diff --git a/dumux/freeflow/rans/twoeq/kepsilon/model.hh b/dumux/freeflow/rans/twoeq/kepsilon/model.hh
index 94f28bb80e95c47c06da955593dfaa59d3c3ae18..a280b4c2c0c402345c1a583af66a6c68214b54b7 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/model.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/model.hh
@@ -26,55 +26,38 @@
  *
  * The k-epsilon models calculate the eddy viscosity with two additional PDEs,
  * one for the turbulent kinetic energy (k) and for the dissipation (\f$ \varepsilon \f$).
- * \todo fix everything below here
- * The model uses the one proposed by Chien \cite Chien1982a.
- * A good overview and additional models are given in Patel et al. \cite Patel1985a.
- *
- * The turbulent kinetic energy balance is identical with the one from the k-epsilon model,
- * but the dissipation includes a dampening function (\f$ D_\varepsilon \f$):
- * \f$ \varepsilon = \tilde{\varepsilon} + D_\varepsilon \f$:
+ * The model uses the one proposed by Launder and Sharma \cite Launder1994a.
  *
+ * The turbulent kinetic energy balance is:
  * \f[
  *    \frac{\partial \left( k \right)}{\partial t}
  *    + \nabla \cdot \left( \textbf{v} k \right)
  *    - \nabla \cdot \left( \left( \nu + \frac{\nu_\text{t}}{\sigma_\text{k}} \right) \nabla k \right)
  *    - 2 \nu_\text{t} \textbf{S} \cdot \textbf{S}
- *    + \tilde{\varepsilon}
- *    + D_\varepsilon
+ *    + \varepsilon
  *    = 0
  * \f].
  *
- * The dissipation balance is changed by introducing additional functions
- * (\f$ E_\text{k}\f$, \f$ f_1 \f$, and \f$ f_2 \f$) to account for a dampening towards the wall:
+ * The dissipation balance is:
  * \f[
- *   \frac{\partial \left( \tilde{\varepsilon} \right)}{\partial t}
- *   + \nabla \cdot \left( \textbf{v} \tilde{\varepsilon} \right)
- *   - \nabla \cdot \left( \left( \nu + \frac{\nu_\text{t}}{\sigma_{\varepsilon}} \right) \nabla \tilde{\varepsilon} \right)
- *   - C_{1\tilde{\varepsilon}} f_1 \frac{\tilde{\varepsilon}}{k} 2 \nu_\text{t} \textbf{S} \cdot \textbf{S}
- *   + C_{2\tilde{\varepsilon}} f_2 \frac{\tilde{\varepsilon}^2}{k}
- *   - E_\text{k}
+ *   \frac{\partial \left( \varepsilon \right)}{\partial t}
+ *   + \nabla \cdot \left( \textbf{v} \varepsilon \right)
+ *   - \nabla \cdot \left( \left( \nu + \frac{\nu_\text{t}}{\sigma_{\varepsilon}} \right) \nabla \varepsilon \right)
+ *   - C_{1\varepsilon} \frac{\varepsilon}{k} 2 \nu_\text{t} \textbf{S} \cdot \textbf{S}
+ *   + C_{2\varepsilon} \frac{\varepsilon^2}{k}
  *   = 0
  * \f].
  *
- * The kinematic eddy viscosity \f$ \nu_\text{t} \f$ is dampened by \f$ f_\mu \f$:
+ * The kinematic eddy viscosity \f$ \nu_\text{t} \f$ is:
  * \f[
- * \nu_\text{t} = C_\mu f_\mu \frac{k^2}{\tilde{\varepsilon}}
+ * \nu_\text{t} = C_\mu \frac{k^2}{\tilde{\varepsilon}}
  * \f].
  *
- * The auxiliary and dampening functions are defined as:
- * \f[ D_\varepsilon = 2 \nu \nicefrac{k}{y^2} \f]
- * \f[ E_\text{k} = -2 \nu \frac{\tilde{\varepsilon}}{y^2} \exp \left( -0.5 y^+ \right) \f]
- * \f[ f_1 = 1 \f]
- * \f[ f_2 = 1 - 0.22 \exp \left( - \left( \frac{\mathit{Re}_\text{t}}{6} \right)^2 \right) \f]
- * \f[ f_\mu = 1 - \exp \left( -0.0115 y^+ \right) \f]
- * \f[ \mathit{Re}_\text{t} = \frac{k^2}{\nu \tilde{\varepsilon}} \f]
- * .
- *
  * Finally, the model is closed with the following constants:
  * \f[ \sigma_\text{k} = 1.00 \f]
  * \f[ \sigma_\varepsilon =1.30 \f]
- * \f[ C_{1\tilde{\varepsilon}} = 1.35 \f]
- * \f[ C_{2\tilde{\varepsilon}} = 1.80 \f]
+ * \f[ C_{1\varepsilon} = 1.44 \f]
+ * \f[ C_{2\varepsilon} = 1.92 \f]
  * \f[ C_\mu = 0.09 \f]
  */
 
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/problem.hh b/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
index db306e02dacf71993ca0d027952978715c763921..ee092ba00ddb66de34a57cd7ee48380596dcf70b 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
@@ -65,7 +65,8 @@ public:
     KEpsilonProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
     : ParentType(fvGridGeometry)
     {
-        useStoredEddyViscosity_ = getParamFromGroup<bool>(this->paramGroup(), "RANS.UseStoredEddyViscosity", true);
+        yPlusThreshold_ = getParamFromGroup<Scalar>(this->paramGroup(), "KEpsilon.YPlusThreshold", 30);
+        useStoredEddyViscosity_ = getParamFromGroup<bool>(this->paramGroup(), "RANS.UseStoredEddyViscosity", false);
     }
 
     /*!
@@ -76,9 +77,12 @@ public:
         ParentType::updateStaticWallProperties();
 
         // update size and initial values of the global vectors
-        storedDissipationTilde_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
-        storedDynamicEddyViscosity_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
+        matchingPointID_.resize(this->fvGridGeometry().elementMapper().size(), 0);
+        storedDensity_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
+        storedDissipation_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
         storedTurbulentKineticEnergy_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
+        storedDynamicEddyViscosity_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
+        zeroEqDynamicEddyViscosity_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
     }
 
     /*!
@@ -90,6 +94,7 @@ public:
     {
         ParentType::updateDynamicWallProperties(curSol);
 
+        // update the stored eddy viscosities
         for (const auto& element : elements(this->fvGridGeometry().gridView()))
         {
             unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
@@ -103,21 +108,166 @@ public:
                 PrimaryVariables priVars = makePriVarsFromCellCenterPriVars<PrimaryVariables>(cellCenterPriVars);
                 auto elemSol = elementSolution<typename FVGridGeometry::LocalView>(std::move(priVars));
                 // NOTE: first update the turbulence quantities
-                storedDissipationTilde_[elementID] = elemSol[0][Indices::dissipationEqIdx];
+                storedDissipation_[elementID] = elemSol[0][Indices::dissipationEqIdx];
                 storedTurbulentKineticEnergy_[elementID] = elemSol[0][Indices::turbulentKineticEnergyEqIdx];
                 // NOTE: then update the volVars
                 VolumeVariables volVars;
                 volVars.update(elemSol, asImp_(), element, scv);
                 storedDynamicEddyViscosity_[elementID] = volVars.calculateEddyViscosity();
+                storedDensity_[elementID] = volVars.density();
+            }
+        }
+
+        // get matching point for k-epsilon wall function
+        unsigned int numElementsInWallRegion = 0;
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
+            unsigned int wallNormalAxis = asImp_().wallNormalAxis_[elementID];
+            unsigned int neighborID0 = asImp_().neighborID_[elementID][wallNormalAxis][0];
+            unsigned int neighborID1 = asImp_().neighborID_[elementID][wallNormalAxis][1];
+            numElementsInWallRegion = inNearWallRegion(elementID) ? numElementsInWallRegion + 1 : numElementsInWallRegion + 0;
+            if ((inNearWallRegion(elementID) && (inNearWallRegion(neighborID0) != inNearWallRegion(neighborID1)))
+                || (inNearWallRegion(elementID) && (asImp_().wallElementID_[neighborID0] != asImp_().wallElementID_[neighborID1]))
+                || (elementID == asImp_().wallElementID_[elementID] && (!inNearWallRegion(neighborID0) || !inNearWallRegion(neighborID1))))
+            {
+                matchingPointID_[asImp_().wallElementID_[elementID]] = elementID;
+            }
+        }
+        std::cout << "numElementsInWallRegion: " << numElementsInWallRegion << std::endl;
+
+        // calculate the potential zeroeq eddy viscosities for two-layer model
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
+            zeroEqDynamicEddyViscosity_[elementID] = zeroEqEddyViscosityModel(elementID);
+        }
+
+        // then make them match at the matching point
+        static const auto enableZeroEqScaling
+            = getParamFromGroup<bool>(this->paramGroup(), "KEpsilon.EnableZeroEqScaling", true);
+        if (enableZeroEqScaling)
+        {
+            for (const auto& element : elements(this->fvGridGeometry().gridView()))
+            {
+                unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
+                unsigned int matchingPointID = matchingPointID_[asImp_().wallElementID_[elementID]];
+
+                Scalar scalingFactor = storedDynamicEddyViscosity_[matchingPointID]
+                                       / zeroEqDynamicEddyViscosity_[matchingPointID];
+                if (!isMatchingPoint(elementID)
+                    && !std::isnan(scalingFactor) && !std::isinf(scalingFactor))
+                {
+                    zeroEqDynamicEddyViscosity_[elementID] *= scalingFactor;
+                }
+            }
+            for (const auto& element : elements(this->fvGridGeometry().gridView()))
+            {
+                unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
+                unsigned int matchingPointID = matchingPointID_[asImp_().wallElementID_[elementID]];
+                if (isMatchingPoint(elementID))
+                {
+                    zeroEqDynamicEddyViscosity_[matchingPointID] = storedDynamicEddyViscosity_[matchingPointID];
+                }
             }
         }
     }
 
+    /*!
+     * \brief Returns if an element is located in the near-wall region
+     */
+    const bool inNearWallRegion(unsigned int elementID) const
+    { return yPlus(elementID) < yPlusThreshold_; }
+
+    /*!
+     * \brief Returns if an element is the matching point
+     */
+    const bool isMatchingPoint(unsigned int elementID) const
+    { return matchingPointID_[asImp_().wallElementID_[elementID]] == elementID; }
+
+    /*!
+     * \brief Returns the \f$ y^+ \f$ value at an element center
+     */
+    const Scalar yPlus(unsigned int elementID) const
+    {
+        return asImp_().wallDistance_[elementID] * uStar(elementID)
+               / asImp_().kinematicViscosity_[elementID];
+    }
+
+    /*!
+     * \brief Returns the kinematic eddy viscosity of a 0-Eq. model
+     */
+    const Scalar zeroEqEddyViscosityModel(unsigned int elementID) const
+    {
+        using std::abs;
+        using std::exp;
+        using std::sqrt;
+
+        // use VanDriest's model
+        Scalar yPlusValue = yPlus(elementID);
+        Scalar mixingLength = 0.0;
+        if (yPlusValue > 0.0)
+        {
+            mixingLength = asImp_().karmanConstant() * asImp_().wallDistance_[elementID]
+                           * (1.0 - exp(-yPlusValue / 26.0 ))
+                           / sqrt(1.0 - exp(-0.26 * yPlusValue));
+        }
+
+        unsigned int wallNormalAxis = asImp_().wallNormalAxis_[elementID];
+        unsigned int flowNormalAxis = asImp_().flowNormalAxis_[elementID];
+        Scalar velocityGradient = asImp_().velocityGradients_[elementID][flowNormalAxis][wallNormalAxis];
+        return mixingLength * mixingLength * abs(velocityGradient) * storedDensity_[elementID];
+    }
+
+    //! \brief Returns the wall shear stress velocity
+    const Scalar uStar(unsigned int elementID) const
+    {
+        using std::abs;
+        using std::sqrt;
+        unsigned int wallElementID = asImp_().wallElementID_[elementID];
+        unsigned int wallNormalAxis = asImp_().wallNormalAxis_[elementID];
+        unsigned int flowNormalAxis = asImp_().flowNormalAxis_[elementID];
+        return sqrt(asImp_().kinematicViscosity_[wallElementID]
+                    * abs(asImp_().velocityGradients_[wallElementID][flowNormalAxis][wallNormalAxis]));
+    }
+
+    //! \brief Returns the nominal wall shear stress velocity (accounts for poor approximation of viscous sublayer)
+    const Scalar uStarNominal(unsigned int elementID) const
+    {
+        using std::max;
+        using std::pow;
+        using std::sqrt;
+        unsigned int matchingPointID = matchingPointID_[asImp_().wallElementID_[elementID]];
+        return pow(0.09/*c_mu*/, 0.25)
+               * sqrt(max(storedTurbulentKineticEnergy_[matchingPointID],1e-8));
+    }
+
+    /*!
+     * \brief Returns the dissipation calculated from the wall function consideration
+     */
+    const Scalar dissipationWallFunction(unsigned int elementID) const
+    {
+        return uStarNominal(elementID) * uStarNominal(elementID) * uStarNominal(elementID)
+               / asImp_().karmanConstant() / asImp_().wallDistance_[elementID];
+    }
+
+    /*!
+     * \brief Returns the turbulentKineticEnergy calculated from the wall function consideration
+     */
+    const Scalar turbulentKineticEnergyWallFunction(unsigned int elementID) const
+    {
+        return storedTurbulentKineticEnergy_[elementID];
+    }
+
 public:
-    std::vector<Scalar> storedDissipationTilde_;
-    std::vector<Scalar> storedDynamicEddyViscosity_;
+    std::vector<unsigned int> matchingPointID_;
+    std::vector<Scalar> storedDensity_;
+    std::vector<Scalar> storedDissipation_;
     std::vector<Scalar> storedTurbulentKineticEnergy_;
+    std::vector<Scalar> storedDynamicEddyViscosity_;
+    std::vector<Scalar> zeroEqDynamicEddyViscosity_;
     bool useStoredEddyViscosity_;
+    Scalar yPlusThreshold_;
 
 private:
     //! Returns the implementation of the problem (i.e. static polymorphism)
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh b/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
index 157ab58f3d49992823e77ca6e1cba9943d1df7f0..a0d9a65c8c6810967000a985aacbdba349e3257a 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
@@ -71,10 +71,8 @@ class KEpsilonFluxVariablesImpl<TypeTag, BaseFluxVariables, DiscretizationMethod
     using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
     using CellCenterPrimaryVariables = typename GET_PROP_TYPE(TypeTag, CellCenterPrimaryVariables);
 
-    enum {
-        turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx,
-        dissipationEqIdx = Indices::dissipationEqIdx,
-    };
+    static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
+    static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - ModelTraits::dim();
 
 public:
 
@@ -99,12 +97,12 @@ public:
         };
         auto upwindTermEpsilon = [](const auto& volVars)
         {
-            return volVars.dissipationTilde();
+            return volVars.dissipation();
         };
 
-        flux[turbulentKineticEnergyEqIdx - ModelTraits::dim()]
+        flux[turbulentKineticEnergyEqIdx]
             = ParentType::advectiveFluxForCellCenter(problem, elemVolVars, elemFaceVars, scvf, upwindTermK);
-        flux[dissipationEqIdx - ModelTraits::dim()]
+        flux[dissipationEqIdx ]
             = ParentType::advectiveFluxForCellCenter(problem, elemVolVars, elemFaceVars, scvf, upwindTermEpsilon);
 
         // calculate diffusive flux
@@ -114,14 +112,19 @@ public:
         const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
 
         // effective diffusion coefficients
-        Scalar insideCoeff_k = insideVolVars.kinematicViscosity()
-                               + insideVolVars.kinematicEddyViscosity() / insideVolVars.sigmaK();
-        Scalar outsideCoeff_k = outsideVolVars.kinematicViscosity()
-                                + outsideVolVars.kinematicEddyViscosity() / outsideVolVars.sigmaK();
-        Scalar insideCoeff_e = insideVolVars.kinematicViscosity()
-                               + insideVolVars.kinematicEddyViscosity() / insideVolVars.sigmaEpsilon();
-        Scalar outsideCoeff_e = outsideVolVars.kinematicViscosity()
-                                + outsideVolVars.kinematicEddyViscosity() / outsideVolVars.sigmaEpsilon();
+        Scalar insideCoeff_k = insideVolVars.kinematicEddyViscosity() / insideVolVars.sigmaK();
+        Scalar outsideCoeff_k = outsideVolVars.kinematicEddyViscosity() / outsideVolVars.sigmaK();
+        Scalar insideCoeff_e = insideVolVars.kinematicEddyViscosity() / insideVolVars.sigmaEpsilon();
+        Scalar outsideCoeff_e = outsideVolVars.kinematicEddyViscosity() / outsideVolVars.sigmaEpsilon();
+        static const auto kEpsilonEnableKinematicViscosity_
+            = getParamFromGroup<bool>(problem.paramGroup(), "KEpsilon.EnableKinematicViscosity_", true);
+        if (kEpsilonEnableKinematicViscosity_)
+        {
+            insideCoeff_k += insideVolVars.kinematicViscosity();
+            outsideCoeff_k += outsideVolVars.kinematicViscosity();
+            insideCoeff_e += insideVolVars.kinematicViscosity();
+            outsideCoeff_e += outsideVolVars.kinematicViscosity();
+        }
 
         // scale by extrusion factor
         insideCoeff_k *= insideVolVars.extrusionFactor();
@@ -147,20 +150,24 @@ public:
         }
 
         const auto bcTypes = problem.boundaryTypes(element, scvf);
-        if (!(scvf.boundary() && (bcTypes.isOutflow(turbulentKineticEnergyEqIdx)
+        if (!(scvf.boundary() && (bcTypes.isOutflow(Indices::turbulentKineticEnergyEqIdx)
                                   || bcTypes.isSymmetry())))
         {
-            flux[turbulentKineticEnergyEqIdx - ModelTraits::dim()]
-                += coeff_k / distance
-                   * (insideVolVars.turbulentKineticEnergy() - outsideVolVars.turbulentKineticEnergy())
-                   * scvf.area();
+            if (!insideVolVars.inNearWallRegion()
+                || !insideVolVars.inNearWallRegion())
+            {
+                flux[turbulentKineticEnergyEqIdx]
+                    += coeff_k / distance
+                       * (insideVolVars.turbulentKineticEnergy() - outsideVolVars.turbulentKineticEnergy())
+                       * scvf.area();
+            }
         }
-        if (!(scvf.boundary() && (bcTypes.isOutflow(dissipationEqIdx)
+        if (!(scvf.boundary() && (bcTypes.isOutflow(Indices::dissipationEqIdx)
                                   || bcTypes.isSymmetry())))
         {
-            flux[dissipationEqIdx - ModelTraits::dim()]
+            flux[dissipationEqIdx]
                 += coeff_e / distance
-                   * (insideVolVars.dissipationTilde() - outsideVolVars.dissipationTilde())
+                   * (insideVolVars.dissipation() - outsideVolVars.dissipation())
                    * scvf.area();
         }
         return flux;
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh b/dumux/freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh
index 608a0274b54a28d546ca8f8bb5ca5cf244ae799e..da157afdc35d36f128d871b1b1f61aedf140392c 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh
@@ -44,6 +44,7 @@ class KEpsilonResidualImpl<TypeTag, BaseLocalResidual, DiscretizationMethod::sta
 : public BaseLocalResidual
 {
     using ParentType = BaseLocalResidual;
+    friend class StaggeredLocalResidual<TypeTag>;
 
     using GridVariables = typename GET_PROP_TYPE(TypeTag, GridVariables);
 
@@ -69,9 +70,18 @@ class KEpsilonResidualImpl<TypeTag, BaseLocalResidual, DiscretizationMethod::sta
     using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
     using ModelTraits = typename GET_PROP_TYPE(TypeTag, ModelTraits);
 
+    using CellCenterResidual = CellCenterPrimaryVariables;
+
+    static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
+    static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - ModelTraits::dim();
+
 public:
     using ParentType::ParentType;
 
+    // account for the offset of the cell center privars within the PrimaryVariables container
+    static constexpr auto cellCenterOffset = ModelTraits::numEq() - CellCenterPrimaryVariables::dimension;
+    static_assert(cellCenterOffset == ModelTraits::dim(), "cellCenterOffset must equal dim for staggered NavierStokes");
+
     //! Evaluate fluxes entering or leaving the cell center control volume.
     CellCenterPrimaryVariables computeStorageForCellCenter(const Problem& problem,
                                                            const SubControlVolume& scv,
@@ -79,10 +89,8 @@ public:
     {
         CellCenterPrimaryVariables storage = ParentType::computeStorageForCellCenter(problem, scv, volVars);
 
-        static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
-        static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - ModelTraits::dim();
         storage[turbulentKineticEnergyEqIdx] = volVars.turbulentKineticEnergy();
-        storage[dissipationEqIdx] = volVars.dissipationTilde();
+        storage[dissipationEqIdx] = volVars.dissipation();
 
         return storage;
     }
@@ -98,30 +106,73 @@ public:
                                                                                    elemVolVars, elemFaceVars, scv);
 
         const auto& volVars = elemVolVars[scv];
-
-        static constexpr int turbulentKineticEnergyEqIdx = Indices::turbulentKineticEnergyEqIdx - ModelTraits::dim();
-        static constexpr int dissipationEqIdx = Indices::dissipationEqIdx - ModelTraits::dim();
+        unsigned int elementID = problem.fvGridGeometry().elementMapper().index(element);
+        Scalar turbulentKineticEnergy = volVars.turbulentKineticEnergy();
+        Scalar dissipation = volVars.dissipation();
 
         // production
-        source[turbulentKineticEnergyEqIdx] += 2.0 * volVars.kinematicEddyViscosity()
-                                               * volVars.stressTensorScalarProduct();
-        source[dissipationEqIdx] += volVars.cOneEpsilon() * volVars.fOne()
-                                    * volVars.dissipationTilde() / volVars.turbulentKineticEnergy()
+        // turbulence production is equal to dissipation -> exclude both terms (according to local equilibrium hypothesis, see FLUENT)
+        if (!problem.isMatchingPoint(elementID))
+        {
+            source[turbulentKineticEnergyEqIdx] += 2.0 * volVars.kinematicEddyViscosity()
+                                                   * volVars.stressTensorScalarProduct();
+        }
+        source[dissipationEqIdx] += volVars.cOneEpsilon()
+                                    * dissipation / turbulentKineticEnergy
                                     * 2.0 * volVars.kinematicEddyViscosity()
                                     * volVars.stressTensorScalarProduct();
 
         // destruction
-        source[turbulentKineticEnergyEqIdx] -= volVars.dissipationTilde();
-        source[dissipationEqIdx] -= volVars.cTwoEpsilon() * volVars.fTwo()
-                                    * volVars.dissipationTilde() * volVars.dissipationTilde()
-                                    / volVars.turbulentKineticEnergy();
-
-        // dampening functions
-        source[turbulentKineticEnergyEqIdx] -= volVars.dValue();
-        source[dissipationEqIdx] += volVars.eValue();
+        // turbulence production is equal to dissipation -> exclude both terms (according to local equilibrium hypothesis, see FLUENT)
+        if (!problem.isMatchingPoint(elementID))
+        {
+            source[turbulentKineticEnergyEqIdx] -= dissipation;
+        }
+        source[dissipationEqIdx] -= volVars.cTwoEpsilon()
+                                    * dissipation * dissipation
+                                    / turbulentKineticEnergy;
 
         return source;
     }
+
+protected:
+     /*!
+      * \brief Evaluate boundary conditions for a cell center dof
+      */
+    template<class ElementBoundaryTypes>
+    void evalBoundaryForCellCenter_(CellCenterResidual& residual,
+                                    const Problem& problem,
+                                    const Element& element,
+                                    const FVElementGeometry& fvGeometry,
+                                    const ElementVolumeVariables& elemVolVars,
+                                    const ElementFaceVariables& elemFaceVars,
+                                    const ElementBoundaryTypes& elemBcTypes,
+                                    const ElementFluxVariablesCache& elemFluxVarsCache) const
+    {
+        BaseLocalResidual::evalBoundaryForCellCenter_(residual, problem, element, fvGeometry,
+                                                      elemVolVars, elemFaceVars, elemBcTypes, elemFluxVarsCache);
+        for (auto&& scvf : scvfs(fvGeometry))
+        {
+            unsigned int elementID = problem.fvGridGeometry().elementMapper().index(element);
+            const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
+            const auto& insideVolVars = elemVolVars[insideScv];
+
+            // fixed value for the turbulent kinetic energy
+            if(problem.inNearWallRegion(elementID) && !problem.isMatchingPoint(elementID))
+            {
+//                 unsigned int matchingPointID = problem.matchingPointID_[elementID];
+                residual[Indices::turbulentKineticEnergyEqIdx - cellCenterOffset]
+                    = insideVolVars.turbulentKineticEnergy() - problem.turbulentKineticEnergyWallFunction(elementID);
+            }
+
+            // fixed value for the dissipation
+            if(problem.inNearWallRegion(elementID))
+            {
+                residual[Indices::dissipationEqIdx - cellCenterOffset]
+                    = insideVolVars.dissipation() - problem.dissipationWallFunction(elementID);
+            }
+        }
+    }
 };
 }
 
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/volumevariables.hh b/dumux/freeflow/rans/twoeq/kepsilon/volumevariables.hh
index 83fa48cc592d7f660a1d9b5175ae63f553663cbc..7f5e1bbad4b9160b12bd90861336c493f3bd77e2 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/volumevariables.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/volumevariables.hh
@@ -93,15 +93,21 @@ public:
                               const SubControlVolume& scv)
     {
         RANSParentType::updateRANSProperties(elemSol, problem, element, scv);
+        isMatchingPoint_ = problem.isMatchingPoint(RANSParentType::elementID());
+        inNearWallRegion_ = problem.inNearWallRegion(RANSParentType::elementID());
         turbulentKineticEnergy_ = elemSol[0][Indices::turbulentKineticEnergyIdx];
-        dissipationTilde_ = elemSol[0][Indices::dissipationIdx];
-        storedDissipationTilde_ = problem.storedDissipationTilde_[RANSParentType::elementID()];
+        dissipation_ = elemSol[0][Indices::dissipationIdx];
+        storedDissipation_ = problem.storedDissipation_[RANSParentType::elementID()];
         storedTurbulentKineticEnergy_ = problem.storedTurbulentKineticEnergy_[RANSParentType::elementID()];
         stressTensorScalarProduct_ = problem.stressTensorScalarProduct_[RANSParentType::elementID()];
         if (problem.useStoredEddyViscosity_)
             dynamicEddyViscosity_ = problem.storedDynamicEddyViscosity_[RANSParentType::elementID()];
         else
             dynamicEddyViscosity_ = calculateEddyViscosity();
+        if (inNearWallRegion_ && !isMatchingPoint_)
+        {
+            dynamicEddyViscosity_ = problem.zeroEqDynamicEddyViscosity_[RANSParentType::elementID()];
+        }
         calculateEddyDiffusivity(problem);
     }
 
@@ -134,8 +140,8 @@ public:
      */
     Scalar calculateEddyViscosity()
     {
-        return cMu() * fMu() * turbulentKineticEnergy() * turbulentKineticEnergy()
-               / dissipationTilde() *  NavierStokesParentType::density();
+        return cMu() * turbulentKineticEnergy() * turbulentKineticEnergy()
+               / dissipation() *  NavierStokesParentType::density();
     }
 
     /*!
@@ -162,9 +168,9 @@ public:
     /*!
      * \brief Returns an effective dissipation \f$ m^2/s^3 \f$
      */
-    Scalar dissipationTilde() const
+    Scalar dissipation() const
     {
-        return dissipationTilde_;
+        return dissipation_;
     }
 
     /*!
@@ -178,9 +184,9 @@ public:
     /*!
      * \brief Returns an effective dissipation \f$ m^2/s^3 \f$
      */
-    Scalar storedDissipationTilde() const
+    Scalar storedDissipation() const
     {
-        return storedDissipationTilde_;
+        return storedDissipation_;
     }
 
     /*!
@@ -191,19 +197,20 @@ public:
         return stressTensorScalarProduct_;
     }
 
-    //! \brief Returns the \$f Re_\textrm{T} \$f value
-    const Scalar reT() const
+    /*
+     * \brief Returns if an element is located in the near-wall region
+     */
+    bool inNearWallRegion() const
     {
-        return turbulentKineticEnergy() * turbulentKineticEnergy()
-               / RANSParentType::kinematicViscosity() / dissipationTilde();
+        return inNearWallRegion_;
     }
 
-    //! \brief Returns the \$f Re_\textrm{y} \$f value
-    const Scalar reY() const
+    /*!
+     * \brief Returns if an element is the matching point
+     */
+    Scalar isMatchingPoint() const
     {
-        using std::sqrt;
-        return sqrt(turbulentKineticEnergy()) * RANSParentType::wallDistance()
-               / RANSParentType::kinematicViscosity();
+        return isMatchingPoint_;
     }
 
     //! \brief Returns the \$f C_\mu \$f constant
@@ -218,48 +225,13 @@ public:
     const Scalar sigmaEpsilon() const
     { return 1.3; }
 
-    //! \brief Returns the \$f C_{1\tilde{\varepsilon}}  \$f constant
+    //! \brief Returns the \$f C_{1\varepsilon}  \$f constant
     const Scalar cOneEpsilon() const
-    { return 1.35; }
+    { return 1.44; }
 
-    //! \brief Returns the \$f C_{2\tilde{\varepsilon}} \$f constant
+    //! \brief Returns the \$f C_{2\varepsilon} \$f constant
     const Scalar cTwoEpsilon() const
-    { return 1.8; }
-
-    //! \brief Returns the \$f D \$f value
-    const Scalar dValue() const
-    {
-        return 2.0 * RANSParentType::kinematicViscosity() * turbulentKineticEnergy()
-               / RANSParentType::wallDistance() / RANSParentType::wallDistance();
-    }
-
-    //! \brief Returns the \$f f_\mu \$f value
-    const Scalar fMu() const
-    {
-        using std::exp;
-        using std::pow;
-        return 1.0 - exp(-0.0115 * RANSParentType::yPlus());
-    }
-
-    //! \brief Returns the \$f f_1 \$f value
-    const Scalar fOne() const
-    { return 1.0; }
-
-    //! \brief Returns the \$f f_2 \$f value
-    const Scalar fTwo() const
-    {
-        using std::exp;
-        return 1.0 - 0.22 * exp(-1.0 * (reT() * reT() / 6.0 / 6.0));
-    }
-
-    //! \brief Returns the \$f E \$f value
-    const Scalar eValue() const
-    {
-        using std::exp;
-        return -2.0 * RANSParentType::kinematicViscosity() * dissipationTilde()
-                / RANSParentType::wallDistance() / RANSParentType::wallDistance()
-                * exp(-0.5 * RANSParentType::yPlus());
-    }
+    { return 1.92; }
 
     /*!
      * \brief Returns the eddy diffusivity \f$\mathrm{[m^2/s]}\f$
@@ -282,10 +254,12 @@ protected:
     Scalar dynamicEddyViscosity_;
     Scalar eddyDiffusivity_;
     Scalar turbulentKineticEnergy_;
-    Scalar dissipationTilde_;
+    Scalar dissipation_;
     Scalar storedTurbulentKineticEnergy_;
-    Scalar storedDissipationTilde_;
+    Scalar storedDissipation_;
     Scalar stressTensorScalarProduct_;
+    bool inNearWallRegion_;
+    bool isMatchingPoint_;
 };
 
 }
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/vtkoutputfields.hh b/dumux/freeflow/rans/twoeq/kepsilon/vtkoutputfields.hh
index 3250528b447e47246fcd2895c19c70d5cb321218..6f772f1403387baa8aed437d3711200c7b524424 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/vtkoutputfields.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/vtkoutputfields.hh
@@ -52,7 +52,9 @@ public:
     static void add(VtkOutputModule& vtk)
     {
         vtk.addVolumeVariable([](const auto& v){ return v.turbulentKineticEnergy(); }, "k");
-        vtk.addVolumeVariable([](const auto& v){ return v.dissipationTilde(); }, "epsilon");
+        vtk.addVolumeVariable([](const auto& v){ return v.dissipation(); }, "epsilon");
+        vtk.addVolumeVariable([](const auto& v){ return v.inNearWallRegion(); }, "inNearWallRegion");
+        vtk.addVolumeVariable([](const auto& v){ return v.isMatchingPoint(); }, "isMatchingPoint");
     }
 };
 
diff --git a/test/freeflow/rans/CMakeLists.txt b/test/freeflow/rans/CMakeLists.txt
index 1be433a716a78c7d57817170c2ff4986a10b1854..3fe6f22be00bcc5b8383b94b7d556d065a6c369a 100644
--- a/test/freeflow/rans/CMakeLists.txt
+++ b/test/freeflow/rans/CMakeLists.txt
@@ -1,5 +1,7 @@
 add_input_file_links()
-dune_symlink_to_source_files(FILES laufer_re50000.csv laufer_re50000_u+y+.csv pdelab-lowrekepsilon.csv pdelab-zeroeq.csv)
+dune_symlink_to_source_files(FILES laufer_re50000.csv laufer_re50000_u+y+.csv
+                                   pdelab-kepsilon_twolayers.csv pdelab-kepsilon_wallfunction.csv
+                                   pdelab-lowrekepsilon.csv pdelab-zeroeq.csv)
 
 dune_add_test(NAME test_pipe_laufer_zeroeq
               SOURCES test_pipe_laufer.cc
@@ -15,8 +17,8 @@ dune_add_test(NAME test_pipe_laufer_kepsilon
               CMAKE_GUARD HAVE_UMFPACK
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
               CMD_ARGS  --script fuzzy
-                        --files ${CMAKE_SOURCE_DIR}/test/references/pipe_laufer_lowrekepsilon.vtu
-                                ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00064.vtu
+                        --files ${CMAKE_SOURCE_DIR}/test/references/pipe_laufer_kepsilon.vtu
+                                ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00051.vtu
                         --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_kepsilon test_pipe_laufer_reference.input")
 target_compile_definitions(test_pipe_laufer_kepsilon PUBLIC "KEPSILON=1")
 
diff --git a/test/freeflow/rans/pdelab-kepsilon_twolayers.csv b/test/freeflow/rans/pdelab-kepsilon_twolayers.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d3d1cdbcbb38bf0b8b236f1cbc2869a39954de44
--- /dev/null
+++ b/test/freeflow/rans/pdelab-kepsilon_twolayers.csv
@@ -0,0 +1,1002 @@
+"wallNormalAxis","velocityAtElementCenters:0","velocityAtElementCenters:1","velocityAtElementCenters:2","relVelocity:0","relVelocity:1","relVelocity:2","storedNeighborID00","storedNeighborID01","storedNeighborID10","storedNeighborID11","velocityGradients0:0","velocityGradients0:1","velocityGradients0:2","velocityGradients1:0","velocityGradients1:1","velocityGradients1:2","hasWall","isMatchingPoint","inWallFunctionRegion","useWallFunctionK","useWallFunctionE","pressure","pn_rel","massMoleFrac","temperature","k","epsilon","density","viscosity","eddyViscosity","distanceToWall","u^+","y^+","u^+_nominal","y^+_nominal","vtkValidPointMask","arc_length","Points:0","Points:1","Points:2"
+1,0.1371,-1.0428e-07,0,0.048606,-1042.8,0,18,20,19,44,0.00079757,1030,0,-1.482e-08,-0.00079736,0,1,0,1,1,1,1e+05,0.34067,1,298,0.017058,22.31,1.1688,1.5752e-05,1.9569e-08,0.00013078,1.0764,1.0575,1.2916,0.88129,1,0,8,0,0
+1,0.1371,-1.0428e-07,0,0.048606,-1042.8,0,18,20,19,44,0.00079757,1030,0,-1.482e-08,-0.00079736,0,1,0,1,1,1,1e+05,0.34067,1,298,0.017058,22.31,1.1688,1.5752e-05,1.9569e-08,0.00013078,1.0764,1.0575,1.2916,0.88129,1,0.0002469,8,0.0002469,0
+1,0.43103,-5.9329e-07,0,0.15281,-5932.9,0,43,45,19,69,0.0024523,952.89,0,-8.3059e-08,-0.0024516,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,6.972,1.1688,1.5752e-05,7.1404e-07,0.00041849,3.384,3.384,4.0607,2.8201,1,0.0004938,8,0.0004938,0
+1,0.74025,-1.7145e-06,0,0.26243,-17145,0,68,70,44,94,0.003912,768.79,0,-2.3463e-07,-0.0039109,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,3.8203,1.1688,1.5752e-05,4.2162e-06,0.00076375,5.8116,6.1758,6.9737,5.1467,1,0.0007407,8,0.0007407,0
+1,1.015,-3.5404e-06,0,0.35983,-35404,0,93,95,69,119,0.004822,541.25,0,-4.6992e-07,-0.0048204,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,2.4767,1.1688,1.5752e-05,1.2972e-05,0.001178,7.9685,9.526,9.5619,7.9386,1,0.0009876,8,0.0009876,0
+1,1.015,-3.5404e-06,0,0.35983,-35404,0,93,95,69,119,0.004822,541.25,0,-4.6992e-07,-0.0048204,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,2.4767,1.1688,1.5752e-05,1.2972e-05,0.001178,7.9685,9.526,9.5619,7.9386,1,0.0012345,8,0.0012345,0
+1,1.2336,-6.0733e-06,0,0.43733,-60733,0,118,120,94,144,0.0053251,355.28,0,-7.7792e-07,-0.0053232,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,1.7417,1.1688,1.5752e-05,2.8479e-05,0.0016752,9.6848,13.546,11.621,11.289,1,0.0014814,8,0.0014814,0
+1,1.2336,-6.0733e-06,0,0.43733,-60733,0,118,120,94,144,0.0053251,355.28,0,-7.7792e-07,-0.0053232,0,0,0,1,1,1,1e+05,0.34067,1,298,0.017058,1.7417,1.1688,1.5752e-05,2.8479e-05,0.0016752,9.6848,13.546,11.621,11.289,1,0.0017283,8,0.0017283,0
+1,1.4036,-9.3514e-06,0,0.4976,-93514,0,143,145,119,169,0.0056396,232.12,0,-1.1521e-06,-0.0056375,0,0,0,1,1,1,1e+05,0.34067,1,298,0.018272,1.2843,1.1688,1.5752e-05,5.2137e-05,0.0022718,11.019,18.371,13.223,15.309,1,0.0019752,8,0.0019752,0
+1,1.4036,-9.3514e-06,0,0.4976,-93514,0,143,145,119,169,0.0056396,232.12,0,-1.1521e-06,-0.0056375,0,0,0,1,1,1,1e+05,0.34067,1,298,0.018272,1.2843,1.1688,1.5752e-05,5.2137e-05,0.0022718,11.019,18.371,13.223,15.309,1,0.0022221,8,0.0022221,0
+1,1.4036,-9.3514e-06,0,0.4976,-93514,0,143,145,119,169,0.0056396,232.12,0,-1.1521e-06,-0.0056375,0,0,0,1,1,1,1e+05,0.34067,1,298,0.018272,1.2843,1.1688,1.5752e-05,5.2137e-05,0.0022718,11.019,18.371,13.223,15.309,1,0.002469,8,0.002469,0
+1,1.5382,-1.348e-05,0,0.54535,-1.348e+05,0,168,170,144,194,0.0058757,155.36,0,-1.5961e-06,-0.0058733,0,0,0,1,1,1,1e+05,0.34067,1,298,0.023801,0.97656,1.1688,1.5752e-05,8.5528e-05,0.0029877,12.077,24.16,14.492,20.134,1,0.0027159,8,0.0027159,0
+1,1.5382,-1.348e-05,0,0.54535,-1.348e+05,0,168,170,144,194,0.0058757,155.36,0,-1.5961e-06,-0.0058733,0,0,0,1,1,1,1e+05,0.34067,1,298,0.023801,0.97656,1.1688,1.5752e-05,8.5528e-05,0.0029877,12.077,24.16,14.492,20.134,1,0.0029628,8,0.0029628,0
+1,1.5382,-1.348e-05,0,0.54535,-1.348e+05,0,168,170,144,194,0.0058757,155.36,0,-1.5961e-06,-0.0058733,0,0,0,1,1,1,1e+05,0.34067,1,298,0.023801,0.97656,1.1688,1.5752e-05,8.5528e-05,0.0029877,12.077,24.16,14.492,20.134,1,0.0032097,8,0.0032097,0
+1,1.6483,-1.8623e-05,0,0.58435,-1.8623e+05,0,193,195,169,219,0.0060844,107.6,0,-2.099e-06,-0.0060818,0,0,0,1,1,1,1e+05,0.34067,1,298,0.02811,0.75847,1.1688,1.5752e-05,0.00013034,0.0038469,12.941,31.107,15.528,25.923,1,0.0034566,8,0.0034566,0
+1,1.6483,-1.8623e-05,0,0.58435,-1.8623e+05,0,193,195,169,219,0.0060844,107.6,0,-2.099e-06,-0.0060818,0,0,0,1,1,1,1e+05,0.34067,1,298,0.02811,0.75847,1.1688,1.5752e-05,0.00013034,0.0038469,12.941,31.107,15.528,25.923,1,0.0037035,8,0.0037035,0
+1,1.6483,-1.8623e-05,0,0.58435,-1.8623e+05,0,193,195,169,219,0.0060844,107.6,0,-2.099e-06,-0.0060818,0,0,0,1,1,1,1e+05,0.34067,1,298,0.02811,0.75847,1.1688,1.5752e-05,0.00013034,0.0038469,12.941,31.107,15.528,25.923,1,0.0039504,8,0.0039504,0
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+1,1.7416,-2.4978e-05,0,0.61744,-2.4978e+05,0,218,220,194,244,0.0062354,76.359,0,-2.7151e-06,-0.0062328,0,0,0,1,1,1,1e+05,0.34067,1,298,0.033775,0.59816,1.1688,1.5752e-05,0.00018612,0.0048778,13.673,39.443,16.407,32.87,1,0.0044442,8,0.0044442,0
+1,1.7416,-2.4978e-05,0,0.61744,-2.4978e+05,0,218,220,194,244,0.0062354,76.359,0,-2.7151e-06,-0.0062328,0,0,0,1,1,1,1e+05,0.34067,1,298,0.033775,0.59816,1.1688,1.5752e-05,0.00018612,0.0048778,13.673,39.443,16.407,32.87,1,0.0046911,8,0.0046911,0
+1,1.7416,-2.4978e-05,0,0.61744,-2.4978e+05,0,218,220,194,244,0.0062354,76.359,0,-2.7151e-06,-0.0062328,0,0,0,1,1,1,1e+05,0.34067,1,298,0.033775,0.59816,1.1688,1.5752e-05,0.00018612,0.0048778,13.673,39.443,16.407,32.87,1,0.004938,8,0.004938,0
+1,1.7416,-2.4978e-05,0,0.61744,-2.4978e+05,0,218,220,194,244,0.0062354,76.359,0,-2.7151e-06,-0.0062328,0,0,0,1,1,1,1e+05,0.34067,1,298,0.033775,0.59816,1.1688,1.5752e-05,0.00018612,0.0048778,13.673,39.443,16.407,32.87,1,0.0051849,8,0.0051849,0
+1,1.7416,-2.4978e-05,0,0.61744,-2.4978e+05,0,218,220,194,244,0.0062354,76.359,0,-2.7151e-06,-0.0062328,0,0,0,1,1,1,1e+05,0.34067,1,298,0.033775,0.59816,1.1688,1.5752e-05,0.00018612,0.0048778,13.673,39.443,16.407,32.87,1,0.0054318,8,0.0054318,0
+1,1.8214,-3.2903e-05,0,0.64575,-3.2903e+05,0,243,245,219,269,0.006553,55.303,0,-3.5774e-06,-0.0065502,0,0,1,1,0,1,1e+05,0.34067,1,298,0.037558,0.47715,1.1688,1.5752e-05,0.00026607,0.0061149,14.3,49.446,17.16,41.207,1,0.0056787,8,0.0056787,0
+1,1.8214,-3.2903e-05,0,0.64575,-3.2903e+05,0,243,245,219,269,0.006553,55.303,0,-3.5774e-06,-0.0065502,0,0,1,1,0,1,1e+05,0.34067,1,298,0.037558,0.47715,1.1688,1.5752e-05,0.00026607,0.0061149,14.3,49.446,17.16,41.207,1,0.0059256,8,0.0059256,0
+1,1.8214,-3.2903e-05,0,0.64575,-3.2903e+05,0,243,245,219,269,0.006553,55.303,0,-3.5774e-06,-0.0065502,0,0,1,1,0,1,1e+05,0.34067,1,298,0.037558,0.47715,1.1688,1.5752e-05,0.00026607,0.0061149,14.3,49.446,17.16,41.207,1,0.0061725,8,0.0061725,0
+1,1.8214,-3.2903e-05,0,0.64575,-3.2903e+05,0,243,245,219,269,0.006553,55.303,0,-3.5774e-06,-0.0065502,0,0,1,1,0,1,1e+05,0.34067,1,298,0.037558,0.47715,1.1688,1.5752e-05,0.00026607,0.0061149,14.3,49.446,17.16,41.207,1,0.0064194,8,0.0064194,0
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diff --git a/test/freeflow/rans/pdelab-kepsilon_wallfunction.csv b/test/freeflow/rans/pdelab-kepsilon_wallfunction.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f394f889501709603c93f56cb62efd531ae2d458
--- /dev/null
+++ b/test/freeflow/rans/pdelab-kepsilon_wallfunction.csv
@@ -0,0 +1,1002 @@
+"wallNormalAxis","velocityAtElementCenters:0","velocityAtElementCenters:1","velocityAtElementCenters:2","relVelocity:0","relVelocity:1","relVelocity:2","storedNeighborID00","storedNeighborID01","storedNeighborID10","storedNeighborID11","velocityGradients0:0","velocityGradients0:1","velocityGradients0:2","velocityGradients1:0","velocityGradients1:1","velocityGradients1:2","hasWall","isMatchingPoint","inWallFunctionRegion","useWallFunctionK","useWallFunctionE","pressure","pn_rel","massMoleFrac","temperature","k","epsilon","density","viscosity","eddyViscosity","distanceToWall","u^+","y^+","u^+_nominal","y^+_nominal","vtkValidPointMask","arc_length","Points:0","Points:1","Points:2"
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+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24073,8,0.24073,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24097,8,0.24097,0
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+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24196,8,0.24196,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24221,8,0.24221,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24246,8,0.24246,0
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+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24295,8,0.24295,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.2432,8,0.2432,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24344,8,0.24344,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24369,8,0.24369,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24394,8,0.24394,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24418,8,0.24418,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24443,8,0.24443,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24468,8,0.24468,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24492,8,0.24492,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24517,8,0.24517,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24542,8,0.24542,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24567,8,0.24567,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24591,8,0.24591,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24616,8,0.24616,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24641,8,0.24641,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.24665,8,0.24665,0
+1,1.8548,-8.128e-05,0,0.66988,-8.128e+05,0,493,495,469,494,-0.013166,-117.36,0,4.3828e-05,0.013168,0,1,1,1,0,1,1e+05,0.30242,1,298,0.037041,0.46288,1.1688,1.5752e-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.2469,8,0.2469,0
diff --git a/test/freeflow/rans/pipelauferproblem.hh b/test/freeflow/rans/pipelauferproblem.hh
index b718aba8c7847ab97886ba19f7b11558154290f2..60a6897e6a63e06d6a8447e8479718960aee1b7a 100644
--- a/test/freeflow/rans/pipelauferproblem.hh
+++ b/test/freeflow/rans/pipelauferproblem.hh
@@ -267,7 +267,8 @@ public:
         PrimaryVariables values(0.0);
         values[Indices::pressureIdx] = 1.0e+5;
         values[Indices::velocityXIdx] = inletVelocity_;
-        if (isOnWall(globalPos))
+        if (isOnWall(globalPos)
+            || (startWithZeroVelocity_ && time() < eps_))
         {
             values[Indices::velocityXIdx] = 0.0;
         }
@@ -281,10 +282,6 @@ public:
 #endif
 
 #if LOWREKEPSILON || KEPSILON
-        if (time() < eps_ && startWithZeroVelocity_)
-        {
-            values[Indices::velocityXIdx] = 0.0;
-        }
         values[Indices::turbulentKineticEnergyEqIdx] = turbulentKineticEnergy_;
         values[Indices::dissipationEqIdx] = dissipation_;
         if (isOnWall(globalPos))
diff --git a/test/freeflow/rans/test_pipe_laufer.cc b/test/freeflow/rans/test_pipe_laufer.cc
index d5f9d1452045a1f04e0565e97f6535d5b31d315f..5fbfe70ec0f5ba308e62e08d5f03e342250d3426 100644
--- a/test/freeflow/rans/test_pipe_laufer.cc
+++ b/test/freeflow/rans/test_pipe_laufer.cc
@@ -243,10 +243,14 @@ int main(int argc, char** argv) try
             gnuplot_lawOfTheWall.addFileToPlot("laufer_re50000_u+y+.csv", "u 1:2 w p t 'Laufer 1954, Re=50000'");
 #if LOWREKEPSILON
             gnuplot_lawOfTheWall.addFileToPlot("pdelab-lowrekepsilon.csv", "u 23:22 w l lw 2 t 'PDELab Low-Re k-epsilon'");
-            gnuplot_lawOfTheWall.addFileToPlot(std::string(fileName) + ".csv", "u 12:13 w l");
+            gnuplot_lawOfTheWall.addFileToPlot(std::string(fileName) + ".csv", "u 12:13 w l lc 7");
+#elif KEPSILON
+            gnuplot_lawOfTheWall.addFileToPlot("pdelab-kepsilon_twolayers.csv", "u 34:33 w l lw 2 t 'PDELab k-epsilon (two layers)'");
+            gnuplot_lawOfTheWall.addFileToPlot("pdelab-kepsilon_wallfunction.csv", "u 36:35 w l lw 2 t 'PDELab k-epsilon (wall function)'");
+            gnuplot_lawOfTheWall.addFileToPlot(std::string(fileName) + ".csv", "u 12:13 w l lc 7");
 #else
             gnuplot_lawOfTheWall.addFileToPlot("pdelab-zeroeq.csv", "u 22:21 w l lw 2 t 'PDELab 0-Eq.'");
-            gnuplot_lawOfTheWall.addFileToPlot(std::string(fileName) + ".csv", "u 12:13 w l");
+            gnuplot_lawOfTheWall.addFileToPlot(std::string(fileName) + ".csv", "u 12:13 w l lc 7");
 #endif
             gnuplot_lawOfTheWall.plot(std::string(gnuplotFileName));
 
@@ -260,10 +264,14 @@ int main(int argc, char** argv) try
             gnuplot_velocityProfile.addFileToPlot("laufer_re50000.csv", "u 2:1 w p t 'Laufer 1954, Re=50000'");
 #if LOWREKEPSILON
             gnuplot_velocityProfile.addFileToPlot("pdelab-lowrekepsilon.csv", "u 5:($27/0.2456) w l lw 2 t 'PDELab Low-Re k-epsilon'");
-            gnuplot_velocityProfile.addFileToPlot(std::string(fileName) + ".csv", "u 7:($32/0.2456) w l");
+            gnuplot_velocityProfile.addFileToPlot(std::string(fileName) + ".csv", "u 7:($26/0.2456) w l lc 7");
+#elif KEPSILON
+            gnuplot_velocityProfile.addFileToPlot("pdelab-kepsilon_twolayers.csv", "u ($5):($40/0.2469) w l lw 2 t 'PDELab k-epsilon (two layers)'");
+            gnuplot_velocityProfile.addFileToPlot("pdelab-kepsilon_wallfunction.csv", "u ($5):($40/0.2469) w l lw 2 t 'PDELab k-epsilon (wall function)'");
+            gnuplot_velocityProfile.addFileToPlot(std::string(fileName) + ".csv", "u 7:($28/0.2456) w l lc 7");
 #else
             gnuplot_velocityProfile.addFileToPlot("pdelab-zeroeq.csv", "u 5:($26/0.2456) w l lw 2 t 'PDELab 0-Eq.'");
-            gnuplot_velocityProfile.addFileToPlot(std::string(fileName) + ".csv", "u 7:($24/0.2456) w l");
+            gnuplot_velocityProfile.addFileToPlot(std::string(fileName) + ".csv", "u 7:($24/0.2456) w l lc 7");
 #endif
             gnuplot_velocityProfile.plot(std::string(gnuplotFileName));
         }
diff --git a/test/freeflow/rans/test_pipe_laufer.input b/test/freeflow/rans/test_pipe_laufer.input
index 20eba371cd6346cf8e36120fb1e68b51c01236de..f698d87214da52d50ea98e6cb92a5a0b2831bd1e 100644
--- a/test/freeflow/rans/test_pipe_laufer.input
+++ b/test/freeflow/rans/test_pipe_laufer.input
@@ -1,5 +1,5 @@
 [TimeLoop]
-DtInitial = 1e-3 # [s]
+DtInitial = 1e-1 # [s]
 TEnd = 100 # [s]
 
 [Grid]
@@ -24,6 +24,9 @@ SandGrainRoughness = 0.0 # [m] # not implemented for EddyViscosityModel = 3
 EddyViscosityModel = "baldwinLomax"
 UseStoredEddyViscosity = false
 
+[KEpsilon]
+YPlusThreshold = 30.
+
 [Assembly]
 NumericDifferenceMethod = 0
 NumericDifference.BaseEpsilon = 1e-8
diff --git a/test/freeflow/rans/test_pipe_laufer_reference.input b/test/freeflow/rans/test_pipe_laufer_reference.input
index daedf5780a50ae6f23e8d3bb9d4bc9febd3898b9..8affc90287fd0efcd6b61cf99b56268fca7a23ca 100644
--- a/test/freeflow/rans/test_pipe_laufer_reference.input
+++ b/test/freeflow/rans/test_pipe_laufer_reference.input
@@ -18,6 +18,9 @@ EnableGravity = false
 [RANS]
 EddyViscosityModel = "baldwinLomax"
 
+[KEpsilon]
+YPlusThreshold = 50.
+
 [Assembly]
 NumericDifferenceMethod = 0
 NumericDifference.BaseEpsilon = 1e-8
diff --git a/test/references/pipe_laufer_kepsilon.vtu b/test/references/pipe_laufer_kepsilon.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..1dc43a0ca757ff6f096e8ebd653c8cf1456f26d5
--- /dev/null
+++ b/test/references/pipe_laufer_kepsilon.vtu
@@ -0,0 +1,782 @@
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