mirror of
https://github.com/OPM/opm-simulators.git
synced 2024-12-25 08:41:00 -06:00
326 lines
12 KiB
C++
326 lines
12 KiB
C++
/*
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Copyright 2016 IRIS AS
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef OPM_MATRIX_BLOCK_HEADER_INCLUDED
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#define OPM_MATRIX_BLOCK_HEADER_INCLUDED
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#include <dune/common/fmatrix.hh>
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#include <dune/common/fvector.hh>
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#include <dune/common/version.hh>
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#include <dune/istl/matrixutils.hh>
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#include <dune/istl/umfpack.hh>
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#include <dune/istl/superlu.hh>
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namespace Dune
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{
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namespace FMatrixHelp {
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//! invert 4x4 Matrix without changing the original matrix
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template <typename K>
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static inline K invertMatrix (const FieldMatrix<K,4,4> &matrix, FieldMatrix<K,4,4> &inverse)
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{
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inverse[0][0] = matrix[1][1] * matrix[2][2] * matrix[3][3] -
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matrix[1][1] * matrix[2][3] * matrix[3][2] -
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matrix[2][1] * matrix[1][2] * matrix[3][3] +
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matrix[2][1] * matrix[1][3] * matrix[3][2] +
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matrix[3][1] * matrix[1][2] * matrix[2][3] -
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matrix[3][1] * matrix[1][3] * matrix[2][2];
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inverse[1][0] = -matrix[1][0] * matrix[2][2] * matrix[3][3] +
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matrix[1][0] * matrix[2][3] * matrix[3][2] +
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matrix[2][0] * matrix[1][2] * matrix[3][3] -
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matrix[2][0] * matrix[1][3] * matrix[3][2] -
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matrix[3][0] * matrix[1][2] * matrix[2][3] +
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matrix[3][0] * matrix[1][3] * matrix[2][2];
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inverse[2][0] = matrix[1][0] * matrix[2][1] * matrix[3][3] -
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matrix[1][0] * matrix[2][3] * matrix[3][1] -
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matrix[2][0] * matrix[1][1] * matrix[3][3] +
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matrix[2][0] * matrix[1][3] * matrix[3][1] +
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matrix[3][0] * matrix[1][1] * matrix[2][3] -
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matrix[3][0] * matrix[1][3] * matrix[2][1];
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inverse[3][0] = -matrix[1][0] * matrix[2][1] * matrix[3][2] +
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matrix[1][0] * matrix[2][2] * matrix[3][1] +
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matrix[2][0] * matrix[1][1] * matrix[3][2] -
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matrix[2][0] * matrix[1][2] * matrix[3][1] -
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matrix[3][0] * matrix[1][1] * matrix[2][2] +
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matrix[3][0] * matrix[1][2] * matrix[2][1];
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inverse[0][1]= -matrix[0][1] * matrix[2][2] * matrix[3][3] +
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matrix[0][1] * matrix[2][3] * matrix[3][2] +
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matrix[2][1] * matrix[0][2] * matrix[3][3] -
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matrix[2][1] * matrix[0][3] * matrix[3][2] -
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matrix[3][1] * matrix[0][2] * matrix[2][3] +
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matrix[3][1] * matrix[0][3] * matrix[2][2];
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inverse[1][1] = matrix[0][0] * matrix[2][2] * matrix[3][3] -
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matrix[0][0] * matrix[2][3] * matrix[3][2] -
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matrix[2][0] * matrix[0][2] * matrix[3][3] +
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matrix[2][0] * matrix[0][3] * matrix[3][2] +
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matrix[3][0] * matrix[0][2] * matrix[2][3] -
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matrix[3][0] * matrix[0][3] * matrix[2][2];
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inverse[2][1] = -matrix[0][0] * matrix[2][1] * matrix[3][3] +
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matrix[0][0] * matrix[2][3] * matrix[3][1] +
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matrix[2][0] * matrix[0][1] * matrix[3][3] -
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matrix[2][0] * matrix[0][3] * matrix[3][1] -
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matrix[3][0] * matrix[0][1] * matrix[2][3] +
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matrix[3][0] * matrix[0][3] * matrix[2][1];
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inverse[3][1] = matrix[0][0] * matrix[2][1] * matrix[3][2] -
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matrix[0][0] * matrix[2][2] * matrix[3][1] -
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matrix[2][0] * matrix[0][1] * matrix[3][2] +
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matrix[2][0] * matrix[0][2] * matrix[3][1] +
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matrix[3][0] * matrix[0][1] * matrix[2][2] -
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matrix[3][0] * matrix[0][2] * matrix[2][1];
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inverse[0][2] = matrix[0][1] * matrix[1][2] * matrix[3][3] -
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matrix[0][1] * matrix[1][3] * matrix[3][2] -
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matrix[1][1] * matrix[0][2] * matrix[3][3] +
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matrix[1][1] * matrix[0][3] * matrix[3][2] +
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matrix[3][1] * matrix[0][2] * matrix[1][3] -
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matrix[3][1] * matrix[0][3] * matrix[1][2];
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inverse[1][2] = -matrix[0][0] * matrix[1][2] * matrix[3][3] +
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matrix[0][0] * matrix[1][3] * matrix[3][2] +
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matrix[1][0] * matrix[0][2] * matrix[3][3] -
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matrix[1][0] * matrix[0][3] * matrix[3][2] -
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matrix[3][0] * matrix[0][2] * matrix[1][3] +
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matrix[3][0] * matrix[0][3] * matrix[1][2];
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inverse[2][2] = matrix[0][0] * matrix[1][1] * matrix[3][3] -
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matrix[0][0] * matrix[1][3] * matrix[3][1] -
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matrix[1][0] * matrix[0][1] * matrix[3][3] +
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matrix[1][0] * matrix[0][3] * matrix[3][1] +
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matrix[3][0] * matrix[0][1] * matrix[1][3] -
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matrix[3][0] * matrix[0][3] * matrix[1][1];
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inverse[3][2] = -matrix[0][0] * matrix[1][1] * matrix[3][2] +
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matrix[0][0] * matrix[1][2] * matrix[3][1] +
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matrix[1][0] * matrix[0][1] * matrix[3][2] -
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matrix[1][0] * matrix[0][2] * matrix[3][1] -
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matrix[3][0] * matrix[0][1] * matrix[1][2] +
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matrix[3][0] * matrix[0][2] * matrix[1][1];
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inverse[0][3] = -matrix[0][1] * matrix[1][2] * matrix[2][3] +
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matrix[0][1] * matrix[1][3] * matrix[2][2] +
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matrix[1][1] * matrix[0][2] * matrix[2][3] -
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matrix[1][1] * matrix[0][3] * matrix[2][2] -
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matrix[2][1] * matrix[0][2] * matrix[1][3] +
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matrix[2][1] * matrix[0][3] * matrix[1][2];
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inverse[1][3] = matrix[0][0] * matrix[1][2] * matrix[2][3] -
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matrix[0][0] * matrix[1][3] * matrix[2][2] -
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matrix[1][0] * matrix[0][2] * matrix[2][3] +
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matrix[1][0] * matrix[0][3] * matrix[2][2] +
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matrix[2][0] * matrix[0][2] * matrix[1][3] -
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matrix[2][0] * matrix[0][3] * matrix[1][2];
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inverse[2][3] = -matrix[0][0] * matrix[1][1] * matrix[2][3] +
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matrix[0][0] * matrix[1][3] * matrix[2][1] +
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matrix[1][0] * matrix[0][1] * matrix[2][3] -
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matrix[1][0] * matrix[0][3] * matrix[2][1] -
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matrix[2][0] * matrix[0][1] * matrix[1][3] +
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matrix[2][0] * matrix[0][3] * matrix[1][1];
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inverse[3][3] = matrix[0][0] * matrix[1][1] * matrix[2][2] -
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matrix[0][0] * matrix[1][2] * matrix[2][1] -
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matrix[1][0] * matrix[0][1] * matrix[2][2] +
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matrix[1][0] * matrix[0][2] * matrix[2][1] +
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matrix[2][0] * matrix[0][1] * matrix[1][2] -
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matrix[2][0] * matrix[0][2] * matrix[1][1];
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K det = matrix[0][0] * inverse[0][0] + matrix[0][1] * inverse[1][0] + matrix[0][2] * inverse[2][0] + matrix[0][3] * inverse[3][0];
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// return identity for singular or nearly singular matrices.
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if (std::abs(det) < 1e-40) {
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for (int i = 0; i < 4; ++i){
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inverse[i][i] = 1.0;
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}
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return 1.0;
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}
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K inv_det = 1.0 / det;
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inverse *= inv_det;
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return det;
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}
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} // end FMatrixHelp
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namespace ISTLUtility {
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//! invert matrix by calling FMatrixHelp::invert
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template <typename K>
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static inline void invertMatrix (FieldMatrix<K,1,1> &matrix)
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{
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FieldMatrix<K,1,1> A ( matrix );
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FMatrixHelp::invertMatrix(A, matrix );
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}
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//! invert matrix by calling FMatrixHelp::invert
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template <typename K>
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static inline void invertMatrix (FieldMatrix<K,2,2> &matrix)
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{
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FieldMatrix<K,2,2> A ( matrix );
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FMatrixHelp::invertMatrix(A, matrix );
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}
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//! invert matrix by calling FMatrixHelp::invert
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template <typename K>
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static inline void invertMatrix (FieldMatrix<K,3,3> &matrix)
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{
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FieldMatrix<K,3,3> A ( matrix );
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FMatrixHelp::invertMatrix(A, matrix );
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}
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//! invert matrix by calling FMatrixHelp::invert
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template <typename K>
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static inline void invertMatrix (FieldMatrix<K,4,4> &matrix)
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{
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FieldMatrix<K,4,4> A ( matrix );
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FMatrixHelp::invertMatrix(A, matrix );
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}
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//! invert matrix by calling matrix.invert
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template <typename K, int n>
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static inline void invertMatrix (FieldMatrix<K,n,n> &matrix)
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{
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#if ! DUNE_VERSION_NEWER( DUNE_COMMON, 2, 7 )
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Dune::FMatrixPrecision<K>::set_singular_limit(1.e-20);
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#endif
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matrix.invert();
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}
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} // end ISTLUtility
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template <class Scalar, int n, int m>
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class MatrixBlock : public Dune::FieldMatrix<Scalar, n, m>
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{
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public:
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typedef Dune::FieldMatrix<Scalar, n, m> BaseType;
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using BaseType :: operator= ;
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using BaseType :: rows;
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using BaseType :: cols;
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explicit MatrixBlock( const Scalar scalar = 0 ) : BaseType( scalar ) {}
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void invert()
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{
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ISTLUtility::invertMatrix( *this );
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}
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const BaseType& asBase() const { return static_cast< const BaseType& > (*this); }
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BaseType& asBase() { return static_cast< BaseType& > (*this); }
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};
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template<class K, int n, int m>
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void
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print_row (std::ostream& s, const MatrixBlock<K,n,m>& A,
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typename FieldMatrix<K,n,m>::size_type I,
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typename FieldMatrix<K,n,m>::size_type J,
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typename FieldMatrix<K,n,m>::size_type therow, int width,
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int precision)
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{
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print_row(s, A.asBase(), I, J, therow, width, precision);
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}
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template<class K, int n, int m>
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K& firstmatrixelement (MatrixBlock<K,n,m>& A)
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{
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return firstmatrixelement( A.asBase() );
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}
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template<typename Scalar, int n, int m>
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struct MatrixDimension< MatrixBlock< Scalar, n, m > >
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: public MatrixDimension< typename MatrixBlock< Scalar, n, m >::BaseType >
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{
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};
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#if HAVE_UMFPACK
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/// \brief UMFPack specialization for MatrixBlock to make AMG happy
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///
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/// Without this the empty default implementation would be used.
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template<typename T, typename A, int n, int m>
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class UMFPack<BCRSMatrix<MatrixBlock<T,n,m>, A> >
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: public UMFPack<BCRSMatrix<FieldMatrix<T,n,m>, A> >
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{
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typedef UMFPack<BCRSMatrix<FieldMatrix<T,n,m>, A> > Base;
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typedef BCRSMatrix<FieldMatrix<T,n,m>, A> Matrix;
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public:
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typedef BCRSMatrix<MatrixBlock<T,n,m>, A> RealMatrix;
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UMFPack(const RealMatrix& matrix, int verbose, bool)
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: Base(reinterpret_cast<const Matrix&>(matrix), verbose)
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{}
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};
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#endif
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#if HAVE_SUPERLU
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/// \brief SuperLU specialization for MatrixBlock to make AMG happy
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///
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/// Without this the empty default implementation would be used.
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template<typename T, typename A, int n, int m>
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class SuperLU<BCRSMatrix<MatrixBlock<T,n,m>, A> >
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: public SuperLU<BCRSMatrix<FieldMatrix<T,n,m>, A> >
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{
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typedef SuperLU<BCRSMatrix<FieldMatrix<T,n,m>, A> > Base;
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typedef BCRSMatrix<FieldMatrix<T,n,m>, A> Matrix;
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public:
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typedef BCRSMatrix<MatrixBlock<T,n,m>, A> RealMatrix;
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SuperLU(const RealMatrix& matrix, int verbose, bool reuse=true)
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: Base(reinterpret_cast<const Matrix&>(matrix), verbose, reuse)
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{}
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};
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#endif
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} // end namespace Dune
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namespace Opm
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{
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namespace Detail
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{
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//! calculates ret = A^T * B
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template< class K, int m, int n, int p >
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static inline void multMatrixTransposed ( const Dune::FieldMatrix< K, n, m > &A,
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const Dune::FieldMatrix< K, n, p > &B,
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Dune::FieldMatrix< K, m, p > &ret )
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{
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typedef typename Dune::FieldMatrix< K, m, p > :: size_type size_type;
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for( size_type i = 0; i < m; ++i )
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{
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for( size_type j = 0; j < p; ++j )
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{
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ret[ i ][ j ] = K( 0 );
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for( size_type k = 0; k < n; ++k )
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ret[ i ][ j ] += A[ k ][ i ] * B[ k ][ j ];
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}
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}
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}
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} // namespace Detail
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} // namespace Opm
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#endif
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