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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 NonEquilibriumModel | ||
| 10 | * \brief This class contains the volume variables required for the | ||
| 11 | * modules which require the specific interfacial area between | ||
| 12 | * fluid phases. | ||
| 13 | * | ||
| 14 | * This files contains all specializations which use 'real' | ||
| 15 | * interfacial areas. | ||
| 16 | */ | ||
| 17 | |||
| 18 | #ifndef DUMUX_NONEQUILIBRIUM_VOLUME_VARIABLES_HH | ||
| 19 | #define DUMUX_NONEQUILIBRIUM_VOLUME_VARIABLES_HH | ||
| 20 | |||
| 21 | #include <cassert> | ||
| 22 | #include <array> | ||
| 23 | |||
| 24 | #include <dumux/common/dimensionlessnumbers.hh> | ||
| 25 | #include <dumux/common/parameters.hh> | ||
| 26 | |||
| 27 | namespace Dumux { | ||
| 28 | |||
| 29 | /*! | ||
| 30 | * \ingroup NonEquilibriumModel | ||
| 31 | * \brief This class contains the volume variables required for the | ||
| 32 | * modules which require the specific interfacial area between | ||
| 33 | * fluid phases. | ||
| 34 | */ | ||
| 35 | template<class Traits, class EquilibriumVolumeVariables, bool enableChemicalNonEquilibrium, | ||
| 36 | bool enableThermalNonEquilibrium, int numEnergyEqFluid> | ||
| 37 | class NonEquilibriumVolumeVariablesImplementation; | ||
| 38 | |||
| 39 | template<class Traits, class EquilibriumVolumeVariables> | ||
| 40 | using NonEquilibriumVolumeVariables = | ||
| 41 | NonEquilibriumVolumeVariablesImplementation<Traits, | ||
| 42 | EquilibriumVolumeVariables, | ||
| 43 | Traits::ModelTraits::enableChemicalNonEquilibrium(), | ||
| 44 | Traits::ModelTraits::enableThermalNonEquilibrium(), | ||
| 45 | Traits::ModelTraits::numEnergyEqFluid()>; | ||
| 46 | |||
| 47 | ///////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 48 | // specialization for the case of NO kinetic mass but kinetic energy transfer of two fluids and a solid | ||
| 49 | ///////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 50 | template<class Traits, class EquilibriumVolumeVariables> | ||
| 51 | class NonEquilibriumVolumeVariablesImplementation<Traits, | ||
| 52 | EquilibriumVolumeVariables, | ||
| 53 | false/*chemicalNonEquilibrium?*/, | ||
| 54 | true/*thermalNonEquilibrium?*/, | ||
| 55 | 2> | ||
| 56 | : public EquilibriumVolumeVariables | ||
| 57 | { | ||
| 58 | using ParentType = EquilibriumVolumeVariables; | ||
| 59 | using ParameterCache = typename Traits::FluidSystem::ParameterCache; | ||
| 60 | using Scalar = typename Traits::PrimaryVariables::value_type; | ||
| 61 | |||
| 62 | using ModelTraits = typename Traits::ModelTraits; | ||
| 63 | |||
| 64 | using FS = typename Traits::FluidSystem; | ||
| 65 | static constexpr auto numEnergyEqFluid = ModelTraits::numEnergyEqFluid(); | ||
| 66 | static constexpr auto numEnergyEqSolid = ModelTraits::numEnergyEqSolid(); | ||
| 67 | |||
| 68 | static constexpr auto phase0Idx = FS::phase0Idx; | ||
| 69 | static constexpr auto phase1Idx = FS::phase1Idx; | ||
| 70 | static constexpr auto sPhaseIdx = FS::numPhases; | ||
| 71 | |||
| 72 | using DimLessNum = DimensionlessNumbers<Scalar>; | ||
| 73 | |||
| 74 | using NumFluidPhasesArray = std::array<Scalar, ModelTraits::numFluidPhases()>; | ||
| 75 | using InterfacialAreasArray = std::array<std::array<Scalar, ModelTraits::numFluidPhases()+numEnergyEqSolid>, | ||
| 76 | ModelTraits::numFluidPhases()+numEnergyEqSolid>; | ||
| 77 | |||
| 78 | public: | ||
| 79 | using FluidState = typename Traits::FluidState; | ||
| 80 | using Indices = typename ModelTraits::Indices; | ||
| 81 | /*! | ||
| 82 | * \brief Update all quantities for a given control volume | ||
| 83 | * | ||
| 84 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 85 | * \param problem The object specifying the problem which ought to be simulated | ||
| 86 | * \param element An element which contains part of the control volume | ||
| 87 | * \param scv The sub-control volume | ||
| 88 | */ | ||
| 89 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 90 | void update(const ElemSol &elemSol, | ||
| 91 | const Problem &problem, | ||
| 92 | const Element &element, | ||
| 93 | const Scv& scv) | ||
| 94 | { | ||
| 95 | // Update parent type (also completes the fluid state) | ||
| 96 | ParentType::update(elemSol, problem, element, scv); | ||
| 97 | |||
| 98 | ParameterCache paramCache; | ||
| 99 | paramCache.updateAll(this->fluidState()); | ||
| 100 | updateDimLessNumbers(elemSol, this->fluidState(), paramCache, problem, element, scv); | ||
| 101 | updateInterfacialArea(elemSol, this->fluidState(), paramCache, problem, element, scv); | ||
| 102 | } | ||
| 103 | |||
| 104 | /*! | ||
| 105 | * \brief Updates dimensionless numbers | ||
| 106 | * | ||
| 107 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 108 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 109 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 110 | * \param problem The problem to be solved | ||
| 111 | * \param element An element which contains part of the control volume | ||
| 112 | * \param scv The sub-control volume | ||
| 113 | */ | ||
| 114 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 115 | void updateDimLessNumbers(const ElemSol& elemSol, | ||
| 116 | const FluidState& fluidState, | ||
| 117 | const ParameterCache& paramCache, | ||
| 118 | const Problem& problem, | ||
| 119 | const Element& element, | ||
| 120 | const Scv& scv) | ||
| 121 | { | ||
| 122 | const auto& spatialParams = problem.spatialParams(); | ||
| 123 | factorEnergyTransfer_ = spatialParams.factorEnergyTransfer(element, scv, elemSol); | ||
| 124 | characteristicLength_ = spatialParams.characteristicLength(element, scv, elemSol); | ||
| 125 | |||
| 126 | // set the dimensionless numbers and obtain respective quantities | ||
| 127 | const unsigned int vIdxGlobal = scv.dofIndex(); | ||
| 128 | for (int phaseIdx = 0; phaseIdx < ModelTraits::numFluidPhases(); ++phaseIdx) | ||
| 129 | { | ||
| 130 | const auto darcyMagVelocity = problem.gridVariables().volumeDarcyMagVelocity(phaseIdx, vIdxGlobal); | ||
| 131 | const auto dynamicViscosity = fluidState.viscosity(phaseIdx); | ||
| 132 | const auto density = fluidState.density(phaseIdx); | ||
| 133 | const auto kinematicViscosity = dynamicViscosity/density; | ||
| 134 | |||
| 135 | using FluidSystem = typename Traits::FluidSystem; | ||
| 136 | const auto heatCapacity = FluidSystem::heatCapacity(fluidState, paramCache, phaseIdx); | ||
| 137 | const auto thermalConductivity = FluidSystem::thermalConductivity(fluidState, paramCache, phaseIdx); | ||
| 138 | const auto porosity = this->porosity(); | ||
| 139 | |||
| 140 | reynoldsNumber_[phaseIdx] = DimLessNum::reynoldsNumber(darcyMagVelocity, characteristicLength_,kinematicViscosity); | ||
| 141 | prandtlNumber_[phaseIdx] = DimLessNum::prandtlNumber(dynamicViscosity, heatCapacity, thermalConductivity); | ||
| 142 | nusseltNumber_[phaseIdx] = DimLessNum::nusseltNumberForced(reynoldsNumber_[phaseIdx], | ||
| 143 | prandtlNumber_[phaseIdx], | ||
| 144 | porosity, | ||
| 145 | ModelTraits::nusseltFormulation()); | ||
| 146 | |||
| 147 | } | ||
| 148 | } | ||
| 149 | |||
| 150 | /*! | ||
| 151 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the phases. | ||
| 152 | * | ||
| 153 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 154 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 155 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 156 | * \param problem The problem to be solved | ||
| 157 | * \param element An element which contains part of the control volume | ||
| 158 | * \param scv The sub-control volume | ||
| 159 | */ | ||
| 160 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 161 | void updateInterfacialArea(const ElemSol& elemSol, | ||
| 162 | const FluidState& fluidState, | ||
| 163 | const ParameterCache& paramCache, | ||
| 164 | const Problem& problem, | ||
| 165 | const Element& element, | ||
| 166 | const Scv& scv) | ||
| 167 | { | ||
| 168 | const Scalar pc = fluidState.pressure(phase1Idx) - fluidState.pressure(phase0Idx); | ||
| 169 | const Scalar Sw = fluidState.saturation(phase0Idx); | ||
| 170 | |||
| 171 | const auto fluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(element, scv, elemSol); | ||
| 172 | const auto areaWN = fluidMatrixInteraction.wettingNonwettingInterface().area(Sw, pc); | ||
| 173 | const auto areaNS = fluidMatrixInteraction.nonwettingSolidInterface().area(Sw, pc); | ||
| 174 | interfacialArea_[phase0Idx][phase1Idx] = areaWN; | ||
| 175 | interfacialArea_[phase1Idx][phase0Idx] = interfacialArea_[phase0Idx][phase1Idx]; | ||
| 176 | interfacialArea_[phase0Idx][phase0Idx] = 0.0; | ||
| 177 | |||
| 178 | // Switch for using a a_{wn} relations that has some "maximum capillary pressure" as parameter | ||
| 179 | // That value is obtained by regularization of the pc(Sw) function. | ||
| 180 | static const bool computeAwsFromAnsAndPcMax = getParam<bool>("SpatialParams.ComputeAwsFromAnsAndPcMax", true); | ||
| 181 | if (computeAwsFromAnsAndPcMax) | ||
| 182 | { | ||
| 183 | // I know the solid surface from the pore network. But it is more consistent to use the fit value. | ||
| 184 | const Scalar pcMax = fluidMatrixInteraction.wettingNonwettingInterface().basicParams().pcMax(); | ||
| 185 | const auto solidSurface = fluidMatrixInteraction.nonwettingSolidInterface().area(/*Sw=*/0., pcMax); | ||
| 186 | interfacialArea_[phase0Idx][sPhaseIdx] = solidSurface - areaNS; | ||
| 187 | } | ||
| 188 | else | ||
| 189 | interfacialArea_[phase0Idx][sPhaseIdx] = fluidMatrixInteraction.wettingSolidInterface().area(Sw, pc); | ||
| 190 | |||
| 191 | interfacialArea_[sPhaseIdx][phase0Idx] = interfacialArea_[phase0Idx][sPhaseIdx]; | ||
| 192 | interfacialArea_[sPhaseIdx][sPhaseIdx] = 0.0; | ||
| 193 | |||
| 194 | interfacialArea_[phase1Idx][sPhaseIdx] = areaNS; | ||
| 195 | interfacialArea_[sPhaseIdx][phase1Idx] = interfacialArea_[phase1Idx][sPhaseIdx]; | ||
| 196 | interfacialArea_[phase1Idx][phase1Idx] = 0.0; | ||
| 197 | } | ||
| 198 | |||
| 199 | /*! | ||
| 200 | * \brief The specific interfacial area between two fluid phases [m^2 / m^3] | ||
| 201 | * \note This is _only_ required by the kinetic mass/energy modules | ||
| 202 | */ | ||
| 203 | const Scalar interfacialArea(const unsigned int phaseIIdx, const unsigned int phaseJIdx) const | ||
| 204 | { | ||
| 205 | // there is no interfacial area between a phase and itself | ||
| 206 | assert(phaseIIdx not_eq phaseJIdx); | ||
| 207 | return interfacialArea_[phaseIIdx][phaseJIdx]; | ||
| 208 | } | ||
| 209 | |||
| 210 | //! access function Reynolds Number | ||
| 211 | const Scalar reynoldsNumber(const unsigned int phaseIdx) const | ||
| 212 | { return reynoldsNumber_[phaseIdx]; } | ||
| 213 | |||
| 214 | //! access function Prandtl Number | ||
| 215 | const Scalar prandtlNumber(const unsigned int phaseIdx) const | ||
| 216 | { return prandtlNumber_[phaseIdx]; } | ||
| 217 | |||
| 218 | //! access function Nusselt Number | ||
| 219 | const Scalar nusseltNumber(const unsigned int phaseIdx) const | ||
| 220 | { return nusseltNumber_[phaseIdx]; } | ||
| 221 | |||
| 222 | //! access function characteristic length | ||
| 223 | const Scalar characteristicLength() const | ||
| 224 | { return characteristicLength_; } | ||
| 225 | |||
| 226 | //! access function pre factor energy transfer | ||
| 227 | const Scalar factorEnergyTransfer() const | ||
| 228 | { return factorEnergyTransfer_; } | ||
| 229 | |||
| 230 | private: | ||
| 231 | //! dimensionless numbers | ||
| 232 | NumFluidPhasesArray reynoldsNumber_; | ||
| 233 | NumFluidPhasesArray prandtlNumber_; | ||
| 234 | NumFluidPhasesArray nusseltNumber_; | ||
| 235 | |||
| 236 | Scalar characteristicLength_; | ||
| 237 | Scalar factorEnergyTransfer_; | ||
| 238 | InterfacialAreasArray interfacialArea_; | ||
| 239 | }; | ||
| 240 | |||
| 241 | ///////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 242 | // specialization for the case of NO kinetic mass but kinetic energy transfer of a fluid mixture and a solid | ||
| 243 | ///////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 244 | template<class Traits, class EquilibriumVolumeVariables> | ||
| 245 | 1070190 | class NonEquilibriumVolumeVariablesImplementation<Traits, | |
| 246 | EquilibriumVolumeVariables, | ||
| 247 | false/*chemicalNonEquilibrium?*/, | ||
| 248 | true/*thermalNonEquilibrium?*/, | ||
| 249 | 1> | ||
| 250 | : public EquilibriumVolumeVariables | ||
| 251 | { | ||
| 252 | using ParentType = EquilibriumVolumeVariables; | ||
| 253 | using ParameterCache = typename Traits::FluidSystem::ParameterCache; | ||
| 254 | using Scalar = typename Traits::PrimaryVariables::value_type; | ||
| 255 | |||
| 256 | using ModelTraits = typename Traits::ModelTraits; | ||
| 257 | using FS = typename Traits::FluidSystem; | ||
| 258 | static constexpr auto numEnergyEqFluid = ModelTraits::numEnergyEqFluid(); | ||
| 259 | static constexpr auto numEnergyEqSolid = ModelTraits::numEnergyEqSolid(); | ||
| 260 | |||
| 261 | using DimLessNum = DimensionlessNumbers<Scalar>; | ||
| 262 | |||
| 263 | using NumFluidPhasesArray = std::array<Scalar, ModelTraits::numFluidPhases()>; | ||
| 264 | |||
| 265 | public: | ||
| 266 | using Indices = typename ModelTraits::Indices; | ||
| 267 | using FluidState = typename Traits::FluidState; | ||
| 268 | |||
| 269 | /*! | ||
| 270 | * \brief Update all quantities for a given control volume | ||
| 271 | * | ||
| 272 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 273 | * \param problem The object specifying the problem which ought to | ||
| 274 | * be simulated | ||
| 275 | * \param element An element which contains part of the control volume | ||
| 276 | * \param scv The sub-control volume | ||
| 277 | */ | ||
| 278 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 279 | 1391823 | void update(const ElemSol &elemSol, | |
| 280 | const Problem &problem, | ||
| 281 | const Element &element, | ||
| 282 | const Scv& scv) | ||
| 283 | { | ||
| 284 | // Update parent type (also completes the fluid state) | ||
| 285 | 1391823 | ParentType::update(elemSol, problem, element, scv); | |
| 286 | |||
| 287 | ParameterCache paramCache; | ||
| 288 | 2783646 | paramCache.updateAll(this->fluidState()); | |
| 289 | //only update of DimLessNumbers is necessary here, as interfacial area | ||
| 290 | // is easy due to only one fluid with a solid and is directly computed in localresidual | ||
| 291 | 1391823 | updateDimLessNumbers(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 292 | 2783646 | updateInterfacialArea(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 293 | 1391823 | } | |
| 294 | |||
| 295 | /*! | ||
| 296 | * \brief Updates dimensionless numbers | ||
| 297 | * | ||
| 298 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 299 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 300 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 301 | * \param problem The problem to be solved | ||
| 302 | * \param element An element which contains part of the control volume | ||
| 303 | * \param scv The sub-control volume | ||
| 304 | */ | ||
| 305 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 306 | 1391823 | void updateDimLessNumbers(const ElemSol& elemSol, | |
| 307 | const FluidState& fluidState, | ||
| 308 | const ParameterCache& paramCache, | ||
| 309 | const Problem& problem, | ||
| 310 | const Element& element, | ||
| 311 | const Scv& scv) | ||
| 312 | { | ||
| 313 | 1391823 | const auto& spatialParams = problem.spatialParams(); | |
| 314 | 1391823 | factorEnergyTransfer_ = spatialParams.factorEnergyTransfer(element, scv, elemSol); | |
| 315 | 1391823 | characteristicLength_ = spatialParams.characteristicLength(element, scv, elemSol); | |
| 316 | |||
| 317 | // set the dimensionless numbers and obtain respective quantities | ||
| 318 | 1391823 | const unsigned int vIdxGlobal = scv.dofIndex(); | |
| 319 |
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2783646 | for (int phaseIdx = 0; phaseIdx < ModelTraits::numFluidPhases(); ++phaseIdx) |
| 320 | { | ||
| 321 |
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2783646 | const auto darcyMagVelocity = problem.gridVariables().volumeDarcyMagVelocity(phaseIdx, vIdxGlobal); |
| 322 |
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1391823 | const auto dynamicViscosity = fluidState.viscosity(phaseIdx); |
| 323 |
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1391823 | const auto density = fluidState.density(phaseIdx); |
| 324 | 1391823 | const auto kinematicViscosity = dynamicViscosity/density; | |
| 325 | |||
| 326 | using FluidSystem = typename Traits::FluidSystem; | ||
| 327 |
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1391823 | const auto heatCapacity = FluidSystem::heatCapacity(fluidState, paramCache, phaseIdx); |
| 328 |
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1391823 | const auto thermalConductivity = FluidSystem::thermalConductivity(fluidState, paramCache, phaseIdx); |
| 329 | 1391823 | const auto porosity = this->porosity(); | |
| 330 | |||
| 331 | 2783646 | reynoldsNumber_[phaseIdx] = DimLessNum::reynoldsNumber(darcyMagVelocity, characteristicLength_,kinematicViscosity); | |
| 332 | 2783646 | prandtlNumber_[phaseIdx] = DimLessNum::prandtlNumber(dynamicViscosity, heatCapacity, thermalConductivity); | |
| 333 | 1391823 | nusseltNumber_[phaseIdx] = DimLessNum::nusseltNumberForced(reynoldsNumber_[phaseIdx], | |
| 334 | 2783646 | prandtlNumber_[phaseIdx], | |
| 335 | porosity, | ||
| 336 | ModelTraits::nusseltFormulation()); | ||
| 337 | } | ||
| 338 | 1391823 | } | |
| 339 | |||
| 340 | |||
| 341 | /*! | ||
| 342 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the solid and the fluid phase. | ||
| 343 | * | ||
| 344 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 345 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 346 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 347 | * \param problem The problem to be solved | ||
| 348 | * \param element An element which contains part of the control volume | ||
| 349 | * \param scv The sub-control volume | ||
| 350 | */ | ||
| 351 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 352 | ✗ | void updateInterfacialArea(const ElemSol& elemSol, | |
| 353 | const FluidState& fluidState, | ||
| 354 | const ParameterCache& paramCache, | ||
| 355 | const Problem& problem, | ||
| 356 | const Element& element, | ||
| 357 | const Scv& scv) | ||
| 358 | { | ||
| 359 | using FluidSolidInterfacialAreaFormulation = typename Problem::SpatialParams::FluidSolidInterfacialAreaFormulation; | ||
| 360 | 4175469 | interfacialArea_ = FluidSolidInterfacialAreaFormulation::fluidSolidInterfacialArea(this->porosity(), characteristicLength()); | |
| 361 | ✗ | } | |
| 362 | |||
| 363 | //! access function Reynolds Number | ||
| 364 | const Scalar reynoldsNumber(const unsigned int phaseIdx) const | ||
| 365 | 91600 | { return reynoldsNumber_[phaseIdx]; } | |
| 366 | |||
| 367 | //! access function Prandtl Number | ||
| 368 | const Scalar prandtlNumber(const unsigned int phaseIdx) const | ||
| 369 | 91600 | { return prandtlNumber_[phaseIdx]; } | |
| 370 | |||
| 371 | //! access function Nusselt Number | ||
| 372 | const Scalar nusseltNumber(const unsigned int phaseIdx) const | ||
| 373 |
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5010400 | { return nusseltNumber_[phaseIdx]; } |
| 374 | |||
| 375 | //! access function characteristic length | ||
| 376 | ✗ | const Scalar characteristicLength() const | |
| 377 | ✗ | { return characteristicLength_; } | |
| 378 | |||
| 379 | //! access function pre factor energy transfer | ||
| 380 | ✗ | const Scalar factorEnergyTransfer() const | |
| 381 | ✗ | { return factorEnergyTransfer_; } | |
| 382 | |||
| 383 | ✗ | const Scalar fluidSolidInterfacialArea() const | |
| 384 | ✗ | {return interfacialArea_;} | |
| 385 | |||
| 386 | private: | ||
| 387 | //! dimensionless numbers | ||
| 388 | NumFluidPhasesArray reynoldsNumber_; | ||
| 389 | NumFluidPhasesArray prandtlNumber_; | ||
| 390 | NumFluidPhasesArray nusseltNumber_; | ||
| 391 | |||
| 392 | Scalar characteristicLength_; | ||
| 393 | Scalar factorEnergyTransfer_; | ||
| 394 | Scalar interfacialArea_ ; | ||
| 395 | }; | ||
| 396 | |||
| 397 | //////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 398 | // specialization for the case of (only) kinetic mass transfer. Be careful, we do not test this! | ||
| 399 | //////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 400 | template<class Traits, class EquilibriumVolumeVariables> | ||
| 401 |
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173272 | class NonEquilibriumVolumeVariablesImplementation<Traits, |
| 402 | EquilibriumVolumeVariables, | ||
| 403 | true/*chemicalNonEquilibrium?*/, | ||
| 404 | false/*thermalNonEquilibrium?*/, | ||
| 405 | 0> | ||
| 406 | : public EquilibriumVolumeVariables | ||
| 407 | { | ||
| 408 | using ParentType = EquilibriumVolumeVariables; | ||
| 409 | using FluidState = typename Traits::FluidState; | ||
| 410 | using FS = typename Traits::FluidSystem; | ||
| 411 | using ParameterCache = typename Traits::FluidSystem::ParameterCache; | ||
| 412 | using Scalar = typename Traits::PrimaryVariables::value_type; | ||
| 413 | |||
| 414 | using ModelTraits = typename Traits::ModelTraits; | ||
| 415 | |||
| 416 | static constexpr auto phase0Idx = FS::phase0Idx; | ||
| 417 | static constexpr auto phase1Idx = FS::phase1Idx; | ||
| 418 | static constexpr auto wCompIdx = FS::comp0Idx; | ||
| 419 | static constexpr auto nCompIdx = FS::comp1Idx; | ||
| 420 | |||
| 421 | using DimLessNum = DimensionlessNumbers<Scalar>; | ||
| 422 | |||
| 423 | using NumFluidPhasesArray = std::array<Scalar, ModelTraits::numFluidPhases()>; | ||
| 424 | |||
| 425 | public: | ||
| 426 | using Indices = typename ModelTraits::Indices; | ||
| 427 | /*! | ||
| 428 | * \brief Update all quantities for a given control volume | ||
| 429 | * | ||
| 430 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 431 | * \param problem The object specifying the problem which ought to | ||
| 432 | * be simulated | ||
| 433 | * \param element An element which contains part of the control volume | ||
| 434 | * \param scv The sub-control volume | ||
| 435 | */ | ||
| 436 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 437 | 394268 | void update(const ElemSol &elemSol, | |
| 438 | const Problem &problem, | ||
| 439 | const Element &element, | ||
| 440 | const Scv& scv) | ||
| 441 | { | ||
| 442 | // Update parent type (also completes the fluid state) | ||
| 443 | 394268 | ParentType::update(elemSol, problem, element, scv); | |
| 444 | |||
| 445 | ParameterCache paramCache; | ||
| 446 | 788536 | paramCache.updateAll(this->fluidState()); | |
| 447 | 394268 | updateDimLessNumbers(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 448 | 394268 | updateInterfacialArea(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 449 | 394268 | } | |
| 450 | |||
| 451 | /*! | ||
| 452 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the phases. | ||
| 453 | * | ||
| 454 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 455 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 456 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 457 | * \param problem The problem to be solved | ||
| 458 | * \param element An element which contains part of the control volume | ||
| 459 | * \param scv The sub-control volume | ||
| 460 | */ | ||
| 461 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 462 | 394268 | void updateDimLessNumbers(const ElemSol& elemSol, | |
| 463 | const FluidState& fluidState, | ||
| 464 | const ParameterCache& paramCache, | ||
| 465 | const Problem& problem, | ||
| 466 | const Element& element, | ||
| 467 | const Scv& scv) | ||
| 468 | { | ||
| 469 | 394268 | const auto& spatialParams = problem.spatialParams(); | |
| 470 | 394268 | factorMassTransfer_ = spatialParams.factorMassTransfer(element, scv, elemSol); | |
| 471 | 394268 | characteristicLength_ = spatialParams.characteristicLength(element, scv, elemSol); | |
| 472 | |||
| 473 | // set the dimensionless numbers and obtain respective quantities. | ||
| 474 | 394268 | const unsigned int vIdxGlobal = scv.dofIndex(); | |
| 475 |
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1182804 | for (int phaseIdx = 0; phaseIdx < ModelTraits::numFluidPhases(); ++phaseIdx) |
| 476 | { | ||
| 477 | 1577072 | const auto darcyMagVelocity = problem.gridVariables().volumeDarcyMagVelocity(phaseIdx, vIdxGlobal); | |
| 478 | 788536 | const auto dynamicViscosity = fluidState.viscosity(phaseIdx); | |
| 479 | 788536 | const auto density = fluidState.density(phaseIdx); | |
| 480 | 788536 | const auto kinematicViscosity = dynamicViscosity/density; | |
| 481 | |||
| 482 | // diffusion coefficient of nonwetting component in wetting phase | ||
| 483 | using FluidSystem = typename Traits::FluidSystem; | ||
| 484 | 788536 | const auto diffCoeff = FluidSystem::binaryDiffusionCoefficient(fluidState, | |
| 485 | paramCache, | ||
| 486 | phaseIdx, | ||
| 487 | wCompIdx, | ||
| 488 | nCompIdx); | ||
| 489 | |||
| 490 | 1577072 | reynoldsNumber_[phaseIdx] = DimLessNum::reynoldsNumber(darcyMagVelocity, characteristicLength_, kinematicViscosity); | |
| 491 | 1577072 | schmidtNumber_[phaseIdx] = DimLessNum::schmidtNumber(dynamicViscosity, density, diffCoeff); | |
| 492 | 788536 | sherwoodNumber_[phaseIdx] = DimLessNum::sherwoodNumber(reynoldsNumber_[phaseIdx], | |
| 493 | 1577072 | schmidtNumber_[phaseIdx], | |
| 494 | ModelTraits::sherwoodFormulation()); | ||
| 495 | } | ||
| 496 | 394268 | } | |
| 497 | |||
| 498 | /*! | ||
| 499 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the phases. | ||
| 500 | * | ||
| 501 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 502 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 503 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 504 | * \param problem The problem to be solved | ||
| 505 | * \param element An element which contains part of the control volume | ||
| 506 | * \param scv The sub-control volume | ||
| 507 | */ | ||
| 508 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 509 | 394268 | void updateInterfacialArea(const ElemSol& elemSol, | |
| 510 | const FluidState& fluidState, | ||
| 511 | const ParameterCache& paramCache, | ||
| 512 | const Problem& problem, | ||
| 513 | const Element& element, | ||
| 514 | const Scv& scv) | ||
| 515 | { | ||
| 516 | 788536 | const auto Sw = fluidState.saturation(phase0Idx) ; | |
| 517 | 1182804 | const auto pc = fluidState.pressure(phase1Idx) - fluidState.pressure(phase0Idx); | |
| 518 | |||
| 519 | // when we only consider chemical non-equilibrium there is only mass transfer between | ||
| 520 | // the fluid phases, so in 2p only interfacial area between wetting and non-wetting | ||
| 521 | 1182804 | const auto fluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(element, scv, elemSol); | |
| 522 | 788536 | interfacialArea_ = fluidMatrixInteraction.wettingNonwettingInterface().area(Sw, pc); | |
| 523 | 394268 | } | |
| 524 | |||
| 525 | /*! | ||
| 526 | * \brief The specific interfacial area between two fluid phases [m^2 / m^3] | ||
| 527 | */ | ||
| 528 | ✗ | const Scalar interfacialArea(const unsigned int phaseIIdx, const unsigned int phaseJIdx) const | |
| 529 | { | ||
| 530 | // so far there is only a model for kinetic mass transfer between fluid phases | ||
| 531 | ✗ | assert( (phaseIIdx == phase1Idx && phaseJIdx == phase0Idx) | |
| 532 | || (phaseIIdx == phase0Idx && phaseJIdx == phase1Idx) ); | ||
| 533 | 628800 | return interfacialArea_; | |
| 534 | } | ||
| 535 | |||
| 536 | //! access function Reynolds Number | ||
| 537 | const Scalar reynoldsNumber(const unsigned int phaseIdx) const | ||
| 538 | 24000 | { return reynoldsNumber_[phaseIdx]; } | |
| 539 | |||
| 540 | //! access function Schmidt Number | ||
| 541 | const Scalar schmidtNumber(const unsigned int phaseIdx) const | ||
| 542 | { return schmidtNumber_[phaseIdx]; } | ||
| 543 | |||
| 544 | //! access function Sherwood Number | ||
| 545 | const Scalar sherwoodNumber(const unsigned int phaseIdx) const | ||
| 546 | 2515200 | { return sherwoodNumber_[phaseIdx]; } | |
| 547 | |||
| 548 | //! access function characteristic length | ||
| 549 | ✗ | const Scalar characteristicLength() const | |
| 550 | ✗ | { return characteristicLength_; } | |
| 551 | |||
| 552 | //! access function pre factor mass transfer | ||
| 553 | ✗ | const Scalar factorMassTransfer() const | |
| 554 | ✗ | { return factorMassTransfer_; } | |
| 555 | |||
| 556 | private: | ||
| 557 | Scalar characteristicLength_; | ||
| 558 | Scalar factorMassTransfer_; | ||
| 559 | Scalar interfacialArea_ ; | ||
| 560 | NumFluidPhasesArray sherwoodNumber_; | ||
| 561 | NumFluidPhasesArray schmidtNumber_; | ||
| 562 | NumFluidPhasesArray reynoldsNumber_; | ||
| 563 | }; | ||
| 564 | |||
| 565 | // Specialization where everything is in non-equilibrium. | ||
| 566 | template<class Traits, class EquilibriumVolumeVariables> | ||
| 567 | 191720 | class NonEquilibriumVolumeVariablesImplementation<Traits, | |
| 568 | EquilibriumVolumeVariables, | ||
| 569 | true/*chemicalNonEquilibrium?*/, | ||
| 570 | true/*thermalNonEquilibrium?*/, | ||
| 571 | 2> | ||
| 572 | : public EquilibriumVolumeVariables | ||
| 573 | { | ||
| 574 | using ParentType = EquilibriumVolumeVariables; | ||
| 575 | using FluidState = typename Traits::FluidState; | ||
| 576 | using FS = typename Traits::FluidSystem; | ||
| 577 | using ParameterCache = typename Traits::FluidSystem::ParameterCache; | ||
| 578 | using Scalar = typename Traits::PrimaryVariables::value_type; | ||
| 579 | |||
| 580 | using ModelTraits = typename Traits::ModelTraits; | ||
| 581 | static constexpr auto numEnergyEqFluid = ModelTraits::numEnergyEqFluid(); | ||
| 582 | static constexpr auto numEnergyEqSolid = ModelTraits::numEnergyEqSolid(); | ||
| 583 | |||
| 584 | static constexpr auto phase0Idx = FS::phase0Idx; | ||
| 585 | static constexpr auto phase1Idx = FS::phase1Idx; | ||
| 586 | static constexpr auto sPhaseIdx = FS::numPhases; | ||
| 587 | static constexpr auto wCompIdx = FS::comp0Idx; | ||
| 588 | static constexpr auto nCompIdx = FS::comp1Idx; | ||
| 589 | |||
| 590 | using DimLessNum = DimensionlessNumbers<Scalar>; | ||
| 591 | static_assert((numEnergyEqFluid > 1), "This model only deals with energy transfer between two fluids and one solid phase"); | ||
| 592 | |||
| 593 | using NumFluidPhasesArray = std::array<Scalar, ModelTraits::numFluidPhases()>; | ||
| 594 | using InterfacialAreasArray = std::array<std::array<Scalar, ModelTraits::numFluidPhases()+numEnergyEqSolid>, | ||
| 595 | ModelTraits::numFluidPhases()+numEnergyEqSolid>; | ||
| 596 | |||
| 597 | public: | ||
| 598 | using Indices = typename ModelTraits::Indices; | ||
| 599 | |||
| 600 | /*! | ||
| 601 | * \brief Update all quantities for a given control volume | ||
| 602 | * | ||
| 603 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 604 | * \param problem The object specifying the problem which ought to | ||
| 605 | * be simulated | ||
| 606 | * \param element An element which contains part of the control volume | ||
| 607 | * \param scv The sub-control volume | ||
| 608 | */ | ||
| 609 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 610 | 786240 | void update(const ElemSol &elemSol, | |
| 611 | const Problem &problem, | ||
| 612 | const Element &element, | ||
| 613 | const Scv& scv) | ||
| 614 | { | ||
| 615 | // Update parent type (also completes the fluid state) | ||
| 616 | 786240 | ParentType::update(elemSol, problem, element, scv); | |
| 617 | |||
| 618 | ParameterCache paramCache; | ||
| 619 | 1572480 | paramCache.updateAll(this->fluidState()); | |
| 620 | 786240 | updateDimLessNumbers(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 621 | 786240 | updateInterfacialArea(elemSol, this->fluidState(), paramCache, problem, element, scv); | |
| 622 | 786240 | } | |
| 623 | |||
| 624 | /*! | ||
| 625 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the phases. | ||
| 626 | * | ||
| 627 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 628 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 629 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 630 | * \param problem The problem to be solved | ||
| 631 | * \param element An element which contains part of the control volume | ||
| 632 | * \param scv The sub-control volume | ||
| 633 | */ | ||
| 634 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 635 | 786240 | void updateDimLessNumbers(const ElemSol& elemSol, | |
| 636 | const FluidState& fluidState, | ||
| 637 | const ParameterCache& paramCache, | ||
| 638 | const Problem& problem, | ||
| 639 | const Element& element, | ||
| 640 | const Scv& scv) | ||
| 641 | { | ||
| 642 | 786240 | const auto& spatialParams = problem.spatialParams(); | |
| 643 | 786240 | factorMassTransfer_ = spatialParams.factorMassTransfer(element, scv, elemSol); | |
| 644 | 786240 | factorEnergyTransfer_ = spatialParams.factorEnergyTransfer(element, scv, elemSol); | |
| 645 | 786240 | characteristicLength_ = spatialParams.characteristicLength(element, scv, elemSol); | |
| 646 | |||
| 647 | 786240 | const auto vIdxGlobal = scv.dofIndex(); | |
| 648 | using FluidSystem = typename Traits::FluidSystem; | ||
| 649 |
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2358720 | for (int phaseIdx = 0; phaseIdx < ModelTraits::numFluidPhases(); ++phaseIdx) |
| 650 | { | ||
| 651 | 3144960 | const auto darcyMagVelocity = problem.gridVariables().volumeDarcyMagVelocity(phaseIdx, vIdxGlobal); | |
| 652 | 1572480 | const auto dynamicViscosity = fluidState.viscosity(phaseIdx); | |
| 653 | 1572480 | const auto density = fluidState.density(phaseIdx); | |
| 654 | 1572480 | const auto kinematicViscosity = dynamicViscosity/density; | |
| 655 | 1572480 | const auto heatCapacity = FluidSystem::heatCapacity(fluidState, paramCache, phaseIdx); | |
| 656 | 1572480 | const auto thermalConductivity = FluidSystem::thermalConductivity(fluidState, paramCache, phaseIdx); | |
| 657 | |||
| 658 | // diffusion coefficient of nonwetting component in wetting phase | ||
| 659 | 1572480 | const auto porosity = this->porosity(); | |
| 660 | 1572480 | const auto diffCoeff = FluidSystem::binaryDiffusionCoefficient(fluidState, | |
| 661 | paramCache, | ||
| 662 | phaseIdx, | ||
| 663 | wCompIdx, | ||
| 664 | nCompIdx); | ||
| 665 | |||
| 666 | 3144960 | reynoldsNumber_[phaseIdx] = DimLessNum::reynoldsNumber(darcyMagVelocity, characteristicLength_, kinematicViscosity); | |
| 667 | 3144960 | prandtlNumber_[phaseIdx] = DimLessNum::prandtlNumber(dynamicViscosity, heatCapacity, thermalConductivity); | |
| 668 | 3144960 | schmidtNumber_[phaseIdx] = DimLessNum::schmidtNumber(dynamicViscosity, density, diffCoeff); | |
| 669 | 1572480 | nusseltNumber_[phaseIdx] = DimLessNum::nusseltNumberForced(reynoldsNumber_[phaseIdx], | |
| 670 | 3144960 | prandtlNumber_[phaseIdx], | |
| 671 | porosity, | ||
| 672 | ModelTraits::nusseltFormulation()); | ||
| 673 | // If Diffusion is not enabled, Sherwood is divided by zero | ||
| 674 | 1572480 | sherwoodNumber_[phaseIdx] = DimLessNum::sherwoodNumber(reynoldsNumber_[phaseIdx], | |
| 675 | 3144960 | schmidtNumber_[phaseIdx], | |
| 676 | ModelTraits::sherwoodFormulation()); | ||
| 677 | } | ||
| 678 | 786240 | } | |
| 679 | |||
| 680 | /*! | ||
| 681 | * \brief Updates the volume specific interfacial area [m^2 / m^3] between the phases. | ||
| 682 | * | ||
| 683 | * \param elemSol A vector containing all primary variables connected to the element | ||
| 684 | * \param fluidState Container for all the secondary variables concerning the fluids | ||
| 685 | * \param paramCache The parameter cache corresponding to the fluid state | ||
| 686 | * \param problem The problem to be solved | ||
| 687 | * \param element An element which contains part of the control volume | ||
| 688 | * \param scv The sub-control volume | ||
| 689 | */ | ||
| 690 | template<class ElemSol, class Problem, class Element, class Scv> | ||
| 691 | 786240 | void updateInterfacialArea(const ElemSol& elemSol, | |
| 692 | const FluidState& fluidState, | ||
| 693 | const ParameterCache& paramCache, | ||
| 694 | const Problem& problem, | ||
| 695 | const Element& element, | ||
| 696 | const Scv& scv) | ||
| 697 | { | ||
| 698 | 1572480 | const Scalar pc = fluidState.pressure(phase1Idx) - fluidState.pressure(phase0Idx); | |
| 699 | 786240 | const Scalar Sw = fluidState.saturation(phase0Idx); | |
| 700 | |||
| 701 | 1572480 | const auto fluidMatrixInteraction = problem.spatialParams().fluidMatrixInteraction(element, scv, elemSol); | |
| 702 | |||
| 703 | 786240 | const auto awn = fluidMatrixInteraction.wettingNonwettingInterface().area(Sw, pc); | |
| 704 | 1572480 | interfacialArea_[phase0Idx][phase1Idx] = awn; | |
| 705 | 3144960 | interfacialArea_[phase1Idx][phase0Idx] = interfacialArea_[phase0Idx][phase1Idx]; | |
| 706 | 1572480 | interfacialArea_[phase0Idx][phase0Idx] = 0.; | |
| 707 | |||
| 708 | 786240 | const auto areaNS = fluidMatrixInteraction.nonwettingSolidInterface().area(Sw, pc); | |
| 709 | |||
| 710 | // Switch for using a a_{wn} relations that has some "maximum capillary pressure" as parameter. | ||
| 711 | // That value is obtained by regularization of the pc(Sw) function. | ||
| 712 |
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786240 | static const bool computeAwsFromAnsAndPcMax = getParam<bool>("SpatialParams.ComputeAwsFromAnsAndPcMax", true); |
| 713 |
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786240 | if (computeAwsFromAnsAndPcMax) |
| 714 | { | ||
| 715 | // I know the solid surface from the pore network. But it is more consistent to use the fit value. | ||
| 716 | 786240 | const Scalar pcMax = fluidMatrixInteraction.wettingNonwettingInterface().basicParams().pcMax(); | |
| 717 | 786240 | const auto solidSurface = fluidMatrixInteraction.nonwettingSolidInterface().area(/*Sw=*/0., pcMax); | |
| 718 | 2358720 | interfacialArea_[phase0Idx][sPhaseIdx] = solidSurface - areaNS; | |
| 719 | } | ||
| 720 | else | ||
| 721 | ✗ | interfacialArea_[phase0Idx][sPhaseIdx] = fluidMatrixInteraction.wettingSolidInterface().area(Sw, pc); | |
| 722 | |||
| 723 | 3144960 | interfacialArea_[sPhaseIdx][phase0Idx] = interfacialArea_[phase0Idx][sPhaseIdx]; | |
| 724 | 1572480 | interfacialArea_[sPhaseIdx][sPhaseIdx] = 0.; | |
| 725 | |||
| 726 | 1572480 | interfacialArea_[phase1Idx][sPhaseIdx] = areaNS; | |
| 727 | 3144960 | interfacialArea_[sPhaseIdx][phase1Idx] = interfacialArea_[phase1Idx][sPhaseIdx]; | |
| 728 | 1572480 | interfacialArea_[phase1Idx][phase1Idx] = 0.; | |
| 729 | 786240 | } | |
| 730 | |||
| 731 | /*! | ||
| 732 | * \brief The specific interfacial area between two fluid phases [m^2 / m^3] | ||
| 733 | * \note This is _only_ required by the kinetic mass/energy modules | ||
| 734 | */ | ||
| 735 | const Scalar interfacialArea(const unsigned int phaseIIdx, const unsigned int phaseJIdx) const | ||
| 736 | { | ||
| 737 | // there is no interfacial area between a phase and itself | ||
| 738 | assert(phaseIIdx not_eq phaseJIdx); | ||
| 739 | 28344960 | return interfacialArea_[phaseIIdx][phaseJIdx]; | |
| 740 | } | ||
| 741 | |||
| 742 | //! access function Reynolds Number | ||
| 743 | const Scalar reynoldsNumber(const unsigned int phaseIdx) const | ||
| 744 | 80640 | { return reynoldsNumber_[phaseIdx]; } | |
| 745 | |||
| 746 | //! access function Prandtl Number | ||
| 747 | const Scalar prandtlNumber(const unsigned int phaseIdx) const | ||
| 748 | 80640 | { return prandtlNumber_[phaseIdx]; } | |
| 749 | |||
| 750 | //! access function Nusselt Number | ||
| 751 | const Scalar nusseltNumber(const unsigned int phaseIdx) const | ||
| 752 |
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18896640 | { return nusseltNumber_[phaseIdx]; } |
| 753 | |||
| 754 | //! access function Schmidt Number | ||
| 755 | const Scalar schmidtNumber(const unsigned int phaseIdx) const | ||
| 756 | { return schmidtNumber_[phaseIdx]; } | ||
| 757 | |||
| 758 | //! access function Sherwood Number | ||
| 759 | const Scalar sherwoodNumber(const unsigned int phaseIdx) const | ||
| 760 | 9448320 | { return sherwoodNumber_[phaseIdx]; } | |
| 761 | |||
| 762 | //! access function characteristic length | ||
| 763 | ✗ | const Scalar characteristicLength() const | |
| 764 | ✗ | { return characteristicLength_; } | |
| 765 | |||
| 766 | //! access function pre factor energy transfer | ||
| 767 | ✗ | const Scalar factorEnergyTransfer() const | |
| 768 | ✗ | { return factorEnergyTransfer_; } | |
| 769 | |||
| 770 | //! access function pre factor mass transfer | ||
| 771 | ✗ | const Scalar factorMassTransfer() const | |
| 772 | ✗ | { return factorMassTransfer_; } | |
| 773 | |||
| 774 | private: | ||
| 775 | //! dimensionless numbers | ||
| 776 | NumFluidPhasesArray reynoldsNumber_; | ||
| 777 | NumFluidPhasesArray prandtlNumber_; | ||
| 778 | NumFluidPhasesArray nusseltNumber_; | ||
| 779 | NumFluidPhasesArray schmidtNumber_; | ||
| 780 | NumFluidPhasesArray sherwoodNumber_; | ||
| 781 | Scalar characteristicLength_; | ||
| 782 | Scalar factorEnergyTransfer_; | ||
| 783 | Scalar factorMassTransfer_; | ||
| 784 | InterfacialAreasArray interfacialArea_; | ||
| 785 | }; | ||
| 786 | |||
| 787 | } // namespace Dumux | ||
| 788 | |||
| 789 | #endif | ||
| 790 |