From fd9e9f33e7f4a8f4d6d57910c58a1220a5797b60 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Dennis=20Gl=C3=A4ser?= <dennis.glaeser@iws.uni-stuttgart.de>
Date: Wed, 14 Nov 2018 15:07:44 +0100
Subject: [PATCH] [md][facet] add explicit tracer transport test

---
 test/multidomain/facet/CMakeLists.txt         |    1 +
 .../facet/tracer_tracer/CMakeLists.txt        |   56 +
 .../facet/tracer_tracer/grids/durlofsky.msh   | 3036 +++++++++++++
 test/multidomain/facet/tracer_tracer/main.cc  |  506 +++
 .../facet/tracer_tracer/params.input          |   30 +
 .../facet/tracer_tracer/problem_1p_bulk.hh    |  175 +
 .../facet/tracer_tracer/problem_1p_lowdim.hh  |  162 +
 .../tracer_tracer/problem_tracer_bulk.hh      |  207 +
 .../tracer_tracer/problem_tracer_lowdim.hh    |  218 +
 .../facet/tracer_tracer/spatialparams_1p.hh   |   76 +
 .../tracer_tracer/spatialparams_tracer.hh     |  104 +
 .../facet/tracer_tracer/tracerfluidsystem.hh  |   77 +
 .../facet/tracer_tracer/tracermodeltraits.hh  |   40 +
 ...t_tracertracer_box_onep_bulk-reference.vtu | 2920 +++++++++++++
 ...tracertracer_box_onep_lowdim-reference.vtp |   95 +
 ...tracertracer_box_tracer_bulk-reference.vtu | 3888 +++++++++++++++++
 ...acertracer_box_tracer_lowdim-reference.vtp |  117 +
 ..._tracertracer_tpfa_onep_bulk-reference.vtu | 1401 ++++++
 ...racertracer_tpfa_onep_lowdim-reference.vtp |   93 +
 ...racertracer_tpfa_tracer_bulk-reference.vtu | 1727 ++++++++
 ...certracer_tpfa_tracer_lowdim-reference.vtp |  115 +
 21 files changed, 15044 insertions(+)
 create mode 100644 test/multidomain/facet/tracer_tracer/CMakeLists.txt
 create mode 100644 test/multidomain/facet/tracer_tracer/grids/durlofsky.msh
 create mode 100644 test/multidomain/facet/tracer_tracer/main.cc
 create mode 100644 test/multidomain/facet/tracer_tracer/params.input
 create mode 100644 test/multidomain/facet/tracer_tracer/problem_1p_bulk.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/problem_1p_lowdim.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/problem_tracer_bulk.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/problem_tracer_lowdim.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/spatialparams_1p.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/spatialparams_tracer.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/tracerfluidsystem.hh
 create mode 100644 test/multidomain/facet/tracer_tracer/tracermodeltraits.hh
 create mode 100644 test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
 create mode 100644 test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
 create mode 100644 test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
 create mode 100644 test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
 create mode 100644 test/references/test_md_facet_tracertracer_tpfa_onep_bulk-reference.vtu
 create mode 100644 test/references/test_md_facet_tracertracer_tpfa_onep_lowdim-reference.vtp
 create mode 100644 test/references/test_md_facet_tracertracer_tpfa_tracer_bulk-reference.vtu
 create mode 100644 test/references/test_md_facet_tracertracer_tpfa_tracer_lowdim-reference.vtp

diff --git a/test/multidomain/facet/CMakeLists.txt b/test/multidomain/facet/CMakeLists.txt
index 3d17f322ab..d9aed63ea2 100644
--- a/test/multidomain/facet/CMakeLists.txt
+++ b/test/multidomain/facet/CMakeLists.txt
@@ -1,4 +1,5 @@
 add_subdirectory(1p_1p)
+add_subdirectory(tracer_tracer)
 
 dune_symlink_to_source_files(FILES "grid.msh" "grid2.msh" "test_gridmanager.input" "test_vertexmapper.input" "test_couplingmapper_boundary.input" "2d_grid.msh" "3d_grid.msh")
 
diff --git a/test/multidomain/facet/tracer_tracer/CMakeLists.txt b/test/multidomain/facet/tracer_tracer/CMakeLists.txt
new file mode 100644
index 0000000000..fd5269b3b1
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/CMakeLists.txt
@@ -0,0 +1,56 @@
+dune_symlink_to_source_files(FILES "grids" "params.input")
+
+dune_add_test(NAME test_md_facet_tracertracer_tpfa
+              LABELS multidomain
+              SOURCES main.cc
+              COMPILE_DEFINITIONS ONEPBULKTYPETAG=OnePBulkTpfa
+              COMPILE_DEFINITIONS ONEPLOWDIMTYPETAG=OnePLowDimTpfa
+              COMPILE_DEFINITIONS TRACERBULKTYPETAG=TracerBulkTpfa
+              COMPILE_DEFINITIONS TRACERLOWDIMTYPETAG=TracerLowDimTpfa
+              CMAKE_GUARD "( dune-foamgrid_FOUND AND dune-alugrid_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_tpfa_onep_bulk-reference.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_tpfa_onep_bulk-00000.vtu
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_tpfa_onep_lowdim-reference.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_tpfa_onep_lowdim-00000.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_tpfa_tracer_bulk-reference.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_tpfa_tracer_bulk-00010.vtu
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_tpfa_tracer_lowdim-reference.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_tpfa_tracer_lowdim-00010.vtp
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_tpfa params.input \
+                                                              -Vtk.OutputName test_md_facet_tracertracer_tpfa")
+
+dune_add_test(NAME test_md_facet_tracertracer_box
+              LABELS multidomain
+              SOURCES main.cc
+              COMPILE_DEFINITIONS ONEPBULKTYPETAG=OnePBulkBox
+              COMPILE_DEFINITIONS ONEPLOWDIMTYPETAG=OnePLowDimBox
+              COMPILE_DEFINITIONS TRACERBULKTYPETAG=TracerBulkBox
+              COMPILE_DEFINITIONS TRACERLOWDIMTYPETAG=TracerLowDimBox
+              CMAKE_GUARD "( dune-foamgrid_FOUND AND dune-alugrid_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_box_onep_bulk-00000.vtu
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_box_onep_lowdim-00000.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_box_tracer_bulk-00010.vtu
+                                ${CMAKE_SOURCE_DIR}/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_box_tracer_lowdim-00010.vtp
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_tracertracer_box params.input \
+                                                              -Vtk.OutputName test_md_facet_tracertracer_box")
+
+set(CMAKE_BUILD_TYPE Release)
+
+#install sources
+install(FILES
+main.cc
+problem_1p_bulk.hh
+problem_1p_lowdim.hh
+problem_tracer_bulk.hh
+problem_tracer_lowdim.hh
+spatialparams_1p.hh
+spatialparams_tracer.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/test/multidomain/facet/tracer_tracer)
diff --git a/test/multidomain/facet/tracer_tracer/grids/durlofsky.msh b/test/multidomain/facet/tracer_tracer/grids/durlofsky.msh
new file mode 100644
index 0000000000..bcaf169629
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/grids/durlofsky.msh
@@ -0,0 +1,3036 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$Nodes
+999
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+2 3.167000000000002 5.923999999999999 0
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+1982 2 2 1 1 319 754 996
+1983 2 2 1 1 210 961 776
+1984 2 2 1 1 192 978 790
+1985 2 2 1 1 227 950 932
+1986 2 2 1 1 108 783 902
+1987 2 2 1 1 295 829 973
+1988 2 2 1 1 119 803 933
+1989 2 2 1 1 314 715 877
+1990 2 2 1 1 382 842 841
+1991 2 2 1 1 343 782 930
+1992 2 2 1 1 27 895 956
+1993 2 2 1 1 410 985 539
+1994 2 2 1 1 27 986 952
+1995 2 2 1 1 173 944 758
+1996 2 2 1 1 335 917 951
+1997 2 2 1 1 426 973 829
+1998 2 2 1 1 206 703 920
+1999 2 2 1 1 422 717 975
+2000 2 2 1 1 407 997 824
+2001 2 2 1 1 432 952 986
+2002 2 2 1 1 360 954 657
+2003 2 2 1 1 336 800 845
+2004 2 2 1 1 413 848 920
+2005 2 2 1 1 509 957 814
+2006 2 2 1 1 93 952 991
+2007 2 2 1 1 188 691 942
+2008 2 2 1 1 215 977 738
+2009 2 2 1 1 193 820 892
+2010 2 2 1 1 227 932 772
+2011 2 2 1 1 9 996 754
+2012 2 2 1 1 228 814 957
+2013 2 2 1 1 341 890 927
+2014 2 2 1 1 227 917 950
+2015 2 2 1 1 367 830 988
+2016 2 2 1 1 432 991 952
+2017 2 2 1 1 359 989 807
+2018 2 2 1 1 450 811 995
+2019 2 2 1 1 450 995 867
+2020 2 2 1 1 88 988 830
+2021 2 2 1 1 117 979 792
+2022 2 2 1 1 314 803 992
+2023 2 2 1 1 370 792 979
+2024 2 2 1 1 379 951 917
+2025 2 2 1 1 469 962 960
+2026 2 2 1 1 350 960 962
+2027 2 2 1 1 415 956 895
+2028 2 2 1 1 246 375 507
+$EndElements
diff --git a/test/multidomain/facet/tracer_tracer/main.cc b/test/multidomain/facet/tracer_tracer/main.cc
new file mode 100644
index 0000000000..8cae074fd2
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/main.cc
@@ -0,0 +1,506 @@
+// -*- 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 test for the one-phase facet coupling model
+ */
+#include <config.h>
+
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dune/geometry/quadraturerules.hh>
+
+#include "problem_1p_bulk.hh"
+#include "problem_1p_lowdim.hh"
+
+#include "problem_tracer_bulk.hh"
+#include "problem_tracer_lowdim.hh"
+
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/dumuxmessage.hh>
+#include <dumux/common/defaultusagemessage.hh>
+
+#include <dumux/assembly/diffmethod.hh>
+#include <dumux/discretization/method.hh>
+#include <dumux/discretization/elementsolution.hh>
+#include <dumux/discretization/evalgradients.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+
+#include <dumux/multidomain/newtonsolver.hh>
+#include <dumux/multidomain/fvassembler.hh>
+#include <dumux/multidomain/traits.hh>
+
+#include <dumux/multidomain/facet/gridmanager.hh>
+#include <dumux/multidomain/facet/couplingmapper.hh>
+#include <dumux/multidomain/facet/couplingmanager.hh>
+#include <dumux/multidomain/facet/codimonegridadapter.hh>
+
+#include <dumux/io/vtkoutputmodule.hh>
+
+// obtain/define some types to be used below in the property definitions and in main
+template< class BulkTypeTag, class LowDimTypeTag >
+class TestTraits
+{
+    using BulkFVGridGeometry = typename GET_PROP_TYPE(BulkTypeTag, FVGridGeometry);
+    using LowDimFVGridGeometry = typename GET_PROP_TYPE(LowDimTypeTag, FVGridGeometry);
+public:
+    using MDTraits = Dumux::MultiDomainTraits<BulkTypeTag, LowDimTypeTag>;
+    using CouplingMapper = Dumux::FacetCouplingMapper<BulkFVGridGeometry, LowDimFVGridGeometry>;
+    using CouplingManager = Dumux::FacetCouplingManager<MDTraits, CouplingMapper>;
+};
+
+// set the coupling manager property in the sub-problems for both box and tpfa
+namespace Dumux {
+namespace Properties {
+
+// set cm property for the box test
+using BoxTraits = TestTraits<TTAG(OnePBulkBox), TTAG(OnePLowDimBox)>;
+using BoxTracerTraits = TestTraits<TTAG(TracerBulkBox), TTAG(TracerLowDimBox)>;
+SET_TYPE_PROP(OnePBulkBox, CouplingManager, typename BoxTraits::CouplingManager);
+SET_TYPE_PROP(OnePLowDimBox, CouplingManager, typename BoxTraits::CouplingManager);
+SET_TYPE_PROP(TracerBulkBox, CouplingManager, typename BoxTracerTraits::CouplingManager);
+SET_TYPE_PROP(TracerLowDimBox, CouplingManager, typename BoxTracerTraits::CouplingManager);
+
+// set cm property for the tpfa test
+using TpfaTraits = TestTraits<TTAG(OnePBulkTpfa), TTAG(OnePLowDimTpfa)>;
+using TpfaTracerTraits = TestTraits<TTAG(TracerBulkTpfa), TTAG(TracerLowDimTpfa)>;
+SET_TYPE_PROP(OnePBulkTpfa, CouplingManager, typename TpfaTraits::CouplingManager);
+SET_TYPE_PROP(OnePLowDimTpfa, CouplingManager, typename TpfaTraits::CouplingManager);
+SET_TYPE_PROP(TracerBulkTpfa, CouplingManager, typename TpfaTracerTraits::CouplingManager);
+SET_TYPE_PROP(TracerLowDimTpfa, CouplingManager, typename TpfaTracerTraits::CouplingManager);
+
+} // end namespace Properties
+} // end namespace Dumux
+
+// updates the finite volume grid geometry. This is necessary as the finite volume
+// grid geometry for the box scheme with facet coupling requires additional data for
+// the update. The reason is that we have to create additional faces on interior
+// boundaries, which wouldn't be created in the standard scheme.
+template< class FVGridGeometry,
+          class GridManager,
+          class LowDimGridView,
+          std::enable_if_t<FVGridGeometry::discMethod == Dumux::DiscretizationMethod::box, int> = 0 >
+void updateBulkFVGridGeometry(FVGridGeometry& fvGridGeometry,
+                              const GridManager& gridManager,
+                              const LowDimGridView& lowDimGridView)
+{
+    using BulkFacetGridAdapter = Dumux::CodimOneGridAdapter<typename GridManager::Embeddings>;
+    BulkFacetGridAdapter facetGridAdapter(gridManager.getEmbeddings());
+    fvGridGeometry.update(lowDimGridView, facetGridAdapter);
+}
+
+// specialization for cell-centered schemes
+template< class FVGridGeometry,
+          class GridManager,
+          class LowDimGridView,
+          std::enable_if_t<FVGridGeometry::discMethod != Dumux::DiscretizationMethod::box, int> = 0 >
+void updateBulkFVGridGeometry(FVGridGeometry& fvGridGeometry,
+                              const GridManager& gridManager,
+                              const LowDimGridView& lowDimGridView)
+{
+    fvGridGeometry.update();
+}
+
+//! computes the volume fluxes on all scvfs for a sub-domain
+template<class FV, class Storage, class CM, class Assembler, class Prob, class GV, class Sol, std::size_t id>
+void computeVolumeFluxes(Storage& volumeFluxes,
+                         CM& couplingManager,
+                         const Assembler& assembler,
+                         const Prob& problem,
+                         const typename GV::GridGeometry& fvGridGeometry,
+                         const GV& gridVariables,
+                         const Sol& sol,
+                         Dune::index_constant<id> domainId)
+{
+    static constexpr bool isBox = GV::GridGeometry::discMethod == Dumux::DiscretizationMethod::box;
+
+    // resize depending on the scheme
+    if (!isBox) volumeFluxes.assign(fvGridGeometry.numScvf(), {0.0});
+    else volumeFluxes.assign(fvGridGeometry.gridView().size(0), {0.0});
+
+    auto upwindTerm = [](const auto& volVars) { return volVars.mobility(0); };
+    for (const auto& element : elements(fvGridGeometry.gridView()))
+    {
+        const auto eIdx = fvGridGeometry.elementMapper().index(element);
+
+        // bind local views
+        couplingManager.bindCouplingContext(domainId, element, assembler);
+        auto fvGeometry = localView(fvGridGeometry);
+        auto elemVolVars = localView(gridVariables.curGridVolVars());
+        auto elemFluxVars = localView(gridVariables.gridFluxVarsCache());
+        fvGeometry.bind(element);
+        elemVolVars.bind(element, fvGeometry, sol);
+        elemFluxVars.bind(element, fvGeometry, elemVolVars);
+
+        if (isBox)
+            volumeFluxes[eIdx].resize(fvGeometry.numScvf(), 0.0);
+
+        for (const auto& scvf : scvfs(fvGeometry))
+        {
+            typename GV::Scalar flux = 0.0;
+            FV fluxVars;
+            fluxVars.init(problem, element, fvGeometry, elemVolVars, scvf, elemFluxVars);
+
+            if (!scvf.boundary())
+                flux = fluxVars.advectiveFlux(0, upwindTerm);
+            else if (!isBox && problem.boundaryTypes(element, scvf).hasOnlyDirichlet())
+                flux = fluxVars.advectiveFlux(0, upwindTerm);
+            else if (isBox
+                     && problem.boundaryTypes(element, fvGeometry.scv(scvf.insideScvIdx())).hasOnlyDirichlet())
+            {
+                // reconstruct flux
+                const auto elemSol = elementSolution(element, sol, fvGridGeometry);
+                const auto gradP = evalGradients(element,
+                                                 element.geometry(),
+                                                 fvGridGeometry,
+                                                 elemSol,
+                                                 scvf.ipGlobal())[0];
+                const auto& insideVolVars = elemVolVars[fvGeometry.scv(scvf.insideScvIdx())];
+                const auto k = insideVolVars.permeability();
+                flux = - insideVolVars.mobility(0)*k*(gradP*scvf.unitOuterNormal())*scvf.area();
+            }
+
+            if (isBox) volumeFluxes[eIdx][scvf.index()] = flux;
+            else volumeFluxes[scvf.index()][0] = flux;
+        }
+    }
+}
+
+// main program
+int main(int argc, char** argv) try
+{
+    using namespace Dumux;
+
+    //////////////////////////////////////////////////////
+    //////////////////////////////////////////////////////
+
+    // 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);
+
+    // initialize parameter tree
+    Parameters::init(argc, argv);
+
+    //////////////////////////////////////////////////////
+    // try to create the grids (from the given grid file)
+    //////////////////////////////////////////////////////
+    using BulkOnePTypeTag = TTAG(ONEPBULKTYPETAG);
+    using LowDimOnePTypeTag = TTAG(ONEPLOWDIMTYPETAG);
+    using BulkGrid = typename GET_PROP_TYPE(BulkOnePTypeTag, Grid);
+    using LowDimGrid = typename GET_PROP_TYPE(LowDimOnePTypeTag, Grid);
+
+    using GridManager = FacetCouplingGridManager<BulkGrid, LowDimGrid>;
+    GridManager gridManager;
+    gridManager.init();
+    gridManager.loadBalance();
+
+    // we compute on the leaf grid views
+    const auto& bulkGridView = gridManager.template grid<0>().leafGridView();
+    const auto& lowDimGridView = gridManager.template grid<1>().leafGridView();
+
+    // containers to store the volume fluxes (will be passed to tracer problem)
+    std::vector< std::vector<double> > bulkVolumeFluxes;
+    std::vector< std::vector<double> > lowDimVolumeFluxes;
+
+    // create the finite volume grid geometries
+    using BulkFVGridGeometry = typename GET_PROP_TYPE(BulkOnePTypeTag, FVGridGeometry);
+    using LowDimFVGridGeometry = typename GET_PROP_TYPE(LowDimOnePTypeTag, FVGridGeometry);
+    auto bulkFvGridGeometry = std::make_shared<BulkFVGridGeometry>(bulkGridView);
+    auto lowDimFvGridGeometry = std::make_shared<LowDimFVGridGeometry>(lowDimGridView);
+    updateBulkFVGridGeometry(*bulkFvGridGeometry, gridManager, lowDimGridView);
+    lowDimFvGridGeometry->update();
+
+    // the coupling mapper
+    using OnePTestTraits = TestTraits<BulkOnePTypeTag, LowDimOnePTypeTag>;
+    auto couplingMapper = std::make_shared<typename OnePTestTraits::CouplingMapper>();
+    couplingMapper->update(*bulkFvGridGeometry, *lowDimFvGridGeometry, gridManager.getEmbeddings());
+
+    // get the ids of bulk/facet domain & linear system types
+    // they are the same types for onep/tracer - obtain only once here
+    using OnePMDTraits = typename OnePTestTraits::MDTraits;
+    using SolutionVector = typename OnePMDTraits::SolutionVector;
+    using JacobianMatrix = typename OnePMDTraits::JacobianMatrix;
+    static const auto bulkId = typename OnePMDTraits::template DomainIdx<0>();
+    static const auto lowDimId = typename OnePMDTraits::template DomainIdx<1>();
+
+    ////////////////////////////////////////////////////////////
+    // run stationary, simgle-phase problem on this grid
+    ////////////////////////////////////////////////////////////
+
+    // put the following code in brackets such that memory is released afterwards
+    {
+        // instantiate coupling manager
+        using CouplingManager = typename OnePTestTraits::CouplingManager;
+        auto couplingManager = std::make_shared<CouplingManager>();
+
+        // the problems (boundary conditions)
+        using BulkProblem = typename GET_PROP_TYPE(BulkOnePTypeTag, Problem);
+        using LowDimProblem = typename GET_PROP_TYPE(LowDimOnePTypeTag, Problem);
+        auto bulkSpatialParams = std::make_shared<typename BulkProblem::SpatialParams>(bulkFvGridGeometry, "Bulk.OneP");
+        auto bulkProblem = std::make_shared<BulkProblem>(bulkFvGridGeometry, bulkSpatialParams, couplingManager, "Bulk.OneP");
+        auto lowDimSpatialParams = std::make_shared<typename LowDimProblem::SpatialParams>(lowDimFvGridGeometry, "LowDim.OneP");
+        auto lowDimProblem = std::make_shared<LowDimProblem>(lowDimFvGridGeometry, lowDimSpatialParams, couplingManager, "LowDim.OneP");
+
+        // the solution vector
+        SolutionVector x;
+        x[bulkId].resize(bulkFvGridGeometry->numDofs());
+        x[lowDimId].resize(lowDimFvGridGeometry->numDofs());
+        bulkProblem->applyInitialSolution(x[bulkId]);
+        lowDimProblem->applyInitialSolution(x[lowDimId]);
+
+        // initialize the coupling manager
+        couplingManager->init(bulkProblem, lowDimProblem, couplingMapper, x);
+
+        // the grid variables
+        using BulkGridVariables = typename GET_PROP_TYPE(BulkOnePTypeTag, GridVariables);
+        using LowDimGridVariables = typename GET_PROP_TYPE(LowDimOnePTypeTag, GridVariables);
+        auto bulkGridVariables = std::make_shared<BulkGridVariables>(bulkProblem, bulkFvGridGeometry);
+        auto lowDimGridVariables = std::make_shared<LowDimGridVariables>(lowDimProblem, lowDimFvGridGeometry);
+        bulkGridVariables->init(x[bulkId]);
+        lowDimGridVariables->init(x[lowDimId]);
+
+        // intialize the vtk output module
+        const auto bulkDM = BulkFVGridGeometry::discMethod == DiscretizationMethod::box ? Dune::VTK::nonconforming : Dune::VTK::conforming;
+        using BulkSolutionVector = std::decay_t<decltype(x[bulkId])>;
+        using LowDimSolutionVector = std::decay_t<decltype(x[lowDimId])>;
+        VtkOutputModule<BulkGridVariables, BulkSolutionVector> bulkVtkWriter(*bulkGridVariables, x[bulkId], bulkProblem->name(), "Bulk.OneP", bulkDM);
+        VtkOutputModule<LowDimGridVariables, LowDimSolutionVector> lowDimVtkWriter(*lowDimGridVariables, x[lowDimId], lowDimProblem->name(), "LowDim.OneP");
+
+        // Add model specific output fields
+        using BulkIOFields = typename GET_PROP_TYPE(BulkOnePTypeTag, IOFields);
+        using LowDimIOFields = typename GET_PROP_TYPE(LowDimOnePTypeTag, IOFields);
+        BulkIOFields::initOutputModule(bulkVtkWriter);
+        LowDimIOFields::initOutputModule(lowDimVtkWriter);
+
+        // the assembler
+        using Assembler = MultiDomainFVAssembler<OnePMDTraits, CouplingManager, DiffMethod::numeric, /*implicit?*/true>;
+        auto assembler = std::make_shared<Assembler>( std::make_tuple(bulkProblem, lowDimProblem),
+                                                      std::make_tuple(bulkFvGridGeometry, lowDimFvGridGeometry),
+                                                      std::make_tuple(bulkGridVariables, lowDimGridVariables),
+                                                      couplingManager);
+
+        // the linear solver
+        using LinearSolver = UMFPackBackend;
+        auto linearSolver = std::make_shared<LinearSolver>();
+
+        // the non-linear solver
+        using NewtonSolver = Dumux::MultiDomainNewtonSolver<Assembler, LinearSolver, CouplingManager>;
+        auto newtonSolver = std::make_shared<NewtonSolver>(assembler, linearSolver, couplingManager);
+
+        // linearize & solve
+        newtonSolver->solve(x);
+
+        // update grid variables for output
+        bulkGridVariables->update(x[bulkId]);
+        lowDimGridVariables->update(x[lowDimId]);
+
+        // write vtk output
+        bulkVtkWriter.write(1.0);
+        lowDimVtkWriter.write(1.0);
+
+        // compute the volume fluxes and store them in the arrays
+        using BulkFluxVariables = typename GET_PROP_TYPE(BulkOnePTypeTag, FluxVariables);
+        using LowDimFluxVariables = typename GET_PROP_TYPE(LowDimOnePTypeTag, FluxVariables);
+        computeVolumeFluxes<BulkFluxVariables>(bulkVolumeFluxes, *couplingManager, *assembler,
+                                               *bulkProblem, *bulkFvGridGeometry, *bulkGridVariables, x[bulkId], bulkId);
+        computeVolumeFluxes<LowDimFluxVariables>(lowDimVolumeFluxes, *couplingManager, *assembler,
+                                                 *lowDimProblem, *lowDimFvGridGeometry, *lowDimGridVariables, x[lowDimId], lowDimId);
+    }
+
+    ////////////////////////////////////////////////////////////////////////////
+    // run instationary tracer problem on this grid with the precomputed fluxes
+    ////////////////////////////////////////////////////////////////////////////
+
+    //! the problem (initial and boundary conditions)
+    using BulkTracerTypeTag = TTAG(TRACERBULKTYPETAG);
+    using LowDimTracerTypeTag = TTAG(TRACERLOWDIMTYPETAG);
+
+    // instantiate coupling manager
+    using TracerTestTraits = TestTraits<BulkTracerTypeTag, LowDimTracerTypeTag>;
+    using CouplingManager = typename TracerTestTraits::CouplingManager;
+    auto couplingManager = std::make_shared<CouplingManager>();
+
+    // instantiate the tracer problems reusing the fv grid geometries
+    using TracerBulkProblem = typename GET_PROP_TYPE(BulkTracerTypeTag, Problem);
+    using TracerLowDimProblem = typename GET_PROP_TYPE(LowDimTracerTypeTag, Problem);
+    using TracerBulkSpatialParams = typename TracerBulkProblem::SpatialParams;
+    using TracerLowDimSpatialParams = typename TracerLowDimProblem::SpatialParams;
+    auto bulkSpatialParams = std::make_shared<TracerBulkSpatialParams>(bulkFvGridGeometry, bulkVolumeFluxes, "Bulk.Tracer");
+    auto bulkProblem = std::make_shared<TracerBulkProblem>(bulkFvGridGeometry, bulkSpatialParams, couplingManager, "Bulk.Tracer");
+    auto lowDimSpatialParams = std::make_shared<TracerLowDimSpatialParams>(lowDimFvGridGeometry, lowDimVolumeFluxes, "LowDim.Tracer");
+    auto lowDimProblem = std::make_shared<TracerLowDimProblem>(lowDimFvGridGeometry, lowDimSpatialParams, couplingManager, "LowDim.Tracer");
+
+    // the solution vectors and system matrix
+    SolutionVector x, xOld;
+    x[bulkId].resize(bulkFvGridGeometry->numDofs());
+    x[lowDimId].resize(lowDimFvGridGeometry->numDofs());
+    bulkProblem->applyInitialSolution(x[bulkId]);
+    lowDimProblem->applyInitialSolution(x[lowDimId]);
+    xOld = x;
+
+    //! the linear system
+    auto A = std::make_shared<JacobianMatrix>();
+    auto r = std::make_shared<SolutionVector>();
+
+    // initialize the coupling manager
+    couplingManager->init(bulkProblem, lowDimProblem, couplingMapper, x);
+
+    // the grid variables
+    using BulkGridVariables = typename GET_PROP_TYPE(BulkTracerTypeTag, GridVariables);
+    using LowDimGridVariables = typename GET_PROP_TYPE(LowDimTracerTypeTag, GridVariables);
+    auto bulkGridVariables = std::make_shared<BulkGridVariables>(bulkProblem, bulkFvGridGeometry);
+    auto lowDimGridVariables = std::make_shared<LowDimGridVariables>(lowDimProblem, lowDimFvGridGeometry);
+    bulkGridVariables->init(x[bulkId]);
+    lowDimGridVariables->init(x[lowDimId]);
+
+    // intialize the vtk output modules
+    const auto bulkDM = BulkFVGridGeometry::discMethod == DiscretizationMethod::box ? Dune::VTK::nonconforming : Dune::VTK::conforming;
+    using BulkSolutionVector = std::decay_t<decltype(x[bulkId])>;
+    using LowDimSolutionVector = std::decay_t<decltype(x[lowDimId])>;
+    VtkOutputModule<BulkGridVariables, BulkSolutionVector> bulkVtkWriter(*bulkGridVariables, x[bulkId], bulkProblem->name(), "Bulk.Tracer", bulkDM);
+    VtkOutputModule<LowDimGridVariables, LowDimSolutionVector> lowDimVtkWriter(*lowDimGridVariables, x[lowDimId], lowDimProblem->name(), "LowDim.Tracer");
+
+    // Add model specific output fields
+    using BulkIOFields = typename GET_PROP_TYPE(BulkTracerTypeTag, IOFields);
+    using LowDimIOFields = typename GET_PROP_TYPE(LowDimTracerTypeTag, IOFields);
+    BulkIOFields::initOutputModule(bulkVtkWriter);
+    LowDimIOFields::initOutputModule(lowDimVtkWriter);
+
+    // write initial solution
+    bulkVtkWriter.write(0.0);
+    lowDimVtkWriter.write(0.0);
+
+    //! get some time loop parameters
+    const auto tEnd = getParam<double>("TimeLoop.TEnd");
+    auto dt = getParam<double>("TimeLoop.Dt");
+
+    //! instantiate time loop
+    auto timeLoop = std::make_shared<CheckPointTimeLoop<double>>(0.0, dt, tEnd);
+
+    // the assembler
+    using Assembler = MultiDomainFVAssembler<typename TracerTestTraits::MDTraits, CouplingManager, DiffMethod::numeric, /*implicit?*/false>;
+    auto assembler = std::make_shared<Assembler>( std::make_tuple(bulkProblem, lowDimProblem),
+                                                  std::make_tuple(bulkFvGridGeometry, lowDimFvGridGeometry),
+                                                  std::make_tuple(bulkGridVariables, lowDimGridVariables),
+                                                  couplingManager, timeLoop);
+
+    // tell the assembler which matrix/residual to use
+    assembler->setLinearSystem(A, r);
+
+    // the linear solver
+    using LinearSolver = BlockDiagAMGBiCGSTABSolver;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    //! set some check points for the vtk output
+    using std::max;
+    timeLoop->setPeriodicCheckPoint( max(tEnd/10.0, dt) );
+
+    //! start the time loop
+    timeLoop->start(); do
+    {
+        // set previous solution for storage evaluations
+        Dune::Timer assembleTimer;
+        assembler->setPreviousSolution(xOld);
+        assembler->assembleJacobianAndResidual(x);
+        assembleTimer.stop();
+
+        // solve the linear system A(xOld-xNew) = r
+        Dune::Timer solveTimer;
+        SolutionVector xDelta(x);
+        linearSolver->solve(*A, xDelta, *r);
+        solveTimer.stop();
+
+        // update solution and grid variables
+        Dune::Timer updateTimer;
+        x -= xDelta;
+        bulkGridVariables->update(x[bulkId]);
+        lowDimGridVariables->update(x[lowDimId]);
+        updateTimer.stop();
+
+        // statistics
+        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;
+        bulkGridVariables->advanceTimeStep();
+        lowDimGridVariables->advanceTimeStep();
+
+        // advance to the time loop to the next step
+        timeLoop->advanceTimeStep();
+
+        // write vtk output on check points
+        if (timeLoop->isCheckPoint())
+        {
+            bulkVtkWriter.write(timeLoop->time());
+            lowDimVtkWriter.write(timeLoop->time());
+        }
+
+        // report statistics of this time step
+        timeLoop->reportTimeStep();
+
+        // set new dt
+        timeLoop->setTimeStepSize(dt);
+
+    } while (!timeLoop->finished());
+
+    timeLoop->finalize();
+
+    ////////////////////////////////////////////////////////////
+    // finalize, print dumux message to say goodbye
+    ////////////////////////////////////////////////////////////
+    if (mpiHelper.rank() == 0)
+        DumuxMessage::print(/*firstCall=*/false);
+
+    return 0;
+}
+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/multidomain/facet/tracer_tracer/params.input b/test/multidomain/facet/tracer_tracer/params.input
new file mode 100644
index 0000000000..ba1d1879b1
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/params.input
@@ -0,0 +1,30 @@
+[TimeLoop]
+TEnd = 5e4
+Dt = 100
+
+[Problem]
+EnableGravity = false
+FractureAperture = 0.1
+BoundaryOverpressure = 1e4
+ContaminationMassFraction = 1e-2
+
+[Grid]
+File = ./grids/durlofsky.msh
+
+[Bulk]
+OneP.Problem.Name = onep_bulk
+Tracer.Problem.Name = tracer_bulk
+SpatialParams.Permeability = 1e-12
+SpatialParams.Porosity = 0.2
+
+[LowDim]
+OneP.Problem.Name = onep_lowdim
+Tracer.Problem.Name = tracer_lowdim
+SpatialParams.Permeability = 1e-9
+SpatialParams.Porosity = 0.9
+
+[Vtk]
+OutputName = test_md_facet_tracertracer
+
+[Assembly]
+NumericDifference.BaseEpsilon = 1e10
diff --git a/test/multidomain/facet/tracer_tracer/problem_1p_bulk.hh b/test/multidomain/facet/tracer_tracer/problem_1p_bulk.hh
new file mode 100644
index 0000000000..92fcafea6c
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/problem_1p_bulk.hh
@@ -0,0 +1,175 @@
+// -*- 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 MultiDomain
+ * \ingroup FacetCoupling
+ * \brief The problem for the bulk domain of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_BULKPROBLEM_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_BULKPROBLEM_HH
+
+#include <dune/alugrid/grid.hh>
+
+#include <dumux/material/components/simpleh2o.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+
+#include <dumux/multidomain/facet/box/properties.hh>
+#include <dumux/multidomain/facet/cellcentered/tpfa/properties.hh>
+
+#include <dumux/porousmediumflow/problem.hh>
+#include <dumux/porousmediumflow/1p/model.hh>
+
+#include "spatialparams_1p.hh"
+
+namespace Dumux {
+// forward declarations
+template<class TypeTag> class OnePBulkProblem;
+
+namespace Properties {
+// create the type tag nodes
+NEW_TYPE_TAG(OnePBulk, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(OnePBulkTpfa, INHERITS_FROM(OnePBulk, CCTpfaFacetCouplingModel));
+NEW_TYPE_TAG(OnePBulkBox, INHERITS_FROM(OnePBulk, BoxFacetCouplingModel));
+
+// Set the grid type
+SET_TYPE_PROP(OnePBulk, Grid, Dune::ALUGrid<2, 2, Dune::simplex, Dune::conforming>);
+// Set the problem type
+SET_TYPE_PROP(OnePBulk, Problem, OnePBulkProblem<TypeTag>);
+// set the spatial params
+SET_TYPE_PROP(OnePBulk, SpatialParams, OnePSpatialParams< typename GET_PROP_TYPE(TypeTag, FVGridGeometry),
+                                                          typename GET_PROP_TYPE(TypeTag, Scalar) >);
+
+// the fluid system
+SET_PROP(OnePBulk, FluidSystem)
+{
+private:
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+    using type = FluidSystems::OnePLiquid< Scalar, Components::SimpleH2O<Scalar> >;
+};
+
+} // end namespace Properties
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup OnePTests
+ * \brief The problem for the bulk domain of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+template<class TypeTag>
+class OnePBulkProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+
+    using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
+    using PrimaryVariables = typename GridVariables::PrimaryVariables;
+    using Scalar = typename GridVariables::Scalar;
+
+    using FVGridGeometry = typename GridVariables::GridGeometry;
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolume = typename FVGridGeometry::SubControlVolume;
+    using SubControlVolumeFace = typename FVGridGeometry::SubControlVolumeFace;
+    using GridView = typename FVGridGeometry::GridView;
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+    using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+
+public:
+    OnePBulkProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                    std::shared_ptr<typename ParentType::SpatialParams> spatialParams,
+                    std::shared_ptr<CouplingManager> couplingManager,
+                    const std::string& paramGroup = "")
+    : ParentType(fvGridGeometry, spatialParams, paramGroup)
+    , couplingManagerPtr_(couplingManager)
+    , overPressure_(getParamFromGroup<Scalar>(paramGroup, "Problem.BoundaryOverpressure"))
+    {
+        problemName_  =  getParamFromGroup<std::string>(this->paramGroup(), "Vtk.OutputName") + "_" +
+                         getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
+    }
+
+    //! The problem name.
+    const std::string& name() const
+    { return problemName_; }
+
+    //! Specifies the type of boundary condition at a given position
+    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+    {
+        BoundaryTypes values;
+        values.setAllNeumann();
+        if (globalPos[0] < 1e-6 || globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - 1e-6)
+            values.setAllDirichlet();
+        return values;
+    }
+
+    //! Specifies the type of interior boundary condition at a given position
+    BoundaryTypes interiorBoundaryTypes(const Element& element, const SubControlVolumeFace& scvf) const
+    {
+        BoundaryTypes values;
+        values.setAllNeumann();
+        return values;
+    }
+
+    //! Evaluate the source term at a given position
+    NumEqVector sourceAtPos(const GlobalPosition& globalPos) const
+    { return NumEqVector(0.0); }
+
+    //! evaluates the Dirichlet boundary condition for a given position
+    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+    {
+        auto values = initialAtPos(globalPos);
+        if (globalPos[0] < 1e-6)
+            values[Indices::pressureIdx] += overPressure_;
+        return values;
+    }
+
+    //! evaluates the Neumann boundary condition for a boundary segment
+    template<class ElementVolumeVariables>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const SubControlVolumeFace& scvf) const
+    { return NumEqVector(0.0); }
+
+    //! evaluate the initial conditions
+    PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const
+    { return PrimaryVariables(1.0e5); }
+
+    //! returns the temperature in \f$\mathrm{[K]}\f$ in the domain
+    Scalar temperature() const
+    { return 283.15; /*10°*/ }
+
+    //! returns reference to the coupling manager.
+    const CouplingManager& couplingManager() const
+    { return *couplingManagerPtr_; }
+
+private:
+    std::shared_ptr<CouplingManager> couplingManagerPtr_;
+    Scalar overPressure_;
+    std::string problemName_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/problem_1p_lowdim.hh b/test/multidomain/facet/tracer_tracer/problem_1p_lowdim.hh
new file mode 100644
index 0000000000..57cdc3734c
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/problem_1p_lowdim.hh
@@ -0,0 +1,162 @@
+// -*- 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 MultiDomain
+ * \ingroup FacetCoupling
+ * \brief The problem for the facet domain of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_LOWDIMPROBLEM_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_LOWDIMPROBLEM_HH
+
+#include <dune/foamgrid/foamgrid.hh>
+
+#include <dumux/material/components/simpleh2o.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+
+#include <dumux/discretization/box/properties.hh>
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+
+#include <dumux/porousmediumflow/problem.hh>
+#include <dumux/porousmediumflow/1p/model.hh>
+
+#include "spatialparams_1p.hh"
+
+namespace Dumux {
+// forward declarations
+template<class TypeTag> class OnePLowDimProblem;
+
+namespace Properties {
+// create the type tag nodes
+NEW_TYPE_TAG(OnePLowDim, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(OnePLowDimTpfa, INHERITS_FROM(CCTpfaModel, OnePLowDim));
+NEW_TYPE_TAG(OnePLowDimBox, INHERITS_FROM(BoxModel, OnePLowDim));
+
+// Set the grid type
+SET_TYPE_PROP(OnePLowDim, Grid, Dune::FoamGrid<1, 2>);
+// Set the problem type
+SET_TYPE_PROP(OnePLowDim, Problem, OnePLowDimProblem<TypeTag>);
+// set the spatial params
+SET_TYPE_PROP(OnePLowDim, SpatialParams, OnePSpatialParams< typename GET_PROP_TYPE(TypeTag, FVGridGeometry),
+                                                            typename GET_PROP_TYPE(TypeTag, Scalar) >);
+
+// the fluid system
+SET_PROP(OnePLowDim, FluidSystem)
+{
+private:
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+    using type = FluidSystems::OnePLiquid< Scalar, Components::SimpleH2O<Scalar> >;
+};
+} // end namespace Properties
+
+/*!
+ * \ingroup OnePTests
+ * \brief The problem for the facet domain of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+template<class TypeTag>
+class OnePLowDimProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+
+    using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
+    using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView;
+    using PrimaryVariables = typename GridVariables::PrimaryVariables;
+    using Scalar = typename GridVariables::Scalar;
+
+    using FVGridGeometry = typename GridVariables::GridGeometry;
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolume = typename FVGridGeometry::SubControlVolume;
+    using GridView = typename FVGridGeometry::GridView;
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+    using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+
+public:
+    OnePLowDimProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                      std::shared_ptr<typename ParentType::SpatialParams> spatialParams,
+                      std::shared_ptr<CouplingManager> couplingManager,
+                      const std::string& paramGroup = "")
+    : ParentType(fvGridGeometry, spatialParams, paramGroup)
+    , couplingManagerPtr_(couplingManager)
+    , aperture_(getParamFromGroup<Scalar>(paramGroup, "Problem.FractureAperture"))
+    {
+        problemName_  =  getParamFromGroup<std::string>(this->paramGroup(), "Vtk.OutputName") + "_" +
+                         getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
+    }
+
+    //! The problem name.
+    const std::string& name() const
+    { return problemName_; }
+
+    //! Specifies the type of boundary condition at a given position
+    BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const
+    {
+        BoundaryTypes values;
+        values.setAllNeumann();
+        return values;
+    }
+
+    //! Evaluate the source term at a given position
+    NumEqVector source(const Element& element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume& scv) const
+    {
+        // evaluate sources from bulk domain
+        auto source = couplingManagerPtr_->evalSourcesFromBulk(element, fvGeometry, elemVolVars, scv);
+        source /= scv.volume()*elemVolVars[scv].extrusionFactor();
+        return source;
+    }
+
+    //! evaluates the Dirichlet boundary condition for a given position
+    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+    { return initialAtPos(globalPos); }
+
+    //! Set the aperture as extrusion factor.
+    Scalar extrusionFactorAtPos(const GlobalPosition& globalPos) const
+    { return aperture_; }
+
+    //! evaluate the initial conditions
+    PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const
+    { return PrimaryVariables(1.0e5); }
+
+    //! returns the temperature in \f$\mathrm{[K]}\f$ in the domain
+    Scalar temperature() const
+    { return 283.15; /*10°*/ }
+
+    //! returns reference to the coupling manager.
+    const CouplingManager& couplingManager() const
+    { return *couplingManagerPtr_; }
+
+private:
+    std::shared_ptr<CouplingManager> couplingManagerPtr_;
+    Scalar aperture_;
+    std::string problemName_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/problem_tracer_bulk.hh b/test/multidomain/facet/tracer_tracer/problem_tracer_bulk.hh
new file mode 100644
index 0000000000..6718828ece
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/problem_tracer_bulk.hh
@@ -0,0 +1,207 @@
+// -*- 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 The problem for the bulk domain of the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_BULK_PROBLEM_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_BULK_PROBLEM_HH
+
+#include <dune/alugrid/grid.hh>
+
+#include <dumux/multidomain/facet/box/properties.hh>
+#include <dumux/multidomain/facet/cellcentered/tpfa/properties.hh>
+
+#include <dumux/porousmediumflow/tracer/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+
+#include <dumux/material/fluidsystems/base.hh>
+
+#include "spatialparams_tracer.hh"
+#include "tracerfluidsystem.hh"
+#include "tracermodeltraits.hh"
+
+namespace Dumux {
+
+template <class TypeTag>
+class TracerBulkProblem;
+
+namespace Properties {
+NEW_TYPE_TAG(TracerTestBulk, INHERITS_FROM(Tracer));
+
+// define the type tags
+NEW_TYPE_TAG(TracerBulkTpfa, INHERITS_FROM(TracerTestBulk, CCTpfaFacetCouplingModel));
+NEW_TYPE_TAG(TracerBulkBox, INHERITS_FROM(TracerTestBulk, BoxFacetCouplingModel));
+
+// Set the grid type
+SET_TYPE_PROP(TracerTestBulk, Grid, Dune::ALUGrid<2, 2, Dune::simplex, Dune::conforming>);
+
+//! Overwrite the advection type property
+SET_TYPE_PROP(TracerBulkTpfa, AdvectionType, StationaryVelocityField<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+SET_TYPE_PROP(TracerBulkBox, AdvectionType, StationaryVelocityField<typename GET_PROP_TYPE(TypeTag, Scalar)>);
+
+// Set the problem property
+SET_TYPE_PROP(TracerTestBulk, Problem, TracerBulkProblem<TypeTag>);
+
+// Set the spatial parameters
+SET_PROP(TracerTestBulk, SpatialParams)
+{
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using type = TracerSpatialParams<FVGridGeometry, Scalar>;
+};
+
+// Define whether mole(true) or mass (false) fractions are used
+SET_BOOL_PROP(TracerTestBulk, UseMoles, false);
+
+//! set the model traits (with disabled diffusion)
+SET_PROP(TracerTestBulk, ModelTraits)
+{
+private:
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+public:
+    using type = TracerTestModelTraits<FluidSystem::numComponents, GET_PROP_VALUE(TypeTag, UseMoles)>;
+};
+
+// use the test-specific fluid system
+SET_TYPE_PROP(TracerTestBulk, FluidSystem, TracerFluidSystem<TypeTag>);
+} // end namespace Properties
+
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup TracerModel
+ * \brief The problem for the bulk domain of the tracer facet coupling test
+ */
+template <class TypeTag>
+class TracerBulkProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+    using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+
+    //! property that defines whether mole or mass fractions are used
+    static constexpr bool useMoles = GET_PROP_VALUE(TypeTag, UseMoles);
+
+    using Element = typename FVGridGeometry::GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+public:
+    using typename ParentType::SpatialParams;
+
+    TracerBulkProblem(std::shared_ptr<const FVGridGeometry> fvGridGeom,
+                      std::shared_ptr<SpatialParams> spatialParams,
+                      std::shared_ptr<CouplingManager> couplingManager,
+                      const std::string& paramGroup = "")
+    : ParentType(fvGridGeom, spatialParams, paramGroup)
+    , couplingManagerPtr_(couplingManager)
+    , initialMassFraction_(getParamFromGroup<Scalar>(paramGroup, "Problem.ContaminationMassFraction"))
+    {
+        // stating in the console whether mole or mass fractions are used
+        const auto problemName = getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
+        std::cout<< "problem " << problemName << " uses " << (useMoles ? "mole" : "mass") << " fractions" << '\n';
+        problemName_  =  getParamFromGroup<std::string>(this->paramGroup(), "Vtk.OutputName") + "_" + problemName;
+    }
+
+    //! The problem name.
+    const std::string& name() const
+    { return problemName_; }
+
+    /*!
+     * \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;
+        values.setAllNeumann();
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     * \param globalPos The position for which the initial condition should be evaluated
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    {
+        if (isInContaminatedRegion_(globalPos))
+            return PrimaryVariables(initialMassFraction_);
+        return PrimaryVariables(0.0);
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a neumann
+     *        boundary segment.
+     *
+     * \param element The finite element
+     * \param fvGeometry The finite-volume geometry
+     * \param elemVolVars All volume variables for the element
+     * \param scvf The sub control volume face
+     *
+     * Negative values mean influx.
+     * E.g. for the mass balance that would the mass flux in \f$ [ kg / (m^2 \cdot s)] \f$.
+     */
+    template<class ElementVolumeVariables, class SubControlVolumeFace>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        // get the volume flux on this segment
+        const auto flux = this->spatialParams().volumeFlux(element, fvGeometry, elemVolVars, scvf);
+        if (flux > 0.0)
+        {
+            const auto& insideVolVars = elemVolVars[fvGeometry.scv(scvf.insideScvIdx())];
+            const auto tracerFlux = insideVolVars.massFraction(/*phaseIdx*/0, /*compIdx*/0)*flux;
+            return NumEqVector(tracerFlux);
+        }
+
+        return NumEqVector(0.0);
+    }
+
+    //! returns reference to the coupling manager.
+    const CouplingManager& couplingManager() const
+    { return *couplingManagerPtr_; }
+
+private:
+    bool isInContaminatedRegion_(const GlobalPosition& globalPos) const
+    {
+        return globalPos[0] > 0.75 && globalPos[0] < 1.3
+               && globalPos[1] > 5.3 && globalPos[1] < 5.8;
+    }
+
+    std::shared_ptr<CouplingManager> couplingManagerPtr_;
+    Scalar initialMassFraction_;
+    std::string problemName_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/problem_tracer_lowdim.hh b/test/multidomain/facet/tracer_tracer/problem_tracer_lowdim.hh
new file mode 100644
index 0000000000..a96185c465
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/problem_tracer_lowdim.hh
@@ -0,0 +1,218 @@
+// -*- 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 The problem for the lowdim domain of the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_LOWDIM_PROBLEM_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_LOWDIM_PROBLEM_HH
+
+#include <dune/foamgrid/foamgrid.hh>
+
+#include <dumux/discretization/box/properties.hh>
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+
+#include <dumux/porousmediumflow/tracer/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+
+#include <dumux/material/fluidsystems/base.hh>
+
+#include "spatialparams_tracer.hh"
+#include "tracerfluidsystem.hh"
+#include "tracermodeltraits.hh"
+
+namespace Dumux {
+
+template <class TypeTag>
+class TracerLowDimProblem;
+
+namespace Properties {
+NEW_TYPE_TAG(TracerTestLowDim, INHERITS_FROM(Tracer));
+
+// define the type tags for both bulk and lowdim type tag here
+NEW_TYPE_TAG(TracerLowDimTpfa, INHERITS_FROM(CCTpfaModel, TracerTestLowDim));
+NEW_TYPE_TAG(TracerLowDimBox, INHERITS_FROM(BoxModel, TracerTestLowDim));
+
+// Set the grid type
+SET_TYPE_PROP(TracerTestLowDim, Grid, Dune::FoamGrid<1, 2>);
+
+// Set the problem property
+SET_TYPE_PROP(TracerTestLowDim, Problem, TracerLowDimProblem<TypeTag>);
+
+// Set the spatial parameters
+SET_PROP(TracerTestLowDim, SpatialParams)
+{
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using type = TracerSpatialParams<FVGridGeometry, Scalar>;
+};
+
+// Define whether mole(true) or mass (false) fractions are used
+SET_BOOL_PROP(TracerTestLowDim, UseMoles, false);
+
+//! set the model traits (with disabled diffusion)
+SET_PROP(TracerTestLowDim, ModelTraits)
+{
+private:
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+public:
+    using type = TracerTestModelTraits<FluidSystem::numComponents, GET_PROP_VALUE(TypeTag, UseMoles)>;
+};
+
+// use the test-specific fluid system
+SET_TYPE_PROP(TracerTestLowDim, FluidSystem, TracerFluidSystem<TypeTag>);
+} // end namespace Properties
+
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup TracerModel
+ *
+ * \brief The problem for the bulk domain of the tracer facet coupling test
+ */
+template <class TypeTag>
+class TracerLowDimProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+    using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+
+    //! property that defines whether mole or mass fractions are used
+    static constexpr bool useMoles = GET_PROP_VALUE(TypeTag, UseMoles);
+
+    using Element = typename FVGridGeometry::GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+public:
+    using typename ParentType::SpatialParams;
+
+    TracerLowDimProblem(std::shared_ptr<const FVGridGeometry> fvGridGeom,
+                      std::shared_ptr<SpatialParams> spatialParams,
+                      std::shared_ptr<CouplingManager> couplingManager,
+                      const std::string& paramGroup = "")
+    : ParentType(fvGridGeom, spatialParams, paramGroup)
+    , couplingManagerPtr_(couplingManager)
+    , aperture_(getParamFromGroup<Scalar>(paramGroup, "Problem.FractureAperture"))
+    {
+        // stating in the console whether mole or mass fractions are used
+        const auto problemName = getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name");
+        std::cout<< "problem " << problemName << " uses " << (useMoles ? "mole" : "mass") << " fractions" << '\n';
+        problemName_  =  getParamFromGroup<std::string>(this->paramGroup(), "Vtk.OutputName") + "_" + problemName;
+    }
+
+    //! The problem name.
+    const std::string& name() const
+    { return problemName_; }
+
+    /*!
+     * \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;
+        values.setAllNeumann();
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     * \param globalPos The position for which the initial condition should be evaluated
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    { return PrimaryVariables(0.0); }
+
+    /*!
+     * \brief Evaluate the Dirichlet boudnary conditions for a control volume.
+     * \param globalPos The position for which the initial condition should be evaluated
+     */
+    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+    { return initialAtPos(globalPos); }
+
+    //! Evaluate the source term at a given position
+    template<class ElementVolumeVariables, class SubControlVolume>
+    NumEqVector source(const Element& element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume& scv) const
+    {
+        // evaluate sources from bulk domain
+        auto source = couplingManagerPtr_->evalSourcesFromBulk(element, fvGeometry, elemVolVars, scv);
+        source /= scv.volume()*elemVolVars[scv].extrusionFactor();
+        return source;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a neumann
+     *        boundary segment.
+     *
+     * \param element The finite element
+     * \param fvGeometry The finite-volume geometry
+     * \param elemVolVars All volume variables for the element
+     * \param scvf The sub control volume face
+     *
+     * Negative values mean influx.
+     * E.g. for the mass balance that would the mass flux in \f$ [ kg / (m^2 \cdot s)] \f$.
+     */
+    template<class ElementVolumeVariables, class SubControlVolumeFace>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        // get the volume flux on this segment
+        const auto flux = this->spatialParams().volumeFlux(element, fvGeometry, elemVolVars, scvf);
+        if (flux > 0.0)
+        {
+            const auto& insideVolVars = elemVolVars[fvGeometry.scv(scvf.insideScvIdx())];
+            const auto tracerFlux = insideVolVars.massFraction(/*phaseIdx*/0, /*compIdx*/0)*flux;
+            return NumEqVector(tracerFlux);
+        }
+
+        return NumEqVector(0.0);
+    }
+
+    //! Set the aperture as extrusion factor.
+    Scalar extrusionFactorAtPos(const GlobalPosition& globalPos) const
+    { return aperture_; }
+
+    //! returns reference to the coupling manager.
+    const CouplingManager& couplingManager() const
+    { return *couplingManagerPtr_; }
+
+private:
+    std::shared_ptr<CouplingManager> couplingManagerPtr_;
+    Scalar aperture_;
+    std::string problemName_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/spatialparams_1p.hh b/test/multidomain/facet/tracer_tracer/spatialparams_1p.hh
new file mode 100644
index 0000000000..ca2ae65c1a
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/spatialparams_1p.hh
@@ -0,0 +1,76 @@
+// -*- 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 OnePTests
+ * \brief The spatial params of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_SPATIALPARAMS_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_ONEP_SPATIALPARAMS_HH
+
+#include <dumux/material/spatialparams/fv1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup OnePTests
+ * \brief The spatial params of the single-phase problem
+ *        within the tracer facet coupling test
+ */
+template< class FVGridGeometry, class Scalar >
+class OnePSpatialParams
+: public FVSpatialParamsOneP< FVGridGeometry, Scalar, OnePSpatialParams<FVGridGeometry, Scalar> >
+{
+    using ThisType = OnePSpatialParams< FVGridGeometry, Scalar >;
+    using ParentType = FVSpatialParamsOneP< FVGridGeometry, Scalar, ThisType >;
+
+    using GridView = typename FVGridGeometry::GridView;
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+public:
+    //! export the type used for permeabilities
+    using PermeabilityType = Scalar;
+
+    //! the constructor
+    OnePSpatialParams(std::shared_ptr<const FVGridGeometry> fvGridGeometry, const std::string& paramGroup = "")
+    : ParentType(fvGridGeometry)
+    , permeability_(getParamFromGroup<Scalar>(paramGroup, "SpatialParams.Permeability"))
+    , porosity_(getParamFromGroup<Scalar>(paramGroup, "SpatialParams.Porosity"))
+    {}
+
+    //! Function for defining the (intrinsic) permeability \f$[m^2]\f$.
+    PermeabilityType permeabilityAtPos(const GlobalPosition& globalPos) const
+    { return permeability_; }
+
+    //! Return the porosity
+    Scalar porosityAtPos(const GlobalPosition& globalPos) const
+    { return porosity_; }
+
+private:
+    PermeabilityType permeability_;
+    Scalar porosity_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/spatialparams_tracer.hh b/test/multidomain/facet/tracer_tracer/spatialparams_tracer.hh
new file mode 100644
index 0000000000..7b15b01e5b
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/spatialparams_tracer.hh
@@ -0,0 +1,104 @@
+// -*- 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_TEST_TPFAFACETCOUPLING_TRACER_SPATIALPARAMS_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_SPATIALPARAMS_HH
+
+#include <dumux/porousmediumflow/properties.hh>
+#include <dumux/material/spatialparams/fv1p.hh>
+
+namespace Dumux {
+
+/*!
+ * \ingroup TracerTests
+ * \brief Definition of the spatial parameters for the tracer problem
+ */
+template<class FVGridGeometry, class Scalar>
+class TracerSpatialParams
+: public FVSpatialParamsOneP<FVGridGeometry, Scalar,
+                             TracerSpatialParams<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 = FVSpatialParamsOneP<FVGridGeometry, Scalar,
+                                           TracerSpatialParams<FVGridGeometry, Scalar>>;
+
+    static constexpr bool isBox = FVGridGeometry::discMethod == DiscretizationMethod::box;
+    static constexpr int dimWorld = GridView::dimensionworld;
+    using GlobalPosition = typename Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+
+    TracerSpatialParams(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                        const std::vector< std::vector<Scalar> >& volumeFluxes,
+                        const std::string& paramGroup = "")
+    : ParentType(fvGridGeometry)
+    , volumeFlux_(volumeFluxes)
+    , porosity_(getParamFromGroup<Scalar>(paramGroup, "SpatialParams.Porosity"))
+    {}
+
+    /*!
+     * \brief Define the porosity \f$\mathrm{[-]}\f$.
+     *
+     * \param globalPos The global position
+     */
+    Scalar porosityAtPos(const GlobalPosition& globalPos) const
+    { return porosity_; }
+
+    //! Fluid properties that are spatial params 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 1000; }
+
+    //! fluid molar mass
+    Scalar fluidMolarMass(const Element &element,
+                          const SubControlVolume& scv) const
+    { return 18.0; }
+
+    Scalar fluidMolarMass(const GlobalPosition &globalPos) const
+    { return 18.0; }
+
+    //! velocity field
+    template<class ElementVolumeVariables>
+    Scalar volumeFlux(const Element &element,
+                      const FVElementGeometry& fvGeometry,
+                      const ElementVolumeVariables& elemVolVars,
+                      const SubControlVolumeFace& scvf) const
+    {
+        return isBox ? volumeFlux_[this->fvGridGeometry().elementMapper().index(element)][scvf.index()]
+                     : volumeFlux_[scvf.index()][0];
+    }
+
+private:
+    std::vector< std::vector<Scalar> > volumeFlux_;
+    Scalar porosity_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/tracerfluidsystem.hh b/test/multidomain/facet/tracer_tracer/tracerfluidsystem.hh
new file mode 100644
index 0000000000..a363bf81b0
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/tracerfluidsystem.hh
@@ -0,0 +1,77 @@
+// -*- 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 Fluid system for the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_FLUIDSYSTEM_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_FLUIDSYSTEM_HH
+
+#include <dumux/material/fluidsystems/base.hh>
+
+namespace Dumux {
+
+//! A simple fluid system with one tracer component
+template<class TypeTag>
+class TracerFluidSystem : public FluidSystems::Base<typename GET_PROP_TYPE(TypeTag, Scalar),
+                                                               TracerFluidSystem<TypeTag>>
+{
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+    using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+    using Element = typename GridView::template Codim<0>::Entity;
+    using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, 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); }
+
+    //! Human readable phase name (index phaseIdx) (for velocity vtk output)
+    static std::string phaseName(int phaseIdx = 0)
+    { return "Groundwater"; }
+
+    //! 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)
+    { return 0.0; }
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/facet/tracer_tracer/tracermodeltraits.hh b/test/multidomain/facet/tracer_tracer/tracermodeltraits.hh
new file mode 100644
index 0000000000..b5b60ab08a
--- /dev/null
+++ b/test/multidomain/facet/tracer_tracer/tracermodeltraits.hh
@@ -0,0 +1,40 @@
+// -*- 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 The model traits usedin the tracer facet coupling test
+ */
+#ifndef DUMUX_TEST_TPFAFACETCOUPLING_TRACER_MODELTRAITS_HH
+#define DUMUX_TEST_TPFAFACETCOUPLING_TRACER_MODELTRAITS_HH
+
+#include <dumux/porousmediumflow/tracer/model.hh>
+
+namespace Dumux {
+
+//! custom model traits disabling diffusion
+template<int nComp, bool useMol>
+struct TracerTestModelTraits : public TracerModelTraits<nComp, useMol>
+{
+    static constexpr bool enableMolecularDiffusion() { return false; }
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu b/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
new file mode 100644
index 0000000000..fd6992501d
--- /dev/null
+++ b/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
@@ -0,0 +1,2920 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+  <UnstructuredGrid>
+    <Piece NumberOfCells="1928" NumberOfPoints="5784">
+      <PointData Scalars="p">
+        <DataArray type="Float32" Name="p" NumberOfComponents="1" format="ascii">
+          110000 109396 108869 110000 110000 109396 108869 109396 108751 107902 108869 108165
+          108869 108751 108165 110000 109274 109396 108751 109396 109274 108751 108000 108165
+          108751 109274 108546 108751 108546 108000 107902 108165 107459 107099 107902 107459
+          107099 107459 106777 106457 107099 106777 106255 106457 106777 106204 106255 106777
+          107422 108165 108000 107422 107459 108165 107422 108000 107225 107422 106777 107459
+          106638 106777 107422 106638 106204 106777 106638 107422 107225 106638 105719 106204
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diff --git a/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp b/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
new file mode 100644
index 0000000000..3f197d5347
--- /dev/null
+++ b/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
@@ -0,0 +1,95 @@
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diff --git a/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu b/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
new file mode 100644
index 0000000000..0f18fe8b81
--- /dev/null
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diff --git a/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp b/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
new file mode 100644
index 0000000000..0ed69d1293
--- /dev/null
+++ b/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
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diff --git a/test/references/test_md_facet_tracertracer_tpfa_onep_bulk-reference.vtu b/test/references/test_md_facet_tracertracer_tpfa_onep_bulk-reference.vtu
new file mode 100644
index 0000000000..996e1bde92
--- /dev/null
+++ b/test/references/test_md_facet_tracertracer_tpfa_onep_bulk-reference.vtu
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diff --git a/test/references/test_md_facet_tracertracer_tpfa_tracer_lowdim-reference.vtp b/test/references/test_md_facet_tracertracer_tpfa_tracer_lowdim-reference.vtp
new file mode 100644
index 0000000000..26d237857f
--- /dev/null
+++ b/test/references/test_md_facet_tracertracer_tpfa_tracer_lowdim-reference.vtp
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