UMFPACK
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/stokes_channel_pseudo3d-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_stokes_channel_pseudo3d-00001.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_stokes_channel_pseudo3d")
diff --git a/test/freeflow/navierstokes/stokeschannel3dproblem.hh b/test/freeflow/navierstokes/stokeschannel3dproblem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..1890daef5aaaea9806a6e869304bb7ee90617c85
--- /dev/null
+++ b/test/freeflow/navierstokes/stokeschannel3dproblem.hh
@@ -0,0 +1,266 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Channel flow test for the staggered grid (Navier-)Stokes model.
+ *
+ * The channel is either modeled in 3D or in 2D, using an additional wall friction term
+ * to mimic the 3D behavior of the flow.
+ *
+ */
+#ifndef DUMUX_3D_CHANNEL_PROBLEM_HH
+#define DUMUX_3D_CHANNEL_PROBLEM_HH
+
+#include <dumux/material/fluidsystems/1pliquid.hh>
+#include <dumux/material/components/constant.hh>
+
+#include <dumux/freeflow/navierstokes/problem.hh>
+#include <dumux/discretization/staggered/freeflow/properties.hh>
+#include <dumux/freeflow/navierstokes/model.hh>
+#include <dune/common/float_cmp.hh>
+
+namespace Dumux
+{
+
+
+template <class TypeTag>
+class ThreeDChannelTestProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(ThreeDChannelTestTypeTag, INHERITS_FROM(StaggeredFreeFlowModel, NavierStokes));
+
+// the fluid system
+SET_PROP(ThreeDChannelTestTypeTag, FluidSystem)
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
+};
+
+// Set the grid type
+#if DIM_3D
+SET_TYPE_PROP(ThreeDChannelTestTypeTag, Grid, Dune::YaspGrid<3>);
+#else
+SET_TYPE_PROP(ThreeDChannelTestTypeTag, Grid, Dune::YaspGrid<2>);
+#endif
+
+// Set the problem property
+SET_TYPE_PROP(ThreeDChannelTestTypeTag, Problem, ThreeDChannelTestProblem<TypeTag> );
+
+SET_BOOL_PROP(ThreeDChannelTestTypeTag, EnableFVGridGeometryCache, true);
+SET_BOOL_PROP(ThreeDChannelTestTypeTag, EnableGridFluxVariablesCache, true);
+SET_BOOL_PROP(ThreeDChannelTestTypeTag, EnableGridVolumeVariablesCache, true);
+}
+
+/*!
+ * \brief Test problem for the one-phase model:
+ \todo doc me!
+ */
+template <class TypeTag>
+class ThreeDChannelTestProblem : public NavierStokesProblem<TypeTag>
+{
+ using ParentType = NavierStokesProblem<TypeTag>;
+
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using Element = typename GridView::template Codim<0>::Entity;
+
+ using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+ using FVElementGeometry = typename FVGridGeometry::LocalView;
+ using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+ using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+
+ static constexpr int dim = GridView::dimension;
+ static constexpr int dimWorld = GridView::dimensionworld;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+ using CellCenterPrimaryVariables = typename GET_PROP_TYPE(TypeTag, CellCenterPrimaryVariables);
+ using FacePrimaryVariables = typename GET_PROP_TYPE(TypeTag, FacePrimaryVariables);
+
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+
+ static constexpr bool enablePseudoThreeDWallFriction = !DIM_3D;
+
+public:
+ ThreeDChannelTestProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+ : ParentType(fvGridGeometry), eps_(1e-6)
+ {
+ deltaP_ = getParam<Scalar>("Problem.DeltaP");
+ height_ = getParam<Scalar>("Problem.Height");
+ rho_ = getParam<Scalar>("Component.LiquidDensity");
+ nu_ = getParam<Scalar>("Component.LiquidKinematicViscosity");
+
+ if(dim == 3 && !Dune::FloatCmp::eq(height_, this->fvGridGeometry().bBoxMax()[2]))
+ DUNE_THROW(Dune::InvalidStateException, "z-dimension must equal height");
+
+ if(enablePseudoThreeDWallFriction)
+ extrusionFactor_ = 2.0/3.0 * height_;
+ else
+ extrusionFactor_ = 1.0;
+ }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief Return the temperature within the domain in [K].
+ *
+ * This problem assumes a temperature of 10 degrees Celsius.
+ */
+ Scalar temperature() const
+ { return 273.15 + 10; } // 10C
+
+
+ /*!
+ * \brief Evaluate the source term for all phases within a given
+ * sub-control-volume face.
+ */
+ using ParentType::source;
+ template<class ElementVolumeVariables, class ElementFaceVariables>
+ NumEqVector source(const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const ElementFaceVariables& elemFaceVars,
+ const SubControlVolumeFace &scvf) const
+ {
+ auto source = NumEqVector(0.0);
+
+#if !DIM_3D
+ static const Scalar height = getParam<Scalar>("Problem.Height");
+ static const Scalar factor = getParam<Scalar>("Problem.PseudoWallFractionFactor", 8.0);
+ source[scvf.directionIndex()] = this->pseudo3DWallFriction(scvf, elemVolVars, elemFaceVars, height, factor);
+#endif
+
+ return source;
+ }
+
+ Scalar extrusionFactorAtPos(const GlobalPosition& pos) const
+ { return extrusionFactor_; }
+
+
+ // \}
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary control volume.
+ *
+ * \param globalPos The position of the center of the finite volume
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+
+ // set Dirichlet values for the velocity everywhere
+ values.setDirichlet(Indices::momentumXBalanceIdx);
+ values.setDirichlet(Indices::momentumYBalanceIdx);
+ if(dim == 3)
+ values.setDirichlet(Indices::momentumZBalanceIdx);
+
+ // set a fixed pressure in one cell
+ if (isOutlet_(globalPos) || isInlet_(globalPos))
+ {
+ values.setDirichlet(Indices::conti0EqIdx);
+ values.setOutflow(Indices::momentumXBalanceIdx);
+ values.setOutflow(Indices::momentumYBalanceIdx);
+ if(dim == 3)
+ values.setOutflow(Indices::momentumZBalanceIdx);
+ }
+ else
+ values.setOutflow(Indices::conti0EqIdx);
+
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * control volume.
+ *
+ * \param globalPos The center of the finite volume which ought to be set.
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables values(0.0);
+
+ if(isInlet_(globalPos))
+ values[Indices::pressureIdx] = 1e5 + deltaP_;
+
+ if(isOutlet_(globalPos))
+ values[Indices::pressureIdx] = 1e5;
+
+ return values;
+ }
+
+ // \}
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * \param globalPos The global position
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables values(0.0);
+ return values;
+ }
+
+ //! Returns the analytical solution for the flux through the rectangular channel
+ Scalar analyticalFlux() const
+ {
+ const Scalar h = height_;
+ const Scalar w = this->fvGridGeometry().bBoxMax()[1];
+ const Scalar L = this->fvGridGeometry().bBoxMax()[0];
+
+ const Scalar mu = nu_*rho_;
+
+ return h*h*h * w * deltaP_ / (12*mu*L) * (1.0 - 0.630 * h/w);
+ }
+
+private:
+
+ bool isInlet_(const GlobalPosition& globalPos) const
+ {
+ return globalPos[0] < eps_;
+ }
+
+ bool isOutlet_(const GlobalPosition& globalPos) const
+ {
+ return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_;
+ }
+
+ Scalar eps_;
+ Scalar deltaP_;
+ Scalar extrusionFactor_;
+ Scalar height_;
+ Scalar rho_;
+ Scalar nu_;
+};
+} //end namespace
+
+#endif
diff --git a/test/freeflow/navierstokes/test_stokes_channel_3d.cc b/test/freeflow/navierstokes/test_stokes_channel_3d.cc
new file mode 100644
index 0000000000000000000000000000000000000000..bffaab16dac9f7384178ae88e1c7e042fc37540b
--- /dev/null
+++ b/test/freeflow/navierstokes/test_stokes_channel_3d.cc
@@ -0,0 +1,288 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+ #include <config.h>
+
+ #include <ctime>
+ #include <iostream>
+
+ #include <dune/common/parallel/mpihelper.hh>
+ #include <dune/common/timer.hh>
+ #include <dune/grid/io/file/dgfparser/dgfexception.hh>
+ #include <dune/grid/io/file/vtk.hh>
+ #include <dune/istl/io.hh>
+
+
+#include "stokeschannel3dproblem.hh"
+
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/valgrind.hh>
+#include <dumux/common/dumuxmessage.hh>
+#include <dumux/common/defaultusagemessage.hh>
+
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/nonlinear/newtonsolver.hh>
+
+#include <dumux/assembly/staggeredfvassembler.hh>
+#include <dumux/assembly/diffmethod.hh>
+
+#include <dumux/io/staggeredvtkoutputmodule.hh>
+#include <dumux/freeflow/navierstokes/staggered/fluxoversurface.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ if (errorMsg.size() > 0) {
+ std::string errorMessageOut = "\nUsage: ";
+ errorMessageOut += progName;
+ errorMessageOut += " [options]\n";
+ errorMessageOut += errorMsg;
+ errorMessageOut += "\n\nThe list of mandatory arguments for this program is:\n"
+ "\t-TimeManager.TEnd End of the simulation [s] \n"
+ "\t-TimeManager.DtInitial Initial timestep size [s] \n"
+ "\t-Grid.File Name of the file containing the grid \n"
+ "\t definition in DGF format\n"
+ "\t-SpatialParams.LensLowerLeftX x-coordinate of the lower left corner of the lens [m] \n"
+ "\t-SpatialParams.LensLowerLeftY y-coordinate of the lower left corner of the lens [m] \n"
+ "\t-SpatialParams.LensUpperRightX x-coordinate of the upper right corner of the lens [m] \n"
+ "\t-SpatialParams.LensUpperRightY y-coordinate of the upper right corner of the lens [m] \n"
+ "\t-SpatialParams.Permeability Permeability of the domain [m^2] \n"
+ "\t-SpatialParams.PermeabilityLens Permeability of the lens [m^2] \n";
+
+ std::cout << errorMessageOut
+ << "\n";
+ }
+}
+
+int main(int argc, char** argv) try
+{
+ using namespace Dumux;
+
+ // define the type tag for this problem
+ using TypeTag = TTAG(ThreeDChannelTestTypeTag);
+
+ // initialize MPI, finalize is done automatically on exit
+ const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
+
+ // print dumux start message
+ if (mpiHelper.rank() == 0)
+ DumuxMessage::print(/*firstCall=*/true);
+
+ // parse command line arguments and input file
+ Parameters::init(argc, argv, usage);
+
+ // try to create a grid (from the given grid file or the input file)
+ using GridCreator = typename GET_PROP_TYPE(TypeTag, GridCreator);
+ GridCreator::makeGrid();
+ GridCreator::loadBalance();
+
+ ////////////////////////////////////////////////////////////
+ // run instationary non-linear problem on this grid
+ ////////////////////////////////////////////////////////////
+
+ // we compute on the leaf grid view
+ const auto& leafGridView = GridCreator::grid().leafGridView();
+
+ // create the finite volume grid geometry
+ using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+ auto fvGridGeometry = std::make_shared<FVGridGeometry>(leafGridView);
+ fvGridGeometry->update();
+
+ // the problem (boundary conditions)
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ auto problem = std::make_shared<Problem>(fvGridGeometry);
+
+ // the solution vector
+ using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+ static constexpr auto cellCenterIdx = FVGridGeometry::cellCenterIdx();
+ static constexpr auto faceIdx = FVGridGeometry::faceIdx();
+ const auto numDofsCellCenter = leafGridView.size(0);
+ const auto numDofsFace = leafGridView.size(1);
+ SolutionVector x;
+ x[cellCenterIdx].resize(numDofsCellCenter);
+ x[faceIdx].resize(numDofsFace);
+
+ // the grid variables
+ using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
+ auto gridVariables = std::make_shared<GridVariables>(problem, fvGridGeometry);
+ gridVariables->init(x);
+
+ // intialize the vtk output module
+ using VtkOutputFields = typename GET_PROP_TYPE(TypeTag, VtkOutputFields);
+ StaggeredVtkOutputModule<TypeTag> vtkWriter(*problem, *fvGridGeometry, *gridVariables, x, problem->name());
+ VtkOutputFields::init(vtkWriter); //!< Add model specific output fields
+ vtkWriter.write(0.0);
+
+ // the assembler with time loop for instationary problem
+ using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>;
+ auto assembler = std::make_shared<Assembler>(problem, fvGridGeometry, gridVariables);
+
+ // the linear solver
+ using LinearSolver = Dumux::UMFPackBackend;
+ auto linearSolver = std::make_shared<LinearSolver>();
+
+ // the non-linear solver
+ using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>;
+ NewtonSolver nonLinearSolver(assembler, linearSolver);
+
+ // set up two planes over which fluxes are calculated
+ FluxOverSurface<TypeTag> flux(*assembler, x);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalPosition = Dune::FieldVector<Scalar, GridView::dimensionworld>;
+
+ const Scalar xMin = fvGridGeometry->bBoxMin()[0];
+ const Scalar xMax = fvGridGeometry->bBoxMax()[0];
+ const Scalar yMin = fvGridGeometry->bBoxMin()[1];
+ const Scalar yMax = fvGridGeometry->bBoxMax()[1];
+#if DIM_3D
+ const Scalar zMin = fvGridGeometry->bBoxMin()[2];
+ const Scalar zMax = fvGridGeometry->bBoxMax()[2];
+#endif
+
+ // The first plane shall be placed at the middle of the channel.
+ // If we have an odd number of cells in x-direction, there would not be any cell faces
+ // at the postion of the plane (which is required for the flux calculation).
+ // In this case, we add half a cell-width to the x-position in order to make sure that
+ // the cell faces lie on the plane. This assumes a regular cartesian grid.
+ // The second plane is placed at the outlet of the channel.
+#if DIM_3D
+ const auto p0inlet = GlobalPosition{xMin, yMin, zMin};
+ const auto p1inlet = GlobalPosition{xMin, yMax, zMin};
+ const auto p2inlet = GlobalPosition{xMin, yMin, zMax};
+ const auto p3inlet = GlobalPosition{xMin, yMax, zMax};
+ flux.addSurface("inlet", p0inlet, p1inlet, p2inlet, p3inlet);
+#else
+ const auto p0inlet = GlobalPosition{xMin, yMin};
+ const auto p1inlet = GlobalPosition{xMin, yMax};
+ flux.addSurface("inlet", p0inlet, p1inlet);
+#endif
+
+ const Scalar planePosMiddleX = xMin + 0.5*(xMax - xMin);
+ const int numCellsX = getParam<std::vector<int>>("Grid.Cells")[0];
+ const Scalar offsetX = (numCellsX % 2 == 0) ? 0.0 : 0.5*((xMax - xMin) / numCellsX);
+
+#if DIM_3D
+ const auto p0middle = GlobalPosition{planePosMiddleX + offsetX, yMin, zMin};
+ const auto p1middle = GlobalPosition{planePosMiddleX + offsetX, yMax, zMin};
+ const auto p2middle = GlobalPosition{planePosMiddleX + offsetX, yMin, zMax};
+ const auto p3middle = GlobalPosition{planePosMiddleX + offsetX, yMax, zMax};
+ flux.addSurface("middle", p0middle, p1middle, p2middle, p3middle);
+#else
+ const auto p0middle = GlobalPosition{planePosMiddleX + offsetX, yMin};
+ const auto p1middle = GlobalPosition{planePosMiddleX + offsetX, yMax};
+flux.addSurface("middle", p0middle, p1middle);
+#endif
+
+ // The second plane is placed at the outlet of the channel.
+#if DIM_3D
+ const auto p0outlet = GlobalPosition{xMax, yMin, zMin};
+ const auto p1outlet = GlobalPosition{xMax, yMax, zMin};
+ const auto p2outlet = GlobalPosition{xMax, yMin, zMax};
+ const auto p3outlet = GlobalPosition{xMax, yMax, zMax};
+ flux.addSurface("outlet", p0outlet, p1outlet, p2outlet, p3outlet);
+#else
+ const auto p0outlet = GlobalPosition{xMax, yMin};
+ const auto p1outlet = GlobalPosition{xMax, yMax};
+ flux.addSurface("outlet", p0outlet, p1outlet);
+#endif
+
+ // linearize & solve
+ Dune::Timer timer;
+ nonLinearSolver.solve(x);
+
+ // write vtk output
+ vtkWriter.write(1.0);
+
+ // calculate and print mass fluxes over the planes
+ flux.calculateMassOrMoleFluxes();
+ if(GET_PROP_TYPE(TypeTag, ModelTraits)::enableEnergyBalance())
+ {
+ std::cout << "mass / energy flux at inlet is: " << flux.netFlux("inlet") << std::endl;
+ std::cout << "mass / energy flux at middle is: " << flux.netFlux("middle") << std::endl;
+ std::cout << "mass / energy flux at outlet is: " << flux.netFlux("outlet") << std::endl;
+ }
+ else
+ {
+ std::cout << "mass flux at inlet is: " << flux.netFlux("inlet") << std::endl;
+ std::cout << "mass flux at middle is: " << flux.netFlux("middle") << std::endl;
+ std::cout << "mass flux at outlet is: " << flux.netFlux("outlet") << std::endl;
+ }
+
+ // calculate and print volume fluxes over the planes
+ flux.calculateVolumeFluxes();
+ std::cout << "volume flux at inlet is: " << flux.netFlux("inlet")[0] << std::endl;
+ std::cout << "volume flux at middle is: " << flux.netFlux("middle")[0] << std::endl;
+ std::cout << "volume flux at outlet is: " << flux.netFlux("outlet")[0] << std::endl;
+
+
+ timer.stop();
+
+ std::cout << "analyticalFlux: " << problem->analyticalFlux() << std::endl;
+
+ const auto& comm = Dune::MPIHelper::getCollectiveCommunication();
+ std::cout << "Simulation took " << timer.elapsed() << " seconds on "
+ << comm.size() << " processes.\n"
+ << "The cumulative CPU time was " << timer.elapsed()*comm.size() << " seconds.\n";
+
+
+ ////////////////////////////////////////////////////////////
+ // finalize, print dumux message to say goodbye
+ ////////////////////////////////////////////////////////////
+
+ // print dumux end message
+ if (mpiHelper.rank() == 0)
+ {
+ Parameters::print();
+ DumuxMessage::print(/*firstCall=*/false);
+ }
+
+ return 0;
+} // end main
+catch (Dumux::ParameterException &e)
+{
+ std::cerr << std::endl << e << " ---> Abort!" << std::endl;
+ return 1;
+}
+catch (Dune::DGFException & e)
+{
+ std::cerr << "DGF exception thrown (" << e <<
+ "). Most likely, the DGF file name is wrong "
+ "or the DGF file is corrupted, "
+ "e.g. missing hash at end of file or wrong number (dimensions) of entries."
+ << " ---> Abort!" << std::endl;
+ return 2;
+}
+catch (Dune::Exception &e)
+{
+ std::cerr << "Dune reported error: " << e << " ---> Abort!" << std::endl;
+ return 3;
+}
+catch (...)
+{
+ std::cerr << "Unknown exception thrown! ---> Abort!" << std::endl;
+ return 4;
+}
diff --git a/test/freeflow/navierstokes/test_stokes_channel_3d.input b/test/freeflow/navierstokes/test_stokes_channel_3d.input
new file mode 100644
index 0000000000000000000000000000000000000000..ce28a56783b4b492a37b7bad3a5a4aa6c648addb
--- /dev/null
+++ b/test/freeflow/navierstokes/test_stokes_channel_3d.input
@@ -0,0 +1,27 @@
+[Grid]
+UpperRight = 0.005 0.002 0.00025
+Cells = 3 20 10
+
+[Problem]
+Name = test_stokes_channel_3d # name passed to the output routines
+DeltaP = 10
+EnableGravity = false
+Height = 0.00025
+
+[Component]
+LiquidDensity = 1e3
+LiquidKinematicViscosity = 1e-6
+
+[Assembly]
+NumericDifference.BaseEpsilon = 1e-8
+
+[Newton]
+MaxSteps = 10
+MaxRelativeShift = 1e-8
+
+[Vtk]
+AddVelocity = true
+WriteFaceData = false
+
+[FluxOverPlane]
+Verbose = true
diff --git a/test/freeflow/navierstokes/test_stokes_channel_pseudo3d.input b/test/freeflow/navierstokes/test_stokes_channel_pseudo3d.input
new file mode 100644
index 0000000000000000000000000000000000000000..462959a1c6ea09ca25b417ac58fc865659cf79c1
--- /dev/null
+++ b/test/freeflow/navierstokes/test_stokes_channel_pseudo3d.input
@@ -0,0 +1,25 @@
+[Grid]
+UpperRight = 0.005 0.002
+Cells = 3 20
+
+[Problem]
+Name = test_stokes_channel_pseudo3d # name passed to the output routines
+DeltaP = 10
+EnableGravity = false
+Height = 0.00025
+
+[Component]
+LiquidDensity = 1e3
+LiquidKinematicViscosity = 1e-6
+
+[Newton]
+MaxSteps = 10
+MaxRelativeShift = 1e-8
+
+[Assembly]
+NumericDifference.BaseEpsilon = 1e-8
+
+
+[Vtk]
+WriteFaceData = false
+AddVelocity = true
diff --git a/test/references/stokes_channel_3d-reference.vtu b/test/references/stokes_channel_3d-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..6fb35f1d50050e938899bf0dbb36b78d1badba5d
--- /dev/null
+++ b/test/references/stokes_channel_3d-reference.vtu
@@ -0,0 +1,1112 @@
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diff --git a/test/references/stokes_channel_pseudo3d-reference.vtu b/test/references/stokes_channel_pseudo3d-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..e46406a57191353ed1dbeaf7f1949b562e1e15c2
--- /dev/null
+++ b/test/references/stokes_channel_pseudo3d-reference.vtu
@@ -0,0 +1,117 @@
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