diff --git a/dumux/discretization/cellcentered/tpfa/maxwellstefanslaw.hh b/dumux/discretization/cellcentered/tpfa/maxwellstefanslaw.hh
index 28456638df3944ae870c9f1bac86064afd95ef33..6c8f8e23f921abf76840ba215165d2224243a29a 100644
--- a/dumux/discretization/cellcentered/tpfa/maxwellstefanslaw.hh
+++ b/dumux/discretization/cellcentered/tpfa/maxwellstefanslaw.hh
@@ -131,7 +131,7 @@ public:
             {
                 moleFracOutside -= moleFracInside;
                 reducedDiffusionMatrixInside.solve(reducedFlux, moleFracOutside);
-                reducedFlux *= omegai;
+                reducedFlux *= omegai*rhoInside;
             }
             else //we need outside cells as well if we are not on the boundary
             {
@@ -153,8 +153,8 @@ public:
 
                 reducedDiffusionMatrixInside.invert();
                 reducedDiffusionMatrixOutside.invert();
-                reducedDiffusionMatrixInside *= omegai;
-                reducedDiffusionMatrixOutside *= omegaj;
+                reducedDiffusionMatrixInside *= omegai*rhoInside;
+                reducedDiffusionMatrixOutside *= omegaj*rhoOutside;
 
                 //in the helpervector we store the values for x*
                 ReducedComponentVector helperVector(0.0);
@@ -176,7 +176,7 @@ public:
                 reducedDiffusionMatrixInside.mv(helperVector, reducedFlux);
             }
 
-            reducedFlux *= -0.5*(rhoInside+rhoOutside)*scvf.area();
+            reducedFlux *= -scvf.area();
             for (int compIdx = 0; compIdx < numComponents-1; compIdx++)
             {
                 componentFlux[compIdx] = reducedFlux[compIdx];
diff --git a/dumux/discretization/staggered/freeflow/maxwellstefanslaw.hh b/dumux/discretization/staggered/freeflow/maxwellstefanslaw.hh
index 593b701437038935d45de980f2299e16253cb7be..0b90ca868285a8762e2fb0819ece82570a021aee 100644
--- a/dumux/discretization/staggered/freeflow/maxwellstefanslaw.hh
+++ b/dumux/discretization/staggered/freeflow/maxwellstefanslaw.hh
@@ -73,7 +73,6 @@ class MaxwellStefansLawImplementation<TypeTag, DiscretizationMethod::staggered >
     static_assert(ModelTraits::numPhases() == 1, "Only one phase allowed supported!");
 
     enum {
-        pressureIdx = Indices::pressureIdx,
         conti0EqIdx = Indices::conti0EqIdx,
     };
 
@@ -105,7 +104,24 @@ public:
         const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
         const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
         const auto rhoInside = insideVolVars.molarDensity();
-        const auto rhoOutside = scvf.boundary() ? insideVolVars.molarDensity() : outsideVolVars.molarDensity();
+        const auto rhoOutside = outsideVolVars.molarDensity();
+
+        //to implement outflow boundaries correctly we need to loop over all components but the main component as only for the transported ones we implement the outflow boundary. diffusion then is 0.
+        for(int compIdx = 0; compIdx < numComponents; ++compIdx)
+        {
+            if(compIdx == FluidSystem::getMainComponent(0))
+                continue;
+
+            // get equation index
+            const auto eqIdx = conti0EqIdx + compIdx;
+            if(scvf.boundary())
+            {
+               const auto bcTypes = problem.boundaryTypes(element, scvf);
+                 if((bcTypes.isOutflow(eqIdx)) || (bcTypes.isSymmetry()))
+                    return componentFlux;
+            }
+        }
+
         //calculate the mole fraction vectors
         for (int compIdx = 0; compIdx < numComponents-1; compIdx++)
         {
@@ -116,16 +132,6 @@ public:
 
             moleFracInside[compIdx] = xInside;
             moleFracOutside[compIdx] = xOutside;
-
-            // get equation index
-            const auto eqIdx = conti0EqIdx + compIdx;
-
-            if(scvf.boundary())
-            {
-               const auto bcTypes = problem.boundaryTypes(element, scvf);
-                 if(bcTypes.isOutflow(eqIdx) && eqIdx != pressureIdx)
-                    return componentFlux;
-            }
         }
 
         //now we have to do the tpfa: J_i = J_j which leads to: tij(xi -xj) = -rho Bi^-1 omegai(x*-xi) with x* = (omegai Bi^-1 + omegaj Bj^-1)^-1 (xi omegai Bi^-1 + xj omegaj Bj^-1) with i inside and j outside
@@ -138,28 +144,26 @@ public:
         const auto outsideScvIdx = scvf.outsideScvIdx();
         const auto& outsideScv = fvGeometry.scv(outsideScvIdx);
 
-        const Scalar omegai = calculateOmega_(scvf,
-                                                insideScv,
-                                                1);
+        const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
+
+        const Scalar omegai = calculateOmega_(insideDistance, insideVolVars.extrusionFactor());
 
         //if on boundary
         if (scvf.boundary())
         {
             moleFracOutside -= moleFracInside;
             reducedDiffusionMatrixInside.solve(reducedFlux, moleFracOutside);
-            reducedFlux *= omegai;
+            reducedFlux *= omegai*rhoInside;
         }
         else
         {
-            Scalar omegaj;
-            omegaj = -1.0*calculateOmega_(scvf,
-                                          outsideScv,
-                                          1);
+            const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
+            const Scalar omegaj = calculateOmega_(outsideDistance, outsideVolVars.extrusionFactor());
 
             reducedDiffusionMatrixInside.invert();
             reducedDiffusionMatrixOutside.invert();
-            reducedDiffusionMatrixInside *= omegai;
-            reducedDiffusionMatrixOutside *= omegaj;
+            reducedDiffusionMatrixInside *= omegai*rhoInside;
+            reducedDiffusionMatrixOutside *= omegaj*rhoOutside;
 
             //in the helpervector we store the values for x*
             ReducedComponentVector helperVector(0.0);
@@ -181,7 +185,7 @@ public:
             reducedDiffusionMatrixInside.mv(helperVector, reducedFlux);
         }
 
-        reducedFlux *= -0.5*(rhoInside+rhoOutside)*scvf.area();
+        reducedFlux *= -scvf.area();
 
         for (int compIdx = 0; compIdx < numComponents-1; compIdx++)
         {
@@ -193,15 +197,10 @@ public:
     }
 
 private:
-   static Scalar calculateOmega_(const SubControlVolumeFace& scvf,
-                                 const SubControlVolume &scv,
-                                 const Scalar extrusionFactor)
+    static Scalar calculateOmega_(const Scalar distance,
+                                  const Scalar extrusionFactor)
     {
-        auto distanceVector = scvf.ipGlobal();
-        distanceVector -= scv.center();
-        distanceVector /= distanceVector.two_norm2();
-
-        Scalar omega = (distanceVector * scvf.unitOuterNormal());
+        Scalar omega = 1/distance;
         omega *= extrusionFactor;
 
         return omega;
diff --git a/dumux/material/fluidsystems/brine.hh b/dumux/material/fluidsystems/brine.hh
index 67685a187ebcdaa5cbda4d6bd7c4c8b2d739c3db..77d3d3adb7784e4e8adc6eb61a6198a9f546e8cf 100644
--- a/dumux/material/fluidsystems/brine.hh
+++ b/dumux/material/fluidsystems/brine.hh
@@ -423,6 +423,11 @@ public:
     {
         if (phaseIdx == liquidPhaseIdx)
         {
+            if (compIIdx > compJIdx)
+            {
+                using std::swap;
+                swap(compIIdx, compJIdx);
+            }
             //! \todo TODO implement binary coefficients
             // http://webserver.dmt.upm.es/~isidoro/dat1/Mass%20diffusivity%20data.htm
             // The link above was given as a reference in brine_air fluid system.
diff --git a/dumux/multidomain/boundary/stokesdarcy/couplingdata.hh b/dumux/multidomain/boundary/stokesdarcy/couplingdata.hh
index 2f4c3997c0b9524abc161c6d48a3b8469f1f0663..7f1df26991dd9eafd57d89c6bf2558b402d5b61e 100644
--- a/dumux/multidomain/boundary/stokesdarcy/couplingdata.hh
+++ b/dumux/multidomain/boundary/stokesdarcy/couplingdata.hh
@@ -35,7 +35,6 @@
 
 namespace Dumux {
 
-
 /*!
  * \ingroup MultiDomain
  * \ingroup BoundaryCoupling
@@ -103,6 +102,30 @@ struct IsSameFluidSystem<FS, FS>
     static constexpr bool value = std::is_same<FS, FS>::value; // always true
 };
 
+// forward declaration
+template <class TypeTag, DiscretizationMethod discMethod>
+class FicksLawImplementation;
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup BoundaryCoupling
+ * \ingroup StokesDarcyCoupling
+ * \brief This structs indicates that Fick's law is not used for diffusion.
+ * \tparam DiffLaw The diffusion law.
+ */
+template<class DiffLaw>
+struct IsFicksLaw : public std::false_type {};
+
+/*!
+ * \ingroup MultiDomain
+ * \ingroup BoundaryCoupling
+ * \ingroup StokesDarcyCoupling
+ * \brief This structs indicates that Fick's law is used for diffusion.
+ * \tparam DiffLaw The diffusion law.
+ */
+template<class T, DiscretizationMethod discMethod>
+struct IsFicksLaw<FicksLawImplementation<T, discMethod>> : public std::true_type {};
+
 /*!
  * \ingroup MultiDomain
  * \ingroup BoundaryCoupling
@@ -357,6 +380,7 @@ protected:
             return domainI == stokesIdx
                             ? avgQuantityI / totalDistance
                             : avgQuantityJ / totalDistance;
+
         else // diffCoeffAvgType == DiffusionCoefficientAveragingType::pmOnly)
             return domainI == darcyIdx
                             ? avgQuantityI / totalDistance
@@ -632,6 +656,13 @@ class StokesDarcyCouplingDataImplementation<MDTraits, CouplingManager, enableEne
 
     using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
 
+    static constexpr bool isFicksLaw = IsFicksLaw<typename GET_PROP_TYPE(SubDomainTypeTag<stokesIdx>, MolecularDiffusionType)>();
+    static_assert(isFicksLaw == IsFicksLaw<typename GET_PROP_TYPE(SubDomainTypeTag<darcyIdx>, MolecularDiffusionType)>(),
+                  "Both submodels must use the same diffusion law.");
+
+    using ReducedComponentVector = Dune::FieldVector<Scalar, numComponents-1>;
+    using ReducedComponentMatrix = Dune::FieldMatrix<Scalar, numComponents-1, numComponents-1>;
+
 public:
     using ParentType::ParentType;
     using ParentType::couplingPhaseIdx;
@@ -743,6 +774,7 @@ protected:
                           const DiffusionCoefficientAveragingType diffCoeffAvgType) const
     {
         NumEqVector flux(0.0);
+        NumEqVector diffusiveFlux(0.0);
 
         auto moleOrMassFraction = [&](const auto& volVars, int phaseIdx, int compIdx)
         { return useMoles ? volVars.moleFraction(phaseIdx, compIdx) : volVars.massFraction(phaseIdx, compIdx); };
@@ -767,7 +799,11 @@ protected:
 
         // treat the diffusive fluxes
         const auto& insideScv = insideFvGeometry.scv(scvf.insideScvIdx());
-        auto diffusiveFlux = diffusiveMolecularFlux_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars, diffCoeffAvgType);
+
+        if (isFicksLaw)
+            diffusiveFlux += diffusiveMolecularFluxFicksLaw_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars, diffCoeffAvgType);
+        else //maxwell stefan
+            diffusiveFlux += diffusiveMolecularFluxMaxwellStefan_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars);
 
         if(!useMoles)
         {
@@ -777,7 +813,6 @@ protected:
         }
 
         flux += diffusiveFlux;
-
         // convert to total mass/mole balance, if set be user
         if(replaceCompEqIdx < numComponents)
             flux[replaceCompEqIdx] = std::accumulate(flux.begin(), flux.end(), 0.0);
@@ -790,7 +825,7 @@ protected:
      */
     Scalar diffusionCoefficient_(const VolumeVariables<stokesIdx>& volVars, int phaseIdx, int compIdx) const
     {
-        return volVars.effectiveDiffusivity(phaseIdx, compIdx);
+         return volVars.effectiveDiffusivity(phaseIdx, compIdx);
     }
 
     /*!
@@ -804,6 +839,33 @@ protected:
                                                   volVars.diffusionCoefficient(phaseIdx, compIdx));
     }
 
+    /*!
+     * \brief Returns the molecular diffusion coefficient within the free flow domain.
+     */
+    Scalar diffusionCoefficientMS_(const VolumeVariables<stokesIdx>& volVars, int phaseIdx, int compIIdx, int compJIdx) const
+    {
+         return volVars.effectiveDiffusivity(compIIdx, compJIdx);
+    }
+
+    /*!
+     * \brief Returns the effective diffusion coefficient within the porous medium.
+     */
+    Scalar diffusionCoefficientMS_(const VolumeVariables<darcyIdx>& volVars, int phaseIdx, int compIIdx, int compJIdx) const
+    {
+        using EffDiffModel = typename GET_PROP_TYPE(SubDomainTypeTag<darcyIdx>, EffectiveDiffusivityModel);
+        auto fluidState = volVars.fluidState();
+        typename FluidSystem<darcyIdx>::ParameterCache paramCache;
+        paramCache.updateAll(fluidState);
+        auto diffCoeff = FluidSystem<darcyIdx>::binaryDiffusionCoefficient(fluidState,
+                                                                            paramCache,
+                                                                            phaseIdx,
+                                                                            compIIdx,
+                                                                            compJIdx);
+        return EffDiffModel::effectiveDiffusivity(volVars.porosity(),
+                                                  volVars.saturation(phaseIdx),
+                                                  diffCoeff);
+    }
+
     Scalar getComponentEnthalpy(const VolumeVariables<stokesIdx>& volVars, int phaseIdx, int compIdx) const
     {
         return FluidSystem<stokesIdx>::componentEnthalpy(volVars.fluidState(), 0, compIdx);
@@ -818,17 +880,152 @@ protected:
      * \brief Evaluate the diffusive mole/mass flux across the interface.
      */
     template<std::size_t i, std::size_t j>
-    NumEqVector diffusiveMolecularFlux_(Dune::index_constant<i> domainI,
-                                        Dune::index_constant<j> domainJ,
-                                        const SubControlVolumeFace<i>& scvfI,
-                                        const SubControlVolume<i>& scvI,
-                                        const SubControlVolume<j>& scvJ,
-                                        const VolumeVariables<i>& volVarsI,
-                                        const VolumeVariables<j>& volVarsJ,
-                                        const DiffusionCoefficientAveragingType diffCoeffAvgType) const
+    NumEqVector diffusiveMolecularFluxMaxwellStefan_(Dune::index_constant<i> domainI,
+                                                     Dune::index_constant<j> domainJ,
+                                                     const SubControlVolumeFace<i>& scvfI,
+                                                     const SubControlVolume<i>& scvI,
+                                                     const SubControlVolume<j>& scvJ,
+                                                     const VolumeVariables<i>& volVarsI,
+                                                     const VolumeVariables<j>& volVarsJ) const
     {
         NumEqVector diffusiveFlux(0.0);
+
+        const Scalar insideDistance = this->getDistance_(scvI, scvfI);
+        const Scalar outsideDistance = this->getDistance_(scvJ, scvfI);
+
+        ReducedComponentVector moleFracInside(0.0);
+        ReducedComponentVector moleFracOutside(0.0);
+        ReducedComponentVector reducedFlux(0.0);
+        ReducedComponentMatrix reducedDiffusionMatrixInside(0.0);
+        ReducedComponentMatrix reducedDiffusionMatrixOutside(0.0);
+
+        //calculate the mole fraction vectors
+        for (int compIdx = 0; compIdx < numComponents-1; compIdx++)
+        {
+            const int domainICompIdx = couplingCompIdx(domainI, compIdx);
+            const int domainJCompIdx = couplingCompIdx(domainJ, compIdx);
+
+            assert(FluidSystem<i>::componentName(domainICompIdx) == FluidSystem<j>::componentName(domainJCompIdx));
+
+            //calculate x_inside
+            const auto xInside = volVarsI.moleFraction(couplingPhaseIdx(domainI), domainICompIdx);
+            //calculate outside molefraction with the respective transmissibility
+            const auto xOutside = volVarsJ.moleFraction(couplingPhaseIdx(domainJ), domainJCompIdx);
+            moleFracInside[domainICompIdx] = xInside;
+            moleFracOutside[domainICompIdx] = xOutside;
+        }
+
+        //now we have to do the tpfa: J_i = -J_j which leads to: J_i = -rho_i Bi^-1 omegai(x*-xi) with x* = (omegai rho_i Bi^-1 + omegaj rho_j Bj^-1)^-1 (xi omegai rho_i Bi^-1 + xj omegaj rho_j Bj^-1) with i inside and j outside
+
+        //first set up the matrices containing the diffusion coefficients and mole fractions
+
+        //inside matrix
+        for (int compIIdx = 0; compIIdx < numComponents-1; compIIdx++)
+        {
+            const int domainICompIIdx = couplingCompIdx(domainI, compIIdx);
+            const auto xi = volVarsI.moleFraction(couplingPhaseIdx(domainI), domainICompIIdx);
+            Scalar tin = diffusionCoefficientMS_(volVarsI, couplingPhaseIdx(domainI), domainICompIIdx, couplingCompIdx(domainI, numComponents-1));
+
+            // set the entries of the diffusion matrix of the diagonal
+            reducedDiffusionMatrixInside[domainICompIIdx][domainICompIIdx] += xi/tin;
+
+            for (int compJIdx = 0; compJIdx < numComponents; compJIdx++)
+            {
+                const int domainICompJIdx = couplingCompIdx(domainI, compJIdx);
+
+                // we don't want to calculate e.g. water in water diffusion
+                if (domainICompIIdx == domainICompJIdx)
+                    continue;
+
+                const auto xj = volVarsI.moleFraction(couplingPhaseIdx(domainI), domainICompJIdx);
+                Scalar tij = diffusionCoefficientMS_(volVarsI, couplingPhaseIdx(domainI), domainICompIIdx, domainICompJIdx);
+                reducedDiffusionMatrixInside[domainICompIIdx][domainICompIIdx] += xj/tij;
+                reducedDiffusionMatrixInside[domainICompIIdx][domainICompJIdx] += xi*(1/tin - 1/tij);
+            }
+        }
+        //outside matrix
+        for (int compIIdx = 0; compIIdx < numComponents-1; compIIdx++)
+        {
+            const int domainJCompIIdx = couplingCompIdx(domainJ, compIIdx);
+            const int domainICompIIdx = couplingCompIdx(domainI, compIIdx);
+
+            const auto xi =volVarsJ.moleFraction(couplingPhaseIdx(domainJ), domainJCompIIdx);
+            Scalar tin =diffusionCoefficientMS_(volVarsJ, couplingPhaseIdx(domainJ), domainJCompIIdx, couplingCompIdx(domainJ, numComponents-1));
+
+            // set the entries of the diffusion matrix of the diagonal
+            reducedDiffusionMatrixOutside[domainICompIIdx][domainICompIIdx] += xi/tin;
+
+            for (int compJIdx = 0; compJIdx < numComponents; compJIdx++)
+            {
+                const int domainJCompJIdx = couplingCompIdx(domainJ, compJIdx);
+                const int domainICompJIdx = couplingCompIdx(domainI, compJIdx);
+
+                // we don't want to calculate e.g. water in water diffusion
+                if (domainJCompJIdx == domainJCompIIdx)
+                    continue;
+
+                const auto xj = volVarsJ.moleFraction(couplingPhaseIdx(domainJ), domainJCompJIdx);
+                Scalar tij = diffusionCoefficientMS_(volVarsJ, couplingPhaseIdx(domainJ), domainJCompIIdx, domainJCompJIdx);
+                reducedDiffusionMatrixOutside[domainICompIIdx][domainICompIIdx] += xj/tij;
+                reducedDiffusionMatrixOutside[domainICompIIdx][domainICompJIdx] += xi*(1/tin - 1/tij);
+            }
+        }
+
+        Scalar omegai = 1/insideDistance;
+        omegai *= volVarsI.extrusionFactor();
+
+        Scalar omegaj = 1/outsideDistance;
+        omegaj *= volVarsJ.extrusionFactor();
+
+        reducedDiffusionMatrixInside.invert();
+        reducedDiffusionMatrixInside *= omegai*volVarsI.molarDensity(couplingPhaseIdx(domainI));
+        reducedDiffusionMatrixOutside.invert();
+        reducedDiffusionMatrixOutside *= omegaj*volVarsJ.molarDensity(couplingPhaseIdx(domainJ));
+
+        //in the helpervector we store the values for x*
+        ReducedComponentVector helperVector(0.0);
+        ReducedComponentVector gradientVectori(0.0);
+        ReducedComponentVector gradientVectorj(0.0);
+
+        reducedDiffusionMatrixInside.mv(moleFracInside, gradientVectori);
+        reducedDiffusionMatrixOutside.mv(moleFracOutside, gradientVectorj);
+
+        auto gradientVectorij = (gradientVectori + gradientVectorj);
+
+        //add the two matrixes to each other
+        reducedDiffusionMatrixOutside += reducedDiffusionMatrixInside;
+
+        reducedDiffusionMatrixOutside.solve(helperVector, gradientVectorij);
+
+        //Bi^-1 omegai rho_i (x*-xi). As we previously multiplied rho_i and omega_i wit the insidematrix, this does not need to be done again
+        helperVector -=moleFracInside;
+        reducedDiffusionMatrixInside.mv(helperVector, reducedFlux);
+
+        reducedFlux *= -1;
+
+        for (int compIdx = 0; compIdx < numComponents-1; compIdx++)
+        {
+            const int domainICompIdx = couplingCompIdx(domainI, compIdx);
+            diffusiveFlux[domainICompIdx] = reducedFlux[domainICompIdx];
+            diffusiveFlux[couplingCompIdx(domainI, numComponents-1)] -= reducedFlux[domainICompIdx];
+        }
+        return diffusiveFlux;
+    }
+
+    template<std::size_t i, std::size_t j>
+    NumEqVector diffusiveMolecularFluxFicksLaw_(Dune::index_constant<i> domainI,
+                                                Dune::index_constant<j> domainJ,
+                                                const SubControlVolumeFace<i>& scvfI,
+                                                const SubControlVolume<i>& scvI,
+                                                const SubControlVolume<j>& scvJ,
+                                                const VolumeVariables<i>& volVarsI,
+                                                const VolumeVariables<j>& volVarsJ,
+                                                const DiffusionCoefficientAveragingType diffCoeffAvgType) const
+    {
+        NumEqVector diffusiveFlux(0.0);
+
         const Scalar avgMolarDensity = 0.5 * volVarsI.molarDensity(couplingPhaseIdx(domainI)) + 0.5 *  volVarsJ.molarDensity(couplingPhaseIdx(domainJ));
+
         const Scalar insideDistance = this->getDistance_(scvI, scvfI);
         const Scalar outsideDistance = this->getDistance_(scvJ, scvfI);
 
@@ -884,7 +1081,9 @@ protected:
 
         flux += this->conductiveEnergyFlux_(domainI, domainJ, insideFvGeometry, outsideFvGeometry, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars, diffCoeffAvgType);
 
-        auto diffusiveFlux = this->diffusiveMolecularFlux_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars, diffCoeffAvgType);
+        auto diffusiveFlux = isFicksLaw ? diffusiveMolecularFluxFicksLaw_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars, diffCoeffAvgType)
+                                        : diffusiveMolecularFluxMaxwellStefan_(domainI, domainJ, scvf, insideScv, outsideScv, insideVolVars, outsideVolVars);
+
 
         for (int compIdx = 0; compIdx < diffusiveFlux.size(); ++compIdx)
         {
diff --git a/dumux/porousmediumflow/1pnc/volumevariables.hh b/dumux/porousmediumflow/1pnc/volumevariables.hh
index f3a67cb668bb6a5eedc739e1832bb025e66dbabf..a098d5499eac056172fdf92bb452940cd4be6328 100644
--- a/dumux/porousmediumflow/1pnc/volumevariables.hh
+++ b/dumux/porousmediumflow/1pnc/volumevariables.hh
@@ -99,11 +99,21 @@ public:
         // Could be avoided if diffusion coefficients also
         // became part of the fluid state.
         typename FluidSystem::ParameterCache paramCache;
+
         paramCache.updatePhase(fluidState_, 0);
 
-        diffCoeff_[0] = 0.0; // the main component with itself doesn't have a binary diffusion coefficient
-        for (unsigned int compJIdx = 1; compJIdx < numFluidComps; ++compJIdx)
-            diffCoeff_[compJIdx] = FluidSystem::binaryDiffusionCoefficient(fluidState_, paramCache, 0, 0, compJIdx);
+        for (unsigned int compIIdx = 0; compIIdx < numFluidComps; ++compIIdx)
+        {
+            for (unsigned int compJIdx = 0; compJIdx < numFluidComps; ++compJIdx)
+            {
+                if(compIIdx != compJIdx)
+                    diffCoeff_[compIIdx][compJIdx] = FluidSystem::binaryDiffusionCoefficient(fluidState_,
+                                                                                paramCache,
+                                                                                0,
+                                                                                compIIdx,
+                                                                                compJIdx);
+            }
+        }
     }
 
     /*!
@@ -294,7 +304,7 @@ public:
     Scalar diffusionCoefficient(int phaseIdx, int compIdx) const
     {
         assert(compIdx < numFluidComps);
-        return diffCoeff_[compIdx];
+        return diffCoeff_[phaseIdx][compIdx];
     }
 
     /*!
@@ -330,8 +340,8 @@ protected:
     SolidState solidState_;
 
 private:
-    PermeabilityType permeability_; //!< Effective permeability within the control volume
-    Dune::FieldVector<Scalar, numFluidComps> diffCoeff_; //!< Binary diffusion coefficients
+    PermeabilityType permeability_;
+    std::array<std::array<Scalar, numFluidComps>, numFluidComps> diffCoeff_;
 };
 
 } // end namespace Dumux
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/CMakeLists.txt b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/CMakeLists.txt
index 44146a28195d9cc9bfe39253aaa86c7d7c5af069..05a41dcbc9b14307a2579c4fca5630cec3aef86f 100644
--- a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/CMakeLists.txt
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/CMakeLists.txt
@@ -1,2 +1,3 @@
 add_subdirectory("verticalflow")
 add_subdirectory("horizontalflow")
+add_subdirectory("diffusionlawcomparison")
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/CMakeLists.txt b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c27a37406cd4439519af153286545bae57c56c1
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/CMakeLists.txt
@@ -0,0 +1,29 @@
+add_input_file_links()
+
+dune_add_test(NAME test_md_boundary_darcy1p2c_stokes1p2c_maxwellstefan
+              LABELS multidomain
+              SOURCES main.cc
+              CMAKE_GUARD HAVE_UMFPACK
+              COMPILE_DEFINITIONS DIFFUSIONTYPE=MaxwellStefansLaw<TypeTag>
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS       --script fuzzy
+                            --files ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-00020.vtu
+                                    ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-00020.vtu
+
+                            --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_maxwellstefan params.input")
+
+dune_add_test(NAME test_md_boundary_darcy1p2c_stokes1p2c_fickslaw
+              LABELS multidomain
+              SOURCES main.cc
+              CMAKE_GUARD HAVE_UMFPACK
+              COMPILE_DEFINITIONS DIFFUSIONTYPE=FicksLaw<TypeTag>
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS       --script fuzzy
+                            --files ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-00020.vtu
+                                    ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-00020.vtu
+
+                            --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p2c_stokes1p2c_fickslaw params.input")
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/main.cc b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/main.cc
new file mode 100644
index 0000000000000000000000000000000000000000..3d6e2c8de924f7aee49e3b6f2f9acb70ae95b8d3
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/main.cc
@@ -0,0 +1,299 @@
+// -*- 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 coupled Stokes/Darcy problem (1p2c) comparing different diffusion laws
+ */
+#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/fvassembler.hh>
+#include <dumux/assembly/diffmethod.hh>
+#include <dumux/discretization/method.hh>
+#include <dumux/io/vtkoutputmodule.hh>
+#include <dumux/io/staggeredvtkoutputmodule.hh>
+#include <dumux/io/grid/gridmanager.hh>
+
+#include <dumux/multidomain/staggeredtraits.hh>
+#include <dumux/multidomain/fvassembler.hh>
+#include <dumux/multidomain/newtonsolver.hh>
+
+#include <dumux/multidomain/boundary/stokesdarcy/couplingmanager.hh>
+
+#include "problem_darcy.hh"
+#include "problem_stokes.hh"
+
+namespace Dumux {
+namespace Properties {
+
+template<class TypeTag>
+struct CouplingManager<TypeTag, TTag::StokesOnePTwoC>
+{
+    using Traits = StaggeredMultiDomainTraits<TypeTag, TypeTag, Properties::TTag::DarcyOnePTwoC>;
+    using type = Dumux::StokesDarcyCouplingManager<Traits>;
+};
+
+template<class TypeTag>
+struct CouplingManager<TypeTag, TTag::DarcyOnePTwoC>
+{
+    using Traits = StaggeredMultiDomainTraits<Properties::TTag::StokesOnePTwoC, Properties::TTag::StokesOnePTwoC, TypeTag>;
+    using type = Dumux::StokesDarcyCouplingManager<Traits>;
+};
+
+} // 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 StokesTypeTag = Properties::TTag::StokesOnePTwoC;
+    using DarcyTypeTag = Properties::TTag::DarcyOnePTwoC;
+
+    // try to create a grid (from the given grid file or the input file)
+    // for both sub-domains
+    using DarcyGridManager = Dumux::GridManager<GetPropType<DarcyTypeTag, Properties::Grid>>;
+    DarcyGridManager darcyGridManager;
+    darcyGridManager.init("Darcy"); // pass parameter group
+
+    using StokesGridManager = Dumux::GridManager<GetPropType<StokesTypeTag, Properties::Grid>>;
+    StokesGridManager stokesGridManager;
+    stokesGridManager.init("Stokes"); // pass parameter group
+
+    // we compute on the leaf grid view
+    const auto& darcyGridView = darcyGridManager.grid().leafGridView();
+    const auto& stokesGridView = stokesGridManager.grid().leafGridView();
+
+    // create the finite volume grid geometry
+    using StokesFVGridGeometry = GetPropType<StokesTypeTag, Properties::FVGridGeometry>;
+    auto stokesFvGridGeometry = std::make_shared<StokesFVGridGeometry>(stokesGridView);
+    stokesFvGridGeometry->update();
+    using DarcyFVGridGeometry = GetPropType<DarcyTypeTag, Properties::FVGridGeometry>;
+    auto darcyFvGridGeometry = std::make_shared<DarcyFVGridGeometry>(darcyGridView);
+    darcyFvGridGeometry->update();
+
+    using Traits = StaggeredMultiDomainTraits<StokesTypeTag, StokesTypeTag, DarcyTypeTag>;
+
+    // the coupling manager
+    using CouplingManager = StokesDarcyCouplingManager<Traits>;
+    auto couplingManager = std::make_shared<CouplingManager>(stokesFvGridGeometry, darcyFvGridGeometry);
+
+    // the indices
+    constexpr auto stokesCellCenterIdx = CouplingManager::stokesCellCenterIdx;
+    constexpr auto stokesFaceIdx = CouplingManager::stokesFaceIdx;
+    constexpr auto darcyIdx = CouplingManager::darcyIdx;
+
+    // the problems (initial and boundary conditions)
+    using StokesProblem = GetPropType<StokesTypeTag, Properties::Problem>;
+    auto stokesProblem = std::make_shared<StokesProblem>(stokesFvGridGeometry, couplingManager);
+    using DarcyProblem = GetPropType<DarcyTypeTag, Properties::Problem>;
+    auto darcyProblem = std::make_shared<DarcyProblem>(darcyFvGridGeometry, couplingManager);
+
+    // initialize the fluidsystem (tabulation)
+    GetPropType<StokesTypeTag, Properties::FluidSystem>::init();
+
+    // get some time loop parameters
+    using Scalar = GetPropType<StokesTypeTag, Properties::Scalar>;
+    const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+    const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+    auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+    // check if we are about to restart a previously interrupted simulation
+    Scalar restartTime = 0;
+    if (Parameters::getTree().hasKey("Restart") || Parameters::getTree().hasKey("TimeLoop.Restart"))
+        restartTime = getParam<Scalar>("TimeLoop.Restart");
+
+    // instantiate time loop
+    auto timeLoop = std::make_shared<CheckPointTimeLoop<Scalar>>(restartTime, dt, tEnd);
+    timeLoop->setMaxTimeStepSize(maxDt);
+
+    // control the injection period
+    const Scalar injectionBegin = getParam<Scalar>("Stokes.Problem.InjectionBegin");
+    const Scalar injectionEnd = getParam<Scalar>("Stokes.Problem.InjectionEnd");
+
+    if(injectionBegin > 0.0)
+        timeLoop->setCheckPoint({injectionBegin, injectionEnd});
+    else
+        timeLoop->setCheckPoint({injectionEnd});
+
+    // the solution vector
+    Traits::SolutionVector sol;
+    sol[stokesCellCenterIdx].resize(stokesFvGridGeometry->numCellCenterDofs());
+    sol[stokesFaceIdx].resize(stokesFvGridGeometry->numFaceDofs());
+    sol[darcyIdx].resize(darcyFvGridGeometry->numDofs());
+
+    const auto& cellCenterSol = sol[stokesCellCenterIdx];
+    const auto& faceSol = sol[stokesFaceIdx];
+
+    // apply initial solution for instationary problems
+    GetPropType<StokesTypeTag, Properties::SolutionVector> stokesSol;
+    std::get<0>(stokesSol) = cellCenterSol;
+    std::get<1>(stokesSol) = faceSol;
+    stokesProblem->applyInitialSolution(stokesSol);
+    sol[stokesCellCenterIdx] = stokesSol[stokesCellCenterIdx];
+    sol[stokesFaceIdx] = stokesSol[stokesFaceIdx];
+
+    darcyProblem->applyInitialSolution(sol[darcyIdx]);
+    auto solDarcyOld = sol[darcyIdx];
+
+    auto solOld = sol;
+
+    couplingManager->init(stokesProblem, darcyProblem, sol);
+
+    // the grid variables
+    using StokesGridVariables = GetPropType<StokesTypeTag, Properties::GridVariables>;
+    auto stokesGridVariables = std::make_shared<StokesGridVariables>(stokesProblem, stokesFvGridGeometry);
+    stokesGridVariables->init(stokesSol);
+    using DarcyGridVariables = GetPropType<DarcyTypeTag, Properties::GridVariables>;
+    auto darcyGridVariables = std::make_shared<DarcyGridVariables>(darcyProblem, darcyFvGridGeometry);
+    darcyGridVariables->init(sol[darcyIdx]);
+
+    // intialize the vtk output module
+    const auto stokesName = getParam<std::string>("Problem.Name") + "_" + stokesProblem->name();
+    const auto darcyName = getParam<std::string>("Problem.Name") + "_" + darcyProblem->name();
+
+    StaggeredVtkOutputModule<StokesGridVariables, GetPropType<StokesTypeTag, Properties::SolutionVector>> stokesVtkWriter(*stokesGridVariables, stokesSol, stokesName);
+    GetPropType<StokesTypeTag, Properties::IOFields>::initOutputModule(stokesVtkWriter);
+    stokesVtkWriter.write(0.0);
+
+    VtkOutputModule<DarcyGridVariables, GetPropType<DarcyTypeTag, Properties::SolutionVector>> darcyVtkWriter(*darcyGridVariables, sol[darcyIdx], darcyName);
+    GetPropType<DarcyTypeTag, Properties::IOFields>::initOutputModule(darcyVtkWriter);
+    darcyVtkWriter.write(0.0);
+
+    // the assembler with time loop for instationary problem
+    using Assembler = MultiDomainFVAssembler<Traits, CouplingManager, DiffMethod::numeric>;
+    auto assembler = std::make_shared<Assembler>(std::make_tuple(stokesProblem, stokesProblem, darcyProblem),
+                                                 std::make_tuple(stokesFvGridGeometry->cellCenterFVGridGeometryPtr(),
+                                                                 stokesFvGridGeometry->faceFVGridGeometryPtr(),
+                                                                 darcyFvGridGeometry),
+                                                 std::make_tuple(stokesGridVariables->cellCenterGridVariablesPtr(),
+                                                                 stokesGridVariables->faceGridVariablesPtr(),
+                                                                 darcyGridVariables),
+                                                 couplingManager,
+                                                 timeLoop);
+
+    // the linear solver
+    using LinearSolver = UMFPackBackend;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    // the non-linear solver
+    using NewtonSolver = MultiDomainNewtonSolver<Assembler, LinearSolver, CouplingManager>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver, couplingManager);
+
+    constexpr auto eps = 1e-6;
+
+    // time loop
+    timeLoop->start(); do
+    {
+        // set previous solution for storage evaluations
+        assembler->setPreviousSolution(solOld);
+
+
+        if(timeLoop->time() > injectionBegin - eps && timeLoop->time() < injectionEnd + eps)
+            stokesProblem->setInjectionState(true);
+        else
+            stokesProblem->setInjectionState(false);
+
+        // solve the non-linear system with time step control
+        nonLinearSolver.solve(sol, *timeLoop);
+
+        // make the new solution the old solution
+        solOld = sol;
+        stokesGridVariables->advanceTimeStep();
+        darcyGridVariables->advanceTimeStep();
+
+        // advance to the time loop to the next step
+        timeLoop->advanceTimeStep();
+
+        // write vtk output
+        stokesVtkWriter.write(timeLoop->time());
+        darcyVtkWriter.write(timeLoop->time());
+
+        // report statistics of this time step
+        timeLoop->reportTimeStep();
+
+        // set new dt as suggested by newton solver
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+
+    } while (!timeLoop->finished());
+
+    timeLoop->finalize(stokesGridView.comm());
+    timeLoop->finalize(darcyGridView.comm());
+
+    ////////////////////////////////////////////////////////////
+    // finalize, print dumux message to say goodbye
+    ////////////////////////////////////////////////////////////
+
+    // print dumux end message
+    if (mpiHelper.rank() == 0)
+    {
+        Parameters::print();
+        DumuxMessage::print(/*firstCall=*/false);
+    }
+
+    return 0;
+} // end main
+catch (Dumux::ParameterException &e)
+{
+    std::cerr << std::endl << e << " ---> Abort!" << std::endl;
+    return 1;
+}
+catch (Dune::DGFException & e)
+{
+    std::cerr << "DGF exception thrown (" << e <<
+                 "). Most likely, the DGF file name is wrong "
+                 "or the DGF file is corrupted, "
+                 "e.g. missing hash at end of file or wrong number (dimensions) of entries."
+                 << " ---> Abort!" << std::endl;
+    return 2;
+}
+catch (Dune::Exception &e)
+{
+    std::cerr << "Dune reported error: " << e << " ---> Abort!" << std::endl;
+    return 3;
+}
+catch (...)
+{
+    std::cerr << "Unknown exception thrown! ---> Abort!" << std::endl;
+    return 4;
+}
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/params.input b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/params.input
new file mode 100644
index 0000000000000000000000000000000000000000..6ec8059ea8952f3460fc40f9eb4c8703487fa959
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/params.input
@@ -0,0 +1,42 @@
+[TimeLoop]
+TEnd = 3e6 # s
+DtInitial = 100 # s
+
+[Darcy.Grid]
+UpperRight = 1.0 1.0
+Cells = 20 20
+
+[Stokes.Grid]
+LowerLeft = 0.0 1.0
+UpperRight = 1.0 2.0
+Cells = 20 20
+
+[Stokes.Problem]
+Name = stokes
+Velocity = 1e-6
+Pressure = 1.0e5
+InletMoleFraction = 1e-3
+InjectionBegin = 0
+InjectionEnd = 3e6
+
+[Darcy.Problem]
+Name = darcy
+Pressure = 1.0e5
+InitialMoleFraction = 0.0
+
+[SpatialParams]
+AlphaBeaversJoseph = 1.0
+Permeability = 1e-10 # m^2
+Porosity = 0.3
+Tortuosity = 0.5
+
+[Problem]
+Name = test_md_boundary_darcy1p2c_stokes1p2c_comparison
+EnableGravity = false
+EnableInertiaTerms = true
+
+[Vtk]
+AddVelocity = 1
+
+[Assembly.NumericDifference]
+BaseEpsilon = 1e-5
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_darcy.hh b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_darcy.hh
new file mode 100644
index 0000000000000000000000000000000000000000..69603ae01909305e3a7ded1fd2b9fb18571c6451
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_darcy.hh
@@ -0,0 +1,281 @@
+// -*- 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 simple Darcy test problem (cell-centered finite volume method) for the comparison of different diffusion laws.
+ */
+#ifndef DUMUX_DARCY_SUBPROBLEM_DIFFUSION_COMPARISON_HH
+#define DUMUX_DARCY_SUBPROBLEM_DIFFUSION_COMPARISON_HH
+
+#include <dune/grid/yaspgrid.hh>
+
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+#include <dumux/flux/maxwellstefanslaw.hh>
+
+#include <dumux/porousmediumflow/1pnc/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+
+#include "./../spatialparams.hh"
+
+#include <dumux/material/fluidsystems/1padapter.hh>
+#include <dumux/material/fluidsystems/h2oair.hh>
+#include <dumux/material/fluidmatrixinteractions/diffusivityconstanttortuosity.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class DarcySubProblem;
+
+namespace Properties
+{
+// Create new type tags
+namespace TTag {
+struct DarcyOnePTwoC { using InheritsFrom = std::tuple<OnePNC, CCTpfaModel>; };
+} // end namespace TTag
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::DarcyOnePTwoC> { using type = Dumux::DarcySubProblem<TypeTag>; };
+
+// The fluid system
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::DarcyOnePTwoC>
+{
+  using H2OAir = FluidSystems::H2OAir<GetPropType<TypeTag, Properties::Scalar>>;
+  static constexpr auto phaseIdx = H2OAir::liquidPhaseIdx; // simulate the water phase
+  using type = FluidSystems::OnePAdapter<H2OAir, phaseIdx>;
+};
+
+// Use moles
+template<class TypeTag>
+struct UseMoles<TypeTag, TTag::DarcyOnePTwoC> { static constexpr bool value = true; };
+
+// Do not replace one equation with a total mass balance
+template<class TypeTag>
+struct ReplaceCompEqIdx<TypeTag, TTag::DarcyOnePTwoC> { static constexpr int value = 3; };
+
+//! Use a model with constant tortuosity for the effective diffusivity
+SET_TYPE_PROP(DarcyOnePTwoC, EffectiveDiffusivityModel,
+              DiffusivityConstantTortuosity<GetPropType<TypeTag, Properties::Scalar>>);
+
+// Set the grid type
+template<class TypeTag>
+struct Grid<TypeTag, TTag::DarcyOnePTwoC> { using type = Dune::YaspGrid<2>; };
+
+// Set the diffusion type
+template<class TypeTag>
+struct MolecularDiffusionType<TypeTag, TTag::DarcyOnePTwoC> { using type = DIFFUSIONTYPE; };
+
+// Set the spatial paramaters type
+template<class TypeTag>
+struct SpatialParams<TypeTag, TTag::DarcyOnePTwoC>
+{
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using type = OnePSpatialParams<FVGridGeometry, Scalar>;
+};
+}
+
+template <class TypeTag>
+class DarcySubProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+    using GridView = GetPropType<TypeTag, Properties::GridView>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
+    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
+    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
+    using FVElementGeometry = typename GetPropType<TypeTag, Properties::FVGridGeometry>::LocalView;
+    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
+
+    // copy some indices for convenience
+    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+    enum {
+        // grid and world dimension
+        dim = GridView::dimension,
+        dimworld = GridView::dimensionworld,
+
+        // primary variable indices
+        conti0EqIdx = Indices::conti0EqIdx,
+        pressureIdx = Indices::pressureIdx,
+    };
+
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
+
+public:
+    DarcySubProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                   std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry, "Darcy"), eps_(1e-7), couplingManager_(couplingManager)
+    {
+        pressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Pressure");
+        initialMoleFraction_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InitialMoleFraction");
+    }
+
+    /*!
+     * \name Simulation steering
+     */
+    // \{
+
+    /*!
+     * \brief Returns true if a restart file should be written to
+     *        disk.
+     */
+    bool shouldWriteRestartFile() const
+    { return false; }
+
+    /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    bool shouldWriteOutput() const // define output
+    { return true; }
+
+    /*!
+     * \brief Return the temperature within the domain in [K].
+     *
+     */
+    Scalar temperature() const
+    { return 273.15 + 10; } // 10°C
+    // \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+    /*!
+      * \brief Specifies which kind of boundary condition should be
+      *        used for which equation on a given boundary control volume.
+      *
+      * \param element The element
+      * \param scvf The boundary sub control volume face
+      */
+    BoundaryTypes boundaryTypes(const Element& element, const SubControlVolumeFace& scvf) const
+    {
+        BoundaryTypes values;
+        values.setAllNeumann();
+
+        if (couplingManager().isCoupledEntity(CouplingManager::darcyIdx, scvf))
+            values.setAllCouplingNeumann();
+
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Neumann control volume.
+     *
+     * \param element The element for which the Neumann boundary condition is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param scvf The boundary sub control volume face
+     *
+     * For this method, the \a values variable stores primary variables.
+     */
+    template<class ElementVolumeVariables>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        NumEqVector values(0.0);
+
+        if (couplingManager().isCoupledEntity(CouplingManager::darcyIdx, scvf))
+            values = couplingManager().couplingData().massCouplingCondition(fvGeometry, elemVolVars, scvf, DiffusionCoefficientAveragingType::harmonic);
+
+        return values;
+    }
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+    /*!
+     * \brief Evaluate the source term for all phases within a given
+     *        sub-control-volume.
+     *
+     * \param element The element for which the source term is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param scv The subcontrolvolume
+     */
+    template<class ElementVolumeVariables>
+    NumEqVector source(const Element &element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume &scv) const
+    { return NumEqVector(0.0); }
+
+    // \}
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * \param element The element
+     *
+     * For this method, the \a priVars parameter stores primary
+     * variables.
+     */
+    PrimaryVariables initial(const Element &element) const
+    {
+        PrimaryVariables values(0.0);
+        values[pressureIdx] = pressure_;
+        values[conti0EqIdx + 1] = initialMoleFraction_;
+
+        return values;
+    }
+
+    // \}
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - eps_; }
+
+    Scalar eps_;
+    Scalar pressure_;
+    Scalar initialMoleFraction_;
+
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+} //end namespace
+
+#endif //DUMUX_DARCY_SUBPROBLEM_HH
diff --git a/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_stokes.hh b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_stokes.hh
new file mode 100644
index 0000000000000000000000000000000000000000..dfe2ec81ddd1b434d80c9fca15be850d3a0d25b5
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p2c_1p2c/diffusionlawcomparison/problem_stokes.hh
@@ -0,0 +1,322 @@
+// -*- 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 NavierStokesTests
+ * \brief A simple Navier-Stokes test problem for the staggered grid (Navier-)Stokes model. This test uses the same set-up as the horizontal test but uses a harmonic averaging of the diffusion coefficients at the interface for ficks law and comares the solution with the maxwell stefan coupling
+ */
+#ifndef DUMUX_STOKES_SUBPROBLEM_DIFFUSION_COMPARISON_HH
+#define DUMUX_STOKES_SUBPROBLEM_DIFFUSION_COMPARISON_HH
+
+#include <dune/grid/yaspgrid.hh>
+
+#include <dumux/material/fluidsystems/1padapter.hh>
+#include <dumux/material/fluidsystems/h2oair.hh>
+#include <dumux/flux/maxwellstefanslaw.hh>
+
+#include <dumux/freeflow/navierstokes/problem.hh>
+#include <dumux/discretization/staggered/freeflow/properties.hh>
+#include <dumux/freeflow/compositional/navierstokesncmodel.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class StokesSubProblem;
+
+namespace Properties
+{
+// Create new type tags
+namespace TTag {
+struct StokesOnePTwoC { using InheritsFrom = std::tuple<NavierStokesNC, StaggeredFreeFlowModel>; };
+} // end namespace TTag
+
+// The fluid system
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::StokesOnePTwoC>
+{
+  using H2OAir = FluidSystems::H2OAir<GetPropType<TypeTag, Properties::Scalar>>;
+  static constexpr auto phaseIdx = H2OAir::liquidPhaseIdx; // simulate the water phase
+  using type = FluidSystems::OnePAdapter<H2OAir, phaseIdx>;
+};
+
+// Set the grid type
+template<class TypeTag>
+struct Grid<TypeTag, TTag::StokesOnePTwoC> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::StokesOnePTwoC> { using type = Dumux::StokesSubProblem<TypeTag> ; };
+
+template<class TypeTag>
+struct EnableFVGridGeometryCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridFluxVariablesCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridVolumeVariablesCache<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
+
+// Use moles
+template<class TypeTag>
+struct UseMoles<TypeTag, TTag::StokesOnePTwoC> { static constexpr bool value = true; };
+
+// Set the grid type
+template<class TypeTag>
+struct MolecularDiffusionType<TypeTag, TTag::StokesOnePTwoC> { using type = DIFFUSIONTYPE; };
+
+// Do not replace one equation with a total mass balance
+template<class TypeTag>
+struct ReplaceCompEqIdx<TypeTag, TTag::StokesOnePTwoC> { static constexpr int value = 3; };
+}
+
+/*!
+ * \ingroup NavierStokesTests
+ * \brief  Test problem for the 1pnc (Navier-) Stokes problem.
+ *
+ * Horizontal flow from left to right with a parabolic velocity profile.
+ */
+template <class TypeTag>
+class StokesSubProblem : public NavierStokesProblem<TypeTag>
+{
+    using ParentType = NavierStokesProblem<TypeTag>;
+    using GridView = GetPropType<TypeTag, Properties::GridView>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
+    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
+
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
+    using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
+
+public:
+    StokesSubProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry, std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry, "Stokes"), eps_(1e-6), injectionState_(false), couplingManager_(couplingManager)
+    {
+        inletVelocity_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Velocity");
+        pressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Pressure");
+        inletMoleFraction_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InletMoleFraction");
+    }
+
+   /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    bool shouldWriteRestartFile() const
+    { return false; }
+
+   /*!
+     * \brief Return the temperature within the domain in [K].
+     *
+     * This problem assumes a temperature of 10 degrees Celsius.
+     */
+    Scalar temperature() const
+    { return 273.15 + 10; } // 10°C
+
+   /*!
+     * \brief Return the sources within the domain.
+     *
+     * \param globalPos The global position
+     */
+    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
+    { return NumEqVector(0.0); }
+    // \}
+
+   /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+    /*!
+     * \brief Specifies which kind of boundary condition should be
+     *        used for which equation on a given boundary segment.
+     *
+     * \param element The finite element
+     * \param scvf The sub control volume face
+     */
+    BoundaryTypes boundaryTypes(const Element& element,
+                                const SubControlVolumeFace& scvf) const
+    {
+        BoundaryTypes values;
+
+        const auto& globalPos = scvf.dofPosition();
+
+        if(onLeftBoundary_(globalPos))
+        {
+            values.setDirichlet(Indices::conti0EqIdx + 1);
+            values.setDirichlet(Indices::velocityXIdx);
+            values.setDirichlet(Indices::velocityYIdx);
+        }
+        else if(onRightBoundary_(globalPos))
+        {
+            values.setDirichlet(Indices::pressureIdx);
+            values.setOutflow(Indices::conti0EqIdx + 1);
+        }
+        else
+        {
+            values.setDirichlet(Indices::velocityXIdx);
+            values.setDirichlet(Indices::velocityYIdx);
+            values.setNeumann(Indices::conti0EqIdx);
+            values.setNeumann(Indices::conti0EqIdx + 1);
+        }
+
+        if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
+        {
+            values.setCouplingNeumann(Indices::conti0EqIdx);
+            values.setCouplingNeumann(Indices::conti0EqIdx + 1);
+            values.setCouplingNeumann(Indices::momentumYBalanceIdx);
+            values.setBJS(Indices::momentumXBalanceIdx);
+        }
+
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Dirichlet control volume.
+     *
+     * \param element The element
+     * \param scvf The sub control volume face
+     */
+    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+    {
+        PrimaryVariables values(0.0);
+        values = initialAtPos(globalPos);
+
+        // start injecting after the velocity field had enough time to initialize
+        if(globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_ && isInjectionPeriod())
+            values[Indices::conti0EqIdx + 1] = inletMoleFraction_;
+
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Neumann control volume.
+     *
+     * \param element The element for which the Neumann boundary condition is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param elemFaceVars The element face variables
+     * \param scvf The boundary sub control volume face
+     */
+    template<class ElementVolumeVariables, class ElementFaceVariables>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const ElementFaceVariables& elemFaceVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        NumEqVector values(0.0);
+
+        if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf))
+        {
+            values[Indices::momentumYBalanceIdx] = couplingManager().couplingData().momentumCouplingCondition(fvGeometry, elemVolVars, elemFaceVars, scvf);
+
+            const auto tmp = couplingManager().couplingData().massCouplingCondition(fvGeometry, elemVolVars, elemFaceVars, scvf, DiffusionCoefficientAveragingType::harmonic);
+            values[Indices::conti0EqIdx] = tmp[0];
+            values[Indices::conti0EqIdx + 1] = tmp[1];
+        }
+        return values;
+    }
+
+    // \}
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+   /*!
+     * \name Volume terms
+     */
+    // \{
+
+   /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * \param globalPos The global position
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values(0.0);
+        values[Indices::pressureIdx] = pressure_;
+        values[Indices::velocityXIdx] = inletVelocity_ * (globalPos[1] - this->fvGridGeometry().bBoxMin()[1])
+                                              * (this->fvGridGeometry().bBoxMax()[1] - globalPos[1])
+                                              / (0.25 * (this->fvGridGeometry().bBoxMax()[1] - this->fvGridGeometry().bBoxMin()[1])
+                                              * (this->fvGridGeometry().bBoxMax()[1] - this->fvGridGeometry().bBoxMin()[1]));
+
+        return values;
+    }
+
+    /*!
+     * \brief Returns the intrinsic permeability of required as input parameter for the Beavers-Joseph-Saffman boundary condition
+     */
+    Scalar permeability(const SubControlVolumeFace& scvf) const
+    {
+        return couplingManager().couplingData().darcyPermeability(scvf);
+    }
+
+    /*!
+     * \brief Returns the alpha value required as input parameter for the Beavers-Joseph-Saffman boundary condition
+     */
+    Scalar alphaBJ(const SubControlVolumeFace& scvf) const
+    {
+        return 1.0;
+    }
+
+    void setInjectionState(const bool yesNo)
+    {
+        injectionState_ = yesNo;
+    }
+
+    bool isInjectionPeriod() const
+    {
+        return injectionState_;
+    }
+
+    // \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - eps_; }
+
+    Scalar eps_;
+    Scalar inletVelocity_;
+    Scalar pressure_;
+    Scalar inletMoleFraction_;
+    bool injectionState_;
+
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+} //end namespace
+
+#endif // DUMUX_STOKES_SUBPROBLEM_HH
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/CMakeLists.txt b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..20d9ed243e53daf762c528df03ddaaedfd231fee
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/CMakeLists.txt
@@ -0,0 +1,14 @@
+add_input_file_links()
+
+dune_add_test(NAME test_md_boundary_darcy1p3c_stokes1p3c_horizontal
+              LABELS multidomain
+              SOURCES main.cc
+              CMAKE_GUARD HAVE_UMFPACK
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS       --script fuzzy
+                            --files ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_stokes-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_stokes-00015.vtu
+                                    ${CMAKE_SOURCE_DIR}/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_darcy-reference.vtu
+                                    ${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_darcy-00015.vtu
+
+                            --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_boundary_darcy1p3c_stokes1p3c_horizontal params.input")
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/h2n2co2fluidsystem.hh b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/h2n2co2fluidsystem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..baab5b289bfbeccd20aa6dbe31453a9469f977d2
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/h2n2co2fluidsystem.hh
@@ -0,0 +1,155 @@
+// -*- 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 fluid system for one phase with the components h2, n2 and co2
+ */
+#ifndef DUMUX_THREE_GAS_COMPONENT_FLUID_SYSTEM_HH
+#define DUMUX_THREE_GAS_COMPONENT_FLUID_SYSTEM_HH
+
+#include <dumux/material/fluidsystems/base.hh>
+
+namespace Dumux {
+namespace FluidSystems {
+/*!
+ * \ingroup FluidSystems
+ * \brief  A simple fluid system with one MaxwellStefan component.
+ * \todo doc me!
+ */
+template<class Scalar>
+class H2N2CO2FluidSystem: public Base<Scalar, H2N2CO2FluidSystem<Scalar>>
+
+{
+    using ThisType = H2N2CO2FluidSystem<Scalar>;
+    using Base = FluidSystems::Base<Scalar, ThisType>;
+
+public:
+    //! The number of phases
+    static constexpr int numPhases = 1;
+    static constexpr int numComponents = 3;
+
+    static constexpr int H2Idx = 0;//first major component
+    static constexpr int N2Idx = 1;//second major component
+    static constexpr int CO2Idx = 2;//secondary component
+
+    //! Human readable component name (index compIdx) (for vtk output)
+    static std::string componentName(int compIdx)
+    {
+        switch (compIdx)
+        {
+            case H2Idx: return "H2";
+            case N2Idx: return "N2";
+            case CO2Idx: return "CO2";
+        }
+        DUNE_THROW(Dune::InvalidStateException, "Invalid compIdx index " << compIdx);
+    }
+
+    //! Human readable phase name (index phaseIdx) (for velocity vtk output)
+    static std::string phaseName(int phaseIdx = 0)
+    { return "Gas"; }
+
+    //! Molar mass in kg/mol of the component with index compIdx
+    static Scalar molarMass(unsigned int compIdx)
+    { return 0.02896; }
+
+
+    using Base::binaryDiffusionCoefficient;
+   /*!
+     * \brief Given a phase's composition, temperature and pressure,
+     *        return the binary diffusion coefficient \f$\mathrm{[m^2/s]}\f$ for components
+     *        \f$i\f$ and \f$j\f$ in this phase.
+     *
+     * \param fluidState An arbitrary fluid state
+     * \param phaseIdx The index of the fluid phase to consider
+     * \param compIIdx The index of the first component to consider
+     * \param compJIdx The index of the second component to consider
+     */
+    template <class FluidState>
+    static Scalar binaryDiffusionCoefficient(const FluidState &fluidState,
+                                             int phaseIdx,
+                                             int compIIdx,
+                                             int compJIdx)
+    {
+        if (compIIdx > compJIdx)
+        {
+            using std::swap;
+            swap(compIIdx, compJIdx);
+        }
+
+        if (compIIdx == H2Idx && compJIdx == N2Idx)
+                return 83.3e-6;
+        if (compIIdx == H2Idx && compJIdx == CO2Idx)
+                return 68.0e-6;
+        if (compIIdx == N2Idx && compJIdx == CO2Idx)
+                return 16.8e-6;
+        DUNE_THROW(Dune::InvalidStateException,
+                       "Binary diffusion coefficient of components "
+                       << compIIdx << " and " << compJIdx << " is undefined!\n");
+    }
+    using Base::density;
+   /*!
+     * \brief Given a phase's composition, temperature, pressure, and
+     *        the partial pressures of all components, return its
+     *        density \f$\mathrm{[kg/m^3]}\f$.
+     * \param phaseIdx index of the phase
+     * \param fluidState the fluid state
+     *
+     */
+    template <class FluidState>
+    static Scalar density(const FluidState &fluidState,
+                          const int phaseIdx)
+    {
+      return 1;
+    }
+
+    using Base::viscosity;
+   /*!
+     * \brief Calculate the dynamic viscosity of a fluid phase \f$\mathrm{[Pa*s]}\f$
+     * \param fluidState An arbitrary fluid state
+     * \param phaseIdx The index of the fluid phase to consider
+     */
+    template <class FluidState>
+    static Scalar viscosity(const FluidState &fluidState,
+                            int phaseIdx)
+    {
+        return 1e-6;
+    }
+
+    using Base::molarDensity;
+    /*!
+     * \brief The molar density \f$\rho_{mol,\alpha}\f$
+     *   of a fluid phase \f$\alpha\f$ in \f$\mathrm{[mol/m^3]}\f$
+     *
+     * The molar density for the simple relation is defined by the
+     * mass density \f$\rho_\alpha\f$ and the molar mass of the main component \f$M_\kappa\f$:
+     *
+     * \f[\rho_{mol,\alpha} = \frac{\rho_\alpha}{M_\kappa} \;.\f]
+     */
+    template <class FluidState>
+    static Scalar molarDensity(const FluidState &fluidState, int phaseIdx)
+    {
+        return density(fluidState, phaseIdx)/molarMass(0);
+    }
+};
+
+} // end namespace FluidSystems
+} // end namespace Dumux
+
+
+#endif
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/main.cc b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/main.cc
new file mode 100644
index 0000000000000000000000000000000000000000..6cfa8f91789b933c44498544cbff711e5d032c19
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/main.cc
@@ -0,0 +1,279 @@
+// -*- 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 coupled Stokes/Darcy problem (1p)
+ */
+#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/fvassembler.hh>
+#include <dumux/assembly/diffmethod.hh>
+#include <dumux/discretization/method.hh>
+#include <dumux/io/vtkoutputmodule.hh>
+#include <dumux/io/staggeredvtkoutputmodule.hh>
+#include <dumux/io/grid/gridmanager.hh>
+
+#include <dumux/multidomain/staggeredtraits.hh>
+#include <dumux/multidomain/fvassembler.hh>
+#include <dumux/multidomain/newtonsolver.hh>
+
+#include <dumux/multidomain/boundary/stokesdarcy/couplingmanager.hh>
+
+#include "problem_darcy.hh"
+#include "problem_stokes.hh"
+
+namespace Dumux {
+namespace Properties {
+
+template<class TypeTag>
+struct CouplingManager<TypeTag, TTag::StokesOnePThreeC>
+{
+    using Traits = StaggeredMultiDomainTraits<TypeTag, TypeTag, Properties::TTag::DarcyOnePThreeC>;
+    using type = Dumux::StokesDarcyCouplingManager<Traits>;
+};
+
+template<class TypeTag>
+struct CouplingManager<TypeTag, TTag::DarcyOnePThreeC>
+{
+    using Traits = StaggeredMultiDomainTraits<Properties::TTag::StokesOnePThreeC, Properties::TTag::StokesOnePThreeC, TypeTag>;
+    using type = Dumux::StokesDarcyCouplingManager<Traits>;
+};
+
+} // 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 StokesTypeTag = Properties::TTag::StokesOnePThreeC;
+    using DarcyTypeTag = Properties::TTag::DarcyOnePThreeC;
+
+    // try to create a grid (from the given grid file or the input file)
+    // for both sub-domains
+    using DarcyGridManager = Dumux::GridManager<GetPropType<DarcyTypeTag, Properties::Grid>>;
+    DarcyGridManager darcyGridManager;
+    darcyGridManager.init("Darcy"); // pass parameter group
+
+    using StokesGridManager = Dumux::GridManager<GetPropType<StokesTypeTag, Properties::Grid>>;
+    StokesGridManager stokesGridManager;
+    stokesGridManager.init("Stokes"); // pass parameter group
+
+    // we compute on the leaf grid view
+    const auto& darcyGridView = darcyGridManager.grid().leafGridView();
+    const auto& stokesGridView = stokesGridManager.grid().leafGridView();
+
+    // create the finite volume grid geometry
+    using StokesFVGridGeometry = GetPropType<StokesTypeTag, Properties::FVGridGeometry>;
+    auto stokesFvGridGeometry = std::make_shared<StokesFVGridGeometry>(stokesGridView);
+    stokesFvGridGeometry->update();
+    using DarcyFVGridGeometry = GetPropType<DarcyTypeTag, Properties::FVGridGeometry>;
+    auto darcyFvGridGeometry = std::make_shared<DarcyFVGridGeometry>(darcyGridView);
+    darcyFvGridGeometry->update();
+
+    using Traits = StaggeredMultiDomainTraits<StokesTypeTag, StokesTypeTag, DarcyTypeTag>;
+
+    // the coupling manager
+    using CouplingManager = StokesDarcyCouplingManager<Traits>;
+    auto couplingManager = std::make_shared<CouplingManager>(stokesFvGridGeometry, darcyFvGridGeometry);
+
+    // the indices
+    constexpr auto stokesCellCenterIdx = CouplingManager::stokesCellCenterIdx;
+    constexpr auto stokesFaceIdx = CouplingManager::stokesFaceIdx;
+    constexpr auto darcyIdx = CouplingManager::darcyIdx;
+
+    // the problems (initial and boundary conditions)
+    using StokesProblem = GetPropType<StokesTypeTag, Properties::Problem>;
+    auto stokesProblem = std::make_shared<StokesProblem>(stokesFvGridGeometry, couplingManager);
+    using DarcyProblem = GetPropType<DarcyTypeTag, Properties::Problem>;
+    auto darcyProblem = std::make_shared<DarcyProblem>(darcyFvGridGeometry, couplingManager);
+
+    // get some time loop parameters
+    using Scalar = GetPropType<StokesTypeTag, Properties::Scalar>;
+    const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+    const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+    auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+    // check if we are about to restart a previously interrupted simulation
+    Scalar restartTime = 0;
+    if (Parameters::getTree().hasKey("Restart") || Parameters::getTree().hasKey("TimeLoop.Restart"))
+        restartTime = getParam<Scalar>("TimeLoop.Restart");
+
+    // instantiate time loop
+    auto timeLoop = std::make_shared<TimeLoop<Scalar>>(restartTime, dt, tEnd);
+    timeLoop->setMaxTimeStepSize(maxDt);
+
+    // the solution vector
+    Traits::SolutionVector sol;
+    sol[stokesCellCenterIdx].resize(stokesFvGridGeometry->numCellCenterDofs());
+    sol[stokesFaceIdx].resize(stokesFvGridGeometry->numFaceDofs());
+    sol[darcyIdx].resize(darcyFvGridGeometry->numDofs());
+
+    const auto& cellCenterSol = sol[stokesCellCenterIdx];
+    const auto& faceSol = sol[stokesFaceIdx];
+
+    // apply initial solution for instationary problems
+    GetPropType<StokesTypeTag, Properties::SolutionVector> stokesSol;
+    std::get<0>(stokesSol) = cellCenterSol;
+    std::get<1>(stokesSol) = faceSol;
+    stokesProblem->applyInitialSolution(stokesSol);
+    sol[stokesCellCenterIdx] = stokesSol[stokesCellCenterIdx];
+    sol[stokesFaceIdx] = stokesSol[stokesFaceIdx];
+
+    darcyProblem->applyInitialSolution(sol[darcyIdx]);
+    auto solDarcyOld = sol[darcyIdx];
+
+    auto solOld = sol;
+
+    couplingManager->init(stokesProblem, darcyProblem, sol);
+
+    // the grid variables
+    using StokesGridVariables = GetPropType<StokesTypeTag, Properties::GridVariables>;
+    auto stokesGridVariables = std::make_shared<StokesGridVariables>(stokesProblem, stokesFvGridGeometry);
+    stokesGridVariables->init(stokesSol);
+    using DarcyGridVariables = GetPropType<DarcyTypeTag, Properties::GridVariables>;
+    auto darcyGridVariables = std::make_shared<DarcyGridVariables>(darcyProblem, darcyFvGridGeometry);
+    darcyGridVariables->init(sol[darcyIdx]);
+
+    // intialize the vtk output module
+    const auto stokesName = getParam<std::string>("Problem.Name") + "_" + stokesProblem->name();
+    const auto darcyName = getParam<std::string>("Problem.Name") + "_" + darcyProblem->name();
+
+    StaggeredVtkOutputModule<StokesGridVariables, GetPropType<StokesTypeTag, Properties::SolutionVector>> stokesVtkWriter(*stokesGridVariables, stokesSol, stokesName);
+    GetPropType<StokesTypeTag, Properties::IOFields>::initOutputModule(stokesVtkWriter);
+    stokesVtkWriter.write(0.0);
+
+    VtkOutputModule<DarcyGridVariables, GetPropType<DarcyTypeTag, Properties::SolutionVector>> darcyVtkWriter(*darcyGridVariables, sol[darcyIdx], darcyName);
+    GetPropType<DarcyTypeTag, Properties::IOFields>::initOutputModule(darcyVtkWriter);
+    darcyVtkWriter.write(0.0);
+
+    // the assembler with time loop for instationary problem
+    using Assembler = MultiDomainFVAssembler<Traits, CouplingManager, DiffMethod::numeric>;
+    auto assembler = std::make_shared<Assembler>(std::make_tuple(stokesProblem, stokesProblem, darcyProblem),
+                                                 std::make_tuple(stokesFvGridGeometry->cellCenterFVGridGeometryPtr(),
+                                                                 stokesFvGridGeometry->faceFVGridGeometryPtr(),
+                                                                 darcyFvGridGeometry),
+                                                 std::make_tuple(stokesGridVariables->cellCenterGridVariablesPtr(),
+                                                                 stokesGridVariables->faceGridVariablesPtr(),
+                                                                 darcyGridVariables),
+                                                 couplingManager,
+                                                 timeLoop);
+
+    // the linear solver
+    using LinearSolver = UMFPackBackend;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    // the non-linear solver
+    using NewtonSolver = MultiDomainNewtonSolver<Assembler, LinearSolver, CouplingManager>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver, couplingManager);
+
+    // time loop
+    timeLoop->start(); do
+    {
+        // set previous solution for storage evaluations
+        assembler->setPreviousSolution(solOld);
+
+        // solve the non-linear system with time step control
+        nonLinearSolver.solve(sol, *timeLoop);
+
+        // make the new solution the old solution
+        solOld = sol;
+        stokesGridVariables->advanceTimeStep();
+        darcyGridVariables->advanceTimeStep();
+
+        // advance to the time loop to the next step
+        timeLoop->advanceTimeStep();
+
+        // write vtk output
+        stokesVtkWriter.write(timeLoop->time());
+        darcyVtkWriter.write(timeLoop->time());
+
+        // report statistics of this time step
+        timeLoop->reportTimeStep();
+
+        // set new dt as suggested by newton solver
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+
+    } while (!timeLoop->finished());
+
+    timeLoop->finalize(stokesGridView.comm());
+    timeLoop->finalize(darcyGridView.comm());
+
+    ////////////////////////////////////////////////////////////
+    // finalize, print dumux message to say goodbye
+    ////////////////////////////////////////////////////////////
+
+    // print dumux end message
+    if (mpiHelper.rank() == 0)
+    {
+        Parameters::print();
+        DumuxMessage::print(/*firstCall=*/false);
+    }
+
+    return 0;
+} // end main
+catch (Dumux::ParameterException &e)
+{
+    std::cerr << std::endl << e << " ---> Abort!" << std::endl;
+    return 1;
+}
+catch (Dune::DGFException & e)
+{
+    std::cerr << "DGF exception thrown (" << e <<
+                 "). Most likely, the DGF file name is wrong "
+                 "or the DGF file is corrupted, "
+                 "e.g. missing hash at end of file or wrong number (dimensions) of entries."
+                 << " ---> Abort!" << std::endl;
+    return 2;
+}
+catch (Dune::Exception &e)
+{
+    std::cerr << "Dune reported error: " << e << " ---> Abort!" << std::endl;
+    return 3;
+}
+catch (...)
+{
+    std::cerr << "Unknown exception thrown! ---> Abort!" << std::endl;
+    return 4;
+}
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/params.input b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/params.input
new file mode 100644
index 0000000000000000000000000000000000000000..47a11994ecc85bf29cb3759c3e5543bb11fff6cf
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/params.input
@@ -0,0 +1,42 @@
+[TimeLoop]
+TEnd = 1e6 # s
+DtInitial = 1000 # s
+
+[Darcy.Grid]
+UpperRight = 1.0 1.0
+Cells = 20 20
+
+[Stokes.Grid]
+LowerLeft = 0.0 1.0
+UpperRight = 1.0 2.0
+Cells = 20 20
+
+[Stokes.Problem]
+Name = stokes
+Velocity = 1e-6
+Pressure = 1.0e5
+
+[Darcy.Problem]
+Name = darcy
+Pressure = 1.0e5
+InitialMoleFractionN2 = 0.2
+InitialMoleFractionCO2 = 0.3
+
+[SpatialParams]
+AlphaBeaversJoseph = 1.0
+Permeability = 1e-10 # m^2
+Porosity = 0.3
+Tortuosity = 0.5
+
+[Problem]
+Name = test_md_boundary_darcy1p3c_stokes1p3c_horizontal
+EnableGravity = false
+
+[Vtk]
+AddVelocity = 1
+
+[Newton]
+MaxRelativeShift = 1e-10
+
+[Assembly]
+NumericDifference.BaseEpsilon = 1e-8
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_darcy.hh b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_darcy.hh
new file mode 100644
index 0000000000000000000000000000000000000000..67c6761292cb46241e48714dac1a997e4444934f
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_darcy.hh
@@ -0,0 +1,280 @@
+// -*- 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 Darcy test problem using Maxwell-Stefan diffusion.
+ */
+#ifndef DUMUX_DARCY_SUBPROBLEM_ONEPTHREEC_HH
+#define DUMUX_DARCY_SUBPROBLEM_ONEPTHREEC_HH
+
+#include <dune/grid/yaspgrid.hh>
+
+#include <dumux/discretization/cellcentered/tpfa/properties.hh>
+#include <dumux/flux/maxwellstefanslaw.hh>
+
+#include <dumux/porousmediumflow/1pnc/model.hh>
+#include <dumux/porousmediumflow/problem.hh>
+
+#include "../1p2c_1p2c/spatialparams.hh"
+#include "h2n2co2fluidsystem.hh"
+
+#include <dumux/material/fluidmatrixinteractions/diffusivityconstanttortuosity.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class DarcySubProblem;
+
+namespace Properties
+{
+// Create new type tags
+namespace TTag {
+struct DarcyOnePThreeC { using InheritsFrom = std::tuple<OnePNC, CCTpfaModel>; };
+} // end namespace TTag
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::DarcyOnePThreeC> { using type = Dumux::DarcySubProblem<TypeTag>; };
+
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::DarcyOnePThreeC> { using type = FluidSystems::H2N2CO2FluidSystem<GetPropType<TypeTag, Properties::Scalar>>; };
+
+// Use moles
+template<class TypeTag>
+struct UseMoles<TypeTag, TTag::DarcyOnePThreeC> { static constexpr bool value = true; };
+
+// Do not replace one equation with a total mass balance
+template<class TypeTag>
+struct ReplaceCompEqIdx<TypeTag, TTag::DarcyOnePThreeC> { static constexpr int value = 3; };
+
+//! Use a model with constant tortuosity for the effective diffusivity
+SET_TYPE_PROP(DarcyOnePThreeC, EffectiveDiffusivityModel,
+              DiffusivityConstantTortuosity<GetPropType<TypeTag, Properties::Scalar>>);
+
+// Set the grid type
+template<class TypeTag>
+struct Grid<TypeTag, TTag::DarcyOnePThreeC> { using type = Dune::YaspGrid<2>; };
+
+//Set the diffusion type
+template<class TypeTag>
+struct MolecularDiffusionType<TypeTag, TTag::DarcyOnePThreeC> { using type = MaxwellStefansLaw<TypeTag>; };
+
+// Set the spatial paramaters type
+template<class TypeTag>
+struct SpatialParams<TypeTag, TTag::DarcyOnePThreeC>
+{
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using type = OnePSpatialParams<FVGridGeometry, Scalar>;
+};
+
+}
+
+template <class TypeTag>
+class DarcySubProblem : public PorousMediumFlowProblem<TypeTag>
+{
+    using ParentType = PorousMediumFlowProblem<TypeTag>;
+    using GridView = GetPropType<TypeTag, Properties::GridView>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
+    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
+    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
+    using FVElementGeometry = typename GetPropType<TypeTag, Properties::FVGridGeometry>::LocalView;
+    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
+
+    // copy some indices for convenience
+    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+    enum {
+        // grid and world dimension
+        dim = GridView::dimension,
+        dimworld = GridView::dimensionworld,
+
+        // primary variable indices
+        conti0EqIdx = Indices::conti0EqIdx,
+        pressureIdx = Indices::pressureIdx,
+    };
+
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
+
+public:
+    DarcySubProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry,
+                   std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry, "Darcy"), eps_(1e-7), couplingManager_(couplingManager)
+    {
+        pressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Pressure");
+        initialMoleFractionN2_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InitialMoleFractionN2");
+        initialMoleFractionCO2_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InitialMoleFractionCO2");
+    }
+
+    /*!
+     * \name Simulation steering
+     */
+    // \{
+
+    /*!
+     * \brief Returns true if a restart file should be written to
+     *        disk.
+     */
+    bool shouldWriteRestartFile() const
+    { return false; }
+
+    /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    bool shouldWriteOutput() const // define output
+    { return true; }
+
+    /*!
+     * \brief Return the temperature within the domain in [K].
+     *
+     */
+    Scalar temperature() const
+    { return 273.15 + 10; } // 10°C
+    // \}
+
+    /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+    /*!
+      * \brief Specifies which kind of boundary condition should be
+      *        used for which equation on a given boundary control volume.
+      *
+      * \param element The element
+      * \param scvf The boundary sub control volume face
+      */
+    BoundaryTypes boundaryTypes(const Element &element, const SubControlVolumeFace &scvf) const
+    {
+        BoundaryTypes values;
+        values.setAllNeumann();
+
+        if (couplingManager().isCoupledEntity(CouplingManager::darcyIdx, scvf))
+            values.setAllCouplingNeumann();
+
+
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Neumann control volume.
+     *
+     * \param element The element for which the Neumann boundary condition is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param scvf The boundary sub control volume face
+     *
+     * For this method, the \a values variable stores primary variables.
+     */
+    template<class ElementVolumeVariables>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        NumEqVector values(0.0);
+
+        if (couplingManager().isCoupledEntity(couplingManager().darcyIdx, scvf))
+            values = couplingManager().couplingData().massCouplingCondition(fvGeometry, elemVolVars, scvf, DiffusionCoefficientAveragingType::harmonic);
+
+        return values;
+    }
+
+    // \}
+
+    /*!
+     * \name Volume terms
+     */
+    // \{
+    /*!
+     * \brief Evaluate the source term for all phases within a given
+     *        sub-control-volume.
+     *
+     * \param element The element for which the source term is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param scv The subcontrolvolume
+     */
+    template<class ElementVolumeVariables>
+    NumEqVector source(const Element &element,
+                       const FVElementGeometry& fvGeometry,
+                       const ElementVolumeVariables& elemVolVars,
+                       const SubControlVolume &scv) const
+    { return NumEqVector(0.0); }
+
+    // \}
+
+    /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * \param element The element
+     *
+     * For this method, the \a priVars parameter stores primary
+     * variables.
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values(0.0);
+        values[pressureIdx] = pressure_;
+        values[conti0EqIdx + 1] = initialMoleFractionN2_;
+        values[conti0EqIdx + 2] = initialMoleFractionCO2_;
+
+        return values;
+    }
+
+    // \}
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - eps_; }
+
+    Scalar eps_;
+    Scalar pressure_;
+    Scalar initialMoleFractionN2_;
+    Scalar initialMoleFractionCO2_;
+
+
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+} //end namespace
+
+#endif //DUMUX_DARCY_SUBPROBLEM_HH
diff --git a/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_stokes.hh b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_stokes.hh
new file mode 100644
index 0000000000000000000000000000000000000000..9c2afd082cc634ec8de63597c0ba3a20e96d5d14
--- /dev/null
+++ b/test/multidomain/boundary/stokesdarcy/1p3c_1p3c/problem_stokes.hh
@@ -0,0 +1,305 @@
+// -*- 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 NavierStokesTests
+ * \brief A Navier-Stokes test problem using Maxwell-Stefan diffusion.
+ */
+#ifndef DUMUX_STOKES_SUBPROBLEM_ONEPTHREEC_HH
+#define DUMUX_STOKES_SUBPROBLEM_ONEPTHREEC_HH
+
+#include <dune/grid/yaspgrid.hh>
+
+#include "h2n2co2fluidsystem.hh"
+#include <dumux/flux/maxwellstefanslaw.hh>
+
+#include <dumux/freeflow/navierstokes/problem.hh>
+#include <dumux/discretization/staggered/freeflow/properties.hh>
+#include <dumux/freeflow/compositional/navierstokesncmodel.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class StokesSubProblem;
+
+namespace Properties
+{
+// Create new type tags
+namespace TTag {
+struct StokesOnePThreeC { using InheritsFrom = std::tuple<NavierStokesNC, StaggeredFreeFlowModel>; };
+} // end namespace TTag
+
+// Set the fluid system
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::StokesOnePThreeC> { using type = FluidSystems::H2N2CO2FluidSystem<GetPropType<TypeTag, Properties::Scalar>>; };
+
+// Set the grid type
+template<class TypeTag>
+struct Grid<TypeTag, TTag::StokesOnePThreeC> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::StokesOnePThreeC> { using type = Dumux::StokesSubProblem<TypeTag> ; };
+
+template<class TypeTag>
+struct EnableFVGridGeometryCache<TypeTag, TTag::StokesOnePThreeC> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridFluxVariablesCache<TypeTag, TTag::StokesOnePThreeC> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridVolumeVariablesCache<TypeTag, TTag::StokesOnePThreeC> { static constexpr bool value = true; };
+
+// Use moles
+template<class TypeTag>
+struct UseMoles<TypeTag, TTag::StokesOnePThreeC> { static constexpr bool value = true; };
+
+// Set the grid type
+template<class TypeTag>
+struct MolecularDiffusionType<TypeTag, TTag::StokesOnePThreeC> { using type = MaxwellStefansLaw<TypeTag>; };
+
+// Do not replace one equation with a total mass balance
+template<class TypeTag>
+struct ReplaceCompEqIdx<TypeTag, TTag::StokesOnePThreeC> { static constexpr int value = 3; };
+
+}
+
+/*!
+ * \ingroup NavierStokesTests
+ * \brief  Test problem for the 1pnc (Navier-) Stokes problem.
+ *
+ * Horizontal flow from left to right with a parabolic velocity profile.
+ */
+template <class TypeTag>
+class StokesSubProblem : public NavierStokesProblem<TypeTag>
+{
+    using ParentType = NavierStokesProblem<TypeTag>;
+    using GridView = GetPropType<TypeTag, Properties::GridView>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
+    using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>;
+    using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>;
+    using FVElementGeometry = typename FVGridGeometry::LocalView;
+    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
+    using DiffusionCoefficientAveragingType = typename StokesDarcyCouplingOptions::DiffusionCoefficientAveragingType;
+
+    using Element = typename GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+    using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>;
+
+public:
+    StokesSubProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry, std::shared_ptr<CouplingManager> couplingManager)
+    : ParentType(fvGridGeometry, "Stokes"), eps_(1e-6),
+    couplingManager_(couplingManager)
+    {
+        inletVelocity_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Velocity");
+        pressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Pressure");
+    }
+
+   /*!
+     * \name Problem parameters
+     */
+    // \{
+
+    bool shouldWriteRestartFile() const
+    { return false; }
+
+   /*!
+     * \brief Return the temperature within the domain in [K].
+     *
+     * This problem assumes a temperature of 10 degrees Celsius.
+     */
+    Scalar temperature() const
+    { return 273.15 + 10; } // 10°C
+
+   /*!
+     * \brief Return the sources within the domain.
+     *
+     * \param globalPos The global position
+     */
+    NumEqVector sourceAtPos(const GlobalPosition &globalPos) const
+    { return NumEqVector(0.0); }
+    // \}
+
+   /*!
+     * \name Boundary conditions
+     */
+    // \{
+
+    /*!
+     * \brief Specifies which kind of boundary condition should be
+     *        used for which equation on a given boundary segment.
+     *
+     * \param element The finite element
+     * \param scvf The sub control volume face
+     */
+    BoundaryTypes boundaryTypes(const Element& element,
+                                const SubControlVolumeFace& scvf) const
+    {
+        BoundaryTypes values;
+
+        const auto& globalPos = scvf.dofPosition();
+
+        if(onLeftBoundary_(globalPos))
+        {
+            values.setDirichlet(Indices::conti0EqIdx + 2);
+            values.setDirichlet(Indices::conti0EqIdx + 1);
+            values.setDirichlet(Indices::velocityXIdx);
+            values.setDirichlet(Indices::velocityYIdx);
+        }
+
+        else if(onRightBoundary_(globalPos))
+        {
+            values.setDirichlet(Indices::pressureIdx);
+            values.setOutflow(Indices::conti0EqIdx + 1);
+            values.setOutflow(Indices::conti0EqIdx + 2);
+
+        }
+        else
+        {
+            values.setDirichlet(Indices::velocityXIdx);
+            values.setDirichlet(Indices::velocityYIdx);
+            values.setNeumann(Indices::conti0EqIdx);
+            values.setNeumann(Indices::conti0EqIdx + 1);
+            values.setNeumann(Indices::conti0EqIdx + 2);
+        }
+
+        if(couplingManager().isCoupledEntity(couplingManager().stokesIdx, scvf))
+        {
+            values.setNeumann(Indices::conti0EqIdx);
+            values.setNeumann(Indices::conti0EqIdx+1);
+            values.setNeumann(Indices::conti0EqIdx+2);
+            values.setNeumann(Indices::momentumYBalanceIdx);
+            values.setBJS(Indices::velocityXIdx);
+        }
+
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Dirichlet control volume.
+     *
+     * \param element The element
+     * \param scvf The sub control volume face
+     */
+    PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+    {
+        PrimaryVariables values(0.0);
+        values = initialAtPos(globalPos);
+        return values;
+    }
+
+    /*!
+     * \brief Evaluate the boundary conditions for a Neumann control volume.
+     *
+     * \param element The element for which the Neumann boundary condition is set
+     * \param fvGeomentry The fvGeometry
+     * \param elemVolVars The element volume variables
+     * \param elemFaceVars The element face variables
+     * \param scvf The boundary sub control volume face
+     */
+    template<class ElementVolumeVariables, class ElementFaceVariables>
+    NumEqVector neumann(const Element& element,
+                        const FVElementGeometry& fvGeometry,
+                        const ElementVolumeVariables& elemVolVars,
+                        const ElementFaceVariables& elemFaceVars,
+                        const SubControlVolumeFace& scvf) const
+    {
+        NumEqVector values(0.0);
+
+        if(couplingManager().isCoupledEntity(couplingManager().stokesIdx, scvf))
+        {
+            values[Indices::momentumYBalanceIdx] = couplingManager().couplingData().momentumCouplingCondition(fvGeometry, elemVolVars, elemFaceVars, scvf);
+
+            const auto tmp = couplingManager().couplingData().massCouplingCondition(fvGeometry, elemVolVars, elemFaceVars, scvf, DiffusionCoefficientAveragingType::harmonic);
+            values[Indices::conti0EqIdx] = tmp[0];
+            values[Indices::conti0EqIdx + 1] = tmp[1];
+            values[Indices::conti0EqIdx + 2] = tmp[2];
+        }
+        return values;
+    }
+
+    // \}
+
+    //! Get the coupling manager
+    const CouplingManager& couplingManager() const
+    { return *couplingManager_; }
+
+   /*!
+     * \name Volume terms
+     */
+    // \{
+
+   /*!
+     * \brief Evaluate the initial value for a control volume.
+     *
+     * \param globalPos The global position
+     */
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values(0.0);
+        values[Indices::pressureIdx] = pressure_;
+        values[Indices::velocityXIdx] = inletVelocity_ * (globalPos[1] - this->fvGridGeometry().bBoxMin()[1])
+                                              * (this->fvGridGeometry().bBoxMax()[1] - globalPos[1])
+                                              / (0.25 * (this->fvGridGeometry().bBoxMax()[1] - this->fvGridGeometry().bBoxMin()[1])
+                                              * (this->fvGridGeometry().bBoxMax()[1] - this->fvGridGeometry().bBoxMin()[1]));
+        return values;
+    }
+
+    /*!
+     * \brief Returns the intrinsic permeability of required as input parameter for the Beavers-Joseph-Saffman boundary condition
+     */
+    Scalar permeability(const SubControlVolumeFace& scvf) const
+    {
+        return couplingManager().couplingData().darcyPermeability(scvf);
+    }
+
+    /*!
+     * \brief Returns the alpha value required as input parameter for the Beavers-Joseph-Saffman boundary condition
+     */
+    Scalar alphaBJ(const SubControlVolumeFace& scvf) const
+    {
+        return 1.0;
+    }
+
+   // \}
+
+private:
+    bool onLeftBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_; }
+
+    bool onRightBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_; }
+
+    bool onLowerBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + eps_; }
+
+    bool onUpperBoundary_(const GlobalPosition &globalPos) const
+    { return globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - eps_; }
+
+    Scalar eps_;
+    Scalar inletVelocity_;
+    Scalar pressure_;
+    std::shared_ptr<CouplingManager> couplingManager_;
+};
+} //end namespace
+
+#endif // DUMUX_STOKES_SUBPROBLEM_HH
diff --git a/test/multidomain/boundary/stokesdarcy/CMakeLists.txt b/test/multidomain/boundary/stokesdarcy/CMakeLists.txt
index cecd183f7e86a45cb4c8ee5747eb04c7097e6868..bbce0ab084c258d4a6f01864fc0533be7fd11c3b 100644
--- a/test/multidomain/boundary/stokesdarcy/CMakeLists.txt
+++ b/test/multidomain/boundary/stokesdarcy/CMakeLists.txt
@@ -1,4 +1,5 @@
 add_subdirectory("1p_1p")
 add_subdirectory("1p_2p")
 add_subdirectory("1p2c_1p2c")
+add_subdirectory("1p3c_1p3c")
 add_subdirectory("1p2c_2p2c")
diff --git a/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-reference.vtu b/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..c4f30a42ef3ae4e2ca6d56dc0887a74a84cd4d5d
--- /dev/null
+++ b/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_darcy-reference.vtu
@@ -0,0 +1,658 @@
+<?xml version="1.0"?>
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diff --git a/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-reference.vtu b/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..711dd62a313269ee785e727603ef6e2bd7f6f63f
--- /dev/null
+++ b/test/references/test_md_boundary_darcy1p2c_stokes1p2c_comparison_stokes-reference.vtu
@@ -0,0 +1,760 @@
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diff --git a/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_darcy-reference.vtu b/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_darcy-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..7e6805cba078c7e3159847658a435160c729367e
--- /dev/null
+++ b/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_darcy-reference.vtu
@@ -0,0 +1,730 @@
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diff --git a/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_stokes-reference.vtu b/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_stokes-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..60d7e0cb66e79a5d79d7e1757b032d4715056097
--- /dev/null
+++ b/test/references/test_md_boundary_darcy1p3c_stokes1p3c_horizontal_stokes-reference.vtu
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