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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 ShallowWaterFlux | ||
| 10 | * \brief Function to limit the fluxes | ||
| 11 | * | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_FLUX_SHALLOW_WATER_FLUX_LIMITER_LET_HH | ||
| 14 | #define DUMUX_FLUX_SHALLOW_WATER_FLUX_LIMITER_LET_HH | ||
| 15 | |||
| 16 | #include <algorithm> | ||
| 17 | #include <cmath> | ||
| 18 | |||
| 19 | namespace Dumux { | ||
| 20 | namespace ShallowWater { | ||
| 21 | |||
| 22 | /*! | ||
| 23 | * \ingroup ShallowWaterFlux | ||
| 24 | * \brief Flux limiter function to scale fluxes for small water depths. | ||
| 25 | * | ||
| 26 | * This function acts like a kind of mobility, it limits the water flux | ||
| 27 | * for small water depths. The mobility depends on the left and right | ||
| 28 | * side state of a variable. The LET-Type function is described at | ||
| 29 | * https://en.wikipedia.org/wiki/Relative_permeability | ||
| 30 | * The LET-Parameters are fixed. The current parameters are set to a | ||
| 31 | * values to get a nice curve. They have no physical meaning. | ||
| 32 | * | ||
| 33 | * \tparam Scalar the scalar type for scalar physical quantities | ||
| 34 | * \param valueLeft The value on the left side | ||
| 35 | * \param valueRight The value on the right side | ||
| 36 | * \param upperH Where to start the limit the function (mobility < 1) | ||
| 37 | * \param lowerH Where the limit should reach zero (mobility < 0) | ||
| 38 | */ | ||
| 39 | template<class Scalar> | ||
| 40 | 159362171 | static Scalar fluxLimiterLET(const Scalar valueLeft, | |
| 41 | const Scalar valueRight, | ||
| 42 | const Scalar upperH, | ||
| 43 | const Scalar lowerH) | ||
| 44 | { | ||
| 45 | using std::pow; | ||
| 46 | using std::min; | ||
| 47 | using std::max; | ||
| 48 | |||
| 49 | 159362171 | const auto h = (valueLeft + valueRight)*0.5; | |
| 50 | |||
| 51 | 159362171 | Scalar mobility = 1.0; | |
| 52 |
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159362171 | if (h < upperH) |
| 53 | { | ||
| 54 |
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25258558 | const auto sw = max(min(h*(1.0/upperH) - lowerH, 1.0), 0.0); |
| 55 | |||
| 56 | // LET-model for mobility | ||
| 57 | // constexpr Scalar krw = 1.0; | ||
| 58 | // constexpr Scalar letL = 2.0; | ||
| 59 | // constexpr Scalar letT = 2.0; | ||
| 60 | // constexpr Scalar letE = 1.0; | ||
| 61 | // mobility = (krw * pow(sw, letL))/(pow(sw, letL) + letE * pow(1.0 - sw, letT)); | ||
| 62 | |||
| 63 | 25258558 | mobility = (sw*sw)/(sw*sw + (1-sw)*(1-sw)); | |
| 64 | } | ||
| 65 | |||
| 66 | 159362171 | return mobility; | |
| 67 | } | ||
| 68 | |||
| 69 | } // end namespace ShallowWater | ||
| 70 | } // end namespace Dumux | ||
| 71 | |||
| 72 | #endif | ||
| 73 |