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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 Fluidmatrixinteractions | ||
| 10 | * \brief Specification of a function relating volume specific interfacial area to capillary pressure and saturation. | ||
| 11 | * This parametrization is a second order polynomial. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_MATERIAL_FLUIDMATRIX_TWO_P_INTERFACIAL_AREA_POLYNOMIAL_SECOND_ORDER_HH | ||
| 14 | #define DUMUX_MATERIAL_FLUIDMATRIX_TWO_P_INTERFACIAL_AREA_POLYNOMIAL_SECOND_ORDER_HH | ||
| 15 | |||
| 16 | #include <cmath> | ||
| 17 | #include <dune/common/exceptions.hh> | ||
| 18 | #include <dune/common/float_cmp.hh> | ||
| 19 | #include <dumux/common/parameters.hh> | ||
| 20 | |||
| 21 | namespace Dumux::FluidMatrix { | ||
| 22 | |||
| 23 | /*! | ||
| 24 | * \ingroup Fluidmatrixinteractions | ||
| 25 | * \brief Implementation of the polynomial of second order relating | ||
| 26 | * specific interfacial area to wetting phase saturation and capillary pressure as suggested by Joekar-Niasar(2008) \cite joekar2008 . | ||
| 27 | */ | ||
| 28 | class InterfacialAreaPolynomialSecondOrder | ||
| 29 | { | ||
| 30 | public: | ||
| 31 | |||
| 32 | template<class Scalar> | ||
| 33 | struct Params | ||
| 34 | { | ||
| 35 | 1 | Params(Scalar a00 = 0, Scalar a01 = 0, Scalar a02 = 0, Scalar a10 = 0, Scalar a11 = 0, Scalar a20 = 0) | |
| 36 |
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1 | : a00_(a00), a01_(a01), a02_(a02), a10_(a10), a11_(a11), a20_(a20) {} |
| 37 | |||
| 38 | ✗ | Scalar a00() const { return a00_; } | |
| 39 | void setA00(Scalar a00) { a00_ = a00; } | ||
| 40 | |||
| 41 | ✗ | Scalar a01() const { return a01_; } | |
| 42 | void setA01(Scalar a01) { a01_ = a01; } | ||
| 43 | |||
| 44 | ✗ | Scalar a02() const { return a02_; } | |
| 45 | void setA02(Scalar a02) { a02_ = a02; } | ||
| 46 | |||
| 47 | ✗ | Scalar a10() const { return a10_; } | |
| 48 | void setA10(Scalar a10) { a10_ = a10; } | ||
| 49 | |||
| 50 | ✗ | Scalar a11() const { return a11_; } | |
| 51 | void setA11(Scalar a11) { a11_ = a11; } | ||
| 52 | |||
| 53 | ✗ | Scalar a20() const { return a20_; } | |
| 54 | void setA20(Scalar a20) { a20_ = a20; } | ||
| 55 | |||
| 56 | bool operator== (const Params& p) const | ||
| 57 | { | ||
| 58 | return Dune::FloatCmp::eq(a00(), p.a00(), 1e-6) | ||
| 59 | && Dune::FloatCmp::eq(a01(), p.a01(), 1e-6) | ||
| 60 | && Dune::FloatCmp::eq(a02(), p.a02(), 1e-6) | ||
| 61 | && Dune::FloatCmp::eq(a10(), p.a10(), 1e-6) | ||
| 62 | && Dune::FloatCmp::eq(a11(), p.a11(), 1e-6) | ||
| 63 | && Dune::FloatCmp::eq(a20(), p.a20(), 1e-6); | ||
| 64 | } | ||
| 65 | |||
| 66 | private: | ||
| 67 | Scalar a00_, a01_, a02_, a10_, a11_, a20_; | ||
| 68 | }; | ||
| 69 | |||
| 70 | /*! | ||
| 71 | * \brief Construct from a subgroup from the global parameter tree | ||
| 72 | * \note This will give you nice error messages if a mandatory parameter is missing | ||
| 73 | */ | ||
| 74 | template<class Scalar = double> | ||
| 75 | static Params<Scalar> makeParams(const std::string& paramGroup) | ||
| 76 | { | ||
| 77 | const auto a00 = getParamFromGroup<Scalar>(paramGroup, "A00", 0.0); | ||
| 78 | const auto a01 = getParamFromGroup<Scalar>(paramGroup, "A01"); | ||
| 79 | const auto a02 = getParamFromGroup<Scalar>(paramGroup, "A02"); | ||
| 80 | const auto a10 = getParamFromGroup<Scalar>(paramGroup, "A10"); | ||
| 81 | const auto a11 = getParamFromGroup<Scalar>(paramGroup, "A11"); | ||
| 82 | const auto a20 = getParamFromGroup<Scalar>(paramGroup, "A20"); | ||
| 83 | return {a00, a01, a02, a10, a11, a20}; | ||
| 84 | } | ||
| 85 | |||
| 86 | /*! | ||
| 87 | * \brief The interfacial area | ||
| 88 | * | ||
| 89 | * the suggested (as estimated from pore network models) awn surface: | ||
| 90 | * \f$[ | ||
| 91 | a_{wn} = a_{00} + a_{10}S_{w} + a_{20}S_{w}^2 + a_{11} S_{w} p_{c} + a_{01} p_{c} + a_{02}p_{c}^2 | ||
| 92 | \f$] | ||
| 93 | * \param params parameter container for the coefficients of the surface | ||
| 94 | * \param swe Effective saturation of the wetting phase | ||
| 95 | * \param pc Capillary pressure in \f$\mathrm{[Pa]}\f$ | ||
| 96 | */ | ||
| 97 | template<class Scalar> | ||
| 98 | static Scalar area(const Scalar swe, const Scalar pc, const Params<Scalar>& params) | ||
| 99 | { | ||
| 100 | ✗ | const Scalar a00 = params.a00(); | |
| 101 | ✗ | const Scalar a10 = params.a10(); | |
| 102 | ✗ | const Scalar a20 = params.a20(); | |
| 103 | ✗ | const Scalar a11 = params.a11(); | |
| 104 | ✗ | const Scalar a01 = params.a01(); | |
| 105 | ✗ | const Scalar a02 = params.a02(); | |
| 106 | |||
| 107 | ✗ | return a00 + a10 * swe + a20 * swe*swe + a11*swe*pc + a01*pc + a02*pc*pc; | |
| 108 | } | ||
| 109 | |||
| 110 | /*! | ||
| 111 | * \brief the derivative of specific interfacial area function w.r.t. capillary pressure | ||
| 112 | * | ||
| 113 | * \param params parameter container for the coefficients of the surface | ||
| 114 | * \param swe Effective saturation of the wetting phase | ||
| 115 | * \param pc Capillary pressure in \f$\mathrm{[Pa]}\f$ | ||
| 116 | */ | ||
| 117 | template<class Scalar> | ||
| 118 | static Scalar darea_dpc(const Scalar swe, const Scalar pc, const Params<Scalar>& params) | ||
| 119 | { | ||
| 120 | return params.a11()*swe + params.a01() + 2.0*params.a02() * pc; | ||
| 121 | } | ||
| 122 | |||
| 123 | /*! | ||
| 124 | * \brief the derivative of specific interfacial area function w.r.t. saturation | ||
| 125 | * | ||
| 126 | * \param params parameter container for the coefficients of the surface | ||
| 127 | * \param swe Effective saturation of the wetting phase | ||
| 128 | * \param pc Capillary pressure in \f$\mathrm{[Pa]}\f$ | ||
| 129 | */ | ||
| 130 | template<class Scalar> | ||
| 131 | static Scalar darea_dsw(const Scalar swe, const Scalar pc, const Params<Scalar>& params) | ||
| 132 | { | ||
| 133 | return params.a11()*pc + params.a10() + 2.0*params.a20()*swe; | ||
| 134 | } | ||
| 135 | }; | ||
| 136 | |||
| 137 | } // end namespace Dumux::FluidMatrix | ||
| 138 | |||
| 139 | #endif | ||
| 140 |