[kepsilon] First implementation (identical to low-Re k-epsilon)

doc/doxygen/modules.txt

@@ -196,6 +196,12 @@
        * \brief Two-equation turbulence models
        * \copydetails ./freeflow/rans/model.hh
        */
+        /*!
+         * \ingroup TwoEqModel
+         * \defgroup KEpsilonModel K-epsilon model
+         * \brief K-epsilon model
+         * \copydetails ./freeflow/rans/twoeq/kepsilon/model.hh
+         */
         /*!
          * \ingroup TwoEqModel
          * \defgroup LowReKEpsilonModel Low-Re k-epsilon model

dumux/freeflow/rans/twoeq/CMakeLists.txt

+add_subdirectory("kepsilon")
 add_subdirectory("lowrekepsilon")

dumux/freeflow/rans/twoeq/kepsilon/CMakeLists.txt

+#install headers
+install(FILES
+fluxvariables.hh
+indices.hh
+localresidual.hh
+model.hh
+# models.hh
+problem.hh
+volumevariables.hh
+vtkoutputfields.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/freeflow/rans/twoeq/kepsilon)

dumux/freeflow/rans/twoeq/kepsilon/fluxvariables.hh

+// -*- 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 KEpsilonModel
+  * \copydoc Dumux::KEpsilonFluxVariables
+  */
+#ifndef DUMUX_KEPSILON_FLUXVARIABLES_HH
+#define DUMUX_KEPSILON_FLUXVARIABLES_HH
+
+#include <dumux/common/properties.hh>
+#include <dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh>
+
+namespace Dumux
+{
+
+// forward declaration
+template<class TypeTag, class BaseFluxVariables, DiscretizationMethod discMethod>
+class KEpsilonFluxVariablesImpl;
+
+/*!
+ * \ingroup KEpsilonModel
+ * \brief The flux variables class for the k-epsilon model.
+          This is a convenience alias for that actual,
+          discretization-specific flux variables.
+ * \note  Not all specializations are currently implemented
+ */
+template<class TypeTag, class BaseFluxVariables>
+using KEpsilonFluxVariables = KEpsilonFluxVariablesImpl<TypeTag, BaseFluxVariables, GET_PROP_TYPE(TypeTag, FVGridGeometry)::discMethod>;
+
+} // end namespace
+
+#endif

dumux/freeflow/rans/twoeq/kepsilon/indices.hh

+// -*- 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 KEpsilonModel
+ * \copydoc Dumux::KEpsilonIndices
+ */
+#ifndef DUMUX_KEPSILON_INDICES_HH
+#define DUMUX_KEPSILON_INDICES_HH
+
+#include <dumux/freeflow/navierstokes/indices.hh>
+
+namespace Dumux {
+
+// \{
+/*!
+ * \ingroup KEpsilonModel
+ * \brief The common indices for the isothermal k-epsilon model.
+ *
+ * \tparam dimension The dimension of the problem
+ * \tparam numComponents The number of considered transported components
+ */
+template<int dimension, int numComponents>
+struct KEpsilonIndices : public NavierStokesIndices<dimension>
+{
+public:
+    static constexpr auto turbulentKineticEnergyEqIdx = dimension + numComponents;
+    static constexpr auto turbulentKineticEnergyIdx = turbulentKineticEnergyEqIdx;
+    static constexpr auto dissipationEqIdx = turbulentKineticEnergyEqIdx + 1;
+    static constexpr auto dissipationIdx = dissipationEqIdx;
+};
+
+// \}
+} // end namespace
+
+#endif

dumux/freeflow/rans/twoeq/kepsilon/localresidual.hh

+// -*- 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 KEpsilonModel
+  * \copydoc Dumux::KEpsilonResidual
+  */
+#ifndef DUMUX_KEPSILON_LOCAL_RESIDUAL_HH
+#define DUMUX_KEPSILON_LOCAL_RESIDUAL_HH
+
+#include <dumux/common/properties.hh>
+#include <dumux/discretization/methods.hh>
+#include <dumux/freeflow/navierstokes/localresidual.hh>
+#include <dumux/freeflow/rans/twoeq/kepsilon/staggered/localresidual.hh>
+
+namespace Dumux
+{
+
+// forward declaration
+template<class TypeTag, class BaseLocalResidual, DiscretizationMethod discMethod>
+class KEpsilonResidualImpl;
+
+/*!
+ * \ingroup KEpsilonModel
+ * \brief The local residual class for the k-epsilon model.
+          This is a convenience alias for the actual,
+          discretization-specific local residual.
+ * \note  Not all specializations are currently implemented
+ */
+template<class TypeTag, class BaseLocalResidual>
+using KEpsilonResidual = KEpsilonResidualImpl<TypeTag, BaseLocalResidual, GET_PROP_TYPE(TypeTag, FVGridGeometry)::discMethod>;
+
+}
+
+#endif

dumux/freeflow/rans/twoeq/kepsilon/model.hh

+// -*- 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 KEpsilonModel
+ *
+ * \brief A single-phase, isothermal k-epsilon model
+ *
+ * \copydoc RANSModel
+ *
+ * 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$:
+ *
+ * \f[
+ *    \frac{\partial \left( k \right)}{\partial t}
+ *    + \nabla \cdot \left( \textbf{v} k \right)
+ *    - \nabla \cdot \left( \left( \nu + \frac{\nu_\text{t}}{\sigma_\text{k}} \right) \nabla k \right)
+ *    - 2 \nu_\text{t} \textbf{S} \cdot \textbf{S}
+ *    + \tilde{\varepsilon}
+ *    + D_\varepsilon
+ *    = 0
+ * \f].
+ *
+ * The dissipation balance is changed by introducing additional functions
+ * (\f$ E_\text{k}\f$, \f$ f_1 \f$, and \f$ f_2 \f$) to account for a dampening towards the wall:
+ * \f[
+ *   \frac{\partial \left( \tilde{\varepsilon} \right)}{\partial t}
+ *   + \nabla \cdot \left( \textbf{v} \tilde{\varepsilon} \right)
+ *   - \nabla \cdot \left( \left( \nu + \frac{\nu_\text{t}}{\sigma_{\varepsilon}} \right) \nabla \tilde{\varepsilon} \right)
+ *   - C_{1\tilde{\varepsilon}} f_1 \frac{\tilde{\varepsilon}}{k} 2 \nu_\text{t} \textbf{S} \cdot \textbf{S}
+ *   + C_{2\tilde{\varepsilon}} f_2 \frac{\tilde{\varepsilon}^2}{k}
+ *   - E_\text{k}
+ *   = 0
+ * \f].
+ *
+ * The kinematic eddy viscosity \f$ \nu_\text{t} \f$ is dampened by \f$ f_\mu \f$:
+ * \f[
+ * \nu_\text{t} = C_\mu f_\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_\mu = 0.09 \f]
+ */
+
+#ifndef DUMUX_KEPSILON_MODEL_HH
+#define DUMUX_KEPSILON_MODEL_HH
+
+#include <dumux/common/properties.hh>
+#include <dumux/freeflow/properties.hh>
+#include <dumux/freeflow/rans/model.hh>
+
+#include "fluxvariables.hh"
+#include "indices.hh"
+#include "localresidual.hh"
+#include "volumevariables.hh"
+#include "vtkoutputfields.hh"
+
+namespace Dumux
+{
+namespace Properties {
+
+/*!
+ * \ingroup KEpsilonModel
+ * \brief Traits for the k-epsilon model
+ */
+template<int dimension>
+struct KEpsilonModelTraits : RANSModelTraits<dimension>
+{
+    //! The dimension of the model
+    static constexpr int dim() { return dimension; }
+
+    //! There are as many momentum balance equations as dimensions,
+    //! one mass balance equation and two turbulent transport equations
+    static constexpr int numEq() { return dim()+1+2; }
+
+    //! The number of components
+    static constexpr int numComponents() { return 1; }
+
+    //! the indices
+    using Indices = KEpsilonIndices<dim(), numComponents()>;
+};
+
+///////////////////////////////////////////////////////////////////////////
+// default property values for the isothermal k-epsilon model
+///////////////////////////////////////////////////////////////////////////
+
+//! The type tag for the single-phase, isothermal k-epsilon model
+NEW_TYPE_TAG(KEpsilon, INHERITS_FROM(RANS));
+
+//!< states some specifics of the isothermal k-epsilon model
+SET_PROP(KEpsilon, ModelTraits)
+{
+private:
+    using GridView = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::GridView;
+    static constexpr int dim = GridView::dimension;
+public:
+    using type = KEpsilonModelTraits<dim>;
+};
+
+//! The flux variables
+SET_PROP(KEpsilon, FluxVariables)
+{
+private:
+    using BaseFluxVariables = NavierStokesFluxVariables<TypeTag>;
+public:
+    using type = KEpsilonFluxVariables<TypeTag, BaseFluxVariables>;
+};
+
+//! The local residual
+SET_PROP(KEpsilon, LocalResidual)
+{
+private:
+    using BaseLocalResidual = NavierStokesResidual<TypeTag>;
+public:
+    using type = KEpsilonResidual<TypeTag, BaseLocalResidual>;
+};
+
+//! Set the volume variables property
+SET_PROP(KEpsilon, VolumeVariables)
+{
+private:
+    using PV = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using FSY = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    using FST = typename GET_PROP_TYPE(TypeTag, FluidState);
+    using MT = typename GET_PROP_TYPE(TypeTag, ModelTraits);
+
+    using Traits = NavierStokesVolumeVariablesTraits<PV, FSY, FST, MT>;
+    using NSVolVars = NavierStokesVolumeVariables<Traits>;
+public:
+    using type = KEpsilonVolumeVariables<Traits, NSVolVars>;
+};
+
+//! The specific vtk output fields
+SET_PROP(KEpsilon, VtkOutputFields)
+{
+private:
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+public:
+    using type = KEpsilonVtkOutputFields<FVGridGeometry>;
+};
+
+//////////////////////////////////////////////////////////////////
+// default property values for the non-isothermal k-epsilon model
+//////////////////////////////////////////////////////////////////
+
+//! The type tag for the single-phase, isothermal k-epsilon model
+NEW_TYPE_TAG(KEpsilonNI, INHERITS_FROM(RANSNI));
+
+//! The model traits of the non-isothermal model
+SET_PROP(KEpsilonNI, ModelTraits)
+{
+private:
+    using GridView = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::GridView;
+    static constexpr int dim = GridView::dimension;
+    using IsothermalTraits = KEpsilonModelTraits<dim>;
+public:
+    using type = FreeflowNIModelTraits<IsothermalTraits>;
+};
+
+//! Set the volume variables property
+SET_PROP(KEpsilonNI, VolumeVariables)
+{
+private:
+    using PV = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using FSY = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    using FST = typename GET_PROP_TYPE(TypeTag, FluidState);
+    using MT = typename GET_PROP_TYPE(TypeTag, ModelTraits);
+
+    using Traits = NavierStokesVolumeVariablesTraits<PV, FSY, FST, MT>;
+    using NSVolVars = NavierStokesVolumeVariables<Traits>;
+public:
+    using type = KEpsilonVolumeVariables<Traits, NSVolVars>;
+};
+
+//! The specific non-isothermal vtk output fields
+SET_PROP(KEpsilonNI, VtkOutputFields)
+{
+private:
+    using ModelTraits = typename GET_PROP_TYPE(TypeTag, ModelTraits);
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using IsothermalFields = KEpsilonVtkOutputFields<FVGridGeometry>;
+public:
+    using type = FreeflowNonIsothermalVtkOutputFields<IsothermalFields, ModelTraits>;
+};
+
+// \}
+}
+
+} // end namespace
+
+#endif

dumux/freeflow/rans/twoeq/kepsilon/problem.hh

+// -*- 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 KEpsilonModel
+ * \copydoc Dumux::KEpsilonProblem
+ */
+#ifndef DUMUX_REKEPSILON_PROBLEM_HH
+#define DUMUX_REKEPSILON_PROBLEM_HH
+
+#include <dumux/common/properties.hh>
+#include <dumux/common/staggeredfvproblem.hh>
+#include <dumux/discretization/localview.hh>
+#include <dumux/discretization/staggered/elementsolution.hh>
+#include <dumux/discretization/methods.hh>
+#include <dumux/freeflow/rans/problem.hh>
+
+#include "model.hh"
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup KEpsilonModel
+ * \brief K-epsilon turbulence problem base class.
+ *
+ * This implements some base functionality for k-epsilon models.
+ */
+template<class TypeTag>
+class KEpsilonProblem : public RANSProblem<TypeTag>
+{
+    using ParentType = RANSProblem<TypeTag>;
+    using Implementation = typename GET_PROP_TYPE(TypeTag, Problem);
+
+    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::LocalView;
+    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
+
+    using VolumeVariables = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
+    using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+    using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+    using CellCenterPrimaryVariables = typename GET_PROP_TYPE(TypeTag, CellCenterPrimaryVariables);
+    using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
+
+public:
+    //! The constructor sets the gravity, if desired by the user.
+    KEpsilonProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+    : ParentType(fvGridGeometry)
+    {
+        useStoredEddyViscosity_ = getParamFromGroup<bool>(this->paramGroup(), "RANS.UseStoredEddyViscosity", true);
+    }
+
+    /*!
+     * \brief Correct size of the static (solution independent) wall variables
+     */
+    void updateStaticWallProperties()
+    {
+        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);
+        storedTurbulentKineticEnergy_.resize(this->fvGridGeometry().elementMapper().size(), 0.0);
+    }
+
+    /*!
+     * \brief Update the dynamic (solution dependent) relations to the walls
+     *
+     * \param curSol The solution vector.
+     */
+    void updateDynamicWallProperties(const SolutionVector& curSol)
+    {
+        ParentType::updateDynamicWallProperties(curSol);
+
+        for (const auto& element : elements(this->fvGridGeometry().gridView()))
+        {
+            unsigned int elementID = this->fvGridGeometry().elementMapper().index(element);
+
+            auto fvGeometry = localView(this->fvGridGeometry());
+            fvGeometry.bindElement(element);
+            for (auto&& scv : scvs(fvGeometry))
+            {
+                const int dofIdx = scv.dofIndex();
+                const auto& cellCenterPriVars = curSol[FVGridGeometry::cellCenterIdx()][dofIdx];
+                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];
+                storedTurbulentKineticEnergy_[elementID] = elemSol[0][Indices::turbulentKineticEnergyEqIdx];
+                // NOTE: then update the volVars
+                VolumeVariables volVars;
+                volVars.update(elemSol, asImp_(), element, scv);
+                storedDynamicEddyViscosity_[elementID] = volVars.calculateEddyViscosity();
+            }
+        }
+    }
+
+public:
+    std::vector<Scalar> storedDissipationTilde_;
+    std::vector<Scalar> storedDynamicEddyViscosity_;
+    std::vector<Scalar> storedTurbulentKineticEnergy_;
+    bool useStoredEddyViscosity_;
+
+private:
+    //! Returns the implementation of the problem (i.e. static polymorphism)
+    Implementation &asImp_()
+    { return *static_cast<Implementation *>(this); }
+
+    //! \copydoc asImp_()
+    const Implementation &asImp_() const
+    { return *static_cast<const Implementation *>(this); }
+};
+
+}
+
+#endif

dumux/freeflow/rans/twoeq/kepsilon/staggered/CMakeLists.txt

+#install headers
+install(FILES
+fluxvariables.hh
+localresidual.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/freeflow/rans/twoeq/kepsilon/staggered)

dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh

+// -*- 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 KEpsilonModel
+  * \copydoc Dumux::KEpsilonFluxVariablesImpl
+  */
+#ifndef DUMUX_KEPSILON_STAGGERED_FLUXVARIABLES_HH
+#define DUMUX_KEPSILON_STAGGERED_FLUXVARIABLES_HH
+
+#include <numeric>
+#include <dumux/common/properties.hh>
+#include <dumux/discretization/fluxvariablesbase.hh>
+#include <dumux/discretization/methods.hh>
+#include <dumux/freeflow/navierstokes/fluxvariables.hh>
+#include <dumux/freeflow/rans/twoeq/kepsilon/fluxvariables.hh>
+
+namespace Dumux
+{
+
+// forward declaration
+template<class TypeTag, class BaseFluxVariables, DiscretizationMethod discMethod>
+class KEpsilonFluxVariablesImpl;
+
+/*!
+ * \ingroup KEpsilonModel
+ * \brief The flux variables class for the k-epsilon model using the staggered grid discretization.
+ */
+template<class TypeTag, class BaseFluxVariables>
+class KEpsilonFluxVariablesImpl<TypeTag, BaseFluxVariables, DiscretizationMethod::staggered>
+: public BaseFluxVariables
+{
+    using ParentType = BaseFluxVariables;
+