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 @@ 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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-05,0.00026677,0.0061725,43.138,16.849,17.595,41.308,1,0.2469,8,0.2469,0 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 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