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| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup NavierStokesModel | ||
| 10 | * \copydoc Dumux::NavierStokesFluxVariablesImpl | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_NAVIERSTOKES_MOMENTUM_CVFE_FLUXVARIABLES_HH | ||
| 13 | #define DUMUX_NAVIERSTOKES_MOMENTUM_CVFE_FLUXVARIABLES_HH | ||
| 14 | |||
| 15 | #include <dune/common/fmatrix.hh> | ||
| 16 | |||
| 17 | #include <dumux/common/math.hh> | ||
| 18 | #include <dumux/common/exceptions.hh> | ||
| 19 | #include <dumux/common/parameters.hh> | ||
| 20 | |||
| 21 | #include <dumux/discretization/extrusion.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | /*! | ||
| 26 | * \ingroup NavierStokesModel | ||
| 27 | * \brief Context for computing fluxes | ||
| 28 | * | ||
| 29 | * \tparam Problem the problem type to solve | ||
| 30 | * \tparam FVElementGeometry the element geometry type | ||
| 31 | * \tparam ElementVolumeVariables the element volume variables type | ||
| 32 | * \tparam ElementFluxVariablesCache the element flux variables cache type | ||
| 33 | */ | ||
| 34 | template<class Problem, | ||
| 35 | class FVElementGeometry, | ||
| 36 | class ElementVolumeVariables, | ||
| 37 | class ElementFluxVariablesCache> | ||
| 38 | class NavierStokesMomentumFluxContext | ||
| 39 | { | ||
| 40 | using Element = typename FVElementGeometry::Element; | ||
| 41 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 42 | public: | ||
| 43 | |||
| 44 | //! Initialize the flux variables storing some temporary pointers | ||
| 45 | 46168000 | NavierStokesMomentumFluxContext( | |
| 46 | const Problem& problem, | ||
| 47 | const FVElementGeometry& fvGeometry, | ||
| 48 | const ElementVolumeVariables& elemVolVars, | ||
| 49 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 50 | const SubControlVolumeFace& scvf | ||
| 51 | ) | ||
| 52 | : problem_(problem) | ||
| 53 | , fvGeometry_(fvGeometry) | ||
| 54 | , elemVolVars_(elemVolVars) | ||
| 55 | , elemFluxVarsCache_(elemFluxVarsCache) | ||
| 56 | 46168000 | , scvf_(scvf) | |
| 57 | {} | ||
| 58 | |||
| 59 | ✗ | const Problem& problem() const | |
| 60 | ✗ | { return problem_; } | |
| 61 | |||
| 62 | ✗ | const Element& element() const | |
| 63 | 243268080 | { return fvGeometry_.element(); } | |
| 64 | |||
| 65 | ✗ | const SubControlVolumeFace& scvFace() const | |
| 66 | ✗ | { return scvf_; } | |
| 67 | |||
| 68 | ✗ | const FVElementGeometry& fvGeometry() const | |
| 69 | ✗ | { return fvGeometry_; } | |
| 70 | |||
| 71 | ✗ | const ElementVolumeVariables& elemVolVars() const | |
| 72 | ✗ | { return elemVolVars_; } | |
| 73 | |||
| 74 | ✗ | const ElementFluxVariablesCache& elemFluxVarsCache() const | |
| 75 | ✗ | { return elemFluxVarsCache_; } | |
| 76 | |||
| 77 | private: | ||
| 78 | const Problem& problem_; | ||
| 79 | const FVElementGeometry& fvGeometry_; | ||
| 80 | const ElementVolumeVariables& elemVolVars_; | ||
| 81 | const ElementFluxVariablesCache& elemFluxVarsCache_; | ||
| 82 | const SubControlVolumeFace& scvf_; | ||
| 83 | }; | ||
| 84 | |||
| 85 | /*! | ||
| 86 | * \ingroup NavierStokesModel | ||
| 87 | * \brief The flux variables class for the Navier-Stokes model using control-volume finite element schemes | ||
| 88 | */ | ||
| 89 | template<class GridGeometry, class NumEqVector> | ||
| 90 | class NavierStokesMomentumFluxCVFE | ||
| 91 | { | ||
| 92 | using GridView = typename GridGeometry::GridView; | ||
| 93 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 94 | using Scalar = typename NumEqVector::value_type; | ||
| 95 | |||
| 96 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 97 | |||
| 98 | static constexpr int dim = GridView::dimension; | ||
| 99 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 100 | |||
| 101 | using Tensor = Dune::FieldMatrix<Scalar, dim, dimWorld>; | ||
| 102 | static_assert(NumEqVector::dimension == dimWorld, "Wrong dimension of velocity vector"); | ||
| 103 | |||
| 104 | public: | ||
| 105 | /*! | ||
| 106 | * \brief Returns the diffusive momentum flux due to viscous forces | ||
| 107 | */ | ||
| 108 | template<class Context> | ||
| 109 | 46168000 | NumEqVector advectiveMomentumFlux(const Context& context) const | |
| 110 | { | ||
| 111 |
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46168000 | if (!context.problem().enableInertiaTerms()) |
| 112 | 30609568 | return NumEqVector(0.0); | |
| 113 | |||
| 114 | 29298040 | const auto& fvGeometry = context.fvGeometry(); | |
| 115 | 29298040 | const auto& elemVolVars = context.elemVolVars(); | |
| 116 | 29298040 | const auto& scvf = context.scvFace(); | |
| 117 | 29298040 | const auto& fluxVarCache = context.elemFluxVarsCache()[scvf]; | |
| 118 | 29298040 | const auto& shapeValues = fluxVarCache.shapeValues(); | |
| 119 | |||
| 120 | // interpolate velocity at scvf | ||
| 121 | 29298040 | NumEqVector v(0.0); | |
| 122 |
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306417600 | for (const auto& scv : scvs(fvGeometry)) |
| 123 | 619553800 | v.axpy(shapeValues[scv.indexInElement()][0], elemVolVars[scv].velocity()); | |
| 124 | |||
| 125 | // get density from the problem | ||
| 126 | 58596080 | const Scalar density = context.problem().density(context.element(), context.fvGeometry(), scvf); | |
| 127 | |||
| 128 | 29298040 | const auto vn = v*scvf.unitOuterNormal(); | |
| 129 |
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58596080 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; |
| 130 |
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58596080 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; |
| 131 |
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29298040 | const auto upwindVelocity = vn > 0 ? insideVolVars.velocity() : outsideVolVars.velocity(); |
| 132 |
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29298040 | const auto downwindVelocity = vn > 0 ? outsideVolVars.velocity() : insideVolVars.velocity(); |
| 133 |
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29298040 | static const auto upwindWeight = getParamFromGroup<Scalar>(context.problem().paramGroup(), "Flux.UpwindWeight"); |
| 134 | 117192160 | const auto advectiveTermIntegrand = density*vn * (upwindWeight * upwindVelocity + (1.0-upwindWeight)*downwindVelocity); | |
| 135 | |||
| 136 | 117192160 | return advectiveTermIntegrand * Extrusion::area(fvGeometry, scvf) * insideVolVars.extrusionFactor(); | |
| 137 | } | ||
| 138 | |||
| 139 | /*! | ||
| 140 | * \brief Returns the diffusive momentum flux due to viscous forces | ||
| 141 | */ | ||
| 142 | template<class Context> | ||
| 143 | 46168000 | NumEqVector diffusiveMomentumFlux(const Context& context) const | |
| 144 | { | ||
| 145 | 46168000 | const auto& element = context.element(); | |
| 146 | 46168000 | const auto& fvGeometry = context.fvGeometry(); | |
| 147 | 46168000 | const auto& elemVolVars = context.elemVolVars(); | |
| 148 | 46168000 | const auto& scvf = context.scvFace(); | |
| 149 | 46168000 | const auto& fluxVarCache = context.elemFluxVarsCache()[scvf]; | |
| 150 | |||
| 151 | // interpolate velocity gradient at scvf | ||
| 152 | 46168000 | Tensor gradV(0.0); | |
| 153 |
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292840120 | for (const auto& scv : scvs(fvGeometry)) |
| 154 | { | ||
| 155 | 200504120 | const auto& volVars = elemVolVars[scv]; | |
| 156 |
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618344368 | for (int dir = 0; dir < dim; ++dir) |
| 157 | 2089201240 | gradV[dir].axpy(volVars.velocity(dir), fluxVarCache.gradN(scv.indexInElement())); | |
| 158 | } | ||
| 159 | |||
| 160 | // get viscosity from the problem | ||
| 161 |
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46168000 | const auto mu = context.problem().effectiveViscosity(element, fvGeometry, scvf); |
| 162 | |||
| 163 |
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46168029 | static const bool enableUnsymmetrizedVelocityGradient |
| 164 |
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87 | = getParamFromGroup<bool>(context.problem().paramGroup(), "FreeFlow.EnableUnsymmetrizedVelocityGradient", false); |
| 165 | |||
| 166 | // compute -mu*gradV*n*dA | ||
| 167 |
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46168000 | NumEqVector diffusiveFlux = enableUnsymmetrizedVelocityGradient ? |
| 168 | 47125552 | mv(gradV, scvf.unitOuterNormal()) | |
| 169 | 6768000 | : mv(gradV + getTransposed(gradV),scvf.unitOuterNormal()); | |
| 170 | |||
| 171 | 46168000 | diffusiveFlux *= -mu; | |
| 172 | |||
| 173 |
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46168000 | static const bool enableDilatationTerm = getParamFromGroup<bool>(context.problem().paramGroup(), "FreeFlow.EnableDilatationTerm", false); |
| 174 |
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46168000 | if (enableDilatationTerm) |
| 175 | ✗ | diffusiveFlux += 2.0/3.0 * mu * trace(gradV) * scvf.unitOuterNormal(); | |
| 176 | |||
| 177 | 184672000 | diffusiveFlux *= Extrusion::area(fvGeometry, scvf) * elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 178 | 46168000 | return diffusiveFlux; | |
| 179 | } | ||
| 180 | |||
| 181 | template<class Context> | ||
| 182 | 46168000 | NumEqVector pressureContribution(const Context& context) const | |
| 183 | { | ||
| 184 | 46168000 | const auto& element = context.element(); | |
| 185 | 46168000 | const auto& fvGeometry = context.fvGeometry(); | |
| 186 | 46168000 | const auto& elemVolVars = context.elemVolVars(); | |
| 187 | 46168000 | const auto& scvf = context.scvFace(); | |
| 188 | |||
| 189 | // The pressure force needs to take the extruded scvf area into account | ||
| 190 | 46168000 | const auto pressure = context.problem().pressure(element, fvGeometry, scvf); | |
| 191 | |||
| 192 | // The pressure contribution calculated above might have a much larger numerical value compared to the viscous or inertial forces. | ||
| 193 | // This may lead to numerical inaccuracies due to loss of significance (cancellation) for the final residual value. | ||
| 194 | // In the end, we are only interested in a pressure gradient between the two relevant faces so we can | ||
| 195 | // subtract a constant reference value from the actual pressure contribution. | ||
| 196 | 46168000 | const auto referencePressure = context.problem().referencePressure(); | |
| 197 | |||
| 198 | 46168000 | NumEqVector pn(scvf.unitOuterNormal()); | |
| 199 | 184672000 | pn *= (pressure-referencePressure)*Extrusion::area(fvGeometry, scvf)*elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 200 | |||
| 201 | 46168000 | return pn; | |
| 202 | } | ||
| 203 | }; | ||
| 204 | |||
| 205 | } // end namespace Dumux | ||
| 206 | |||
| 207 | #endif | ||
| 208 |