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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 Flux | ||
| 10 | * \brief A free function to average a Tensor at an interface. | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_FACE_TENSOR_AVERAGE_HH | ||
| 13 | #define DUMUX_FACE_TENSOR_AVERAGE_HH | ||
| 14 | |||
| 15 | #include <dune/common/fmatrix.hh> | ||
| 16 | #include <dumux/common/math.hh> | ||
| 17 | |||
| 18 | namespace Dumux { | ||
| 19 | |||
| 20 | /*! | ||
| 21 | * \brief Average of a discontinuous scalar field at discontinuity interface | ||
| 22 | * (for compatibility reasons with the function below) | ||
| 23 | * \return the harmonic average of the scalars | ||
| 24 | * \param T1 first scalar parameter | ||
| 25 | * \param T2 second scalar parameter | ||
| 26 | * \param normal The unit normal vector of the interface | ||
| 27 | */ | ||
| 28 | template <class Scalar, int dim> | ||
| 29 |
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1247763308 | Scalar faceTensorAverage(const Scalar T1, |
| 30 | const Scalar T2, | ||
| 31 | const Dune::FieldVector<Scalar, dim>& normal) | ||
| 32 |
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801908862 | { return Dumux::harmonicMean(T1, T2); } |
| 33 | |||
| 34 | /*! | ||
| 35 | * \brief Average of a discontinuous tensorial field at discontinuity interface | ||
| 36 | * \note We do a harmonic average of the part normal to the interface (alpha*I) and | ||
| 37 | * an arithmetic average of the tangential part (T - alpha*I). | ||
| 38 | * \return the averaged tensor | ||
| 39 | * \param T1 first tensor | ||
| 40 | * \param T2 second tensor | ||
| 41 | * \param normal The unit normal vector of the interface | ||
| 42 | */ | ||
| 43 | template <class Scalar, int dim> | ||
| 44 | 11490912 | Dune::FieldMatrix<Scalar, dim> faceTensorAverage(const Dune::FieldMatrix<Scalar, dim>& T1, | |
| 45 | const Dune::FieldMatrix<Scalar, dim>& T2, | ||
| 46 | const Dune::FieldVector<Scalar, dim>& normal) | ||
| 47 | { | ||
| 48 | // determine nT*k*n | ||
| 49 | 11490912 | Dune::FieldVector<Scalar, dim> tmp; | |
| 50 | 11490912 | Dune::FieldVector<Scalar, dim> tmp2; | |
| 51 |
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26013936 | T1.mv(normal, tmp); |
| 52 |
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26013936 | T2.mv(normal, tmp2); |
| 53 |
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17555136 | const Scalar alpha1 = tmp*normal; |
| 54 |
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11490912 | const Scalar alpha2 = tmp2*normal; |
| 55 | |||
| 56 | 11490912 | const Scalar alphaHarmonic = Dumux::harmonicMean(alpha1, alpha2); | |
| 57 | 11490912 | const Scalar alphaAverage = 0.5*(alpha1 + alpha2); | |
| 58 | |||
| 59 | 11490912 | Dune::FieldMatrix<Scalar, dim> T(0.0); | |
| 60 |
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26013936 | for (int i = 0; i < dim; ++i) |
| 61 | { | ||
| 62 |
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35110272 | for (int j = 0; j < dim; ++j) |
| 63 | { | ||
| 64 |
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20587248 | T[i][j] += 0.5*(T1[i][j] + T2[i][j]); |
| 65 |
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12128448 | if (i == j) |
| 66 | 14523024 | T[i][j] += alphaHarmonic - alphaAverage; | |
| 67 | } | ||
| 68 | } | ||
| 69 | |||
| 70 | 11490912 | return T; | |
| 71 | } | ||
| 72 | |||
| 73 | } // end namespace Dumux | ||
| 74 | |||
| 75 | #endif | ||
| 76 |