From 8cb741d340eada991730cd33f4bde40403d3461b Mon Sep 17 00:00:00 2001
From: Timo Koch <timo.koch@iws.uni-stuttgart.de>
Date: Mon, 9 Jul 2018 18:45:11 +0200
Subject: [PATCH] [test][multidomain][embedded] Add test and references for
 1p1p 1d3d coupling

---
 test/CMakeLists.txt                           |    16 +-
 test/multidomain/CMakeLists.txt               |     1 +
 .../embedded/1d3d/1p_1p/CMakeLists.txt        |    73 +
 .../embedded/1d3d/1p_1p/bloodflowproblem.hh   |   381 +
 .../1d3d/1p_1p/bloodflowspatialparams.hh      |    93 +
 .../multidomain/embedded/1d3d/1p_1p/l2norm.hh |   108 +
 .../embedded/1d3d/1p_1p/test_1p_1p.cc         |   292 +
 .../embedded/1d3d/1p_1p/test_1p_1p.input      |    39 +
 .../embedded/1d3d/1p_1p/tissueproblem.hh      |   432 +
 .../1d3d/1p_1p/tissuespatialparams.hh         |    92 +
 test/multidomain/embedded/1d3d/CMakeLists.txt |     1 +
 test/multidomain/embedded/CMakeLists.txt      |     1 +
 ...t_embedded_1d3d_1p1p_boxbox_average_1d.vtp |    45 +
 ...t_embedded_1d3d_1p1p_boxbox_average_3d.vtu |  9652 ++++++++++++++
 ...embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp |    43 +
 ...embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu | 11012 ++++++++++++++++
 16 files changed, 22273 insertions(+), 8 deletions(-)
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/CMakeLists.txt
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/bloodflowproblem.hh
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/bloodflowspatialparams.hh
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/l2norm.hh
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.cc
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.input
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/tissueproblem.hh
 create mode 100644 test/multidomain/embedded/1d3d/1p_1p/tissuespatialparams.hh
 create mode 100644 test/multidomain/embedded/1d3d/CMakeLists.txt
 create mode 100644 test/multidomain/embedded/CMakeLists.txt
 create mode 100644 test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp
 create mode 100644 test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu
 create mode 100644 test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp
 create mode 100644 test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu

diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index 3a49a60b74..416332236d 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -1,8 +1,8 @@
-add_subdirectory("common")
-add_subdirectory("geomechanics")
-add_subdirectory("freeflow")
-add_subdirectory("io")
-add_subdirectory("material")
-#add_subdirectory("mixeddimension")
-add_subdirectory("porousmediumflow")
-add_subdirectory("discretization")
+add_subdirectory(common)
+add_subdirectory(geomechanics)
+add_subdirectory(freeflow)
+add_subdirectory(io)
+add_subdirectory(material)
+add_subdirectory(multidomain)
+add_subdirectory(porousmediumflow)
+add_subdirectory(discretization)
diff --git a/test/multidomain/CMakeLists.txt b/test/multidomain/CMakeLists.txt
index 9306dcccc4..fe1923bdc7 100644
--- a/test/multidomain/CMakeLists.txt
+++ b/test/multidomain/CMakeLists.txt
@@ -1 +1,2 @@
+add_subdirectory(embedded)
 add_subdirectory(poromechanics)
diff --git a/test/multidomain/embedded/1d3d/1p_1p/CMakeLists.txt b/test/multidomain/embedded/1d3d/1p_1p/CMakeLists.txt
new file mode 100644
index 0000000000..c0e1b22e17
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/CMakeLists.txt
@@ -0,0 +1,73 @@
+dune_add_test(NAME test_embedded_1d3d_1p1p_tpfatpfa_average
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueCCTypeTag LOWDIMTYPETAG=BloodFlowCCTypeTag COUPLINGMODE=EmbeddedCouplingMode::average
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMAKE_GUARD dune-foamgrid_FOUND
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfatpfa_average_1d-00001.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfatpfa_average_3d-00001.vtu
+                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfatpfa_average test_1p_1p.input \
+                                   -Problem.Name test_embedded_1d3d_1p1p_tpfatpfa_average")
+
+dune_add_test(NAME test_embedded_1d3d_1p1p_boxtpfa_average
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueBoxTypeTag LOWDIMTYPETAG=BloodFlowCCTypeTag COUPLINGMODE=EmbeddedCouplingMode::average
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMAKE_GUARD dune-foamgrid_FOUND
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxtpfa_average_1d-00001.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxtpfa_average_3d-00001.vtu
+                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxtpfa_average test_1p_1p.input \
+                                   -Problem.Name test_embedded_1d3d_1p1p_boxtpfa_average -Tissue.Grid.Cells \"19 19 19\"")
+
+dune_add_test(NAME test_embedded_1d3d_1p1p_tpfabox_average
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueCCTypeTag LOWDIMTYPETAG=BloodFlowBoxTypeTag COUPLINGMODE=EmbeddedCouplingMode::average
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMAKE_GUARD dune-foamgrid_FOUND
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfabox_average_1d-00001.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfabox_average_3d-00001.vtu
+                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_tpfabox_average test_1p_1p.input \
+                                   -Problem.Name test_embedded_1d3d_1p1p_tpfabox_average")
+
+dune_add_test(NAME test_embedded_1d3d_1p1p_boxbox_average
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueBoxTypeTag LOWDIMTYPETAG=BloodFlowBoxTypeTag COUPLINGMODE=EmbeddedCouplingMode::average
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMAKE_GUARD dune-foamgrid_FOUND
+              CMD_ARGS  --script fuzzy
+                        --files ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxbox_average_1d-00001.vtp
+                                ${CMAKE_SOURCE_DIR}/test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxbox_average_3d-00001.vtu
+                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_embedded_1d3d_1p1p_boxbox_average test_1p_1p.input \
+                                   -Problem.Name test_embedded_1d3d_1p1p_boxbox_average -Tissue.Grid.Cells \"19 19 19\"")
+
+# make sure these configurations compile and run too
+dune_add_test(NAME test_embedded_1d3d_1p1p_tpfatpfa_cylindersources
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueCCTypeTag LOWDIMTYPETAG=BloodFlowCCTypeTag COUPLINGMODE=EmbeddedCouplingMode::cylindersources
+              COMMAND ./test_embedded_1d3d_1p1p_tpfatpfa_cylindersources
+              CMD_ARGS test_1p_1p.input)
+
+dune_add_test(NAME test_embedded_1d3d_1p1p_tpfatpfa_line
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueCCTypeTag LOWDIMTYPETAG=BloodFlowCCTypeTag COUPLINGMODE=EmbeddedCouplingMode::line
+              COMMAND ./test_embedded_1d3d_1p1p_tpfatpfa_line
+              CMD_ARGS test_1p_1p.input)
+
+dune_add_test(NAME test_embedded_1d3d_1p1p_tpfatpfa_kernel
+              SOURCES test_1p_1p.cc
+              COMPILE_DEFINITIONS BULKTYPETAG=TissueCCTypeTag LOWDIMTYPETAG=BloodFlowCCTypeTag COUPLINGMODE=EmbeddedCouplingMode::kernel
+              COMMAND ./test_embedded_1d3d_1p1p_tpfatpfa_kernel
+              CMD_ARGS test_1p_1p.input)
+
+dune_symlink_to_source_files(FILES "grids" "test_1p_1p.input")
+set(CMAKE_BUILD_TYPE Release)
diff --git a/test/multidomain/embedded/1d3d/1p_1p/bloodflowproblem.hh b/test/multidomain/embedded/1d3d/1p_1p/bloodflowproblem.hh
new file mode 100644
index 0000000000..a00bf7160c
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/bloodflowproblem.hh
@@ -0,0 +1,381 @@
+// -*- 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 A test problem for the one-phase blood flow model:
+ * Blood is flowing through a 1d network grid.
+ */
+#ifndef DUMUX_BLOOD_FLOW_PROBLEM_HH
+#define DUMUX_BLOOD_FLOW_PROBLEM_HH
+
+#include <dune/foamgrid/foamgrid.hh>
+
+#include <dumux/common/parameters.hh>
+#include <dumux/common/properties.hh>
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+#include <dumux/discretization/box/properties.hh>
+
+#include <dumux/porousmediumflow/1p/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
+
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+
+#include "bloodflowspatialparams.hh"
+
+namespace Dumux {
+// forward declaration
+template <class TypeTag> class BloodFlowProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(BloodFlowTypeTag, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(BloodFlowCCTypeTag, INHERITS_FROM(CCTpfaModel, BloodFlowTypeTag));
+NEW_TYPE_TAG(BloodFlowBoxTypeTag, INHERITS_FROM(BoxModel, BloodFlowTypeTag));
+
+// Set the grid type
+SET_TYPE_PROP(BloodFlowTypeTag, Grid, Dune::FoamGrid<1, 3>);
+
+SET_BOOL_PROP(BloodFlowTypeTag, EnableFVGridGeometryCache, true);
+SET_BOOL_PROP(BloodFlowTypeTag, EnableGridVolumeVariablesCache, true);
+SET_BOOL_PROP(BloodFlowTypeTag, EnableGridFluxVariablesCache, true);
+SET_BOOL_PROP(BloodFlowTypeTag, SolutionDependentAdvection, false);
+SET_BOOL_PROP(BloodFlowTypeTag, SolutionDependentMolecularDiffusion, false);
+SET_BOOL_PROP(BloodFlowTypeTag, SolutionDependentHeatConduction, false);
+
+// Set the problem property
+SET_TYPE_PROP(BloodFlowTypeTag, Problem, BloodFlowProblem<TypeTag>);
+
+// the fluid system
+SET_PROP(BloodFlowTypeTag, FluidSystem)
+{
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
+};
+
+// Set the problem property
+SET_TYPE_PROP(BloodFlowTypeTag, LocalResidual, OnePIncompressibleLocalResidual<TypeTag>);
+
+// Set the spatial parameters
+SET_TYPE_PROP(BloodFlowTypeTag, SpatialParams,
+              BloodFlowSpatialParams<typename GET_PROP_TYPE(TypeTag, FVGridGeometry),
+                                     typename GET_PROP_TYPE(TypeTag, Scalar)>);
+} // end namespace Properties
+
+/*!
+ * \ingroup OnePTests
+ * \brief Exact solution 1D-3D
+ */
+template <class TypeTag>
+class BloodFlowProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+    using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using GridView = typename FVGridGeometry::GridView;
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolume = typename FVGridGeometry::SubControlVolume;
+    using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+    using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename FVGridGeometry::GlobalCoordinate;
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+
+public:
+    BloodFlowProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                     std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry)
+    , couplingManager_(couplingManager)
+    {
+        //read parameters from input file
+        name_ = getParam<std::string>("Problem.Name") + "_1d";
+        p_in_ = getParam<Scalar>("BoundaryConditions1D.PressureInput");
+        delta_p_ = getParam<Scalar>("BoundaryConditions1D.DeltaPressure");
+        exactPressure_.resize(this->fvGridGeometry().numDofs());
+
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            auto fvGeometry = localView(this->fvGridGeometry());
+            fvGeometry.bindElement(element);
+
+            for (auto&& scv : scvs(fvGeometry))
+                exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+        }
+    }
+
+    /*!
+     * \brief Return how much the domain is extruded at a given sub-control volume.
+     *
+     * The extrusion factor here makes extrudes the 1d line to a circular tube with
+     * cross-section area pi*r^2.
+     */
+    template<class ElementSolution>
+    Scalar extrusionFactor(const Element &element,
+                           const SubControlVolume &scv,
+                           const ElementSolution& elemSol) const
+    {
+        const auto eIdx = this->fvGridGeometry().elementMapper().index(element);
+        const auto radius = this->spatialParams().radius(eIdx);
+        return M_PI*radius*radius;
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    /*!
+     * \brief The problem name.
+     *
+     * This is used as a prefix for files generated by the simulation.
+     */
+    const std::string& name() const
+    { return name_; }
+
+    /*!
+     * \brief Return the temperature within the domain in [K].
+     *
+     */
+    Scalar temperature() const
+    { return 273.15 + 37.0; } // Body temperature
+
+    // \}
+    /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+   /*!
+     * \brief Specifies which kind of boundary condition should be
+     *        used for which equation on a given boundary segment.
+     *
+     * \param globalPos The global position
+     */
+    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+    {
+        BoundaryTypes values;
+        values.setAllDirichlet();
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a dirichlet
+     *        control volume.
+     *
+     * \param globalPos The global position
+     *
+     * For this method, the \a values parameter stores primary variables.
+     */
+    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+    {
+        PrimaryVariables values;
+        if(globalPos[2] > 0.5)
+            values[Indices::pressureIdx] = p_in_;
+        else
+            values[Indices::pressureIdx] = p_in_-delta_p_;
+        return values;
+    }
+
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+
+     /*!
+     * \brief Applies a vector of point sources. The point sources
+     *        are possibly solution dependent.
+     *
+     * \param pointSources A vector of PointSource s that contain
+              source values for all phases and space positions.
+     *
+     * For this method, the \a values method of the point source
+     * has to return the absolute mass rate in kg/s. Positive values mean
+     * that mass is created, negative ones mean that it vanishes.
+     */
+    void addPointSources(std::vector<PointSource>& pointSources) const
+    { pointSources = this->couplingManager().lowDimPointSources(); }
+
+    /*!
+     * \brief Evaluate the point sources (added by addPointSources)
+     *        for all phases within a given sub-control-volume.
+     *
+     * This is the method for the case where the point source is
+     * solution dependent and requires some quantities that
+     * are specific to the fully-implicit method.
+     *
+     * \param pointSource A single point source
+     * \param element The finite element
+     * \param fvGeometry The finite-volume geometry
+     * \param elemVolVars All volume variables for the element
+     * \param scv The sub-control volume within the element
+     *
+     * For this method, the \a values() method of the point sources returns
+     * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+     * that mass is created, negative ones mean that it vanishes.
+     */
+    template<class ElementVolumeVariables,
+             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
+             std::enable_if_t<!enable, int> = 0>
+    void pointSource(PointSource& source,
+                     const Element &element,
+                     const FVElementGeometry& fvGeometry,
+                     const ElementVolumeVariables& elemVolVars,
+                     const SubControlVolume &scv) const
+    {
+        // compute source at every integration point
+        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
+        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
+
+        // calculate the source
+        const Scalar radius = this->couplingManager().radius(source.id());
+        const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+        const Scalar sourceValue = beta*(pressure3D - pressure1D);//*bulkVolVars.density();
+
+        source = sourceValue*source.quadratureWeight()*source.integrationElement();
+    }
+
+    //! specialization for kernel method
+    template<class ElementVolumeVariables,
+             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
+             std::enable_if_t<enable, int> = 0>
+    void pointSource(PointSource& source,
+                     const Element &element,
+                     const FVElementGeometry& fvGeometry,
+                     const ElementVolumeVariables& elemVolVars,
+                     const SubControlVolume &scv) const
+    {
+        static const Scalar kernelWidth = getParam<Scalar>("MixedDimension.KernelWidth");
+        static const Scalar kernelFactor = std::log(kernelWidth)-9.0/10.0;
+
+        // compute source at every integration point
+        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
+        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
+
+        // calculate the source
+        const Scalar radius = this->couplingManager().radius(source.id());
+        const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+        const Scalar sourceValue = beta*(pressure3D / kernelFactor * std::log(radius) - pressure1D);//*bulkVolVars.density();
+
+        source = sourceValue*source.quadratureWeight()*source.integrationElement();
+    }
+
+    //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+    //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+    template<class MatrixBlock, class VolumeVariables>
+    void addSourceDerivatives(MatrixBlock& block,
+                              const Element& element,
+                              const FVElementGeometry& fvGeometry,
+                              const VolumeVariables& curElemVolVars,
+                              const SubControlVolume& scv) const
+    {
+        const auto eIdx = this->fvGridGeometry().elementMapper().index(element);
+
+        auto key = std::make_pair(eIdx, 0);
+        if (this->pointSourceMap().count(key))
+        {
+            // call the solDependent function. Herein the user might fill/add values to the point sources
+            // we make a copy of the local point sources here
+            auto pointSources = this->pointSourceMap().at(key);
+
+            // add the point source values to the local residual (negative sign is convention for source term)
+            for (const auto& source : pointSources)
+                block[0][0] -= this->couplingManager().pointSourceDerivative(source, Dune::index_constant<1>{}, Dune::index_constant<1>{});
+        }
+    }
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * For this method, the \a priVars parameter stores primary
+     * variables.
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    { return PrimaryVariables(0.0); }
+
+    // \}
+
+    //! The exact pressure solution
+    Scalar exactSolution(const GlobalPosition &globalPos) const
+    { return 1 + globalPos[2]; }
+
+    //! Called after every time step
+    //! Output the total global exchange term
+    void computeSourceIntegral(const SolutionVector& sol, const GridVariables& gridVars)
+    {
+        PrimaryVariables source(0.0);
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            auto fvGeometry = localView(this->fvGridGeometry());
+            fvGeometry.bindElement(element);
+
+            auto elemVolVars = localView(gridVars.curGridVolVars());
+            elemVolVars.bindElement(element, fvGeometry, sol);
+
+            for (auto&& scv : scvs(fvGeometry))
+            {
+                auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+                pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+                source += pointSources;
+            }
+        }
+
+        std::cout << "Global integrated source (1D): " << source << '\n';
+    }
+
+    /*!
+     * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+     */
+    template<class VtkOutputModule>
+    void addVtkOutputFields(VtkOutputModule& vtk) const
+    {
+        vtk.addField(exactPressure_, "exact pressure");
+    }
+
+    //! Set the coupling manager
+    void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+    { couplingManager_ = cm; }
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+private:
+    std::vector<Scalar> exactPressure_;
+
+    static constexpr Scalar eps_ = 1.5e-7;
+    std::string name_;
+
+    Scalar p_in_;
+    Scalar delta_p_;
+
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/embedded/1d3d/1p_1p/bloodflowspatialparams.hh b/test/multidomain/embedded/1d3d/1p_1p/bloodflowspatialparams.hh
new file mode 100644
index 0000000000..85e47ea902
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/bloodflowspatialparams.hh
@@ -0,0 +1,93 @@
+// -*- 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 OneTests
+ * \brief The spatial parameters class blood flow problem
+ */
+#ifndef DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+#define DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+
+#include <dumux/material/spatialparams/fv1p.hh>
+
+namespace Dumux {
+
+/*!
+ * \ingroup OneTests
+ * \brief Definition of the spatial parameters for the blood flow problem
+ */
+template<class FVGridGeometry, class Scalar>
+class BloodFlowSpatialParams
+: public FVSpatialParamsOneP<FVGridGeometry, Scalar, BloodFlowSpatialParams<FVGridGeometry, Scalar>>
+{
+    using ThisType = BloodFlowSpatialParams<FVGridGeometry, Scalar>;
+    using ParentType = FVSpatialParamsOneP<FVGridGeometry, Scalar, ThisType>;
+    using GlobalPosition = typename FVGridGeometry::GlobalCoordinate;
+
+public:
+    // export permeability type
+    using PermeabilityType = Scalar;
+
+    BloodFlowSpatialParams(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+    : ParentType(fvGridGeometry)
+    {
+        radius_ = getParam<Scalar>("SpatialParams.Radius");
+    }
+
+    /*!
+     * \brief Return the intrinsic permeability for the current sub-control volume in [m^2].
+     *
+     * \param ipGlobal The integration point
+     */
+    PermeabilityType permeabilityAtPos(const GlobalPosition& ipGlobal) const
+    {
+        return (1 + ipGlobal[2] + 0.5*ipGlobal[2]*ipGlobal[2])/(M_PI*radius(0)*radius(0));
+    }
+
+    //! we evaluate the permeability directly at the scvf since we have an analytical expression for it
+    static constexpr bool evaluatePermeabilityAtScvfIP()
+    { return true; }
+
+    /*!
+     * \brief Return the radius of the circular pipe for the current sub-control volume in [m].
+     *
+     * \param the index of the element
+     */
+    Scalar radius(unsigned int eIdxGlobal) const
+    {
+        return radius_;
+    }
+
+    /*!
+     * \brief Returns the porosity \f$[-]\f$
+     *
+     * \param globalPos the scv center
+     */
+    Scalar porosityAtPos(const GlobalPosition& globalPos) const
+    {
+        return 1.0;
+    }
+
+private:
+    Scalar radius_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/embedded/1d3d/1p_1p/l2norm.hh b/test/multidomain/embedded/1d3d/1p_1p/l2norm.hh
new file mode 100644
index 0000000000..06dbc72b9b
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/l2norm.hh
@@ -0,0 +1,108 @@
+// -*- 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 Helper functions to compute L2-norm
+ */
+#ifndef DUMUX_TEST_L2_NORM_HH
+#define DUMUX_TEST_L2_NORM_HH
+
+#include <cmath>
+#include <type_traits>
+#include <dune/geometry/quadraturerules.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/discretization/elementsolution.hh>
+#include <dumux/discretization/evalsolution.hh>
+
+namespace Dumux {
+
+template<class Scalar>
+struct L2Norm
+{
+    //! Calculate the L2-Norm of the solution and hmax of the grid
+    template<class Problem, class Solution>
+    static Scalar computeErrorNorm(const Problem &problem, const Solution& sol, int order)
+    {
+        // calculate the L2-Norm and hmax
+        Scalar norm = 0.0;
+
+        // iterate over all elements
+        const auto& gg = problem.fvGridGeometry();
+        for (const auto& element : elements(gg.gridView()))
+        {
+            const auto geometry = element.geometry();
+            const auto center = geometry.center();
+            const auto elemSol = elementSolution(element, sol, gg);
+
+            // maybe exclude some elements from the norm
+            static const bool excludeInnerBulk = getParam<bool>("Problem.NormExcludeInnerBulk");
+            static const Scalar radius = getParam<Scalar>("SpatialParams.Radius") + 0.01;
+            using GridView = std::decay_t<decltype(gg.gridView())>;
+            if (int(GridView::dimension) == 3 && excludeInnerBulk && std::sqrt(center[0]*center[0] + center[1]*center[1]) < radius)
+                continue;
+
+            const auto& quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+            for(auto&& qp : quad)
+            {
+                const auto globalPos = geometry.global(qp.position());
+                const Scalar pe = problem.exactSolution(globalPos);
+                const Scalar p = evalSolution(element, geometry, gg, elemSol, globalPos)[0];
+                norm += (p - pe)*(p - pe)*qp.weight()*geometry.integrationElement(qp.position());
+            }
+        }
+
+        return std::sqrt(norm);
+    }
+
+    template<class Problem>
+    static Scalar computeNormalization(const Problem &problem, int order)
+    {
+        // calculate the L2-Norm of the exact solution vector
+        Scalar norm = 0.0;
+
+        // iterate over all elements
+        const auto& gg = problem.fvGridGeometry();
+        for (const auto& element : elements(gg.gridView()))
+        {
+            const auto geometry = element.geometry();
+            const auto center = geometry.center();
+
+            // maybe exclude some elements from the norm
+            static const bool excludeInnerBulk = getParam<bool>("Problem.NormExcludeInnerBulk");
+            static const Scalar radius = getParam<Scalar>("SpatialParams.Radius") + 0.01;
+            using GridView = std::decay_t<decltype(gg.gridView())>;
+            if (int(GridView::dimension) == 3 && excludeInnerBulk && std::sqrt(center[0]*center[0] + center[1]*center[1]) < radius)
+                continue;
+
+            const auto& quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+            for(auto&& qp : quad)
+            {
+                const auto globalPos = geometry.global(qp.position());
+                const Scalar pe = problem.exactSolution(globalPos);
+                norm += pe*pe*qp.weight()*geometry.integrationElement(qp.position());
+            }
+        }
+
+        return std::sqrt(norm);
+    }
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.cc b/test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.cc
new file mode 100644
index 0000000000..15a4cded00
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.cc
@@ -0,0 +1,292 @@
+// -*- 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 1d-3d embedded mixed-dimension model coupling two
+ *        one-phase porous medium flow problems
+ */
+#include <config.h>
+
+#include <ctime>
+#include <iostream>
+#include <fstream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dune/common/timer.hh>
+#include <dune/istl/io.hh>
+
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/dumuxmessage.hh>
+#include <dumux/common/geometry/diameter.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/assembly/diffmethod.hh>
+#include <dumux/discretization/methods.hh>
+#include <dumux/io/vtkoutputmodule.hh>
+#include <dumux/io/grid/gridmanager.hh>
+
+#include <dumux/multidomain/traits.hh>
+#include <dumux/multidomain/fvassembler.hh>
+#include <dumux/multidomain/newtonsolver.hh>
+#include <dumux/multidomain/embedded/couplingmanager1d3d.hh>
+
+#include "bloodflowproblem.hh"
+#include "tissueproblem.hh"
+#include "l2norm.hh"
+
+// default to tpfa for both domains
+#ifndef BULKTYPETAG
+#define BULKTYPETAG=TissueCCTypeTag
+#endif
+#ifndef LOWDIMTYPETAG
+#define LOWDIMTYPETAG=BloodFlowCCTypeTag
+#endif
+#ifndef COUPLINGMODE
+#define COUPLINGMODE=EmbeddedCouplingMode::average
+#endif
+
+namespace Dumux {
+namespace Properties {
+
+template<class Traits>
+using TheCouplingManager = EmbeddedCouplingManager1d3d<Traits, COUPLINGMODE>;
+
+SET_TYPE_PROP(BULKTYPETAG, CouplingManager, TheCouplingManager<MultiDomainTraits<TypeTag, TTAG(LOWDIMTYPETAG)>>);
+SET_TYPE_PROP(BULKTYPETAG, PointSource, typename GET_PROP_TYPE(TypeTag, CouplingManager)::PointSourceTraits::template PointSource<0>);
+SET_TYPE_PROP(BULKTYPETAG, PointSourceHelper, typename GET_PROP_TYPE(TypeTag, CouplingManager)::PointSourceTraits::template PointSourceHelper<0>);
+
+SET_TYPE_PROP(LOWDIMTYPETAG, CouplingManager, TheCouplingManager<MultiDomainTraits<TTAG(BULKTYPETAG), TypeTag>>);
+SET_TYPE_PROP(LOWDIMTYPETAG, PointSource, typename GET_PROP_TYPE(TypeTag, CouplingManager)::PointSourceTraits::template PointSource<1>);
+SET_TYPE_PROP(LOWDIMTYPETAG, PointSourceHelper, typename GET_PROP_TYPE(TypeTag, CouplingManager)::PointSourceTraits::template PointSourceHelper<1>);
+
+} // end namespace Properties
+} // end namespace Dumux
+
+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);
+
+    // parse command line arguments and input file
+    Parameters::init(argc, argv);
+
+    // Define the sub problem type tags
+    using BulkTypeTag = TTAG(BULKTYPETAG);
+    using LowDimTypeTag = TTAG(LOWDIMTYPETAG);
+
+    // try to create a grid (from the given grid file or the input file)
+    // for both sub-domains
+    using BulkGridManager = Dumux::GridManager<typename GET_PROP_TYPE(BulkTypeTag, Grid)>;
+    BulkGridManager bulkGridManager;
+    bulkGridManager.init("Tissue"); // pass parameter group
+
+    using LowDimGridManager = Dumux::GridManager<typename GET_PROP_TYPE(LowDimTypeTag, Grid)>;
+    LowDimGridManager lowDimGridManager;
+    lowDimGridManager.init("Vessel"); // pass parameter group
+
+    ////////////////////////////////////////////////////////////
+    // run instationary non-linear problem on this grid
+    ////////////////////////////////////////////////////////////
+
+    // we compute on the leaf grid view
+    const auto& bulkGridView = bulkGridManager.grid().leafGridView();
+    const auto& lowDimGridView = lowDimGridManager.grid().leafGridView();
+
+    // create the finite volume grid geometry
+    using BulkFVGridGeometry = typename GET_PROP_TYPE(BulkTypeTag, FVGridGeometry);
+    auto bulkFvGridGeometry = std::make_shared<BulkFVGridGeometry>(bulkGridView);
+    bulkFvGridGeometry->update();
+    using LowDimFVGridGeometry = typename GET_PROP_TYPE(LowDimTypeTag, FVGridGeometry);
+    auto lowDimFvGridGeometry = std::make_shared<LowDimFVGridGeometry>(lowDimGridView);
+    lowDimFvGridGeometry->update();
+
+    // the mixed dimension type traits
+    using Traits = MultiDomainTraits<BulkTypeTag, LowDimTypeTag>;
+    constexpr auto bulkIdx = Traits::template DomainIdx<0>();
+    constexpr auto lowDimIdx = Traits::template DomainIdx<1>();
+
+    // the coupling manager
+    using CouplingManager = typename GET_PROP_TYPE(BulkTypeTag, CouplingManager);
+    auto couplingManager = std::make_shared<CouplingManager>(bulkFvGridGeometry, lowDimFvGridGeometry);
+
+    // the problem (initial and boundary conditions)
+    using BulkProblem = typename GET_PROP_TYPE(BulkTypeTag, Problem);
+    auto bulkProblem = std::make_shared<BulkProblem>(bulkFvGridGeometry, couplingManager);
+    using LowDimProblem = typename GET_PROP_TYPE(LowDimTypeTag, Problem);
+    auto lowDimProblem = std::make_shared<LowDimProblem>(lowDimFvGridGeometry, couplingManager);
+
+    // the solution vector
+    Traits::SolutionVector sol;
+    sol[bulkIdx].resize(bulkFvGridGeometry->numDofs());
+    sol[lowDimIdx].resize(lowDimFvGridGeometry->numDofs());
+    bulkProblem->applyInitialSolution(sol[bulkIdx]);
+    lowDimProblem->applyInitialSolution(sol[lowDimIdx]);
+    auto oldSol = sol;
+
+    couplingManager->init(bulkProblem, lowDimProblem, sol);
+    bulkProblem->computePointSourceMap();
+    lowDimProblem->computePointSourceMap();
+
+    // the grid variables
+    using BulkGridVariables = typename GET_PROP_TYPE(BulkTypeTag, GridVariables);
+    auto bulkGridVariables = std::make_shared<BulkGridVariables>(bulkProblem, bulkFvGridGeometry);
+    bulkGridVariables->init(sol[bulkIdx], oldSol[bulkIdx]);
+    using LowDimGridVariables = typename GET_PROP_TYPE(LowDimTypeTag, GridVariables);
+    auto lowDimGridVariables = std::make_shared<LowDimGridVariables>(lowDimProblem, lowDimFvGridGeometry);
+    lowDimGridVariables->init(sol[lowDimIdx], oldSol[lowDimIdx]);
+
+    // intialize the vtk output module
+    VtkOutputModule<BulkTypeTag> bulkVtkWriter(*bulkProblem, *bulkFvGridGeometry, *bulkGridVariables, sol[bulkIdx], bulkProblem->name());
+    GET_PROP_TYPE(BulkTypeTag, VtkOutputFields)::init(bulkVtkWriter);
+    bulkProblem->addVtkOutputFields(bulkVtkWriter);
+    bulkVtkWriter.write(0.0);
+
+    VtkOutputModule<LowDimTypeTag> lowDimVtkWriter(*lowDimProblem, *lowDimFvGridGeometry, *lowDimGridVariables, sol[lowDimIdx], lowDimProblem->name());
+    GET_PROP_TYPE(LowDimTypeTag, VtkOutputFields)::init(lowDimVtkWriter);
+    lowDimProblem->addVtkOutputFields(lowDimVtkWriter);
+    lowDimVtkWriter.write(0.0);
+
+    // an output file for the L2-norm
+    std::ofstream outFile_;
+
+    // compute hmax of both domains
+    double hMaxBulk = 0.0;
+    for (const auto& element : elements(bulkGridView))
+        hMaxBulk = std::max(hMaxBulk, diameter(element.geometry()));
+
+    double hMaxLowDim = 0.0;
+    for (const auto& element : elements(lowDimGridView))
+        hMaxLowDim = std::max(hMaxLowDim, diameter(element.geometry()));
+
+    // the assembler with time loop for instationary problem
+    using Assembler = MultiDomainFVAssembler<Traits, CouplingManager, DiffMethod::numeric>;
+    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 = BlockDiagILU0BiCGSTABSolver;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    Dune::Timer assembleTimer(false), solveTimer(false), updateTimer(false);
+    std::cout << "\nAssembling linear system... " << std::flush;
+
+    // assemble stiffness matrix
+    assembleTimer.start();
+    couplingManager->updateSolution(sol);
+    assembler->assembleJacobianAndResidual(sol);
+    assembleTimer.stop();
+
+    std::cout << "done.\n";
+    std::cout << "Solving linear system ("
+              << linearSolver->name() << ") ... " << std::flush;
+
+    // solve linear system
+    solveTimer.start();
+    auto deltaSol = sol;
+    const bool converged = linearSolver->template solve<2>(assembler->jacobian(), deltaSol, assembler->residual());
+    if (!converged) DUNE_THROW(Dune::MathError, "Linear solver did not converge!");
+    solveTimer.stop();
+
+    // update variables
+    updateTimer.start();
+    sol -= deltaSol;
+    couplingManager->updateSolution(sol);
+    assembler->updateGridVariables(sol);
+    updateTimer.stop();
+
+    std::cout << "done.\n";
+    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 << "%)"
+              << "\n";
+
+    // output the source terms
+    bulkProblem->computeSourceIntegral(sol[bulkIdx], *bulkGridVariables);
+    lowDimProblem->computeSourceIntegral(sol[lowDimIdx], *lowDimGridVariables);
+
+    // write vtk output
+    bulkVtkWriter.write(1.0);
+    lowDimVtkWriter.write(1.0);
+
+    // write the L2-norm to file
+    static const int order = getParam<int>("Problem.NormIntegrationOrder");
+    auto norm1D = L2Norm<double>::computeErrorNorm(*lowDimProblem, sol[lowDimIdx], order);
+    norm1D /= L2Norm<double>::computeNormalization(*lowDimProblem, order);
+    auto norm3D = L2Norm<double>::computeErrorNorm(*bulkProblem, sol[bulkIdx], order);
+    norm3D /= L2Norm<double>::computeNormalization(*bulkProblem, order);
+
+    // ouput result to terminal
+    std::cout << "-----------------------------------------------------\n";
+    std::cout << " L2_1d: " << norm1D << " hmax_1d: " << hMaxLowDim << '\n'
+              << " L2_3d: " << norm3D << " hmax_3d: " << hMaxBulk << '\n';
+    std::cout << "-----------------------------------------------------" << std::endl;
+
+    // ... and file.
+    outFile_.open("1p_1p_norm.log", std::ios::app);
+    outFile_ << hMaxBulk << " " << hMaxLowDim << " " << norm3D << " " << norm1D << '\n';
+    outFile_.close();
+
+    ////////////////////////////////////////////////////////////
+    // 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/multidomain/embedded/1d3d/1p_1p/test_1p_1p.input b/test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.input
new file mode 100644
index 0000000000..05f4890bf2
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/test_1p_1p.input
@@ -0,0 +1,39 @@
+[MixedDimension]
+NumCircleSegments = 100
+IntegrationOrder = 2
+KernelWidth = 0.3
+
+[Vessel.Grid]
+LowerLeft = 0 0 0
+UpperRight = 0 0 1
+Cells = 20
+
+[Tissue.Grid]
+LowerLeft = -1 -1 0
+UpperRight = 1 1 1
+Cells = 20 20 20
+
+[Problem]
+Name = test_1p1p_embedded
+NormIntegrationOrder = 2
+NormExcludeInnerBulk = true
+EnableGravity = false
+
+[Component]
+LiquidKinematicViscosity = 1 # [m^2/s]
+LiquidDensity = 1 # [kg/m^3]
+
+[SpatialParams]
+PermeabilityTissue = 1 # [m^2]
+Radius = 0.3 # [m]
+
+[BoundaryConditions1D]
+PressureInput = 2.0
+DeltaPressure = 1.0
+
+[LinearSolver]
+ResidualReduction = 1e-25
+
+[Assembly.NumericDifference]
+PriVarMagnitude = 1e5
+BaseEpsilon = 1e5
diff --git a/test/multidomain/embedded/1d3d/1p_1p/tissueproblem.hh b/test/multidomain/embedded/1d3d/1p_1p/tissueproblem.hh
new file mode 100644
index 0000000000..c33f7250d3
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/tissueproblem.hh
@@ -0,0 +1,432 @@
+// -*- 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 Definition of a problem, for the 1p2c problem:
+ * Component transport of oxygen in interstitial fluid.
+ */
+#ifndef DUMUX_TISSUE_PROBLEM_HH
+#define DUMUX_TISSUE_PROBLEM_HH
+
+#include <dune/grid/yaspgrid.hh>
+
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/localfunctions/lagrange/pqkfactory.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/properties.hh>
+#include <dumux/discretization/box/properties.hh>
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+
+#include <dumux/porousmediumflow/1p/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+#include <dumux/porousmediumflow/1p/incompressiblelocalresidual.hh>
+
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+
+#include "tissuespatialparams.hh"
+
+namespace Dumux {
+
+template <class TypeTag>
+class TissueProblem;
+
+namespace Properties {
+
+NEW_TYPE_TAG(TissueTypeTag, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(TissueCCTypeTag, INHERITS_FROM(CCTpfaModel, TissueTypeTag));
+NEW_TYPE_TAG(TissueBoxTypeTag, INHERITS_FROM(BoxModel, TissueTypeTag));
+
+// Set the grid type
+SET_TYPE_PROP(TissueTypeTag, Grid, Dune::YaspGrid<3, Dune::EquidistantOffsetCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 3> >);
+
+SET_BOOL_PROP(TissueTypeTag, EnableFVGridGeometryCache, true);
+SET_BOOL_PROP(TissueTypeTag, EnableGridVolumeVariablesCache, true);
+SET_BOOL_PROP(TissueTypeTag, EnableGridFluxVariablesCache, true);
+SET_BOOL_PROP(TissueTypeTag, SolutionDependentAdvection, false);
+SET_BOOL_PROP(TissueTypeTag, SolutionDependentMolecularDiffusion, false);
+SET_BOOL_PROP(TissueTypeTag, SolutionDependentHeatConduction, false);
+
+// Set the problem property
+SET_TYPE_PROP(TissueTypeTag, Problem, TissueProblem<TypeTag>);
+
+// Set the problem property
+SET_TYPE_PROP(TissueTypeTag, LocalResidual, OnePIncompressibleLocalResidual<TypeTag>);
+
+// the fluid system
+SET_PROP(TissueTypeTag, FluidSystem)
+{
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
+};
+
+// Set the spatial parameters
+SET_TYPE_PROP(TissueTypeTag, SpatialParams,
+              TissueSpatialParams<typename GET_PROP_TYPE(TypeTag, FVGridGeometry),
+                                  typename GET_PROP_TYPE(TypeTag, Scalar)>);
+} // end namespace Properties
+
+
+/*!
+ * \ingroup OnePTests
+ */
+template <class TypeTag>
+class TissueProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolume = typename FVGridGeometry::SubControlVolume;
+    using GridView = typename FVGridGeometry::GridView;
+    using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using NumEqVector = typename GET_PROP_TYPE(TypeTag, NumEqVector);
+    using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+    using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
+    using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+    using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename FVGridGeometry::GlobalCoordinate;
+
+    using CouplingManager = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+
+public:
+    TissueProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                  std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry)
+    , couplingManager_(couplingManager)
+    {
+        //read parameters from input file
+        name_ = getParam<std::string>("Problem.Name") + "_3d";
+
+        exactPressure_.resize(this->fvGridGeometry().numDofs());
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            auto fvGeometry = localView(this->fvGridGeometry());
+            fvGeometry.bindElement(element);
+
+            for (auto&& scv : scvs(fvGeometry))
+                exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+        }
+    }
+
+    /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    /*!
+     * \brief The problem name.
+     *
+     * This is used as a prefix for files generated by the simulation.
+     */
+    const std::string& name() const
+    { return name_; }
+
+    /*!
+     * \brief Returns the temperature within the domain [K].
+     *
+     * This problem assumes a temperature of 37 degrees Celsius.
+     */
+    Scalar temperature() const
+    { return 273.15 + 37; } // in [K]
+
+    // \}
+
+    /*!
+     * \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;
+        values.setAllDirichlet();
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a dirichlet
+     *        boundary segment.
+     *
+     * \param globalPos The position for which the bc type should be evaluated
+     *
+     * For this method, the \a values parameter stores primary variables.
+     */
+    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values;
+        values = exactSolution(globalPos);
+        return values;
+    }
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+
+    /*!
+     * \brief Applies a vector of point sources. The point sources
+     *        are possibly solution dependent.
+     *
+     * \param pointSources A vector of Dumux::PointSource s that contain
+              source values for all phases and space positions.
+     *
+     * For this method, the \a values method of the point source
+     * has to return the absolute mass rate in kg/s. Positive values mean
+     * that mass is created, negative ones mean that it vanishes.
+     */
+    void addPointSources(std::vector<PointSource>& pointSources) const
+    { pointSources = this->couplingManager().bulkPointSources(); }
+
+    /*!
+     * \brief Evaluate the point sources (added by addPointSources)
+     *        for all phases within a given sub-control-volume.
+     *
+     * This is the method for the case where the point source is
+     * solution dependent and requires some quantities that
+     * are specific to the fully-implicit method.
+     *
+     * \param pointSource A single point source
+     * \param element The finite element
+     * \param fvGeometry The finite-volume geometry
+     * \param elemVolVars All volume variables for the element
+     * \param scv The sub-control volume within the element
+     *
+     * For this method, the \a values() method of the point sources returns
+     * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+     * that mass is created, negative ones mean that it vanishes.
+     */
+    template<class ElementVolumeVariables>
+    void pointSource(PointSource& source,
+                     const Element &element,
+                     const FVElementGeometry& fvGeometry,
+                     const ElementVolumeVariables& elemVolVars,
+                     const SubControlVolume &scv) const
+    {
+        // compute source at every integration point
+        const Scalar pressure3D = this->couplingManager().bulkPriVars(source.id())[Indices::pressureIdx];
+        const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[Indices::pressureIdx];
+
+        // calculate the source
+        const Scalar radius = this->couplingManager().radius(source.id());
+        const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+        const Scalar sourceValue = beta*(pressure1D - pressure3D);
+        source = sourceValue*source.quadratureWeight()*source.integrationElement();
+    }
+
+    /*!
+     * \brief Evaluate the source term for all phases within a given
+     *        sub-control-volume.
+     *
+     * This is the method for the case where the source term is
+     * potentially solution dependent and requires some quantities that
+     * are specific to the fully-implicit method.
+     *
+     * \param element The finite element
+     * \param fvGeometry The finite-volume geometry
+     * \param elemVolVars All volume variables for the element
+     * \param scv The sub control volume
+     *
+     * For this method, the return parameter stores the conserved quantity rate
+     * generated or annihilate per volume unit. Positive values mean
+     * that the conserved quantity is created, negative ones mean that it vanishes.
+     * E.g. for the mass balance that would be a mass rate in \f$ [ kg / (m^3 \cdot s)] \f$.
+     */
+    template<class ElementVolumeVariables,
+             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
+             std::enable_if_t<enable, int> = 0>
+    NumEqVector source(const Element &element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume &scv) const
+    {
+        static const Scalar kernelWidth = getParam<Scalar>("MixedDimension.KernelWidth");
+        static const Scalar kernelFactor = std::log(kernelWidth)-9.0/10.0;
+
+        NumEqVector source(0.0);
+
+        const auto eIdx = this->fvGridGeometry().elementMapper().index(element);
+        const auto& sourceIds = this->couplingManager().bulkSourceIds(eIdx);
+        const auto& sourceWeights = this->couplingManager().bulkSourceWeights(eIdx);
+
+        for (int i = 0; i < sourceIds.size(); ++i)
+        {
+            const auto id = sourceIds[i];
+            const auto weight = sourceWeights[i];
+
+            const Scalar radius = this->couplingManager().radius(id);
+            const Scalar pressure3D = this->couplingManager().bulkPriVars(id)[Indices::pressureIdx];
+            const Scalar pressure1D = this->couplingManager().lowDimPriVars(id)[Indices::pressureIdx];
+
+            // calculate the source
+            const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+            const Scalar sourceValue = beta*(pressure1D - pressure3D / kernelFactor * std::log(radius));
+
+            source[Indices::conti0EqIdx] += sourceValue*weight;
+        }
+
+        const auto volume = scv.volume()*elemVolVars[scv].extrusionFactor();
+        source[Indices::conti0EqIdx] /= volume;
+
+        return source;
+    }
+
+    //! other methods
+    template<class ElementVolumeVariables,
+             bool enable = (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel),
+             std::enable_if_t<!enable, int> = 0>
+    NumEqVector source(const Element &element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume &scv) const
+    { return NumEqVector(0.0); }
+
+    //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+    //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+    template<class MatrixBlock, class VolumeVariables>
+    void addSourceDerivatives(MatrixBlock& block,
+                              const Element& element,
+                              const FVElementGeometry& fvGeometry,
+                              const VolumeVariables& curElemVolVars,
+                              const SubControlVolume& scv) const
+    {
+        const auto eIdx = this->fvGridGeometry().elementMapper().index(element);
+
+        auto key = std::make_pair(eIdx, 0);
+        if (this->pointSourceMap().count(key))
+        {
+            // call the solDependent function. Herein the user might fill/add values to the point sources
+            // we make a copy of the local point sources here
+            auto pointSources = this->pointSourceMap().at(key);
+
+            // add the point source values to the local residual (negative sign is convention for source term)
+            for (const auto& source : pointSources)
+                block[0][0] -= this->couplingManager().pointSourceDerivative(source, Dune::index_constant<0>{}, Dune::index_constant<0>{});
+        }
+    }
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * \param values The initial values for the primary variables
+     * \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
+    { return PrimaryVariables(0.0); }
+
+    //! The exact solution
+    Scalar exactSolution(const GlobalPosition &globalPos) const
+    {
+        Dune::FieldVector<double, 2> xy({globalPos[0], globalPos[1]});
+        if (CouplingManager::couplingMode == EmbeddedCouplingMode::cylindersources)
+        {
+            static const auto R = getParam<Scalar>("SpatialParams.Radius");
+            if (xy.two_norm() > R)
+                return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+            else
+               return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(R);
+
+        }
+        else if (CouplingManager::couplingMode == EmbeddedCouplingMode::kernel)
+        {
+            static const auto rho = getParam<Scalar>("MixedDimension.KernelWidth");
+            const auto& r = xy.two_norm();
+            if (xy.two_norm() >= rho)
+                return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+            else
+                return -1.0*(1+globalPos[2])/(2*M_PI)*(11.0/15.0*std::pow(r/rho, 5)
+                                                       - 3.0/2.0*std::pow(r/rho, 4)
+                                                       + 5.0/3.0*std::pow(r/rho, 2)
+                                                       - 9.0/10.0 + std::log(rho));
+        }
+        else
+            return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+    }
+
+    //! Called after every time step
+    //! Output the total global exchange term
+    void computeSourceIntegral(const SolutionVector& sol, const GridVariables& gridVars)
+    {
+        PrimaryVariables source(0.0);
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            auto fvGeometry = localView(this->fvGridGeometry());
+            fvGeometry.bindElement(element);
+
+            auto elemVolVars = localView(gridVars.curGridVolVars());
+            elemVolVars.bindElement(element, fvGeometry, sol);
+
+            for (auto&& scv : scvs(fvGeometry))
+            {
+                auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+                pointSources += this->source(element, fvGeometry, elemVolVars, scv);
+                pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+                source += pointSources;
+            }
+        }
+
+        std::cout << "Global integrated source (3D): " << source << '\n';
+    }
+
+    /*!
+     * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+     */
+    template<class VtkOutputModule>
+    void addVtkOutputFields(VtkOutputModule& vtk) const
+    {
+        vtk.addField(exactPressure_, "exact pressure");
+    }
+
+    //! Set the coupling manager
+    void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+    { couplingManager_ = cm; }
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+private:
+    std::vector<Scalar> exactPressure_;
+
+    static constexpr Scalar eps_ = 1.5e-7;
+    std::string name_;
+
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/multidomain/embedded/1d3d/1p_1p/tissuespatialparams.hh b/test/multidomain/embedded/1d3d/1p_1p/tissuespatialparams.hh
new file mode 100644
index 0000000000..b5b2080e1c
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/1p_1p/tissuespatialparams.hh
@@ -0,0 +1,92 @@
+// -*- 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 OneTests
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+#ifndef DUMUX_TISSUE_SPATIAL_PARAMS_HH
+#define DUMUX_TISSUE_SPATIAL_PARAMS_HH
+
+#include <dumux/material/spatialparams/fv1p.hh>
+
+namespace Dumux {
+
+/*!
+ * \ingroup OnePTests
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+template<class FVGridGeometry, class Scalar>
+class TissueSpatialParams
+: public FVSpatialParamsOneP<FVGridGeometry, Scalar, TissueSpatialParams<FVGridGeometry, Scalar>>
+{
+    using ThisType = TissueSpatialParams<FVGridGeometry, Scalar>;
+    using ParentType = FVSpatialParamsOneP<FVGridGeometry, Scalar, ThisType>;
+    using GridView = typename FVGridGeometry::GridView;
+    using Element = typename GridView::template Codim<0>::Entity;
+    using SubControlVolume = typename FVGridGeometry::SubControlVolume;
+public:
+    // export permeability type
+    using PermeabilityType = Scalar;
+
+    TissueSpatialParams(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+    : ParentType(fvGridGeometry)
+    {
+        permeability_ = getParam<Scalar>("SpatialParams.PermeabilityTissue");
+        porosity_ = 1.0;
+    }
+
+    /*!
+     * \brief Define the intrinsic permeability \f$\mathrm{[m^2]}\f$.
+     *
+     * \param element The element
+     * \param scv The sub control volume
+     * \param elemSol the element solution vector
+     */
+    template<class ElementSolution>
+    PermeabilityType permeability(const Element& element,
+                                  const SubControlVolume& scv,
+                                  const ElementSolution& elemSol) const
+    {
+        return permeability_;
+    }
+
+    /*!
+     * \brief Define the porosity \f$\mathrm{[-]}\f$.
+     *
+     * \param element The current finite element
+     * \param scv The sub control volume
+     * \param elemSol The current element solution vector
+     */
+    template<class ElementSolution>
+    Scalar porosity(const Element& element,
+                    const SubControlVolume& scv,
+                    const ElementSolution& elemSol) const
+    {
+        return porosity_;
+    }
+
+private:
+    Scalar permeability_;
+    Scalar porosity_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/multidomain/embedded/1d3d/CMakeLists.txt b/test/multidomain/embedded/1d3d/CMakeLists.txt
new file mode 100644
index 0000000000..f62f49df14
--- /dev/null
+++ b/test/multidomain/embedded/1d3d/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory(1p_1p)
diff --git a/test/multidomain/embedded/CMakeLists.txt b/test/multidomain/embedded/CMakeLists.txt
new file mode 100644
index 0000000000..53479d4385
--- /dev/null
+++ b/test/multidomain/embedded/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory(1d3d)
diff --git a/test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp b/test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp
new file mode 100644
index 0000000000..ab3dc159f6
--- /dev/null
+++ b/test/references/test_embedded_1d3d_1p1p_boxbox_average_1d.vtp
@@ -0,0 +1,45 @@
+<?xml version="1.0"?>
+<VTKFile type="PolyData" version="0.1" byte_order="LittleEndian">
+  <PolyData>
+    <Piece NumberOfLines="20" NumberOfPoints="21">
+      <PointData Scalars="pressure">
+        <DataArray type="Float32" Name="pressure" NumberOfComponents="1" format="ascii">
+          1 1.05001 1.10002 1.15003 1.20004 1.25005 1.30005 1.35005 1.40006 1.45006 1.50006 1.55005
+          1.60005 1.65005 1.70005 1.75004 1.80003 1.85003 1.90002 1.95001 2
+        </DataArray>
+        <DataArray type="Float32" Name="exact pressure" NumberOfComponents="1" format="ascii">
+          1 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45 1.5 1.55
+          1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2
+        </DataArray>
+      </PointData>
+      <CellData Scalars="process rank">
+        <DataArray type="Float32" Name="process rank" NumberOfComponents="1" format="ascii">
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0
+        </DataArray>
+      </CellData>
+      <Points>
+        <DataArray type="Float32" Name="Coordinates" NumberOfComponents="3" format="ascii">
+          0 0 0 0 0 0.05 0 0 0.1 0 0 0.15
+          0 0 0.2 0 0 0.25 0 0 0.3 0 0 0.35
+          0 0 0.4 0 0 0.45 0 0 0.5 0 0 0.55
+          0 0 0.6 0 0 0.65 0 0 0.7 0 0 0.75
+          0 0 0.8 0 0 0.85 0 0 0.9 0 0 0.95
+          0 0 1
+        </DataArray>
+      </Points>
+      <Lines>
+        <DataArray type="Int32" Name="connectivity" NumberOfComponents="1" format="ascii">
+          0 1 1 2 2 3 3 4 4 5 5 6
+          6 7 7 8 8 9 9 10 10 11 11 12
+          12 13 13 14 14 15 15 16 16 17 17 18
+          18 19 19 20
+        </DataArray>
+        <DataArray type="Int32" Name="offsets" NumberOfComponents="1" format="ascii">
+          2 4 6 8 10 12 14 16 18 20 22 24
+          26 28 30 32 34 36 38 40
+        </DataArray>
+      </Lines>
+    </Piece>
+  </PolyData>
+</VTKFile>
diff --git a/test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu b/test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu
new file mode 100644
index 0000000000..b538dd3090
--- /dev/null
+++ b/test/references/test_embedded_1d3d_1p1p_boxbox_average_3d.vtu
@@ -0,0 +1,9652 @@
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+      </Cells>
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+  </UnstructuredGrid>
+</VTKFile>
diff --git a/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp b/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp
new file mode 100644
index 0000000000..bd27b18e1d
--- /dev/null
+++ b/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_1d.vtp
@@ -0,0 +1,43 @@
+<?xml version="1.0"?>
+<VTKFile type="PolyData" version="0.1" byte_order="LittleEndian">
+  <PolyData>
+    <Piece NumberOfLines="20" NumberOfPoints="21">
+      <CellData Scalars="pressure">
+        <DataArray type="Float32" Name="pressure" NumberOfComponents="1" format="ascii">
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+          1.62637 1.67626 1.72613 1.77598 1.8258 1.8756 1.92538 1.97513
+        </DataArray>
+        <DataArray type="Float32" Name="process rank" NumberOfComponents="1" format="ascii">
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0
+        </DataArray>
+        <DataArray type="Float32" Name="exact pressure" NumberOfComponents="1" format="ascii">
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+          1.625 1.675 1.725 1.775 1.825 1.875 1.925 1.975
+        </DataArray>
+      </CellData>
+      <Points>
+        <DataArray type="Float32" Name="Coordinates" NumberOfComponents="3" format="ascii">
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+          0 0 1
+        </DataArray>
+      </Points>
+      <Lines>
+        <DataArray type="Int32" Name="connectivity" NumberOfComponents="1" format="ascii">
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+        </DataArray>
+        <DataArray type="Int32" Name="offsets" NumberOfComponents="1" format="ascii">
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+          26 28 30 32 34 36 38 40
+        </DataArray>
+      </Lines>
+    </Piece>
+  </PolyData>
+</VTKFile>
diff --git a/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu b/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu
new file mode 100644
index 0000000000..0bdbb63c7d
--- /dev/null
+++ b/test/references/test_embedded_1d3d_1p1p_tpfatpfa_average_3d.vtu
@@ -0,0 +1,11012 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
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-- 
GitLab