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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-FileCopyrightText: 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_FLUXVARIABLES_HH | ||
| 13 | #define DUMUX_NAVIERSTOKES_MOMENTUM_FLUXVARIABLES_HH | ||
| 14 | |||
| 15 | #include <array> | ||
| 16 | |||
| 17 | #include <dumux/common/numeqvector.hh> | ||
| 18 | #include <dumux/common/math.hh> | ||
| 19 | #include <dumux/common/exceptions.hh> | ||
| 20 | #include <dumux/common/parameters.hh> | ||
| 21 | #include <dumux/common/properties.hh> | ||
| 22 | |||
| 23 | #include <dumux/discretization/extrusion.hh> | ||
| 24 | #include <dumux/discretization/method.hh> | ||
| 25 | |||
| 26 | // #include "staggeredupwindhelper.hh" | ||
| 27 | #include "velocitygradients.hh" | ||
| 28 | |||
| 29 | namespace Dumux { | ||
| 30 | |||
| 31 | /*! | ||
| 32 | * \ingroup NavierStokesModel | ||
| 33 | * \brief The flux variables class for the Navier-Stokes model using the staggered grid discretization. | ||
| 34 | */ | ||
| 35 | template<class TypeTag> | ||
| 36 | class NavierStokesMomentumFluxVariables | ||
| 37 | { | ||
| 38 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 39 | |||
| 40 | using GridVolumeVariables = typename GridVariables::GridVolumeVariables; | ||
| 41 | using ElementVolumeVariables = typename GridVolumeVariables::LocalView; | ||
| 42 | using VolumeVariables = typename GridVolumeVariables::VolumeVariables; | ||
| 43 | |||
| 44 | using GridFluxVariablesCache = typename GridVariables::GridFluxVariablesCache; | ||
| 45 | using ElementFluxVariablesCache = typename GridFluxVariablesCache::LocalView; | ||
| 46 | using FluxVariablesCache = typename GridFluxVariablesCache::FluxVariablesCache; | ||
| 47 | |||
| 48 | using GridGeometry = typename GridVariables::GridGeometry; | ||
| 49 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 50 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 51 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 52 | |||
| 53 | using ElementBoundaryTypes = GetPropType<TypeTag, Properties::ElementBoundaryTypes>; | ||
| 54 | |||
| 55 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 56 | using GridView = typename GridGeometry::GridView; | ||
| 57 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 58 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 59 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 60 | using Indices = typename ModelTraits::Indices; | ||
| 61 | using VelocityGradients = StaggeredVelocityGradients; | ||
| 62 | |||
| 63 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 64 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 65 | |||
| 66 | using NumEqVector = Dumux::NumEqVector<GetPropType<TypeTag, Properties::PrimaryVariables>>; | ||
| 67 | |||
| 68 | public: | ||
| 69 | |||
| 70 | 307628348 | NavierStokesMomentumFluxVariables(const Problem& problem, | |
| 71 | const Element& element, | ||
| 72 | const FVElementGeometry& fvGeometry, | ||
| 73 | const SubControlVolumeFace& scvFace, | ||
| 74 | const ElementVolumeVariables& elemVolVars, | ||
| 75 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 76 | const ElementBoundaryTypes& elemBcTypes) | ||
| 77 | 307628348 | : problemPtr_(&problem) | |
| 78 | 307628348 | , elementPtr_(&element) | |
| 79 | 307628348 | , fvGeometryPtr_(&fvGeometry) | |
| 80 | 307628348 | , scvFacePtr_(&scvFace) | |
| 81 | 307628348 | , elemVolVarsPtr_(&elemVolVars) | |
| 82 | 307628348 | , elemFluxVarsCachePtr_(&elemFluxVarsCache) | |
| 83 | 307628348 | , elemBcTypesPtr_(&elemBcTypes) | |
| 84 | { | ||
| 85 | static_assert( | ||
| 86 | std::decay_t<decltype(problem.dirichlet(element, scvFace))>::size() | ||
| 87 | == static_cast<std::size_t>(GridView::dimension), | ||
| 88 | "Expects problem.dirichlet to return an array with as many entries as dimensions." | ||
| 89 | ); | ||
| 90 | } | ||
| 91 | |||
| 92 | 1257876040 | const Problem& problem() const | |
| 93 | 1146778280 | { return *problemPtr_; } | |
| 94 | |||
| 95 | 242857288 | const Element& element() const | |
| 96 | 423740086 | { return *elementPtr_; } | |
| 97 | |||
| 98 | 1632753040 | const SubControlVolumeFace& scvFace() const | |
| 99 | 1633444136 | { return *scvFacePtr_; } | |
| 100 | |||
| 101 | 918473696 | const FVElementGeometry& fvGeometry() const | |
| 102 | 67109058 | { return *fvGeometryPtr_; } | |
| 103 | |||
| 104 | 611771108 | const ElementVolumeVariables& elemVolVars() const | |
| 105 | 102677388 | { return *elemVolVarsPtr_; } | |
| 106 | |||
| 107 | const ElementFluxVariablesCache& elemFluxVarsCache() const | ||
| 108 | { return *elemFluxVarsCachePtr_; } | ||
| 109 | |||
| 110 | 206751854 | const ElementBoundaryTypes& elemBcTypes() const | |
| 111 | 206751854 | { return *elemBcTypesPtr_; } | |
| 112 | |||
| 113 | /*! | ||
| 114 | * \brief Returns the diffusive momentum flux due to viscous forces | ||
| 115 | */ | ||
| 116 | 307628348 | NumEqVector advectiveMomentumFlux() const | |
| 117 | { | ||
| 118 |
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307628348 | if (!this->problem().enableInertiaTerms()) |
| 119 | 106162976 | return NumEqVector(0.0); | |
| 120 | |||
| 121 |
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201465372 | if (this->scvFace().isFrontal()) |
| 122 | 67109058 | return frontalAdvectiveMomentumFlux(); | |
| 123 | else | ||
| 124 | 134356314 | return lateralAdvectiveMomentumFlux(); | |
| 125 | } | ||
| 126 | |||
| 127 | /*! | ||
| 128 | * \brief Returns the diffusive momentum flux due to viscous forces | ||
| 129 | */ | ||
| 130 | 307628348 | NumEqVector diffusiveMomentumFlux() const | |
| 131 | { | ||
| 132 |
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307628348 | if (this->scvFace().isFrontal()) |
| 133 | 102677388 | return frontalDiffusiveMomentumFlux(); | |
| 134 | else | ||
| 135 | 204950960 | return lateralDiffusiveMomentumFlux(); | |
| 136 | } | ||
| 137 | |||
| 138 | /*! | ||
| 139 | * \brief Returns the frontal part of the momentum flux. | ||
| 140 | * This treats the flux over the staggered face at the center of an element, | ||
| 141 | * parallel to the current scvf where the velocity dof of interest lives. | ||
| 142 | * | ||
| 143 | * \verbatim | ||
| 144 | * scvf | ||
| 145 | * ---------======= == and # staggered half-control-volume | ||
| 146 | * | # | current scv | ||
| 147 | * | # | # staggered face over which fluxes are calculated | ||
| 148 | * vel.Opp |~~> O~~~> x~~~~> vel.Self | ||
| 149 | * | # | x dof position | ||
| 150 | * | # | | ||
| 151 | * --------======== -- element | ||
| 152 | * scvf | ||
| 153 | * O integration point | ||
| 154 | * \endverbatim | ||
| 155 | */ | ||
| 156 | 102677388 | NumEqVector frontalDiffusiveMomentumFlux() const | |
| 157 | { | ||
| 158 |
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102677388 | const auto& scvf = this->scvFace(); |
| 159 |
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102677388 | assert(scvf.isFrontal()); |
| 160 | |||
| 161 | 102677388 | NumEqVector result(0.0); | |
| 162 | 102677388 | const auto& fvGeometry = this->fvGeometry(); | |
| 163 |
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102677388 | const auto& elemVolVars = this->elemVolVars(); |
| 164 | |||
| 165 |
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102677388 | if (scvf.boundary()) |
| 166 | ✗ | return result; | |
| 167 | |||
| 168 | // get the velocity gradient at the normal face's integration point | ||
| 169 | 102677388 | const auto velGradII = VelocityGradients::velocityGradII(fvGeometry, scvf, elemVolVars); | |
| 170 | |||
| 171 |
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102677459 | static const bool enableUnsymmetrizedVelocityGradient |
| 172 |
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142 | = getParamFromGroup<bool>(this->problem().paramGroup(), "FreeFlow.EnableUnsymmetrizedVelocityGradient", false); |
| 173 |
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102677459 | static const Scalar factor = enableUnsymmetrizedVelocityGradient ? 1.0 : 2.0; |
| 174 | |||
| 175 | 102677388 | const auto mu = this->problem().effectiveViscosity(this->element(), this->fvGeometry(), this->scvFace()); | |
| 176 |
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102677388 | result -= factor * mu * velGradII * Extrusion::area(fvGeometry, scvf) * elemVolVars[scvf.insideScvIdx()].extrusionFactor() * scvf.directionSign(); |
| 177 | |||
| 178 |
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102677388 | static const bool enableDilatationTerm = getParamFromGroup<bool>(this->problem().paramGroup(), "FreeFlow.EnableDilatationTerm", false); |
| 179 |
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102677388 | if (enableDilatationTerm) |
| 180 | { | ||
| 181 | ✗ | Scalar divergence = velGradII; | |
| 182 | ✗ | for (const auto& scv : scvs(fvGeometry)) | |
| 183 | { | ||
| 184 | ✗ | const auto otherFrontalScvf = *(scvfs(fvGeometry, scv).begin()); | |
| 185 | ✗ | assert(otherFrontalScvf.isFrontal() && !otherFrontalScvf.boundary()); | |
| 186 | ✗ | if (otherFrontalScvf.index() != scvf.index()) | |
| 187 | ✗ | divergence += VelocityGradients::velocityGradII(fvGeometry, otherFrontalScvf, elemVolVars); | |
| 188 | } | ||
| 189 | |||
| 190 | ✗ | result += 2.0/3.0 * mu * divergence * scvf.directionSign() * Extrusion::area(fvGeometry, scvf) * elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 191 | } | ||
| 192 | |||
| 193 | 102677388 | return result; | |
| 194 | } | ||
| 195 | |||
| 196 | /*! | ||
| 197 | * \brief Returns the diffusive momentum flux over the staggered face perpendicular to the scvf | ||
| 198 | * where the velocity dof of interest lives (coinciding with the element's scvfs). | ||
| 199 | * | ||
| 200 | * \verbatim | ||
| 201 | * ---------------- | ||
| 202 | * | |vel. | ||
| 203 | * | in.norm. |Parallel | ||
| 204 | * | vel. |~~~~> | ||
| 205 | * | ^ | ^ out.norm.vel. | ||
| 206 | * | | | | | ||
| 207 | * scvf ---------#######::::::::: || and # staggered half-control-volume (own element) | ||
| 208 | * | || | curr. :: | ||
| 209 | * | || | scvf :: :: staggered half-control-volume (neighbor element) | ||
| 210 | * | || x~~~~> :: | ||
| 211 | * | || | vel. :: # lateral staggered faces over which fluxes are calculated | ||
| 212 | * scvf | || | Self :: | ||
| 213 | * ---------#######::::::::: x dof position | ||
| 214 | * scvf | ||
| 215 | * -- elements | ||
| 216 | * \endverbatim | ||
| 217 | */ | ||
| 218 | 204950960 | NumEqVector lateralDiffusiveMomentumFlux() const | |
| 219 | { | ||
| 220 |
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204950960 | const auto& scvf = this->scvFace(); |
| 221 |
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204950960 | assert(scvf.isLateral()); |
| 222 | |||
| 223 | 204950960 | NumEqVector result(0.0); | |
| 224 | 204950960 | const auto& fvGeometry = this->fvGeometry(); | |
| 225 | 204950960 | const auto& elemVolVars = this->elemVolVars(); | |
| 226 |
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204950960 | const auto& problem = this->problem(); |
| 227 |
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204950960 | const auto& scv = fvGeometry.scv(scvf.insideScvIdx()); |
| 228 | |||
| 229 |
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204951030 | static const bool enableUnsymmetrizedVelocityGradient |
| 230 |
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140 | = getParamFromGroup<bool>(problem.paramGroup(), "FreeFlow.EnableUnsymmetrizedVelocityGradient", false); |
| 231 | |||
| 232 | 204950960 | const auto mu = this->problem().effectiveViscosity(this->element(), this->fvGeometry(), this->scvFace()); | |
| 233 | |||
| 234 | // get the velocity gradient at the lateral face's integration point | ||
| 235 | 204950960 | const auto gradV = VelocityGradients::velocityGradient(fvGeometry, scvf, elemVolVars, this->elemBcTypes(), false); | |
| 236 | |||
| 237 | // Consider the shear stress caused by the gradient of the velocities parallel to our face of interest. | ||
| 238 | 204950960 | GlobalPosition gradVn(0.0); | |
| 239 |
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409901920 | gradV.mv(scvf.unitOuterNormal(), gradVn); |
| 240 |
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204950960 | const Scalar velocityGrad_ij = gradVn[scv.dofAxis()]; |
| 241 |
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204950960 | result -= mu * velocityGrad_ij; |
| 242 | |||
| 243 | // Consider the shear stress caused by the gradient of the velocities normal to our face of interest. | ||
| 244 |
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204950960 | if (!enableUnsymmetrizedVelocityGradient) |
| 245 | { | ||
| 246 |
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204950960 | GlobalPosition gradVTransposedN(0.0); |
| 247 |
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204950960 | gradV.mtv(scvf.unitOuterNormal(), gradVTransposedN); |
| 248 | 204950960 | const Scalar velocityGrad_ji = gradVTransposedN[scv.dofAxis()]; | |
| 249 | 204950960 | result -= mu * velocityGrad_ji; | |
| 250 | } | ||
| 251 | |||
| 252 | // Account for the area of the staggered lateral face. | ||
| 253 | 204950960 | return result * Extrusion::area(fvGeometry, scvf) * elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 254 | } | ||
| 255 | |||
| 256 | /*! | ||
| 257 | * \brief Returns the frontal pressure contribution. | ||
| 258 | * | ||
| 259 | * \verbatim | ||
| 260 | * | ||
| 261 | * ---------======= == and # staggered half-control-volume | ||
| 262 | * | # | current scv | ||
| 263 | * | # | # frontal staggered face for which pressure contribution is calculated | ||
| 264 | * | P x | ||
| 265 | * | # | x dof position | ||
| 266 | * | # | | ||
| 267 | * --------======== -- element | ||
| 268 | * | ||
| 269 | * P integration point, pressure DOF lives here | ||
| 270 | * \endverbatim | ||
| 271 | */ | ||
| 272 | 307628348 | NumEqVector pressureContribution() const | |
| 273 | { | ||
| 274 | 307628348 | NumEqVector result(0.0); | |
| 275 |
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307628348 | const auto& scvf = this->scvFace(); |
| 276 |
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307628348 | if (scvf.isLateral() || scvf.boundary()) |
| 277 | 204950960 | return result; | |
| 278 | |||
| 279 | // The pressure force needs to take the extruded scvf area into account. | ||
| 280 | 102677388 | const auto pressure = this->problem().pressure(this->element(), this->fvGeometry(), scvf); | |
| 281 | 102677388 | result = pressure*Extrusion::area(this->fvGeometry(), scvf)*this->elemVolVars()[scvf.insideScvIdx()].extrusionFactor(); | |
| 282 | |||
| 283 | // The pressure contribution calculated above might have a much larger numerical value compared to the viscous or inertial forces. | ||
| 284 | // This may lead to numerical inaccuracies due to loss of significance (cancellantion) for the final residual value. | ||
| 285 | // In the end, we are only interested in a pressure difference between the two relevant faces so we can | ||
| 286 | // subtract a reference value from the actual pressure contribution. Assuming an axisparallel cartesian grid, | ||
| 287 | // scvf.area() will have the same value at both opposing faces such that the reference pressure contribution | ||
| 288 | // cancels out in the final residual which combines the pressure contribution of two adjacent elements | ||
| 289 | // We explicitly do extrude the area here because that might yield different results in both elements. | ||
| 290 | // The multiplication by scvf.area() aims at having a reference value of the same order of magnitude as the actual pressure contribution. | ||
| 291 | 102677388 | const auto referencePressure = this->problem().referencePressure(this->element(), this->fvGeometry(), scvf); | |
| 292 | 102677388 | result -= referencePressure*scvf.area(); | |
| 293 | |||
| 294 | // Account for the orientation of the face. | ||
| 295 | 102677388 | result *= scvf.directionSign(); | |
| 296 | 102677388 | return result; | |
| 297 | } | ||
| 298 | |||
| 299 | /*! | ||
| 300 | * \brief Returns the frontal part of the momentum flux. | ||
| 301 | * This treats the flux over the staggered face at the center of an element, | ||
| 302 | * parallel to the current scvf where the velocity dof of interest lives. | ||
| 303 | * | ||
| 304 | * \verbatim | ||
| 305 | * scvf | ||
| 306 | * ---------======= == and # staggered half-control-volume | ||
| 307 | * | # | current scv | ||
| 308 | * | # | # staggered face over which fluxes are calculated | ||
| 309 | * vel.Opp |~~> O~~~> x~~~~> vel.Self | ||
| 310 | * | # | x dof position | ||
| 311 | * | # | | ||
| 312 | * --------======== -- element | ||
| 313 | * scvf | ||
| 314 | * O integration point | ||
| 315 | * \endverbatim | ||
| 316 | */ | ||
| 317 | 67109058 | NumEqVector frontalAdvectiveMomentumFlux() const | |
| 318 | { | ||
| 319 |
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67109058 | const auto& scvf = this->scvFace(); |
| 320 |
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67109058 | assert(scvf.isFrontal()); |
| 321 | |||
| 322 | 67109058 | const auto& problem = this->problem(); | |
| 323 | 67109058 | const auto& elemVolVars = this->elemVolVars(); | |
| 324 | 67109058 | const auto velocitySelf = elemVolVars[scvf.insideScvIdx()].velocity(); | |
| 325 |
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67109058 | const auto velocityOpposite = elemVolVars[scvf.outsideScvIdx()].velocity(); |
| 326 | |||
| 327 | // Get the average velocity at the center of the element (i.e. the location of the staggered face). | ||
| 328 | 67109058 | const Scalar transportingVelocity = (velocitySelf + velocityOpposite) * 0.5; | |
| 329 |
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67109058 | const Scalar density = this->problem().density(this->element(), this->fvGeometry(), scvf); |
| 330 |
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67109058 | const bool selfIsUpstream = scvf.directionSign() == sign(transportingVelocity); |
| 331 | |||
| 332 | // TODO use higher order helper | ||
| 333 |
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67109058 | static const auto upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight"); |
| 334 |
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67109058 | const Scalar transportedMomentum = selfIsUpstream ? (upwindWeight * velocitySelf + (1.0 - upwindWeight) * velocityOpposite) * density |
| 335 | 37234413 | : (upwindWeight * velocityOpposite + (1.0 - upwindWeight) * velocitySelf) * density; | |
| 336 | |||
| 337 | 67109058 | return transportingVelocity * transportedMomentum * scvf.directionSign() * Extrusion::area(this->fvGeometry(), scvf) * extrusionFactor_(elemVolVars, scvf); | |
| 338 | } | ||
| 339 | |||
| 340 | /*! | ||
| 341 | * \brief Returns the advective momentum flux over the staggered face perpendicular to the scvf | ||
| 342 | * where the velocity dof of interest lives (coinciding with the element's scvfs). | ||
| 343 | * | ||
| 344 | * \verbatim | ||
| 345 | * ---------------- | ||
| 346 | * | inner | | ||
| 347 | * | transp. | | ||
| 348 | * | vel. |~~~~> outer vel. | ||
| 349 | * | ^ | | ||
| 350 | * | | | | ||
| 351 | * ---------######O || and # staggered half-control-volume | ||
| 352 | * | || | scv | ||
| 353 | * | || | # lateral staggered faces over which fluxes are calculated | ||
| 354 | * | || x~~~~> inner vel. | ||
| 355 | * | || | x dof position | ||
| 356 | * | || | | ||
| 357 | * ---------####### -- elements | ||
| 358 | * | ||
| 359 | * O integration point | ||
| 360 | * \endverbatim | ||
| 361 | */ | ||
| 362 | 134356314 | NumEqVector lateralAdvectiveMomentumFlux() const | |
| 363 | { | ||
| 364 |
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134356314 | const auto& scvf = this->scvFace(); |
| 365 |
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134356314 | assert(scvf.isLateral()); |
| 366 | |||
| 367 | 134356314 | const auto& problem = this->problem(); | |
| 368 | 134356314 | const auto& elemVolVars = this->elemVolVars(); | |
| 369 | 134356314 | const auto fvGeometry = this->fvGeometry(); | |
| 370 | |||
| 371 | // get the transporting velocity which is perpendicular to our own (inner) velocity | ||
| 372 | 403068942 | const Scalar transportingVelocity = [&]() | |
| 373 | { | ||
| 374 | 134356314 | const auto& orthogonalScvf = fvGeometry.lateralOrthogonalScvf(scvf); | |
| 375 |
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134356314 | const Scalar innerTransportingVelocity = elemVolVars[orthogonalScvf.insideScvIdx()].velocity(); |
| 376 | |||
| 377 |
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134356314 | static const bool useOldScheme = getParam<bool>("FreeFlow.UseOldTransportingVelocity", true); // TODO how to deprecate? |
| 378 | |||
| 379 |
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134356314 | if (useOldScheme) |
| 380 | { | ||
| 381 |
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134356314 | if (scvf.boundary() && fvGeometry.scv(scvf.insideScvIdx()).boundary()) |
| 382 | { | ||
| 383 | ✗ | if (this->elemBcTypes()[scvf.localIndex()].isDirichlet(scvf.normalAxis())) | |
| 384 | ✗ | return problem.dirichlet(this->element(), scvf)[scvf.normalAxis()]; | |
| 385 | } | ||
| 386 | else | ||
| 387 | return innerTransportingVelocity; | ||
| 388 | } | ||
| 389 | |||
| 390 | // use the Dirichlet velocity as transporting velocity if the lateral face is on a Dirichlet boundary | ||
| 391 | ✗ | if (scvf.boundary()) | |
| 392 | { | ||
| 393 | ✗ | if (this->elemBcTypes()[scvf.localIndex()].isDirichlet(scvf.normalAxis())) | |
| 394 | ✗ | return 0.5*(problem.dirichlet(this->element(), scvf)[scvf.normalAxis()] + innerTransportingVelocity); | |
| 395 | } | ||
| 396 | |||
| 397 | ✗ | if (orthogonalScvf.boundary()) | |
| 398 | { | ||
| 399 | ✗ | if (this->elemBcTypes()[orthogonalScvf.localIndex()].isDirichlet(scvf.normalAxis())) | |
| 400 | ✗ | return 0.5*(problem.dirichlet(this->element(), scvf)[scvf.normalAxis()] + innerTransportingVelocity); | |
| 401 | else | ||
| 402 | return innerTransportingVelocity; // fallback value, should actually never be called | ||
| 403 | } | ||
| 404 | |||
| 405 | // average the transporting velocity by weighting with the scv volumes | ||
| 406 | ✗ | const auto insideVolume = fvGeometry.scv(orthogonalScvf.insideScvIdx()).volume(); | |
| 407 | ✗ | const auto outsideVolume = fvGeometry.scv(orthogonalScvf.outsideScvIdx()).volume(); | |
| 408 | ✗ | const auto outerTransportingVelocity = elemVolVars[orthogonalScvf.outsideScvIdx()].velocity(); | |
| 409 | ✗ | return (insideVolume*innerTransportingVelocity + outsideVolume*outerTransportingVelocity) / (insideVolume + outsideVolume); | |
| 410 | 134356314 | }(); | |
| 411 | |||
| 412 | 403068942 | const Scalar transportedMomentum = [&]() | |
| 413 | { | ||
| 414 |
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134356314 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 415 | |||
| 416 | 136252136 | auto getDirichletMomentumFlux = [&]() | |
| 417 | { | ||
| 418 |
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2325058 | return problem.dirichlet(this->element(), scvf)[insideScv.dofAxis()] * this->problem().density(this->element(), insideScv); |
| 419 | }; | ||
| 420 | |||
| 421 | // use the Dirichlet velocity as for transported momentum if the lateral face is on a Dirichlet boundary | ||
| 422 |
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134356314 | if (scvf.boundary()) |
| 423 | { | ||
| 424 |
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1800894 | if (!this->elemBcTypes()[scvf.localIndex()].isDirichlet(insideScv.dofAxis())) |
| 425 | ✗ | DUNE_THROW(Dune::InvalidStateException, "Neither Dirichlet nor Neumann BC set at " << scvf.ipGlobal()); | |
| 426 | |||
| 427 | 1800894 | return getDirichletMomentumFlux(); | |
| 428 | } | ||
| 429 | else | ||
| 430 | { | ||
| 431 |
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132555420 | if (fvGeometry.scvfIntegrationPointInConcaveCorner(scvf)) |
| 432 | { | ||
| 433 | // TODO: we could put this into an assert, as the construction of outsideScvfWithSameIntegrationPoint is quite expensive | ||
| 434 | 94928 | const auto& outsideScvfWithSameIntegrationPoint = fvGeometry.outsideScvfWithSameIntegrationPoint(scvf); | |
| 435 |
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94928 | if (!this->problem().boundaryTypes(this->element(), outsideScvfWithSameIntegrationPoint).isDirichlet(insideScv.dofAxis())) |
| 436 | ✗ | DUNE_THROW(Dune::InvalidStateException, "Neither Dirichlet nor Neumann BC set at " << outsideScvfWithSameIntegrationPoint.ipGlobal()); | |
| 437 | |||
| 438 | 94928 | return getDirichletMomentumFlux(); | |
| 439 | } | ||
| 440 | } | ||
| 441 | |||
| 442 | 132460492 | const bool selfIsUpstream = scvf.directionSign() == sign(transportingVelocity); | |
| 443 | |||
| 444 | 132460492 | const auto innerVelocity = elemVolVars[scvf.insideScvIdx()].velocity(); | |
| 445 |
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132460492 | const auto outerVelocity = elemVolVars[scvf.outsideScvIdx()].velocity(); |
| 446 | |||
| 447 |
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132460492 | const auto rho = this->problem().insideAndOutsideDensity(this->element(), fvGeometry, scvf); |
| 448 | |||
| 449 | 132460492 | const auto insideMomentum = innerVelocity * rho.first; | |
| 450 | 132460492 | const auto outsideMomentum = outerVelocity * rho.second; | |
| 451 | |||
| 452 | // TODO use higher order helper | ||
| 453 |
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132460492 | static const auto upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight"); |
| 454 | |||
| 455 |
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132460492 | return selfIsUpstream ? (upwindWeight * insideMomentum + (1.0 - upwindWeight) * outsideMomentum) |
| 456 | 74288124 | : (upwindWeight * outsideMomentum + (1.0 - upwindWeight) * insideMomentum); | |
| 457 | 134356314 | }(); | |
| 458 | |||
| 459 | 134356314 | return transportingVelocity * transportedMomentum * scvf.directionSign() * Extrusion::area(fvGeometry, scvf) * extrusionFactor_(elemVolVars, scvf); | |
| 460 | } | ||
| 461 | |||
| 462 | private: | ||
| 463 | |||
| 464 | template<class ElementVolumeVariables, class SubControlVolumeFace> | ||
| 465 | 201465372 | Scalar extrusionFactor_(const ElementVolumeVariables& elemVolVars, const SubControlVolumeFace& scvf) const | |
| 466 | { | ||
| 467 | 201465372 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 468 |
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201465372 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; |
| 469 |
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201465372 | return harmonicMean(insideVolVars.extrusionFactor(), outsideVolVars.extrusionFactor()); |
| 470 | } | ||
| 471 | |||
| 472 | |||
| 473 | const Problem* problemPtr_; //!< Pointer to the problem | ||
| 474 | const Element* elementPtr_; //!< Pointer to the element at hand | ||
| 475 | const FVElementGeometry* fvGeometryPtr_; //!< Pointer to the current FVElementGeometry | ||
| 476 | const SubControlVolumeFace* scvFacePtr_; //!< Pointer to the sub control volume face for which the flux variables are created | ||
| 477 | const ElementVolumeVariables* elemVolVarsPtr_; //!< Pointer to the current element volume variables | ||
| 478 | const ElementFluxVariablesCache* elemFluxVarsCachePtr_; //!< Pointer to the current element flux variables cache | ||
| 479 | const ElementBoundaryTypes* elemBcTypesPtr_; //!< Pointer to element boundary types | ||
| 480 | }; | ||
| 481 | |||
| 482 | } // end namespace Dumux | ||
| 483 | |||
| 484 | #endif // DUMUX_NAVIERSTOKES_STAGGERED_FLUXVARIABLES_HH | ||
| 485 |