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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 Flux | ||
| 10 | * \brief The reference frameworks and formulations available for splitting total fluxes into a advective and diffusive part | ||
| 11 | */ | ||
| 12 | |||
| 13 | #ifndef DUMUX_FLUX_REFERENCESYSTEMFORMULATION_HH | ||
| 14 | #define DUMUX_FLUX_REFERENCESYSTEMFORMULATION_HH | ||
| 15 | |||
| 16 | namespace Dumux { | ||
| 17 | |||
| 18 | /*! | ||
| 19 | * \brief The formulations available for Fick's law related to the reference system | ||
| 20 | * \ingroup Flux | ||
| 21 | * \note The total flux of a component can be split into an advective and a diffusive part. | ||
| 22 | * In our framework, the advective part is based on a momentum balance. Standard momentum balances, e.g., | ||
| 23 | * the Navier-Stokes equations or Darcy's law yield mass-averaged velocities (see Multicomponent Mass Transfer, Taylor & Krishna, 1993 \cite taylor1993a), | ||
| 24 | * therefore we use the appropriate formulation of Fick's law (mass averaged formulation) per default. | ||
| 25 | * | ||
| 26 | * This means that the diffusive fluxes are calculated with the mass fraction gradients and the unit of the fluxes is kg/s. | ||
| 27 | * It is also possible to use a molar-averaged reference system, which can be beneficial, e.g., | ||
| 28 | * when it is known that the molar-averaged advective velocity would be zero. When using a molar-averaged reference velocity, | ||
| 29 | * Fick's law is formulated with mole fraction gradients and the unit of the flux is moles/s. This means that depending on the reference system, | ||
| 30 | * the units of the fluxes need to be adapted to be used in mass or mole balances. | ||
| 31 | */ | ||
| 32 | enum class ReferenceSystemFormulation | ||
| 33 | { | ||
| 34 | massAveraged, molarAveraged | ||
| 35 | }; | ||
| 36 | |||
| 37 | /*! | ||
| 38 | * \ingroup Flux | ||
| 39 | * \brief evaluates the density to be used in Fick's law based on the reference system | ||
| 40 | */ | ||
| 41 | template<class VolumeVariables> | ||
| 42 | typename VolumeVariables::PrimaryVariables::value_type | ||
| 43 | ✗ | massOrMolarDensity(const VolumeVariables& volVars, ReferenceSystemFormulation referenceSys, const int phaseIdx) | |
| 44 | { | ||
| 45 |
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5451942888 | return (referenceSys == ReferenceSystemFormulation::massAveraged) ? volVars.density(phaseIdx) : volVars.molarDensity(phaseIdx); |
| 46 | } | ||
| 47 | |||
| 48 | /*! | ||
| 49 | * \ingroup Flux | ||
| 50 | * \brief returns the mass or mole fraction to be used in Fick's law based on the reference system | ||
| 51 | */ | ||
| 52 | template<class VolumeVariables> | ||
| 53 | typename VolumeVariables::PrimaryVariables::value_type | ||
| 54 | ✗ | massOrMoleFraction(const VolumeVariables& volVars, ReferenceSystemFormulation referenceSys, const int phaseIdx, const int compIdx) | |
| 55 | { | ||
| 56 |
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2266618640 | return (referenceSys == ReferenceSystemFormulation::massAveraged) ? volVars.massFraction(phaseIdx, compIdx) : volVars.moleFraction(phaseIdx, compIdx); |
| 57 | } | ||
| 58 | |||
| 59 | } // end namespace Dumux | ||
| 60 | |||
| 61 | #endif | ||
| 62 |