diff --git a/test/porousmediumflow/tracer/2ptracer/CMakeLists.txt b/test/porousmediumflow/tracer/2ptracer/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2bb9bcf66af03bb329dc138c47df3aac4116b6fb
--- /dev/null
+++ b/test/porousmediumflow/tracer/2ptracer/CMakeLists.txt
@@ -0,0 +1,13 @@
+dune_symlink_to_source_files(FILES "params.input")
+
+dune_add_test(NAME test_2ptracer_lens_tpfa
+ LABELS porousmediumflow tracer
+ SOURCES main.cc
+ CMAKE_GUARD HAVE_UMFPACK
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/test_2ptracer_lens_tpfa_transport-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_2ptracer_lens_tpfa-00050.vtu
+ ${CMAKE_SOURCE_DIR}/test/references/test_2ptracer_lens_tpfa_2p-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_2ptracer_lens_tpfa_2p-00050.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_2ptracer_lens_tpfa params.input -Problem.Name test_2ptracer_lens_tpfa")
diff --git a/test/porousmediumflow/tracer/2ptracer/main.cc b/test/porousmediumflow/tracer/2ptracer/main.cc
new file mode 100644
index 0000000000000000000000000000000000000000..922b8754a45a865f77e529d7d919f031bd91124e
--- /dev/null
+++ b/test/porousmediumflow/tracer/2ptracer/main.cc
@@ -0,0 +1,364 @@
+// -*- 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
+ * \ingroup TracerTests
+ * \brief Test for the 2p tracer CC model
+ */
+#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 <test/porousmediumflow/2p/implicit/incompressible/problem.hh>
+#include "problem_tracer.hh"
+
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/dumuxmessage.hh>
+
+#include <dumux/linear/amgbackend.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/nonlinear/newtonsolver.hh>
+
+#include <dumux/assembly/fvassembler.hh>
+#include <dumux/assembly/diffmethod.hh>
+
+#include <dumux/discretization/method.hh>
+
+#include <dumux/io/vtkoutputmodule.hh>
+#include <dumux/io/grid/gridmanager.hh>
+
+int main(int argc, char** argv) try
+{
+ using namespace Dumux;
+
+ //! define the type tags for this problem
+ using TwoPTypeTag = Properties::TTag::TwoPIncompressibleTpfa;
+ using TracerTypeTag = Properties::TTag::TwoPTracerTestTpfa;
+ //! 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);
+
+ // try to create a grid (from the given grid file or the input file)
+ GridManager<GetPropType<TwoPTypeTag, Properties::Grid>> gridManager;
+ gridManager.init();
+
+ // get some time loop parameters
+ using Scalar = GetPropType<TwoPTypeTag, Properties::Scalar>;
+ const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+ const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+ auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+ // check if we are about to restart a previously interrupted simulation
+ Scalar restartTime = getParam<Scalar>("Restart.Time", 0);
+
+ // instantiate time loop
+ auto timeLoop = std::make_shared<CheckPointTimeLoop<Scalar>>(restartTime, dt, tEnd);
+ timeLoop->setMaxTimeStepSize(maxDt);
+
+ ////////////////////////////////////////////////////////////
+ // set 2p Problem
+ ////////////////////////////////////////////////////////////
+
+ // we compute on the leaf grid view
+ const auto& leafGridView = gridManager.grid().leafGridView();
+
+ // create the finite volume grid geometry
+ using FVGridGeometry = GetPropType<TwoPTypeTag, Properties::FVGridGeometry>;
+ auto fvGridGeometry = std::make_shared<FVGridGeometry>(leafGridView);
+ fvGridGeometry->update();
+
+ // the problem (initial and boundary conditions)
+ using TwoPProblem = GetPropType<TwoPTypeTag, Properties::Problem>;
+ auto twoPProblem = std::make_shared<TwoPProblem>(fvGridGeometry);
+
+ // the solution vector
+ using TwoPSolutionVector = GetPropType<TwoPTypeTag, Properties::SolutionVector>;
+ TwoPSolutionVector p(fvGridGeometry->numDofs());
+ twoPProblem->applyInitialSolution(p);
+ auto pOld = p;
+
+ // maybe update the interface parameters
+ if (ENABLEINTERFACESOLVER)
+ twoPProblem->spatialParams().updateMaterialInterfaceParams(p);
+
+ // the grid variables
+ using TwoPGridVariables = GetPropType<TwoPTypeTag, Properties::GridVariables>;
+ auto twoPGridVariables = std::make_shared<TwoPGridVariables>(twoPProblem, fvGridGeometry);
+ twoPGridVariables->init(p);
+
+ // intialize the vtk output module
+ using TwoPIOFields = GetPropType<TwoPTypeTag, Properties::IOFields>;
+
+ // use non-conforming output for the test with interface solver
+ const auto ncOutput = getParam<bool>("Problem.UseNonConformingOutput", false);
+ VtkOutputModule<TwoPGridVariables, TwoPSolutionVector> twoPVtkWriter(*twoPGridVariables, p, twoPProblem->name()+"_2p", "",
+ (ncOutput ? Dune::VTK::nonconforming : Dune::VTK::conforming));
+
+ TwoPIOFields::initOutputModule(twoPVtkWriter); //!< Add model specific output fields
+ twoPVtkWriter.write(0.0);
+
+ // the assembler with time loop for instationary problem
+ using TwoPAssembler = FVAssembler<TwoPTypeTag, DiffMethod::numeric>;
+ auto twoPAssembler = std::make_shared<TwoPAssembler>(twoPProblem, fvGridGeometry, twoPGridVariables, timeLoop);
+
+ // the linear solver
+ using TwoPLinearSolver = AMGBackend<TwoPTypeTag>;
+ auto twoPLinearSolver = std::make_shared<TwoPLinearSolver>(leafGridView, fvGridGeometry->dofMapper());
+
+ // the non-linear solver
+ using NewtonSolver = Dumux::NewtonSolver<TwoPAssembler, TwoPLinearSolver>;
+ NewtonSolver nonLinearSolver(twoPAssembler, twoPLinearSolver);
+
+ ////////////////////////////////////////////////////////////
+ // set tracer Problem
+ ////////////////////////////////////////////////////////////
+
+ //! the problem (initial and boundary conditions)
+ using TracerProblem = GetPropType<TracerTypeTag, Properties::Problem>;
+ auto tracerProblem = std::make_shared<TracerProblem>(fvGridGeometry);
+
+ //! the solution vector
+ using TracerSolutionVector = GetPropType<TracerTypeTag, Properties::SolutionVector>;
+ TracerSolutionVector x(leafGridView.size(0));
+ tracerProblem->applyInitialSolution(x);
+ auto xOld = x;
+
+ //! initialize the flux, density and saturation vectors
+ std::vector<Scalar> volumeFlux_(fvGridGeometry->numScvf(), 0.0);
+ std::vector<Scalar> density_(fvGridGeometry->numScv(), 0.0);
+ std::vector<Scalar> saturation_(fvGridGeometry->numScv(), 0.0);
+
+ //! the grid variables
+ using TracerGridVariables = GetPropType<TracerTypeTag, Properties::GridVariables>;
+ auto tracerGridVariables = std::make_shared<TracerGridVariables>(tracerProblem, fvGridGeometry);
+ tracerGridVariables->init(x);
+
+ // the linear solver
+ using TracerLinearSolver = AMGBackend<TracerTypeTag>;
+ auto tracerLinearSolver = std::make_shared<TracerLinearSolver>(leafGridView, fvGridGeometry->dofMapper());
+
+ //! the linear system
+ using JacobianMatrix = GetPropType<TracerTypeTag, Properties::JacobianMatrix>;
+ auto A = std::make_shared<JacobianMatrix>();
+ auto r = std::make_shared<TracerSolutionVector>();
+
+ //! the assembler with time loop for instationary problem
+ using TracerAssembler = FVAssembler<TracerTypeTag, DiffMethod::analytic, /*implicit=*/false>;
+ auto tracerAssembler = std::make_shared<TracerAssembler>(tracerProblem, fvGridGeometry, tracerGridVariables, timeLoop);
+ tracerAssembler->setLinearSystem(A, r);
+
+ // set the flux, density and saturation from the 2p problem
+ tracerProblem->spatialParams().setVolumeFlux(volumeFlux_);
+ tracerProblem->spatialParams().setDensity(density_);
+ tracerProblem->spatialParams().setSaturation(saturation_);
+
+ //! initialize the vtk output module
+ VtkOutputModule<TracerGridVariables, TracerSolutionVector> vtkWriter(*tracerGridVariables, x, tracerProblem->name());
+ using TracerIOFields = GetPropType<TracerTypeTag, Properties::IOFields>;
+ TracerIOFields::initOutputModule(vtkWriter); //!< Add model specific output fields
+ using VelocityOutput = GetPropType<TracerTypeTag, Properties::VelocityOutput>;
+ vtkWriter.addVelocityOutput(std::make_shared<VelocityOutput>(*tracerGridVariables));
+ vtkWriter.write(0.0);
+
+ //! set some check points for the time loop
+ timeLoop->setPeriodicCheckPoint(tEnd/50.0);
+
+ ////////////////////////////////////////////////////////////
+ // run instationary non-linear problem
+ ////////////////////////////////////////////////////////////
+
+ // time loop
+ timeLoop->start(); do
+ {
+ // set previous solution for storage evaluations
+ twoPAssembler->setPreviousSolution(pOld);
+
+ // solve the non-linear system with time step control
+ nonLinearSolver.solve(p, *timeLoop);
+
+ // make the new solution the old solution
+ pOld = p;
+ twoPGridVariables->advanceTimeStep();
+
+ // write vtk output
+ twoPVtkWriter.write(timeLoop->time());
+
+ // report statistics of this time step
+ timeLoop->reportTimeStep();
+
+ // set new dt as suggested by the Newton solver
+ timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+
+
+ // loop over elements to compute fluxes, saturations, densities for tracer
+ using FluxVariables = typename GET_PROP_TYPE(TwoPTypeTag, FluxVariables);
+ auto upwindTerm = [](const auto& volVars) { return volVars.mobility(0); };
+ for (const auto& element : elements(leafGridView))
+ {
+ ////////////////////////////////////////////////////////////
+ // compute volume fluxes for the tracer model
+ ///////////////////////////////////////////////////////////
+
+ auto fvGeometry = localView(*fvGridGeometry);
+ fvGeometry.bind(element);
+
+ auto elemVolVars = localView(twoPGridVariables->curGridVolVars());
+ elemVolVars.bind(element, fvGeometry, p);
+
+ auto elemFluxVars = localView(twoPGridVariables->gridFluxVarsCache());
+ elemFluxVars.bind(element, fvGeometry, elemVolVars);
+
+ for (const auto& scvf : scvfs(fvGeometry))
+ {
+ const auto idx = scvf.index();
+
+ if (!scvf.boundary())
+ {
+ FluxVariables fluxVars;
+ fluxVars.init(*twoPProblem, element, fvGeometry, elemVolVars, scvf, elemFluxVars);
+ volumeFlux_[idx] = fluxVars.advectiveFlux(0, upwindTerm);
+ }
+ else
+ {
+ const auto bcTypes = twoPProblem->boundaryTypes(element, scvf);
+ if (bcTypes.hasOnlyDirichlet())
+ {
+ FluxVariables fluxVars;
+ fluxVars.init(*twoPProblem, element, fvGeometry, elemVolVars, scvf, elemFluxVars);
+ volumeFlux_[idx] = fluxVars.advectiveFlux(0, upwindTerm);
+ }
+ }
+ }
+
+ ////////////////////////////////////////////////////////////
+ // compute densities and saturations for the tracer model
+ ///////////////////////////////////////////////////////////
+ for (const auto& scv : scvs(fvGeometry))
+ {
+ const auto& volVars = elemVolVars[scv];
+ const auto idx = scv.dofIndex();
+
+ density_[idx] = volVars.density(0);
+ saturation_[idx] = volVars.saturation(0);
+ }
+ }
+
+ ////////////////////////////////////////////////////////////
+ // solve tracer problem on the same grid
+ ////////////////////////////////////////////////////////////
+
+ // set the flux from the 2p problem
+ tracerProblem->spatialParams().setVolumeFlux(volumeFlux_);
+ tracerProblem->spatialParams().setDensity(density_);
+ tracerProblem->spatialParams().setSaturation(saturation_);
+
+ // set previous solution for storage evaluations
+ tracerAssembler->setPreviousSolution(xOld);
+
+ Dune::Timer tracerAssembleTimer;
+ tracerAssembler->assembleJacobianAndResidual(x);
+ tracerAssembleTimer.stop();
+
+ // solve the linear system A(xOld-xNew) = r
+ Dune::Timer solveTimer;
+ TracerSolutionVector xDelta(x);
+ tracerLinearSolver->solve(*A, xDelta, *r);
+ solveTimer.stop();
+
+ // update solution and grid variables
+ Dune::Timer updateTimer;
+ updateTimer.reset();
+ x -= xDelta;
+ tracerGridVariables->update(x);
+ updateTimer.stop();
+
+ // statistics
+ Dune::Timer assembleTimer;
+ const auto elapsedTot = assembleTimer.elapsed() + solveTimer.elapsed() + updateTimer.elapsed();
+ std::cout << "Assemble/solve/update time: "
+ << assembleTimer.elapsed() << "(" << 100*assembleTimer.elapsed()/elapsedTot << "%)/"
+ << solveTimer.elapsed() << "(" << 100*solveTimer.elapsed()/elapsedTot << "%)/"
+ << updateTimer.elapsed() << "(" << 100*updateTimer.elapsed()/elapsedTot << "%)"
+ << std::endl;
+
+ // make the new solution the old solution
+ xOld = x;
+ tracerGridVariables->advanceTimeStep();
+
+ // advance the time loop to the next step
+ timeLoop->advanceTimeStep();
+
+ // write vtk output
+ vtkWriter.write(timeLoop->time());
+
+ } while (!timeLoop->finished());
+
+ timeLoop->finalize(leafGridView.comm());
+
+ ////////////////////////////////////////////////////////////
+ // 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/porousmediumflow/tracer/2ptracer/params.input b/test/porousmediumflow/tracer/2ptracer/params.input
new file mode 100644
index 0000000000000000000000000000000000000000..bf62610a9536349f1ad169def61ea2f9404d4057
--- /dev/null
+++ b/test/porousmediumflow/tracer/2ptracer/params.input
@@ -0,0 +1,25 @@
+[TimeLoop]
+DtInitial = 10 # [s]
+TEnd = 450 # [s]
+MaxTimeStepSize = 10
+
+[Grid]
+UpperRight = 6 4
+Cells = 48 32
+
+[SpatialParams]
+LensLowerLeft = 1.0 2.0 # [m] coordinates of the lower left lens corner
+LensUpperRight = 4.0 3.0 # [m] coordinates of the upper right lens corner
+outerK = 1e-09 # [m^2]
+lensK = 1e-12 # [m^2]
+
+[Problem]
+Name = test_2ptracer_lens_tpfa
+EnableGravity = true
+BinaryDiffusionCoefficient = 0.0 # only advective transport
+
+[Newton]
+EnablePartialReassembly = true
+
+[Vtk]
+AddVelocity = true
diff --git a/test/porousmediumflow/tracer/2ptracer/problem_tracer.hh b/test/porousmediumflow/tracer/2ptracer/problem_tracer.hh
new file mode 100644
index 0000000000000000000000000000000000000000..b7beb5e2dc627ac35161121c318e3ea7c2bb3782
--- /dev/null
+++ b/test/porousmediumflow/tracer/2ptracer/problem_tracer.hh
@@ -0,0 +1,276 @@
+// -*- 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 3 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
+ * \ingroup TracerTests
+ * \brief A 2p problem with multiple tracer bands in a porous groundwater reservoir with a lens
+ */
+#ifndef DUMUX_TWOP_TRACER_TEST_PROBLEM_HH
+#define DUMUX_TWOP_TRACER_TEST_PROBLEM_HH
+
+#include <dumux/discretization/cctpfa.hh>
+#include <dumux/porousmediumflow/tracer/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+#include <dumux/material/fluidsystems/base.hh>
+
+#include "spatialparams_tracer.hh"
+
+namespace Dumux {
+/*!
+ * \ingroup TracerTests
+ * \brief A 2p problem with multiple tracer bands in a porous groundwater reservoir with a lens
+ */
+template <class TypeTag>
+class TwoPTracerTestProblem;
+
+namespace Properties {
+//Create new type tags
+namespace TTag {
+struct TwoPTracerTest { using InheritsFrom = std::tuple<Tracer>; };
+struct TwoPTracerTestTpfa { using InheritsFrom = std::tuple<TwoPTracerTest, CCTpfaModel>; };
+} // end namespace TTag
+
+// Set the grid type
+template<class TypeTag>
+struct Grid<TypeTag, TTag::TwoPTracerTest> { using type = Dune::YaspGrid<2>; };
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::TwoPTracerTest> { using type = TwoPTracerTestProblem<TypeTag>; };
+
+// Set the spatial parameters
+template<class TypeTag>
+struct SpatialParams<TypeTag, TTag::TwoPTracerTest>
+{
+ using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+ using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+ using type = TwoPTracerTestSpatialParams<FVGridGeometry, Scalar>;
+};
+
+// Define whether mole(true) or mass (false) fractions are used
+template<class TypeTag>
+struct UseMoles<TypeTag, TTag::TwoPTracerTest> { static constexpr bool value = false; };
+template<class TypeTag>
+struct SolutionDependentMolecularDiffusion<TypeTag, TTag::TwoPTracerTestTpfa> { static constexpr bool value = false; };
+
+//! A simple fluid system with one tracer component
+template<class TypeTag>
+class TracerFluidSystem : public FluidSystems::Base<GetPropType<TypeTag, Properties::Scalar>,
+ TracerFluidSystem<TypeTag>>
+{
+ using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+ using Problem = GetPropType<TypeTag, Properties::Problem>;
+ using GridView = GetPropType<TypeTag, Properties::GridView>;
+ using Element = typename GridView::template Codim<0>::Entity;
+ using FVElementGeometry = typename GetPropType<TypeTag, Properties::FVGridGeometry>::LocalView;
+ using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+
+public:
+ //! If the fluid system only contains tracer components
+ static constexpr bool isTracerFluidSystem()
+ { return true; }
+
+ //! No component is the main component
+ static constexpr int getMainComponent(int phaseIdx)
+ { return -1; }
+
+ //! The number of components
+ static constexpr int numComponents = 1;
+
+ //! Human readable component name (index compIdx) (for vtk output)
+ static std::string componentName(int compIdx)
+ { return "tracer_" + std::to_string(compIdx); }
+
+ //! Molar mass in kg/mol of the component with index compIdx
+ static Scalar molarMass(unsigned int compIdx)
+ { return 0.300; }
+
+ //! Binary diffusion coefficient
+ //! (might depend on spatial parameters like pressure / temperature)
+ static Scalar binaryDiffusionCoefficient(unsigned int compIdx,
+ const Problem& problem,
+ const Element& element,
+ const SubControlVolume& scv)
+ {
+ static const Scalar D = getParam<Scalar>("Problem.BinaryDiffusionCoefficient");
+ return D;
+ }
+};
+
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::TwoPTracerTest> { using type = TracerFluidSystem<TypeTag>; };
+
+} // end namespace Properties
+
+/*!
+ * \ingroup TracerTests
+ *
+ * \brief Definition of a problem, for the tracer problem:
+ * A lens of contaminant tracer is diluted by diffusion and a base groundwater flow
+ *
+ * This problem uses the \ref TracerModel model.
+ *
+ * To run the simulation execute the following line in shell:
+ * <tt>./test_2ptracer -ParameterFile ./params.input</tt> or
+ * <tt>./test_2ptracer -ParameterFile ./params.input</tt>
+ */
+template <class TypeTag>
+class TwoPTracerTestProblem : public PorousMediumFlowProblem<TypeTag>
+{
+ using ParentType = PorousMediumFlowProblem<TypeTag>;
+
+ using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+ using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+ using GridView = GetPropType<TypeTag, Properties::GridView>;
+ using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+ using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
+ using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+ using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
+ using SpatialParams = GetPropType<TypeTag, Properties::SpatialParams>;
+
+ //! property that defines whether mole or mass fractions are used
+ static constexpr bool useMoles = getPropValue<TypeTag, Properties::UseMoles>();
+
+ using Element = typename FVGridGeometry::GridView::template Codim<0>::Entity;
+ using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+public:
+ TwoPTracerTestProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+ : ParentType(fvGridGeometry)
+ {
+ // stating in the console whether mole or mass fractions are used
+ if(useMoles)
+ std::cout<<"problem uses mole fractions" << '\n';
+ else
+ std::cout<<"problem uses mass fractions" << '\n';
+
+ stripeWidth_ = getParam<Scalar>("Problem.StripeWidth", 0.125);
+ }
+
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ if (onLeftBoundary_(globalPos) || onRightBoundary_(globalPos))
+ values.setAllDirichlet();
+ else
+ values.setAllNeumann();
+ return values;
+ }
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Evaluates the boundary conditions for a Dirichlet boundary segment.
+ *
+ * \param globalPos The global position
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables initialValues(0.0);
+ return initialValues;
+ }
+
+ /*!
+ * \brief Evaluates the initial value for a control volume.
+ *
+ * \param globalPos The position for which the initial condition should be evaluated
+ *
+ * For this method, the \a values parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables initialValues(0.0);
+
+ if (onStripe1_(globalPos) || onStripe2_(globalPos) || onStripe3_(globalPos))
+ {
+ if (useMoles)
+ initialValues = 1e-9;
+ else
+ initialValues = 1e-9*FluidSystem::molarMass(0)/this->spatialParams().fluidMolarMass(globalPos);
+ }
+ return initialValues;
+ }
+
+private:
+ static constexpr Scalar eps_ = 1e-6;
+ Scalar stripeWidth_;
+
+ bool onUpperBoundary_(const GlobalPosition &globalPos) const
+ {
+ return globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - 0.1 - eps_;
+ }
+
+ bool onLeftBoundary_(const GlobalPosition &globalPos) const
+ {
+ return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_;
+ }
+
+ bool onRightBoundary_(const GlobalPosition &globalPos) const
+ {
+ return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_;
+ }
+
+ bool onStripe1_(const GlobalPosition &globalPos) const
+ {
+ const auto xMax = this->fvGridGeometry().bBoxMax()[0];
+ return (
+ ( (xMax /4.0 - stripeWidth_*0.5) < globalPos[0] + eps_ ) &&
+ ( (xMax/4.0 + stripeWidth_*0.5) > globalPos[0] + eps_ )
+ );
+ }
+
+ bool onStripe2_(const GlobalPosition &globalPos) const
+ {
+ const auto xMax = this->fvGridGeometry().bBoxMax()[0];
+ return (
+ ( (2.0 * xMax /4.0 - stripeWidth_*0.5) < globalPos[0] + eps_ ) &&
+ ( (2.0 * xMax/4.0 + stripeWidth_*0.5) > globalPos[0] + eps_ )
+ );
+ }
+
+ bool onStripe3_(const GlobalPosition &globalPos) const
+ {
+ const auto xMax = this->fvGridGeometry().bBoxMax()[0];
+ return (
+ ( (3.0 * xMax /4.0 - stripeWidth_*0.5) < globalPos[0] + eps_ ) &&
+ ( (3.0 * xMax/4.0 + stripeWidth_*0.5) > globalPos[0] + eps_ )
+ );
+ }
+
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/porousmediumflow/tracer/2ptracer/spatialparams_tracer.hh b/test/porousmediumflow/tracer/2ptracer/spatialparams_tracer.hh
new file mode 100644
index 0000000000000000000000000000000000000000..c3737a0d96fbb48fee1dfaa82cc15206e0854580
--- /dev/null
+++ b/test/porousmediumflow/tracer/2ptracer/spatialparams_tracer.hh
@@ -0,0 +1,113 @@
+// -*- 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
+ * \ingroup TracerTests
+ * \brief Definition of the spatial parameters for the tracer problem
+ */
+#ifndef DUMUX_TWOP_TRACER_TEST_SPATIAL_PARAMS_HH
+#define DUMUX_TWOP_TRACER_TEST_SPATIAL_PARAMS_HH
+
+#include <dumux/porousmediumflow/properties.hh>
+#include <dumux/material/spatialparams/fv.hh>
+#include <iostream>
+
+namespace Dumux {
+
+/*!
+ * \ingroup TracerTests
+ * \brief Definition of the spatial parameters for the tracer problem
+ */
+template<class FVGridGeometry, class Scalar>
+class TwoPTracerTestSpatialParams
+: public FVSpatialParams<FVGridGeometry, Scalar,
+ TwoPTracerTestSpatialParams<FVGridGeometry, Scalar>>
+{
+ using GridView = typename FVGridGeometry::GridView;
+ using FVElementGeometry = typename FVGridGeometry::LocalView;
+ using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+ using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+ using Element = typename GridView::template Codim<0>::Entity;
+ using ParentType = FVSpatialParams<FVGridGeometry, Scalar,
+ TwoPTracerTestSpatialParams<FVGridGeometry, Scalar>>;
+
+ static const int dimWorld = GridView::dimensionworld;
+ using GlobalPosition = typename Dune::FieldVector<Scalar, dimWorld>;
+
+
+public:
+
+ TwoPTracerTestSpatialParams(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+ : ParentType(fvGridGeometry) {}
+
+ /*!
+ * \brief Defines the porosity \f$\mathrm{[-]}\f$.
+ *
+ * \param globalPos The global position
+ */
+ Scalar porosityAtPos(const GlobalPosition& globalPos) const
+ { return 0.4; }
+
+ //! Fluid properties that are spatial parameters in the tracer model
+ //! They can possible vary with space but are usually constants
+
+ //! Fluid density
+ Scalar fluidDensity(const Element &element,
+ const SubControlVolume& scv) const
+ { return density_[this->fvGridGeometry().elementMapper().index(element)];; }
+
+ void setDensity(const std::vector<Scalar>& d)
+ { density_ = d; }
+
+ //! fluid molar mass
+ Scalar fluidMolarMass(const Element &element,
+ const SubControlVolume& scv) const
+ { return 0.018; }
+
+ Scalar fluidMolarMass(const GlobalPosition &globalPos) const
+ { return 0.018; }
+
+ //! Velocity field
+ template<class ElementVolumeVariables>
+ Scalar volumeFlux(const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolumeFace& scvf) const
+ { return volumeFlux_[scvf.index()]; }
+
+ void setVolumeFlux(const std::vector<Scalar>& f)
+ { volumeFlux_ = f; }
+
+ //! saturation from twoPProblem
+ Scalar saturation(const Element &element,
+ const SubControlVolume& scv) const
+ { return saturation_[scv.dofIndex()]; }
+
+ void setSaturation(const std::vector<Scalar>& s)
+ { saturation_ = s; }
+
+private:
+ std::vector<Scalar> volumeFlux_;
+ std::vector<Scalar> density_;
+ std::vector<Scalar> saturation_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/porousmediumflow/tracer/CMakeLists.txt b/test/porousmediumflow/tracer/CMakeLists.txt
index a59ca08c3c6593016c9247ca17e306601b257b72..15813b018c15e186eb20c922912f068760c45b1a 100644
--- a/test/porousmediumflow/tracer/CMakeLists.txt
+++ b/test/porousmediumflow/tracer/CMakeLists.txt
@@ -1,3 +1,4 @@
-add_subdirectory(constvel)
add_subdirectory(1ptracer)
+add_subdirectory(2ptracer)
+add_subdirectory(constvel)
add_subdirectory(multicomp)
diff --git a/test/references/test_2ptracer_lens_tpfa_2p-reference.vtu b/test/references/test_2ptracer_lens_tpfa_2p-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..4e62d50f0f7a1b4f3e509cb930a359dfa7eac8cb
--- /dev/null
+++ b/test/references/test_2ptracer_lens_tpfa_2p-reference.vtu
@@ -0,0 +1,2624 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
+ <Piece NumberOfCells="1536" NumberOfPoints="1617">
+ <CellData Scalars="S_aq">
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diff --git a/test/references/test_2ptracer_lens_tpfa_transport-reference.vtu b/test/references/test_2ptracer_lens_tpfa_transport-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..c94e14cfbe55d4aa6a80261f6bf399031d705d9a
--- /dev/null
+++ b/test/references/test_2ptracer_lens_tpfa_transport-reference.vtu
@@ -0,0 +1,2100 @@
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