| Directory: | ./ |
|---|---|
| File: | FiniteElement/elementMatrix.cpp |
| Date: | 2024-04-14 07:32:34 |
| Exec | Total | Coverage | |
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| Lines: | 595 | 1553 | 38.3% |
| Branches: | 655 | 3346 | 19.6% |
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| 1 | // ______ ______ _ _ _____ ______ | ||
| 2 | // | ____| ____| | (_)/ ____| | ____| | ||
| 3 | // | |__ | |__ | | _| (___ ___| |__ | ||
| 4 | // | __| | __| | | | |\___ \ / __| __| | ||
| 5 | // | | | |____| |____| |____) | (__| |____ | ||
| 6 | // |_| |______|______|_|_____/ \___|______| | ||
| 7 | // Finite Elements for Life Sciences and Engineering | ||
| 8 | // | ||
| 9 | // License: LGL2.1 License | ||
| 10 | // FELiScE default license: LICENSE in root folder | ||
| 11 | // | ||
| 12 | // Main authors: J. Foulon & J-F. Gerbeau & V. Martin & Miguel Fernandez | ||
| 13 | // | ||
| 14 | |||
| 15 | // System includes | ||
| 16 | #include <iomanip> | ||
| 17 | #include <numeric> | ||
| 18 | |||
| 19 | // External includes | ||
| 20 | |||
| 21 | // Project includes | ||
| 22 | #include "Core/felisceTools.hpp" | ||
| 23 | #include "FiniteElement/elementMatrix.hpp" | ||
| 24 | #include "Geometry/curvatures.hpp" | ||
| 25 | |||
| 26 | namespace felisce | ||
| 27 | { | ||
| 28 | ✗ | ElementMatrix::ElementMatrix(const ElementMatrix& rOther) | |
| 29 | ✗ | : m_mat(rOther.m_mat), | |
| 30 | ✗ | m_numRow(rOther.m_numRow), | |
| 31 | ✗ | m_firstRow(rOther.m_firstRow), | |
| 32 | ✗ | m_numCol(rOther.m_numCol), | |
| 33 | ✗ | m_firstCol(rOther.m_firstCol), | |
| 34 | ✗ | m_tmpMat(rOther.m_tmpMat), | |
| 35 | ✗ | m_tmpVecCoor(rOther.m_tmpVecCoor), | |
| 36 | ✗ | m_tmpVec2Coor(rOther.m_tmpVec2Coor), | |
| 37 | ✗ | m_tmpVecDof(rOther.m_tmpVecDof), | |
| 38 | ✗ | m_tmpVec2Dof(rOther.m_tmpVec2Dof), | |
| 39 | ✗ | m_tmpVecQuadPoint(rOther.m_tmpVecQuadPoint) | |
| 40 | { | ||
| 41 | } | ||
| 42 | |||
| 43 | /***********************************************************************************/ | ||
| 44 | /***********************************************************************************/ | ||
| 45 | |||
| 46 | 300 | ElementMatrix& ElementMatrix::operator=(const ElementMatrix& rOther) | |
| 47 | { | ||
| 48 | 300 | m_mat = rOther.m_mat; | |
| 49 | 300 | m_numRow = rOther.m_numRow; | |
| 50 | 300 | m_firstRow = rOther.m_firstRow; | |
| 51 | 300 | m_numCol =rOther.m_numCol; | |
| 52 | 300 | m_firstCol = rOther.m_firstCol; | |
| 53 | 300 | m_tmpMat = rOther.m_tmpMat; | |
| 54 | 300 | m_tmpVecCoor = rOther.m_tmpVecCoor; | |
| 55 | 300 | m_tmpVec2Coor = rOther.m_tmpVec2Coor; | |
| 56 | 300 | m_tmpVecDof = rOther.m_tmpVecDof; | |
| 57 | 300 | m_tmpVec2Dof = rOther.m_tmpVec2Dof; | |
| 58 | 300 | m_tmpVecQuadPoint = rOther.m_tmpVecQuadPoint; | |
| 59 | 300 | return *this; | |
| 60 | } | ||
| 61 | |||
| 62 | /***********************************************************************************/ | ||
| 63 | /***********************************************************************************/ | ||
| 64 | |||
| 65 | 120 | void ElementMatrix::duplicateFrom(const ElementMatrix& elmat) | |
| 66 | { | ||
| 67 | // Copy values | ||
| 68 | 120 | *this = elmat; | |
| 69 | |||
| 70 | // Clear matrices | ||
| 71 | 120 | m_mat.clear(); | |
| 72 | 120 | m_tmpMat.clear(); | |
| 73 | 120 | } | |
| 74 | |||
| 75 | /***********************************************************************************/ | ||
| 76 | /***********************************************************************************/ | ||
| 77 | |||
| 78 | 184 | ElementMatrix::ElementMatrix(const std::vector<const CurBaseFiniteElement*>& fe, const std::vector<std::size_t>& nbr, const std::vector<std::size_t>& nbc) : | |
| 79 | 184 | ElementMatrix(fe, nbr, fe, nbc) | |
| 80 | { | ||
| 81 | |||
| 82 | 184 | } | |
| 83 | |||
| 84 | /***********************************************************************************/ | ||
| 85 | /***********************************************************************************/ | ||
| 86 | |||
| 87 | 72223 | ElementMatrix::ElementMatrix(const std::vector<const CurBaseFiniteElement*>& fer, const std::vector<std::size_t>& nbr, const std::vector<const CurBaseFiniteElement*>& fec, const std::vector<std::size_t>& nbc) : | |
| 88 | 193232 | m_mat( std::inner_product(fer.begin(),fer.end(),nbr.begin(), 0, std::plus<std::size_t>(), [](auto a, auto b){ return a->numDof()*b; }), | |
| 89 | 193232 | std::inner_product(fec.begin(),fec.end(),nbc.begin(), 0, std::plus<std::size_t>(), [](auto a, auto b){ return a->numDof()*b; }) ), | |
| 90 |
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193232 | m_tmpMat( std::inner_product(fer.begin(),fer.end(),nbr.begin(), 0, std::plus<std::size_t>(), [](auto a, auto b){ return a->numDof()*b; }), |
| 91 |
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265455 | std::inner_product(fec.begin(),fec.end(),nbc.begin(), 0, std::plus<std::size_t>(), [](auto a, auto b){ return a->numDof()*b; }) ) |
| 92 | { | ||
| 93 |
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72223 | m_mat.clear(); |
| 94 |
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72223 | m_tmpMat.clear(); |
| 95 | |||
| 96 | // TODO are the following used whenever there are one or two finite elements?? | ||
| 97 | // If not would be better allocate the memory using an ad hoc method | ||
| 98 |
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72223 | if (fer.size() == 1) { |
| 99 |
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23517 | m_tmpVecCoor.resize(fer[0]->numCoor()); |
| 100 |
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23517 | m_tmpVecDof.resize(fer[0]->numDof()); |
| 101 |
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23517 | m_tmpVecQuadPoint.resize(fer[0]->numQuadraturePoint()); |
| 102 |
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48706 | } else if (fer.size() == 2) { |
| 103 | // THIS LOOKS REALLY UGLY!!!!!!!!!!!!!!!! (different from the constructor with curvilinearFE.) | ||
| 104 | // CANNOT THIS BE MOVED ELSEWHERE ??? VM 2013/04 | ||
| 105 | // Needed for the functions a_grad_phi_i_grad_phi_j and a_eps_phi_i_eps_phi_j | ||
| 106 |
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48666 | m_tmpVecQuadPoint.resize(fer[1]->numQuadraturePoint()); |
| 107 | } | ||
| 108 | |||
| 109 | // | ||
| 110 | 72223 | std::size_t sumr = std::accumulate(nbr.begin(),nbr.end(),0); | |
| 111 | 72223 | std::size_t sumc = std::accumulate(nbc.begin(),nbc.end(),0); | |
| 112 |
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72223 | m_numRow.resize(sumr); |
| 113 |
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72223 | m_firstRow.resize(sumr); |
| 114 |
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72223 | m_numCol.resize(sumc); |
| 115 |
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72223 | m_firstCol.resize(sumc); |
| 116 | // | ||
| 117 | 72223 | std::size_t first = 0; | |
| 118 | 72223 | std::size_t start = 0; | |
| 119 | 72223 | std::size_t end = 0; | |
| 120 |
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193232 | for (std::size_t i=0; i<nbr.size(); i++) { |
| 121 | 121009 | end += nbr[i]; | |
| 122 |
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388041 | for (std::size_t n=start; n<end; n++){ |
| 123 | 267032 | m_numRow[ n ]=fer[i]->numDof(); | |
| 124 | 267032 | m_firstRow[ n ]=first; | |
| 125 | 267032 | first += fer[i]->numDof(); | |
| 126 | } | ||
| 127 | 121009 | start += nbr[i]; | |
| 128 | } | ||
| 129 | // | ||
| 130 | 72223 | first = 0; | |
| 131 | 72223 | start = 0; | |
| 132 | 72223 | end = 0; | |
| 133 |
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193232 | for (std::size_t i=0; i<nbc.size(); i++) { |
| 134 | 121009 | end += nbc[i]; | |
| 135 |
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388041 | for (std::size_t n=start; n<end; n++){ |
| 136 | 267032 | m_numCol[ n ]=fec[i]->numDof(); | |
| 137 | 267032 | m_firstCol[ n ]=first; | |
| 138 | 267032 | first += fec[i]->numDof(); | |
| 139 | } | ||
| 140 | 121009 | start += nbc[i]; | |
| 141 | } | ||
| 142 | 72223 | } | |
| 143 | |||
| 144 | /***********************************************************************************/ | ||
| 145 | /***********************************************************************************/ | ||
| 146 | |||
| 147 | ✗ | ElementMatrix::ElementMatrix(const CurBaseFiniteElement& fe, const std::size_t nbr1, const std::size_t nbc1 ) : | |
| 148 | ✗ | ElementMatrix(std::vector<const CurBaseFiniteElement*>{&fe}, | |
| 149 | ✗ | std::vector<std::size_t>{nbr1}, | |
| 150 | ✗ | std::vector<std::size_t>{nbc1}) | |
| 151 | { | ||
| 152 | |||
| 153 | } | ||
| 154 | |||
| 155 | /***********************************************************************************/ | ||
| 156 | /***********************************************************************************/ | ||
| 157 | |||
| 158 | ✗ | ElementMatrix::ElementMatrix(const CurBaseFiniteElement& fe1, const std::size_t nbr1, const std::size_t nbc1, | |
| 159 | ✗ | const CurBaseFiniteElement& fe2, const std::size_t nbr2, const std::size_t nbc2 ) : | |
| 160 | ✗ | ElementMatrix(std::vector<const CurBaseFiniteElement*>{&fe1,&fe2}, | |
| 161 | ✗ | std::vector<std::size_t>{nbr1,nbr2}, | |
| 162 | ✗ | std::vector<std::size_t>{nbc1,nbc2}) | |
| 163 | { | ||
| 164 | |||
| 165 | } | ||
| 166 | |||
| 167 | /***********************************************************************************/ | ||
| 168 | /***********************************************************************************/ | ||
| 169 | |||
| 170 | ✗ | ElementMatrix::ElementMatrix(const CurBaseFiniteElement& fe1, const std::size_t nbr1, const std::size_t nbc1, | |
| 171 | const CurBaseFiniteElement& fe2, const std::size_t nbr2, const std::size_t nbc2, | ||
| 172 | ✗ | const CurBaseFiniteElement& fe3, const std::size_t nbr3, const std::size_t nbc3 ) : | |
| 173 | ✗ | ElementMatrix(std::vector<const CurBaseFiniteElement*>{&fe1,&fe2,&fe3}, | |
| 174 | ✗ | std::vector<std::size_t>{nbr1,nbr2,nbr3}, | |
| 175 | ✗ | std::vector<std::size_t>{nbc1,nbc2,nbc3}) | |
| 176 | { | ||
| 177 | |||
| 178 | } | ||
| 179 | |||
| 180 | /***********************************************************************************/ | ||
| 181 | /***********************************************************************************/ | ||
| 182 | |||
| 183 | 61 | void ElementMatrix::operator+=(const ElementMatrix& rhs) | |
| 184 | { | ||
| 185 |
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61 | FEL_ASSERT(m_firstRow == rhs.m_firstRow); |
| 186 |
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61 | FEL_ASSERT(m_numCol == rhs.m_numCol); |
| 187 |
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61 | FEL_ASSERT(m_firstCol == rhs.m_firstCol); |
| 188 | |||
| 189 | 61 | m_mat += rhs.m_mat; | |
| 190 | 61 | } | |
| 191 | |||
| 192 | /***********************************************************************************/ | ||
| 193 | /***********************************************************************************/ | ||
| 194 | |||
| 195 | 61 | void ElementMatrix::operator-=(const ElementMatrix& rhs) | |
| 196 | { | ||
| 197 |
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61 | FEL_ASSERT(m_firstRow == rhs.m_firstRow); |
| 198 |
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61 | FEL_ASSERT(m_numCol == rhs.m_numCol); |
| 199 |
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61 | FEL_ASSERT(m_firstCol == rhs.m_firstCol); |
| 200 | |||
| 201 | 61 | m_mat -= rhs.m_mat; | |
| 202 | 61 | } | |
| 203 | |||
| 204 | /***********************************************************************************/ | ||
| 205 | /***********************************************************************************/ | ||
| 206 | |||
| 207 | 181 | void ElementMatrix::operator*=(const double factor) | |
| 208 | { | ||
| 209 | 181 | m_mat *= factor; | |
| 210 | 181 | } | |
| 211 | |||
| 212 | /***********************************************************************************/ | ||
| 213 | /***********************************************************************************/ | ||
| 214 | |||
| 215 | ✗ | void ElementMatrix::print(std::size_t verbose,std::ostream& c) //cannot be "const" because of matrix_range. | |
| 216 | { | ||
| 217 | ✗ | if(verbose) { | |
| 218 | ✗ | for (std::size_t i=0; i<m_firstRow.size(); i++) { | |
| 219 | ✗ | for (std::size_t j=0; j<m_firstCol.size(); j++) { | |
| 220 | ✗ | c << "Block (" << i << "," << j << "): "; | |
| 221 | ✗ | UBlasMatrixRange b(m_mat,UBlasRange( m_firstRow[i], m_firstRow[i]+m_numRow[i]), | |
| 222 | ✗ | UBlasRange( m_firstCol[j], m_firstCol[j]+m_numCol[j])); | |
| 223 | ✗ | c << std::endl; | |
| 224 | ✗ | for(unsigned int ir=0; ir<m_numRow[i]; ir++) { | |
| 225 | ✗ | for(unsigned int ic=0; ic<m_numCol[j]; ic++) { | |
| 226 | ✗ | c << std::setw(12) << std::setprecision(9) << b(ir,ic) << " "; | |
| 227 | } | ||
| 228 | ✗ | c<< std::endl; | |
| 229 | } | ||
| 230 | } | ||
| 231 | } | ||
| 232 | } | ||
| 233 | } | ||
| 234 | |||
| 235 | /***********************************************************************************/ | ||
| 236 | /***********************************************************************************/ | ||
| 237 | |||
| 238 | 9745913 | void ElementMatrix::grad_phi_i_grad_phi_j(const double coef,const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 239 | { | ||
| 240 |
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9745913 | m_tmpMat.clear(); |
| 241 |
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9745913 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 242 |
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50045366 | for(int ig=0, numQuadPoint = fe.numQuadraturePoint(); ig < numQuadPoint; ig++) { |
| 243 |
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40299453 | tmpBlock += coef * fe.weightMeas(ig) * prod(trans(fe.dPhi[ig]),fe.dPhi[ig]); |
| 244 | } | ||
| 245 | |||
| 246 |
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36222622 | for(std::size_t icoor=0; icoor < num; icoor++) { |
| 247 |
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26476709 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 248 |
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26476709 | matrix += tmpBlock; |
| 249 | 26476709 | } | |
| 250 | 9745913 | } | |
| 251 | |||
| 252 | /***********************************************************************************/ | ||
| 253 | /***********************************************************************************/ | ||
| 254 | |||
| 255 | 2760 | void ElementMatrix::grad_phi_i_grad_phi_j(const double coef,const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 256 | { | ||
| 257 |
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2760 | m_tmpMat.clear(); |
| 258 |
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2760 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 259 |
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2760 | UBlasMatrix tmpAdPhi(fe.contravariantMetric[0].size1(), fe.dPhiRef(0).size2()); |
| 260 |
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8280 | for(int ig=0, numQuadPoint = fe.numQuadraturePoint(); ig < numQuadPoint; ig++) { |
| 261 |
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5520 | tmpAdPhi = prod(fe.contravariantMetric[ig],fe.dPhiRef(ig)); |
| 262 |
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5520 | tmpBlock += coef*fe.weightMeas(ig)*prod(trans(fe.dPhiRef(ig)),tmpAdPhi); |
| 263 | } | ||
| 264 | |||
| 265 |
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5520 | for(std::size_t icoor=0; icoor < num; icoor++) { |
| 266 |
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2760 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 267 |
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2760 | matrix += tmpBlock; |
| 268 | 2760 | } | |
| 269 | 2760 | } | |
| 270 | |||
| 271 | /***********************************************************************************/ | ||
| 272 | /***********************************************************************************/ | ||
| 273 | |||
| 274 | ✗ | void ElementMatrix::u_grad_phi_j_phi_i(const double coef,const ElementField& vel, const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 275 | { | ||
| 276 | ✗ | m_tmpMat.clear(); | |
| 277 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock,jblock); | |
| 278 | |||
| 279 | ✗ | const int numDof = fe.numDof(); | |
| 280 | ✗ | const int numRefCoor = fe.numRefCoor(); | |
| 281 | ✗ | const int numCoor = fe.numCoor(); | |
| 282 | ✗ | UBlasVector velContra(numRefCoor); | |
| 283 | |||
| 284 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 285 | ✗ | switch(vel.type()) { | |
| 286 | ✗ | case CONSTANT_FIELD: | |
| 287 | // nothing to do : the constant field has been computed before the integration loop | ||
| 288 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 289 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,0); | |
| 290 | ✗ | break; | |
| 291 | ✗ | case DOF_FIELD: { | |
| 292 | ✗ | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); | |
| 293 | ✗ | break; | |
| 294 | } | ||
| 295 | ✗ | case QUAD_POINT_FIELD: { | |
| 296 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 297 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,ig); | |
| 298 | ✗ | break; | |
| 299 | } | ||
| 300 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 301 | // (that's truly the point of using enums as switch cases) | ||
| 302 | // default: | ||
| 303 | // FEL_ERROR("Operator 'u_grad_phi_j_phi_i' not yet implemented with this type of element fields"); | ||
| 304 | } | ||
| 305 | ✗ | const double weightMas = fe.weightMeas(ig); | |
| 306 | double sum; | ||
| 307 | |||
| 308 | // Compute contravaint components of vel | ||
| 309 | ✗ | for (int icoorRef=0; icoorRef < numRefCoor; icoorRef++){ | |
| 310 | ✗ | sum = 0; | |
| 311 | ✗ | for (int icoor=0; icoor< numCoor; icoor++) | |
| 312 | ✗ | sum += m_tmpVecCoor(icoor)*fe.contravariantCompleteBasis[ig](icoor,icoorRef); | |
| 313 | ✗ | velContra(icoorRef) = sum; | |
| 314 | } | ||
| 315 | |||
| 316 | // Compute direction derivative of the ref basis functions | ||
| 317 | ✗ | for(int jdof=0; jdof< numDof; jdof++) { | |
| 318 | ✗ | sum = 0; | |
| 319 | ✗ | for (int icoorRef=0; icoorRef < numRefCoor; icoorRef++) | |
| 320 | ✗ | sum += fe.dPhiRef(ig)(icoorRef,jdof) * velContra(icoorRef) ; | |
| 321 | ✗ | m_tmpVecDof(jdof) = sum; | |
| 322 | } | ||
| 323 | //m_tmpVecDof = prod(trans(fe.dPhi[ig]),m_tmpVecCoor); // m_tmpVecDof = vel \cdot \nabla \phi_i | ||
| 324 | ✗ | for(int idof=0; idof<fe.numDof(); idof++) { | |
| 325 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 326 | ✗ | tmpblock(idof,jdof) += coef * weightMas * m_tmpVecDof(jdof) * fe.phi[ig](idof); | |
| 327 | } | ||
| 328 | } | ||
| 329 | } | ||
| 330 | |||
| 331 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 332 | ✗ | UBlasMatrixRange block = matBlock(iblock+icoor,jblock+icoor); | |
| 333 | ✗ | block += tmpblock; | |
| 334 | } | ||
| 335 | } | ||
| 336 | |||
| 337 | /***********************************************************************************/ | ||
| 338 | /***********************************************************************************/ | ||
| 339 | |||
| 340 | ✗ | void ElementMatrix::a_grad_phi_i_grad_phi_j(const double coef,const ElementField& scalfct,const CurrentFiniteElement& fe,const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 341 | { | ||
| 342 | ✗ | m_tmpMat.clear(); | |
| 343 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 344 | |||
| 345 | ✗ | switch(scalfct.type()) { | |
| 346 | ✗ | case CONSTANT_FIELD: | |
| 347 | // nothing to do : the constant field has been computed before the integration loop | ||
| 348 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 349 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,0); | |
| 350 | ✗ | break; | |
| 351 | ✗ | case DOF_FIELD: | |
| 352 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 353 | ✗ | m_tmpVecCoor = prod(scalfct.val,fe.phi[ig]); | |
| 354 | ✗ | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0); | |
| 355 | } | ||
| 356 | ✗ | break; | |
| 357 | ✗ | case QUAD_POINT_FIELD: | |
| 358 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 359 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,ig); | |
| 360 | } | ||
| 361 | ✗ | break; | |
| 362 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 363 | // (that's truly the point of using enums as switch cases) | ||
| 364 | // default: | ||
| 365 | // FEL_ERROR("Operator 'a_grad_phi_i_grad_phi_j' not yet implemented with this type of element fields"); | ||
| 366 | } | ||
| 367 | |||
| 368 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 369 | ✗ | tmpblock += coef * m_tmpVecQuadPoint(ig) * fe.weightMeas(ig) * prod(trans(fe.dPhi[ig]),fe.dPhi[ig]); | |
| 370 | |||
| 371 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 372 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 373 | ✗ | matrix += tmpblock; | |
| 374 | } | ||
| 375 | } | ||
| 376 | |||
| 377 | /***********************************************************************************/ | ||
| 378 | /***********************************************************************************/ | ||
| 379 | |||
| 380 | ✗ | void ElementMatrix::a_grad_phi_i_grad_phi_j(const double coef,const ElementField& scalfct,const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 381 | { | ||
| 382 | ✗ | m_tmpMat.clear(); | |
| 383 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 384 | |||
| 385 | ✗ | switch(scalfct.type()) { | |
| 386 | ✗ | case CONSTANT_FIELD: | |
| 387 | // nothing to do : the constant field has been computed before the integration loop | ||
| 388 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 389 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,0); | |
| 390 | ✗ | break; | |
| 391 | ✗ | case DOF_FIELD: | |
| 392 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 393 | ✗ | m_tmpVecCoor = prod(scalfct.val,fe.phi[ig]); | |
| 394 | ✗ | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0); | |
| 395 | } | ||
| 396 | ✗ | break; | |
| 397 | ✗ | case QUAD_POINT_FIELD: | |
| 398 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 399 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,ig); | |
| 400 | } | ||
| 401 | ✗ | break; | |
| 402 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 403 | // (that's truly the point of using enums as switch cases) | ||
| 404 | // default: | ||
| 405 | // FEL_ERROR("Operator 'a_grad_phi_i_grad_phi_j' not yet implemented with this type of element fields"); | ||
| 406 | } | ||
| 407 | ✗ | UBlasMatrix tmpAdPhi; | |
| 408 | ✗ | for(int ig=0, numQuadPoint = fe.numQuadraturePoint(); ig < numQuadPoint; ig++) { | |
| 409 | ✗ | tmpAdPhi = prod(fe.contravariantMetric[ig],fe.dPhiRef(ig)); | |
| 410 | ✗ | tmpBlock += coef*fe.weightMeas(ig)*m_tmpVecQuadPoint(ig)*prod(trans(fe.dPhiRef(ig)),tmpAdPhi); | |
| 411 | } | ||
| 412 | |||
| 413 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 414 | ✗ | UBlasMatrixRange mat = matBlock(iblock+icoor,jblock+icoor); | |
| 415 | ✗ | mat += tmpBlock; | |
| 416 | } | ||
| 417 | } | ||
| 418 | |||
| 419 | /***********************************************************************************/ | ||
| 420 | /***********************************************************************************/ | ||
| 421 | |||
| 422 | 8133273 | void ElementMatrix::eps_phi_i_eps_phi_j(const double coef,const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 423 | { | ||
| 424 |
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8133273 | m_tmpMat.clear(); |
| 425 | 8133273 | const double f2 = 0.5 *coef; | |
| 426 |
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8133273 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 427 | |||
| 428 |
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8133273 | grad_phi_i_grad_phi_j(f2, fe, iblock, jblock, num); |
| 429 | |||
| 430 | // Add the cross terms and the remaining diagonal term. | ||
| 431 |
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32302216 | for (std::size_t icoor=0; icoor<num; icoor++) { |
| 432 |
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96214020 | for (std::size_t jcoor=0; jcoor<num; jcoor++) { |
| 433 |
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359333881 | for(int idof=0; idof<fe.numDof(); idof++) { |
| 434 |
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1433769508 | for(int jdof=0; jdof<fe.numDof(); jdof++) { |
| 435 |
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1146480704 | tmpBlock(idof,jdof) = 0.; |
| 436 |
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5888800192 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 437 |
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4742319488 | tmpBlock(idof,jdof) += f2 * fe.weightMeas(ig) * fe.dPhi[ig](icoor,jdof) * fe.dPhi[ig](jcoor,idof); |
| 438 | } | ||
| 439 | } | ||
| 440 | } | ||
| 441 | |||
| 442 |
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72045077 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); |
| 443 |
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72045077 | matrix += tmpBlock; |
| 444 | 72045077 | } | |
| 445 | } | ||
| 446 | 8133273 | } | |
| 447 | |||
| 448 | /***********************************************************************************/ | ||
| 449 | /***********************************************************************************/ | ||
| 450 | |||
| 451 | ✗ | void ElementMatrix::a_eps_phi_i_eps_phi_j(const double coef,const ElementField& scalfct,const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 452 | { | ||
| 453 | ✗ | m_tmpMat.clear(); | |
| 454 | ✗ | const double f2 = 0.5 *coef; | |
| 455 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 456 | |||
| 457 | ✗ | switch(scalfct.type()) { | |
| 458 | ✗ | case CONSTANT_FIELD: | |
| 459 | // nothing to do : the constant field has been computed before the integration loop | ||
| 460 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 461 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,0); | |
| 462 | ✗ | break; | |
| 463 | ✗ | case DOF_FIELD: | |
| 464 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 465 | ✗ | m_tmpVecCoor = prod(scalfct.val,fe.phi[ig]); | |
| 466 | ✗ | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0); | |
| 467 | } | ||
| 468 | ✗ | break; | |
| 469 | ✗ | case QUAD_POINT_FIELD: | |
| 470 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 471 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,ig); | |
| 472 | ✗ | break; | |
| 473 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 474 | // (that's truly the point of using enums as switch cases) | ||
| 475 | // default: | ||
| 476 | // FEL_ERROR("Operator 'a_eps_phi_i_eps_phi_j' not yet implemented with this type of element fields"); | ||
| 477 | } | ||
| 478 | |||
| 479 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 480 | ✗ | tmpBlock += f2 * m_tmpVecQuadPoint(ig) * fe.weightMeas(ig) * prod(trans(fe.dPhi[ig]),fe.dPhi[ig]); | |
| 481 | |||
| 482 | // Laplace operator on each velocity components | ||
| 483 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 484 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 485 | ✗ | matrix += tmpBlock; | |
| 486 | } | ||
| 487 | |||
| 488 | // Cross terms | ||
| 489 | ✗ | for (int icoor=0; icoor<fe.numRefCoor(); icoor++) { | |
| 490 | ✗ | for (int jcoor=0; jcoor<fe.numRefCoor(); jcoor++) { | |
| 491 | ✗ | for(int idof=0; idof<fe.numDof(); idof++) { | |
| 492 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 493 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 494 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 495 | ✗ | tmpBlock(idof,jdof) += f2 * m_tmpVecQuadPoint(ig) * fe.weightMeas(ig) * fe.dPhi[ig](icoor,idof) * fe.dPhi[ig](jcoor,jdof); | |
| 496 | } | ||
| 497 | } | ||
| 498 | } | ||
| 499 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); | |
| 500 | ✗ | matrix += tmpBlock; | |
| 501 | } | ||
| 502 | } | ||
| 503 | } | ||
| 504 | |||
| 505 | /***********************************************************************************/ | ||
| 506 | /***********************************************************************************/ | ||
| 507 | |||
| 508 | 242 | void ElementMatrix::tau_grad_phi_i_tau_grad_phi_j(const double coef,const std::vector<double>& diffTensor,const CurrentFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num,std::size_t dim) | |
| 509 | { | ||
| 510 |
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242 | m_tmpMat.clear(); |
| 511 |
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242 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 512 | double norm; | ||
| 513 |
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242 | UBlasMatrix vec_tensor(dim,1); |
| 514 |
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242 | UBlasMatrix tensor(dim,dim); |
| 515 | //compute diffTensor at quadrature point | ||
| 516 |
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1694 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 517 |
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4356 | for (int icoor=0; icoor<static_cast<int>(dim); icoor++) { |
| 518 |
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2904 | vec_tensor(icoor,0) = 0.; |
| 519 | } | ||
| 520 |
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4356 | for (std::size_t icoor=0; icoor<std::size_t(fe.numCoor()); icoor++) { |
| 521 |
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11616 | for (int idof=0; idof<fe.numDof(); idof++) { |
| 522 |
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8712 | vec_tensor(icoor,0) += fe.phi[ig](idof)*diffTensor[icoor+dim*idof]; |
| 523 | } | ||
| 524 | } | ||
| 525 | 1452 | norm = 0.; | |
| 526 |
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4356 | for (std::size_t icoor=0; icoor<dim; icoor++) { |
| 527 |
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2904 | norm += vec_tensor(icoor,0)*vec_tensor(icoor,0); |
| 528 | } | ||
| 529 |
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1452 | if (std::fabs(norm) < 1.0e-8) |
| 530 |
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1452 | tensor = 0.0 * prod(vec_tensor,trans(vec_tensor)); |
| 531 | else | ||
| 532 | ✗ | tensor = 1./norm * prod(vec_tensor,trans(vec_tensor)); | |
| 533 | |||
| 534 |
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1452 | tmpBlock += coef * fe.weightMeas(ig) * prod(trans(prod(tensor,fe.dPhi[ig])),fe.dPhi[ig]); |
| 535 | } | ||
| 536 |
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484 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 537 |
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242 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 538 |
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242 | matrix += tmpBlock; |
| 539 | 242 | } | |
| 540 | 242 | } | |
| 541 | |||
| 542 | /***********************************************************************************/ | ||
| 543 | /***********************************************************************************/ | ||
| 544 | |||
| 545 | ✗ | void ElementMatrix::tau_grad_phi_i_tau_grad_phi_j(const double coef,const std::vector<double>& diffTensor,const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 546 | { | ||
| 547 | //For fibers in cardiac electrophysiology | ||
| 548 | ✗ | m_tmpMat.clear(); | |
| 549 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 550 | ✗ | UBlasVector vec_tensor(3); | |
| 551 | double norm; | ||
| 552 | ✗ | UBlasVector sp_covBasis(2); | |
| 553 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 554 | ✗ | vec_tensor.clear(); | |
| 555 | ✗ | for (int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 556 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 557 | ✗ | vec_tensor(icoor) += fe.phi[ig](idof)*diffTensor[icoor+3*idof]; | |
| 558 | } | ||
| 559 | } | ||
| 560 | ✗ | norm = norm_2(vec_tensor); | |
| 561 | |||
| 562 | ✗ | sp_covBasis(0) = vec_tensor(0)*fe.contravariantCompleteBasis[ig](0,0)+vec_tensor(1)*fe.contravariantCompleteBasis[ig](1,0)+vec_tensor(2)*fe.contravariantCompleteBasis[ig](2,0); | |
| 563 | ✗ | sp_covBasis(1) = vec_tensor(0)*fe.contravariantCompleteBasis[ig](0,1)+vec_tensor(1)*fe.contravariantCompleteBasis[ig](1,1)+vec_tensor(2)*fe.contravariantCompleteBasis[ig](2,1); | |
| 564 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 565 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 566 | ✗ | for (int icoor=0; icoor<fe.numRefCoor(); icoor++) { | |
| 567 | ✗ | for (int jcoor=0; jcoor<fe.numRefCoor(); jcoor++) { | |
| 568 | ✗ | if (Tools::equal(norm,0.)) { | |
| 569 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 570 | } else { | ||
| 571 | ✗ | tmpBlock(idof,jdof) += coef / norm * (fe.weightMeas(ig) * fe.dPhiRef(ig)(icoor,idof) * sp_covBasis(icoor) * sp_covBasis(jcoor) * fe.dPhiRef(ig)(jcoor,jdof)); | |
| 572 | } | ||
| 573 | } | ||
| 574 | } | ||
| 575 | } | ||
| 576 | } | ||
| 577 | } | ||
| 578 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 579 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 580 | ✗ | matrix += tmpBlock; | |
| 581 | } | ||
| 582 | } | ||
| 583 | |||
| 584 | /***********************************************************************************/ | ||
| 585 | /***********************************************************************************/ | ||
| 586 | |||
| 587 | ✗ | void ElementMatrix::tau_orthotau_grad_phi_i_grad_phi_j(const double coef,const std::vector<double>& diffTensor,const std::vector<double>& angle,const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 588 | { | ||
| 589 | ✗ | m_tmpMat.clear(); | |
| 590 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 591 | |||
| 592 | // tau in quadrature point | ||
| 593 | ✗ | UBlasVector vec_tensor(3); | |
| 594 | |||
| 595 | // Orthogonal vector of tau in the tangent plane | ||
| 596 | ✗ | UBlasVector vec_ortho_tensor(3); | |
| 597 | |||
| 598 | // Decomposition of tau in the covariant basis | ||
| 599 | ✗ | UBlasVector tau_covBasis(2); | |
| 600 | |||
| 601 | // Decomposition of the tau orthogonal in the covariant basis | ||
| 602 | ✗ | UBlasVector tau_ortho_covBasis(2); | |
| 603 | |||
| 604 | // Norm of vector tau | ||
| 605 | ✗ | double norm = 0.; | |
| 606 | |||
| 607 | // Fibers in the atria turn | ||
| 608 | ✗ | double Theta = 0.; | |
| 609 | ✗ | double iTheta = 0.; | |
| 610 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 611 | ✗ | vec_tensor(0) = 0.; | |
| 612 | ✗ | vec_tensor(1) = 0.; | |
| 613 | ✗ | vec_tensor(2) = 0.; | |
| 614 | ✗ | for (int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 615 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 616 | ✗ | vec_tensor(icoor) += fe.phi[ig](idof)*diffTensor[icoor+3*idof]; | |
| 617 | } | ||
| 618 | } | ||
| 619 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 620 | ✗ | Theta = angle[idof]; | |
| 621 | |||
| 622 | ✗ | if (std::fabs(Theta) < 1.0e-8) { | |
| 623 | ✗ | iTheta = 1.; | |
| 624 | } else { | ||
| 625 | ✗ | iTheta = 1./2.+ std::sin(2.* Theta)/(4.* Theta); | |
| 626 | } | ||
| 627 | |||
| 628 | ✗ | norm = vec_tensor(0)*vec_tensor(0)+vec_tensor(1)*vec_tensor(1)+vec_tensor(2)*vec_tensor(2); | |
| 629 | //vec_ortho_tensor = vec_tensor vec a_3 | ||
| 630 | ✗ | vec_ortho_tensor(0) = - fe.contravariantCompleteBasis[ig](1,2)*vec_tensor(2) + fe.contravariantCompleteBasis[ig](2,2)*vec_tensor(1); | |
| 631 | ✗ | vec_ortho_tensor(1) = - fe.contravariantCompleteBasis[ig](2,2)*vec_tensor(0) + fe.contravariantCompleteBasis[ig](0,2)*vec_tensor(2); | |
| 632 | ✗ | vec_ortho_tensor(2) = - fe.contravariantCompleteBasis[ig](0,2)*vec_tensor(1) + fe.contravariantCompleteBasis[ig](1,2)*vec_tensor(0); | |
| 633 | |||
| 634 | //(vec_tensor.a^1) and (vec_tensor.a^2) | ||
| 635 | ✗ | tau_covBasis(0) = vec_tensor(0)*fe.contravariantCompleteBasis[ig](0,0) + vec_tensor(1)*fe.contravariantCompleteBasis[ig](1,0) + vec_tensor(2)*fe.contravariantCompleteBasis[ig](2,0); | |
| 636 | ✗ | tau_covBasis(1) = vec_tensor(0)*fe.contravariantCompleteBasis[ig](0,1) + vec_tensor(1)*fe.contravariantCompleteBasis[ig](1,1) + vec_tensor(2)*fe.contravariantCompleteBasis[ig](2,1); | |
| 637 | |||
| 638 | //(diffTensorOrtho.a^1) and (diffTensorOrtho.a^2) | ||
| 639 | ✗ | tau_ortho_covBasis(0) = vec_ortho_tensor(0)*fe.contravariantCompleteBasis[ig](0,0) + vec_ortho_tensor(1)*fe.contravariantCompleteBasis[ig](1,0) + vec_ortho_tensor(2)*fe.contravariantCompleteBasis[ig](2,0); | |
| 640 | ✗ | tau_ortho_covBasis(1) = vec_ortho_tensor(0)*fe.contravariantCompleteBasis[ig](0,1) + vec_ortho_tensor(1)*fe.contravariantCompleteBasis[ig](1,1) + vec_ortho_tensor(2)*fe.contravariantCompleteBasis[ig](2,1); | |
| 641 | } | ||
| 642 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 643 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 644 | ✗ | for (int icoor=0; icoor<fe.numRefCoor(); icoor++) { | |
| 645 | ✗ | for (int jcoor=0; jcoor<fe.numRefCoor(); jcoor++) { | |
| 646 | ✗ | if (std::fabs(norm) < 1.0e-8) { | |
| 647 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 648 | } else { | ||
| 649 | ✗ | tmpBlock(idof,jdof) += coef / norm * fe.weightMeas(ig) * (iTheta * fe.dPhiRef(ig)(icoor,idof) * tau_covBasis(icoor) * tau_covBasis(jcoor) * fe.dPhiRef(ig)(jcoor,jdof) + (1. - iTheta) * fe.dPhiRef(ig)(icoor,idof) * tau_ortho_covBasis(icoor) * tau_ortho_covBasis(jcoor) * fe.dPhiRef(ig)(jcoor,jdof)); | |
| 650 | } | ||
| 651 | } | ||
| 652 | } | ||
| 653 | } | ||
| 654 | } | ||
| 655 | } | ||
| 656 | |||
| 657 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 658 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 659 | ✗ | matrix += tmpBlock; | |
| 660 | } | ||
| 661 | } | ||
| 662 | |||
| 663 | /***********************************************************************************/ | ||
| 664 | /***********************************************************************************/ | ||
| 665 | |||
| 666 | 4209 | void ElementMatrix::grad_phi_i_GradientBasedElastTensor_grad_phi_j(const double coef, | |
| 667 | const CurrentFiniteElement& fe, | ||
| 668 | UBlasMatrix& GradientBasedElastTensor, | ||
| 669 | const std::size_t iblock, const std::size_t jblock) | ||
| 670 | { | ||
| 671 | 4209 | const std::size_t nC = fe.numRefCoor(); | |
| 672 | 4209 | const int numQuadraturePoint = fe.numQuadraturePoint(); | |
| 673 | 4209 | const std::vector<UBlasMatrix>& dPhi = fe.dPhi; // alias | |
| 674 | |||
| 675 |
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12827 | for (std::size_t icoor = 0u; icoor < nC; ++icoor) { |
| 676 |
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26454 | for (std::size_t jcoor = 0u; jcoor < nC; ++jcoor) { |
| 677 |
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17836 | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); |
| 678 | |||
| 679 | UBlasMatrixRange Block(GradientBasedElastTensor, | ||
| 680 |
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17836 | UBlasRange(icoor * nC, icoor * nC + nC), |
| 681 |
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35672 | UBlasRange(jcoor * nC, jcoor * nC + nC)); |
| 682 | |||
| 683 |
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73380 | for(int ig = 0; ig < numQuadraturePoint; ++ig) { |
| 684 |
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111088 | UBlasMatrix tmpBlock = prod(trans(dPhi[ig]), Block); |
| 685 |
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55544 | matrix += coef * fe.weightMeas(ig) * prod(tmpBlock, dPhi[ig]); |
| 686 | 55544 | } | |
| 687 | 17836 | } | |
| 688 | } | ||
| 689 | 4209 | } | |
| 690 | |||
| 691 | /***********************************************************************************/ | ||
| 692 | /***********************************************************************************/ | ||
| 693 | |||
| 694 | 1578000 | void ElementMatrix::grad_phi_i_GradientBasedHyperElastTensor_grad_phi_j(const double coef, | |
| 695 | const CurrentFiniteElement& finite_element, | ||
| 696 | int quadraturePointIndex, | ||
| 697 | UBlasMatrix& GradientBasedHyperElastTensor, | ||
| 698 | const std::size_t iblock, const std::size_t jblock) | ||
| 699 | { | ||
| 700 | 1578000 | const std::size_t nC = finite_element.numRefCoor(); | |
| 701 | |||
| 702 | 1578000 | const UBlasMatrix& dPhi = finite_element.dPhi[quadraturePointIndex]; // alias | |
| 703 |
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1578000 | const double modified_m_weightmeas = finite_element.weightMeas(quadraturePointIndex) * coef; |
| 704 | |||
| 705 |
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4734000 | for (std::size_t icoor = 0u; icoor < nC; ++icoor) { |
| 706 |
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9468000 | for (std::size_t jcoor = 0u; jcoor < nC; ++jcoor) { |
| 707 |
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6312000 | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); |
| 708 | |||
| 709 | UBlasMatrixRange Block(GradientBasedHyperElastTensor, | ||
| 710 |
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6312000 | UBlasRange(icoor * nC, icoor * nC + nC), |
| 711 |
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12624000 | UBlasRange(jcoor * nC, jcoor * nC + nC)); |
| 712 | |||
| 713 |
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12624000 | UBlasMatrix tmpBlock = prod(trans(dPhi), Block); |
| 714 |
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6312000 | matrix += modified_m_weightmeas * prod(tmpBlock, dPhi); |
| 715 | 6312000 | } | |
| 716 | } | ||
| 717 | 1578000 | } | |
| 718 | |||
| 719 | /***********************************************************************************/ | ||
| 720 | /***********************************************************************************/ | ||
| 721 | |||
| 722 | 8316850 | void ElementMatrix::phi_i_phi_j(const double coef,const CurBaseFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 723 | { | ||
| 724 |
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8316850 | m_tmpMat.clear(); |
| 725 |
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8316850 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 726 |
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42824187 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 727 |
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34507337 | tmpBlock += ( coef * fe.weightMeas(ig) ) * outer_prod(fe.phi[ig], fe.phi[ig]); |
| 728 | } | ||
| 729 | |||
| 730 |
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32840566 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 731 |
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24523716 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 732 |
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24523716 | matrix += tmpBlock; |
| 733 | 24523716 | } | |
| 734 | 8316850 | } | |
| 735 | |||
| 736 | /***********************************************************************************/ | ||
| 737 | /***********************************************************************************/ | ||
| 738 | |||
| 739 | ✗ | void ElementMatrix::setZerosLung(const double coef,const CurvilinearFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 740 | { | ||
| 741 | //NOTE: Nicolas : trick to ensure some elements of the matrix have particular value | ||
| 742 | ✗ | m_tmpMat.clear(); | |
| 743 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 744 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 745 | ✗ | tmpBlock = ( coef * fe.weightMeas(ig) ) * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 746 | } | ||
| 747 | |||
| 748 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 749 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 750 | ✗ | matrix += tmpBlock; | |
| 751 | } | ||
| 752 | } | ||
| 753 | |||
| 754 | /***********************************************************************************/ | ||
| 755 | /***********************************************************************************/ | ||
| 756 | |||
| 757 | 6 | void ElementMatrix::phi_i_phi_j_lumped(const double coef,const CurBaseFiniteElement& fe,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 758 | { | ||
| 759 |
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6 | m_tmpMat.clear(); |
| 760 |
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6 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 761 |
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40 | for(int i=0; i <fe.numDof(); ++i) { |
| 762 |
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34 | tmpBlock(i,i) += coef * fe.measure()/fe.numDof(); |
| 763 | } | ||
| 764 | |||
| 765 |
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22 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 766 |
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16 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 767 |
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16 | matrix += tmpBlock; |
| 768 | 16 | } | |
| 769 | 6 | } | |
| 770 | |||
| 771 | /***********************************************************************************/ | ||
| 772 | /***********************************************************************************/ | ||
| 773 | |||
| 774 | 193677 | void ElementMatrix::a_phi_i_phi_j(const double coef,const ElementField& scalfct,const CurBaseFiniteElement& fe,const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 775 | { | ||
| 776 |
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193677 | m_tmpMat.clear(); |
| 777 |
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193677 | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); |
| 778 | |||
| 779 |
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193677 | switch(scalfct.type()) { |
| 780 | ✗ | case CONSTANT_FIELD: | |
| 781 | // nothing to do : the constant field has been computed before the integration loop | ||
| 782 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 783 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,0); | |
| 784 | ✗ | break; | |
| 785 | 193677 | case DOF_FIELD: | |
| 786 |
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1355019 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 787 |
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1161342 | m_tmpVecCoor = prod(scalfct.val,fe.phi[ig]); |
| 788 |
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1161342 | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0); |
| 789 | } | ||
| 790 | 193677 | break; | |
| 791 | ✗ | case QUAD_POINT_FIELD: | |
| 792 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) | |
| 793 | ✗ | m_tmpVecQuadPoint(ig) = scalfct.val(0,ig); | |
| 794 | ✗ | break; | |
| 795 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 796 | // (that's truly the point of using enums as switch cases) | ||
| 797 | // default: | ||
| 798 | // FEL_ERROR("Operator 'a_phi_i_phi_j' not yet implemented with this type of element fields"); | ||
| 799 | } | ||
| 800 | |||
| 801 |
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1355019 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) |
| 802 |
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1161342 | tmpblock += coef * m_tmpVecQuadPoint(ig) * fe.weightMeas(ig) * outer_prod(fe.phi[ig], fe.phi[ig]); |
| 803 | |||
| 804 |
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774468 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 805 |
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580791 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 806 |
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580791 | matrix += tmpblock; |
| 807 | 580791 | } | |
| 808 | 193677 | } | |
| 809 | |||
| 810 | /***********************************************************************************/ | ||
| 811 | /***********************************************************************************/ | ||
| 812 | |||
| 813 | ✗ | void ElementMatrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n(const double coef,const std::vector<double>& normal, const CurvilinearFiniteElement& fe,const ElementField& disp, const ElementField& gap) | |
| 814 | { | ||
| 815 | ✗ | FEL_CHECK(disp.type() == DOF_FIELD,"ElementMatlrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong disp field type"); | |
| 816 | ✗ | FEL_CHECK(gap.type() == QUAD_POINT_FIELD,"ElementMatrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong gap field type"); | |
| 817 | double tmp; | ||
| 818 | ✗ | const double hK2inv = 1./(fe.diameter()*fe.diameter()); | |
| 819 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 820 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 821 | ✗ | UBlasMatrixRange matrix = matBlock(icoor,jcoor); | |
| 822 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 823 | ✗ | tmp = 0.; | |
| 824 | // disp at coor point | ||
| 825 | ✗ | for(int jcomp=0; jcomp<fe.numCoor(); jcomp++) | |
| 826 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) | |
| 827 | ✗ | tmp += fe.phi[ig](jdof)*disp.val(jcomp,jdof)*normal[jcomp]; | |
| 828 | // gap | ||
| 829 | ✗ | tmp -= gap.val(0,ig); | |
| 830 | // tmp contains f \cdot n at quand node ig | ||
| 831 | ✗ | if (0 <= tmp ) { | |
| 832 | ✗ | matrix += hK2inv*normal[icoor]*normal[jcoor]*( coef * fe.weightMeas(ig) ) * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 833 | // std::cout << " contact force acting on quadrature node " << ig << " of element " << fe.id() << std::endl; | ||
| 834 | } | ||
| 835 | } | ||
| 836 | } | ||
| 837 | } | ||
| 838 | } | ||
| 839 | |||
| 840 | /***********************************************************************************/ | ||
| 841 | /***********************************************************************************/ | ||
| 842 | |||
| 843 | 3840 | void ElementMatrix::penalty_phi_i_scalar_n_phi_j_scalar_n(const double coef, CurvilinearFiniteElement& fe, const ElementField& vel, std::size_t iblock, std::size_t jblock) { | |
| 844 |
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3840 | FEL_CHECK(vel.type() == DOF_FIELD,"ElementMatrix::penalty_phi_i_scalar_n_phi_j_scalar_n: wrong vel field type"); |
| 845 | double tmp; | ||
| 846 | 3840 | const double penalty = 1./coef; | |
| 847 |
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11520 | for(int icoor=0; icoor<fe.numCoor(); icoor++) { |
| 848 |
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23040 | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { |
| 849 |
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15360 | UBlasMatrixRange matrix = matBlock(icoor+iblock,jcoor+jblock); |
| 850 |
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61440 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 851 | 46080 | tmp = 0.; | |
| 852 |
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138240 | for(int jcomp=0; jcomp<fe.numCoor(); jcomp++) |
| 853 |
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276480 | for(int jdof=0; jdof<fe.numDof(); jdof++) |
| 854 |
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184320 | tmp -= fe.phi[ig](jdof)*vel.val(jcomp,jdof)*fe.normal[ig][jcomp];// compute u_dot_n |
| 855 |
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46080 | if ( tmp >= 0. ) { //Heaviside |
| 856 |
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12264 | matrix += penalty*fe.normal[ig][icoor]*fe.normal[ig][jcoor]*outer_prod(fe.phi[ig], fe.phi[ig])*fe.weightMeas(ig); |
| 857 | } | ||
| 858 | } | ||
| 859 | 15360 | } | |
| 860 | } | ||
| 861 | 3840 | } | |
| 862 | |||
| 863 | /***********************************************************************************/ | ||
| 864 | /***********************************************************************************/ | ||
| 865 | |||
| 866 | ✗ | void ElementMatrix::nitsche_contact_phi_i_scalar_n_phi_j_scalar_n(double gamma,const std::vector<double>& normal, const CurvilinearFiniteElement& fe,const ElementField& disp, const ElementField& gap, const ElementField& lambda) | |
| 867 | { | ||
| 868 | ✗ | FEL_CHECK(disp.type() == DOF_FIELD,"ElementMatlrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong disp field type"); | |
| 869 | ✗ | FEL_CHECK(gap.type() == QUAD_POINT_FIELD,"ElementMatrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong gap field type"); | |
| 870 | double tmp; | ||
| 871 | ✗ | const double penalty = gamma / (fe.diameter()*fe.diameter()); | |
| 872 | ✗ | const double penalty_inv = fe.diameter()*fe.diameter()/gamma; | |
| 873 | ✗ | int zblock = 2*fe.numCoor()-1; // 3 in 2d, and 5 in 3d | |
| 874 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 875 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 876 | ✗ | UBlasMatrixRange matrixUV = matBlock(icoor,jcoor); | |
| 877 | ✗ | UBlasMatrixRange matrixZV = matBlock(icoor,jcoor+zblock); | |
| 878 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 879 | ✗ | tmp = 0.; | |
| 880 | // disp.n + gamma + lambda.h at coor point | ||
| 881 | ✗ | for(int jcomp=0; jcomp<fe.numCoor(); jcomp++) | |
| 882 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) | |
| 883 | ✗ | tmp += fe.phi[ig](jdof)*(disp.val(jcomp,jdof)+penalty_inv*lambda.val(jcomp,jdof)) *normal[jcomp]; | |
| 884 | // gap a coor point | ||
| 885 | ✗ | tmp -= gap.val(0,ig); | |
| 886 | // tmp contains f \cdot n at quand node ig | ||
| 887 | ✗ | if (0 <= tmp ) { | |
| 888 | //std::cout << tmp<< std::endl; | ||
| 889 | ✗ | matrixUV += penalty*normal[icoor]*normal[jcoor] * outer_prod(fe.phi[ig], fe.phi[ig]) * fe.weightMeas(ig); | |
| 890 | ✗ | matrixZV += normal[icoor]*normal[jcoor] * outer_prod(fe.phi[ig], fe.phi[ig]) * fe.weightMeas(ig); | |
| 891 | } | ||
| 892 | } | ||
| 893 | } | ||
| 894 | } | ||
| 895 | } | ||
| 896 | |||
| 897 | /***********************************************************************************/ | ||
| 898 | /***********************************************************************************/ | ||
| 899 | |||
| 900 | ✗ | void ElementMatrix::nitsche_contact_phi_i_scalar_n_phi_j_scalar_n(double gamma, const CurvilinearFiniteElement& fe,const ElementField& disp, const ElementField& gap, const ElementField& normal, const ElementField& lambda) | |
| 901 | { | ||
| 902 | ✗ | FEL_CHECK(disp.type() == DOF_FIELD,"ElementMatlrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong disp field type"); | |
| 903 | ✗ | FEL_CHECK(gap.type() == QUAD_POINT_FIELD,"ElementMatrix::penalty_contact_phi_i_scalar_n_phi_j_scalar_n: wrong gap field type"); | |
| 904 | double tmp; | ||
| 905 | ✗ | const double penalty = gamma / (fe.diameter()*fe.diameter()); | |
| 906 | ✗ | const double penalty_inv = fe.diameter()*fe.diameter()/gamma; | |
| 907 | ✗ | int zblock = 2*fe.numCoor()-1; // 3 in 2d, and 5 in 3d | |
| 908 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 909 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 910 | ✗ | UBlasMatrixRange matrixUV = matBlock(icoor,jcoor); | |
| 911 | ✗ | UBlasMatrixRange matrixZV = matBlock(icoor,jcoor+zblock); | |
| 912 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 913 | ✗ | tmp = 0.; | |
| 914 | // disp.n + gamma + lambda.h at coor point | ||
| 915 | ✗ | for(int jcomp=0; jcomp<fe.numCoor(); jcomp++) | |
| 916 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) | |
| 917 | ✗ | tmp += fe.phi[ig](jdof)*(disp.val(jcomp,jdof)+penalty_inv*lambda.val(jcomp,jdof)) *normal.val(jcomp,ig); | |
| 918 | // gap a coor point | ||
| 919 | ✗ | tmp -= gap.val(0,ig); | |
| 920 | // tmp contains f \cdot n at quand node ig | ||
| 921 | ✗ | if (0 <= tmp ) { | |
| 922 | //std::cout << tmp<< std::endl; | ||
| 923 | ✗ | matrixUV += penalty*normal.val(icoor,ig)*normal.val(jcoor,ig) * outer_prod(fe.phi[ig], fe.phi[ig]) * fe.weightMeas(ig); | |
| 924 | ✗ | matrixZV += normal.val(icoor,ig)*normal.val(jcoor,ig) * outer_prod(fe.phi[ig], fe.phi[ig]) * fe.weightMeas(ig); | |
| 925 | } | ||
| 926 | } | ||
| 927 | } | ||
| 928 | } | ||
| 929 | } | ||
| 930 | |||
| 931 | /***********************************************************************************/ | ||
| 932 | /***********************************************************************************/ | ||
| 933 | |||
| 934 | ✗ | void ElementMatrix::phi_i_psi_j_scalar_n(const double coef,const CurvilinearFiniteElement& fe1, const CurvilinearFiniteElement& fe2, const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 935 | { | ||
| 936 | ✗ | FEL_CHECK(fe1.numQuadraturePoint() == fe2.numQuadraturePoint(),"ElementMatrix::phi_i_psi_j_scalar_n: The quadrature rules must be the same for the two elements"); | |
| 937 | ✗ | for(int ig=0; ig<fe1.numQuadraturePoint(); ig++) { | |
| 938 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 939 | ✗ | UBlasMatrixRange mat_block = matBlock(iblock,jblock+icoor); | |
| 940 | ✗ | mat_block += (coef * fe1.weightMeas(ig) * fe1.normal[ig][icoor]) * outer_prod(fe2.phi[ig],fe1.phi[ig]); | |
| 941 | } | ||
| 942 | } | ||
| 943 | } | ||
| 944 | |||
| 945 | /***********************************************************************************/ | ||
| 946 | /***********************************************************************************/ | ||
| 947 | |||
| 948 | 6981268 | void ElementMatrix::psi_j_div_phi_i_and_psi_i_div_phi_j (const CurrentFiniteElement& fe1,const CurrentFiniteElement& fe2,const std::size_t iblock, const std::size_t jblock,const double coef1,const double coef2) | |
| 949 | { | ||
| 950 | 6981268 | m_tmpMat.clear(); | |
| 951 |
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27729758 | for(int icoor=0; icoor<fe1.numCoor(); icoor++) { |
| 952 |
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20748490 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock); |
| 953 |
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107976602 | for(int ig=0; ig<fe1.numQuadraturePoint(); ig++) { |
| 954 |
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437893448 | for(int idof=0; idof<fe1.numDof(); idof++) { |
| 955 |
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1749911864 | for(int jdof=0; jdof<fe2.numDof(); jdof++) { |
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1399246528 | tmpBlock(idof,jdof) += fe1.weightMeas(ig) * fe1.dPhi[ig](icoor,idof) * fe2.phi[ig](jdof); |
| 957 | } | ||
| 958 | } | ||
| 959 | } | ||
| 960 | 20748490 | } | |
| 961 | |||
| 962 |
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27729758 | for(int icoor=0; icoor<fe1.numCoor(); icoor++) { |
| 963 |
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20748490 | UBlasMatrixRange tmp = getMatBlock(m_tmpMat,iblock+icoor,jblock); |
| 964 |
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20748490 | UBlasMatrixRange mat1 = matBlock(iblock+icoor,jblock); |
| 965 |
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20748490 | UBlasMatrixRange mat2 = matBlock(jblock,iblock+icoor); |
| 966 |
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20748490 | mat1 += coef1 * tmp; |
| 967 |
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20748490 | mat2 += coef2 * trans(tmp); |
| 968 | 20748490 | } | |
| 969 | 6981268 | } | |
| 970 | |||
| 971 | /***********************************************************************************/ | ||
| 972 | /***********************************************************************************/ | ||
| 973 | |||
| 974 | 2662 | void ElementMatrix::psi_j_div_phi_i(const double coef, const CurrentFiniteElement& fei,const CurrentFiniteElement& fej,const std::size_t iblock, const std::size_t jblock) | |
| 975 | { | ||
| 976 | 2662 | m_tmpMat.clear(); | |
| 977 |
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7986 | for(int icoor=0; icoor<fei.numCoor(); icoor++) { |
| 978 |
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5324 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock); |
| 979 |
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22748 | for(int ig=0; ig<fei.numQuadraturePoint(); ig++) { |
| 980 |
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69696 | for(int idof=0; idof<fei.numDof(); idof++) { |
| 981 |
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209088 | for(int jdof=0; jdof<fej.numDof(); jdof++) { |
| 982 |
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156816 | tmpBlock(idof,jdof) += coef*fei.weightMeas(ig) * fei.dPhi[ig](icoor,idof) * fej.phi[ig](jdof); |
| 983 | } | ||
| 984 | } | ||
| 985 | } | ||
| 986 |
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5324 | UBlasMatrixRange block = matBlock(iblock+icoor,jblock); |
| 987 |
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5324 | block+=tmpBlock; |
| 988 | 5324 | } | |
| 989 | 2662 | } | |
| 990 | |||
| 991 | /***********************************************************************************/ | ||
| 992 | /***********************************************************************************/ | ||
| 993 | |||
| 994 | ✗ | void ElementMatrix::phi_j_grad_psi_i(const double coef, const CurrentFiniteElement& fei,const CurrentFiniteElement& fej,const std::size_t iblock, const std::size_t jblock) | |
| 995 | { | ||
| 996 | ✗ | m_tmpMat.clear(); | |
| 997 | ✗ | for(int icoor=0; icoor<fej.numCoor(); icoor++) { | |
| 998 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock,jblock+icoor); | |
| 999 | ✗ | for(int ig=0; ig<fei.numQuadraturePoint(); ig++) { | |
| 1000 | ✗ | for(int idof=0; idof<fei.numDof(); idof++) { | |
| 1001 | ✗ | for(int jdof=0; jdof<fej.numDof(); jdof++) { | |
| 1002 | ✗ | tmpBlock(idof,jdof) += coef*fei.weightMeas(ig) * fej.phi[ig](jdof) * fei.dPhi[ig](icoor,idof); | |
| 1003 | } | ||
| 1004 | } | ||
| 1005 | } | ||
| 1006 | ✗ | UBlasMatrixRange block = matBlock(iblock,jblock+icoor); | |
| 1007 | ✗ | block+=tmpBlock; | |
| 1008 | } | ||
| 1009 | } | ||
| 1010 | |||
| 1011 | /***********************************************************************************/ | ||
| 1012 | /***********************************************************************************/ | ||
| 1013 | |||
| 1014 | ✗ | void ElementMatrix::phi_i_grad_psi_j(const double coef, const CurrentFiniteElement& fei,const CurrentFiniteElement& fej,const std::size_t iblock, const std::size_t jblock) | |
| 1015 | { | ||
| 1016 | ✗ | m_tmpMat.clear(); | |
| 1017 | ✗ | for(int icoor=0; icoor<fei.numCoor(); icoor++) { | |
| 1018 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock); | |
| 1019 | ✗ | for(int ig=0; ig<fei.numQuadraturePoint(); ig++) { | |
| 1020 | ✗ | for(int idof=0; idof<fei.numDof(); idof++) { | |
| 1021 | ✗ | for(int jdof=0; jdof<fej.numDof(); jdof++) { | |
| 1022 | ✗ | tmpBlock(idof,jdof) += coef*fei.weightMeas(ig) * fei.phi[ig](idof) * fej.dPhi[ig](icoor,jdof); | |
| 1023 | } | ||
| 1024 | } | ||
| 1025 | } | ||
| 1026 | ✗ | UBlasMatrixRange block = matBlock(iblock+icoor,jblock); | |
| 1027 | ✗ | block+=tmpBlock; | |
| 1028 | } | ||
| 1029 | } | ||
| 1030 | |||
| 1031 | /***********************************************************************************/ | ||
| 1032 | /***********************************************************************************/ | ||
| 1033 | |||
| 1034 | 2662 | void ElementMatrix::psi_i_div_phi_j(const double coef, const CurrentFiniteElement& fej,const CurrentFiniteElement& fei,const std::size_t iblock, const std::size_t jblock) | |
| 1035 | { | ||
| 1036 | 2662 | m_tmpMat.clear(); | |
| 1037 |
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7986 | for(int jcoor=0; jcoor<fej.numCoor(); jcoor++) { |
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5324 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock,jblock+jcoor); |
| 1039 |
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22748 | for(int ig=0; ig<fej.numQuadraturePoint(); ig++) { |
| 1040 |
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69696 | for(int jdof=0; jdof<fej.numDof(); jdof++) { |
| 1041 |
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209088 | for(int idof=0; idof<fei.numDof(); idof++) { |
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156816 | tmpBlock(idof,jdof) += coef*fej.weightMeas(ig) * fej.dPhi[ig](jcoor,jdof) * fei.phi[ig](idof); |
| 1043 | } | ||
| 1044 | } | ||
| 1045 | } | ||
| 1046 |
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5324 | UBlasMatrixRange block = matBlock(iblock,jblock+jcoor); |
| 1047 |
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5324 | block+=tmpBlock; |
| 1048 | 5324 | } | |
| 1049 | 2662 | } | |
| 1050 | |||
| 1051 | /***********************************************************************************/ | ||
| 1052 | /***********************************************************************************/ | ||
| 1053 | |||
| 1054 | 8987078 | void ElementMatrix::u_grad_phi_j_phi_i(const double coef,const ElementField& vel,const CurrentFiniteElement& fe,const std::size_t iblock, const std::size_t jblock, const std::size_t num, bool transpose) | |
| 1055 | { | ||
| 1056 |
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8987078 | m_tmpMat.clear(); |
| 1057 |
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8987078 | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); |
| 1058 |
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48016782 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1059 |
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39029704 | switch(vel.type()) { |
| 1060 | ✗ | case CONSTANT_FIELD: | |
| 1061 | // nothing to do : the constant field has been computed before the integration loop | ||
| 1062 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 1063 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,0); | |
| 1064 | ✗ | break; | |
| 1065 | 39029704 | case DOF_FIELD: { | |
| 1066 |
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39029704 | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); |
| 1067 | 39029704 | break; | |
| 1068 | } | ||
| 1069 | ✗ | case QUAD_POINT_FIELD: { | |
| 1070 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 1071 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,ig); | |
| 1072 | ✗ | break; | |
| 1073 | } | ||
| 1074 | // Default case should appear with a warning at compile time instead of an error in runtime | ||
| 1075 | // (that's truly the point of using enums as switch cases) | ||
| 1076 | // default: | ||
| 1077 | // FEL_ERROR("Operator 'u_grad_phi_j_phi_i' not yet implemented with this type of element fields"); | ||
| 1078 | } | ||
| 1079 |
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39029704 | m_tmpVecDof = prod(trans(fe.dPhi[ig]),m_tmpVecCoor); // m_tmpVecDof = vel \cdot \nabla \phi_i |
| 1080 |
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206346416 | for(int idof=0; idof<fe.numDof(); idof++) { |
| 1081 |
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971367848 | for(int jdof=0; jdof<fe.numDof(); jdof++) { |
| 1082 |
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804051136 | tmpblock(idof,jdof) += coef * fe.weightMeas(ig) * m_tmpVecDof(jdof) * fe.phi[ig](idof); |
| 1083 | } | ||
| 1084 | } | ||
| 1085 | } | ||
| 1086 | |||
| 1087 |
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8987078 | if ( transpose == false ) |
| 1088 |
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35180744 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 1089 |
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26193666 | UBlasMatrixRange block = matBlock(iblock+icoor,jblock+icoor); |
| 1090 |
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26193666 | block += tmpblock; |
| 1091 | 26193666 | } | |
| 1092 | else { | ||
| 1093 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1094 | ✗ | UBlasMatrixRange block = matBlock(iblock+icoor,jblock+icoor); | |
| 1095 | ✗ | block += trans(tmpblock); | |
| 1096 | } | ||
| 1097 | } | ||
| 1098 | 8987078 | } | |
| 1099 | |||
| 1100 | /***********************************************************************************/ | ||
| 1101 | /***********************************************************************************/ | ||
| 1102 | |||
| 1103 | ✗ | void ElementMatrix::u_grad_phi_i_grad_psi_j(const double coef,const ElementField& vel,const CurrentFiniteElement& fe1, const CurrentFiniteElement& fe2, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1104 | { | ||
| 1105 | ✗ | m_tmpMat.clear(); | |
| 1106 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat,jblock, iblock); | |
| 1107 | ✗ | for(int ig=0; ig<fe1.numQuadraturePoint(); ig++) { | |
| 1108 | ✗ | switch(vel.type()) { | |
| 1109 | ✗ | case CONSTANT_FIELD: | |
| 1110 | // nothing to do : the constant field has been computed before the integration loop | ||
| 1111 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 1112 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,0); | |
| 1113 | ✗ | break; | |
| 1114 | ✗ | case DOF_FIELD: { | |
| 1115 | ✗ | m_tmpVecCoor = prod(vel.val,fe1.phi[ig]); | |
| 1116 | ✗ | break; | |
| 1117 | } | ||
| 1118 | ✗ | case QUAD_POINT_FIELD: { | |
| 1119 | ✗ | for(int icoor=0; icoor<vel.numComp(); icoor++) | |
| 1120 | ✗ | m_tmpVecCoor(icoor) = vel.val(icoor,ig); | |
| 1121 | ✗ | break; | |
| 1122 | } | ||
| 1123 | } | ||
| 1124 | ✗ | m_tmpVecDof = prod(trans(fe1.dPhi[ig]),m_tmpVecCoor); // m_tmpVecDof = vel \cdot \nabla \phi_i | |
| 1125 | ✗ | for(int icoor=0; icoor<fe1.numCoor(); icoor++) { | |
| 1126 | ✗ | for(int idof=0; idof<fe2.numDof(); idof++) { | |
| 1127 | ✗ | for(int jdof=0; jdof<fe1.numDof(); jdof++) { | |
| 1128 | ✗ | tmpblock(jdof, idof) += coef * fe1.weightMeas(ig) * m_tmpVecDof(jdof) * fe2.dPhi[ig](icoor,idof); | |
| 1129 | } | ||
| 1130 | } | ||
| 1131 | } | ||
| 1132 | |||
| 1133 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1134 | ✗ | UBlasMatrixRange block = matBlock(jblock, iblock+icoor); | |
| 1135 | ✗ | block += tmpblock; | |
| 1136 | } | ||
| 1137 | } | ||
| 1138 | } | ||
| 1139 | |||
| 1140 | /***********************************************************************************/ | ||
| 1141 | /***********************************************************************************/ | ||
| 1142 | |||
| 1143 | ✗ | void ElementMatrix::phi_grad_u(const double coef, const ElementField& vel, const CurrentFiniteElement& fe, | |
| 1144 | const std::size_t iblock, const std::size_t jblock, const std::size_t num) | ||
| 1145 | { | ||
| 1146 | ✗ | m_tmpMat.clear(); | |
| 1147 | double grad; | ||
| 1148 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1149 | |||
| 1150 | ✗ | for( std::size_t icoor = 0; icoor<num; icoor++) { | |
| 1151 | ✗ | for( std::size_t jcoor = 0; jcoor<num; jcoor++) { | |
| 1152 | |||
| 1153 | ✗ | for(int idof = 0; idof < fe.numDof(); idof++) { | |
| 1154 | ✗ | for(int jdof = 0; jdof < fe.numDof(); jdof++) { | |
| 1155 | ✗ | tmpblock(idof, jdof) = 0.; | |
| 1156 | } | ||
| 1157 | } | ||
| 1158 | |||
| 1159 | ✗ | for(int ig = 0; ig < fe.numQuadraturePoint(); ig++) { | |
| 1160 | ✗ | grad = 0.; | |
| 1161 | ✗ | for(int idof = 0; idof<fe.numDof(); idof++) { | |
| 1162 | ✗ | grad += vel.val(icoor, idof) * fe.dPhi[ig](jcoor, idof); | |
| 1163 | } | ||
| 1164 | ✗ | tmpblock += coef * fe.weightMeas(ig) * grad * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 1165 | } | ||
| 1166 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor, jblock+jcoor); | |
| 1167 | ✗ | matrix += tmpblock; | |
| 1168 | } | ||
| 1169 | } | ||
| 1170 | } | ||
| 1171 | |||
| 1172 | /***********************************************************************************/ | ||
| 1173 | /***********************************************************************************/ | ||
| 1174 | |||
| 1175 | //---------------------------------------------------------------------- | ||
| 1176 | // operator \int_{Sigma} u^{n+1} Grad u^{n} \dot v - v Grad u^{n} \dot u^{n+1} : | ||
| 1177 | // NS total pressure formulation | ||
| 1178 | ✗ | void ElementMatrix::phi_grad_u_minus_grad_u_phi(const double coef, const ElementField& vel, | |
| 1179 | const CurrentFiniteElement& fe, const std::size_t iblock, | ||
| 1180 | const std::size_t jblock, const std::size_t num) | ||
| 1181 | { | ||
| 1182 | ✗ | m_tmpMat.clear(); | |
| 1183 | double grad; | ||
| 1184 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1185 | |||
| 1186 | ✗ | for( std::size_t icoor = 0; icoor<num; icoor++) { | |
| 1187 | ✗ | for( std::size_t jcoor = 0; jcoor<num; jcoor++) { | |
| 1188 | |||
| 1189 | ✗ | if (icoor!=jcoor) { | |
| 1190 | |||
| 1191 | ✗ | for(int idof = 0; idof < fe.numDof(); idof++) { | |
| 1192 | ✗ | for(int jdof = 0; jdof < fe.numDof(); jdof++) { | |
| 1193 | ✗ | tmpblock(idof, jdof) = 0.; | |
| 1194 | } | ||
| 1195 | } | ||
| 1196 | |||
| 1197 | ✗ | for(int ig = 0; ig < fe.numQuadraturePoint(); ig++) { | |
| 1198 | ✗ | grad = 0.; | |
| 1199 | ✗ | for(int idof = 0; idof<fe.numDof(); idof++) { | |
| 1200 | ✗ | grad += vel.val(icoor, idof) * fe.dPhi[ig](jcoor, idof) - vel.val(jcoor, idof) * fe.dPhi[ig](icoor, idof); | |
| 1201 | } | ||
| 1202 | ✗ | tmpblock += coef * fe.weightMeas(ig) * grad * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 1203 | } | ||
| 1204 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor, jblock+jcoor); | |
| 1205 | ✗ | matrix += tmpblock; | |
| 1206 | } | ||
| 1207 | } | ||
| 1208 | } | ||
| 1209 | } | ||
| 1210 | |||
| 1211 | /***********************************************************************************/ | ||
| 1212 | /***********************************************************************************/ | ||
| 1213 | |||
| 1214 | 15517188 | void ElementMatrix::div_u_phi_j_phi_i(const double coef, const ElementField& vel, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1215 | { | ||
| 1216 |
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|
15517188 | m_tmpMat.clear(); |
| 1217 |
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|
15517188 | std::vector<double> v(fe.numCoor()); |
| 1218 | |||
| 1219 |
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|
15517188 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 1220 | |||
| 1221 |
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|
80631332 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1222 |
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|
257026672 | for (int icoor=0; icoor<fe.numCoor(); icoor++) { |
| 1223 | 191912528 | v[icoor] = 0; | |
| 1224 |
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|
996198232 | for (int jdof=0; jdof<fe.numDof(); jdof++) { |
| 1225 |
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|
804285704 | v[icoor] += vel.val(icoor,jdof) * fe.dPhi[ig](icoor,jdof); |
| 1226 | } | ||
| 1227 | } | ||
| 1228 | |||
| 1229 | 65114144 | double div=0.0; | |
| 1230 |
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|
257026672 | for(int i=0; i<fe.numCoor(); i++) { |
| 1231 | 191912528 | div += v[i]; | |
| 1232 | } | ||
| 1233 | |||
| 1234 |
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|
65114144 | tmpBlock += coef * fe.weightMeas(ig) * div * outer_prod(fe.phi[ig], fe.phi[ig]); |
| 1235 | } | ||
| 1236 | |||
| 1237 |
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61257184 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 1238 |
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|
45739996 | UBlasMatrixRange mat = matBlock(iblock+icoor,jblock+icoor); |
| 1239 |
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|
45739996 | mat += tmpBlock; |
| 1240 | 45739996 | } | |
| 1241 | 15517188 | } | |
| 1242 | |||
| 1243 | /***********************************************************************************/ | ||
| 1244 | /***********************************************************************************/ | ||
| 1245 | |||
| 1246 | ✗ | void ElementMatrix::convective_rot(const double coef, const ElementField& vel, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1247 | { | ||
| 1248 | IGNORE_UNUSED_ARGUMENT(num); | ||
| 1249 | ✗ | m_tmpMat.clear(); | |
| 1250 | ✗ | std::vector<double> v(fe.numCoor()); | |
| 1251 | |||
| 1252 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1253 | |||
| 1254 | // \int_{\Omega} coef rot(u^{n+1} x u^n \cdot v | ||
| 1255 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 1256 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 1257 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 1258 | ✗ | for (int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 1259 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 1260 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 1261 | ✗ | tmpBlock(idof,jdof) -= coef * fe.weightMeas(ig) * fe.dPhi[ig](icoor,jdof) * vel.val(jcoor,ig) * fe.phi[ig](idof); | |
| 1262 | } | ||
| 1263 | } | ||
| 1264 | } | ||
| 1265 | ✗ | UBlasMatrixRange mat = matBlock(iblock+icoor,jblock+jcoor); | |
| 1266 | ✗ | mat += tmpBlock; | |
| 1267 | } | ||
| 1268 | } | ||
| 1269 | |||
| 1270 | // \int_{\Omega} coef/2 u^{n+1} \cdot u^n) div(v) | ||
| 1271 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 1272 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 1273 | ✗ | for(int idof=0; idof<fe.numDof(); idof++) { | |
| 1274 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 1275 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 1276 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 1277 | ✗ | tmpBlock(idof,jdof) -= coef * fe.weightMeas(ig) * 0.5 * fe.dPhi[ig](icoor,idof) * vel.val(jcoor,ig) * fe.phi[ig](jdof); | |
| 1278 | } | ||
| 1279 | } | ||
| 1280 | } | ||
| 1281 | ✗ | UBlasMatrixRange mat = matBlock(iblock+icoor,jblock+jcoor); | |
| 1282 | ✗ | mat += tmpBlock; | |
| 1283 | } | ||
| 1284 | } | ||
| 1285 | |||
| 1286 | ✗ | for (int idof=0; idof<fe.numDof(); idof++) { | |
| 1287 | ✗ | for (int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 1288 | ✗ | tmpBlock(idof,jdof) = 0.; | |
| 1289 | ✗ | for(int jcoor=0; jcoor<fe.numCoor(); jcoor++) { | |
| 1290 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 1291 | ✗ | tmpBlock(idof,jdof) += coef * fe.weightMeas(ig) * fe.dPhi[ig](jcoor,jdof) * vel.val(jcoor,ig) * fe.phi[ig](idof); | |
| 1292 | } | ||
| 1293 | } | ||
| 1294 | } | ||
| 1295 | } | ||
| 1296 | |||
| 1297 | ✗ | for(int icoor=0; icoor<fe.numCoor(); icoor++) { | |
| 1298 | ✗ | UBlasMatrixRange mat = matBlock(iblock+icoor,jblock+icoor); | |
| 1299 | ✗ | mat += tmpBlock; | |
| 1300 | } | ||
| 1301 | } | ||
| 1302 | |||
| 1303 | /***********************************************************************************/ | ||
| 1304 | /***********************************************************************************/ | ||
| 1305 | |||
| 1306 | ✗ | void ElementMatrix::grad_phi_i_dot_vec_phi_j(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1307 | { | ||
| 1308 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "grad_phi_i_dot_vec_phi_j is not implemented for this type of vec"); | |
| 1309 | |||
| 1310 | ✗ | m_tmpMat.clear(); | |
| 1311 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1312 | |||
| 1313 | ✗ | for(felInt idof=0; idof<fe.numDof(); ++idof) | |
| 1314 | ✗ | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) | |
| 1315 | ✗ | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) | |
| 1316 | ✗ | for(felInt icoor=0; icoor<fe.numRefCoor(); ++icoor) | |
| 1317 | ✗ | tmpblock(idof, jdof) += coef * fe.dPhi[ig](icoor, idof) * vec.val(icoor, 0) * fe.phi[ig](jdof) * fe.weightMeas(ig); | |
| 1318 | |||
| 1319 | |||
| 1320 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1321 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 1322 | ✗ | matrix += tmpblock; | |
| 1323 | } | ||
| 1324 | } | ||
| 1325 | |||
| 1326 | /***********************************************************************************/ | ||
| 1327 | /***********************************************************************************/ | ||
| 1328 | |||
| 1329 | 4432 | void ElementMatrix::eps_phi_i_dot_vec_phi_j(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1330 | { | ||
| 1331 |
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4432 | FEL_CHECK(vec.type() == CONSTANT_FIELD, "eps_phi_i_dot_vec_phi_j is not implemented for this type of vec"); |
| 1332 | |||
| 1333 |
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13296 | for(std::size_t icoor=0; icoor<num; ++icoor) { |
| 1334 |
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26592 | for(std::size_t jcoor=0; jcoor<num; ++jcoor) { |
| 1335 |
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17728 | m_tmpMat.clear(); |
| 1336 |
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17728 | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); |
| 1337 | |||
| 1338 |
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17728 | if(icoor == jcoor) { |
| 1339 |
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35456 | for(felInt idof=0; idof<fe.numDof(); ++idof) |
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319104 | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) |
| 1342 |
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717984 | for(felInt kcoor=0; kcoor<fe.numRefCoor(); ++kcoor) |
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478656 | tmpblock(idof, jdof) += 0.5 * coef * fe.dPhi[ig](kcoor, idof) * vec.val(kcoor, 0) * fe.phi[ig](jdof) * fe.weightMeas(ig); |
| 1344 | } | ||
| 1345 | |||
| 1346 |
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| 1347 |
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638208 | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) |
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478656 | tmpblock(idof, jdof) += 0.5 * coef * fe.dPhi[ig](jcoor, idof) * vec.val(icoor, 0) * fe.phi[ig](jdof) * fe.weightMeas(ig); |
| 1350 | |||
| 1351 |
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17728 | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); |
| 1352 |
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|
17728 | matrix += tmpblock; |
| 1353 | 17728 | } | |
| 1354 | } | ||
| 1355 | 4432 | } | |
| 1356 | |||
| 1357 | /***********************************************************************************/ | ||
| 1358 | /***********************************************************************************/ | ||
| 1359 | |||
| 1360 | ✗ | void ElementMatrix::phi_i_grad_phi_j_dot_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1361 | { | ||
| 1362 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "phi_i_grad_phi_j_dot_vec is not implemented for this type of vec"); | |
| 1363 | |||
| 1364 | ✗ | m_tmpMat.clear(); | |
| 1365 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1366 | |||
| 1367 | ✗ | for(felInt idof=0; idof<fe.numDof(); ++idof) | |
| 1368 | ✗ | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) | |
| 1369 | ✗ | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) | |
| 1370 | ✗ | for(felInt icoor=0; icoor<fe.numRefCoor(); ++icoor) | |
| 1371 | ✗ | tmpblock(idof, jdof) += coef * fe.dPhi[ig](icoor, jdof) * vec.val(icoor, 0) * fe.phi[ig](idof) * fe.weightMeas(ig); | |
| 1372 | |||
| 1373 | |||
| 1374 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1375 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 1376 | ✗ | matrix += tmpblock; | |
| 1377 | } | ||
| 1378 | } | ||
| 1379 | |||
| 1380 | /***********************************************************************************/ | ||
| 1381 | /***********************************************************************************/ | ||
| 1382 | |||
| 1383 | 320 | void ElementMatrix::phi_i_eps_phi_j_dot_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1384 | { | ||
| 1385 |
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320 | FEL_CHECK(vec.type() == CONSTANT_FIELD, "eps_phi_i_dot_vec_phi_j is not implemented for this type of vec"); |
| 1386 |
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960 | for(std::size_t icoor=0; icoor<num; ++icoor) { |
| 1387 |
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1920 | for(std::size_t jcoor=0; jcoor<num; ++jcoor) { |
| 1388 |
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1280 | m_tmpMat.clear(); |
| 1389 |
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1280 | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); |
| 1390 | |||
| 1391 |
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1280 | if(icoor == jcoor) { |
| 1392 |
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2560 | for(felInt idof=0; idof<fe.numDof(); ++idof) |
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23040 | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) |
| 1395 |
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51840 | for(felInt kcoor=0; kcoor<fe.numRefCoor(); ++kcoor) |
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34560 | tmpblock(idof, jdof) += 0.5 * coef * fe.dPhi[ig](kcoor, jdof) * vec.val(kcoor, 0) * fe.phi[ig](idof) * fe.weightMeas(ig); |
| 1397 | } | ||
| 1398 | |||
| 1399 |
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5120 | for(felInt idof=0; idof<fe.numDof(); ++idof) |
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34560 | tmpblock(idof, jdof) += 0.5 * coef * fe.dPhi[ig](icoor, jdof) * vec.val(jcoor, 0) * fe.phi[ig](idof) * fe.weightMeas(ig); |
| 1403 | |||
| 1404 |
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1280 | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); |
| 1405 |
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|
1280 | matrix += tmpblock; |
| 1406 | 1280 | } | |
| 1407 | } | ||
| 1408 | 320 | } | |
| 1409 | |||
| 1410 | /***********************************************************************************/ | ||
| 1411 | /***********************************************************************************/ | ||
| 1412 | |||
| 1413 | ✗ | void ElementMatrix::eps_phi_j_vec_dot_eps_phi_i_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1414 | { | ||
| 1415 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "ElementMatrix::eps_phi_j_vec_dot_eps_phi_i_vec is not implemented for non constant vec"); | |
| 1416 | |||
| 1417 | double tmpvali, tmpvalj; | ||
| 1418 | double deri, derj; | ||
| 1419 | |||
| 1420 | ✗ | for(std::size_t icoor=0; icoor<num; ++icoor) { | |
| 1421 | ✗ | for(std::size_t jcoor=0; jcoor<num; ++jcoor) { | |
| 1422 | ✗ | m_tmpMat.clear(); | |
| 1423 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1424 | |||
| 1425 | ✗ | if(icoor == jcoor) { | |
| 1426 | ✗ | for(felInt idof=0; idof<fe.numDof(); ++idof) { | |
| 1427 | ✗ | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) { | |
| 1428 | ✗ | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) { | |
| 1429 | ✗ | tmpvali = 0.; | |
| 1430 | ✗ | tmpvalj = 0.; | |
| 1431 | |||
| 1432 | ✗ | for(felInt kcoor=0; kcoor<fe.numRefCoor(); ++kcoor) { | |
| 1433 | ✗ | tmpvali += fe.dPhi[ig](kcoor, idof) * vec.val(kcoor, 0); | |
| 1434 | ✗ | tmpvalj += fe.dPhi[ig](kcoor, jdof) * vec.val(kcoor, 0); | |
| 1435 | } | ||
| 1436 | |||
| 1437 | ✗ | tmpblock(idof, jdof) += 0.25 * coef * tmpvali * tmpvalj * fe.weightMeas(ig); | |
| 1438 | } | ||
| 1439 | } | ||
| 1440 | } | ||
| 1441 | } | ||
| 1442 | |||
| 1443 | ✗ | for(felInt idof=0; idof<fe.numDof(); ++idof) { | |
| 1444 | ✗ | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) { | |
| 1445 | ✗ | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) { | |
| 1446 | ✗ | tmpvali = 0.; deri = 0.; | |
| 1447 | ✗ | tmpvalj = 0.; derj = 0.; | |
| 1448 | |||
| 1449 | ✗ | for(felInt kcoor=0; kcoor<fe.numRefCoor(); ++kcoor) { | |
| 1450 | ✗ | tmpvali += fe.dPhi[ig](kcoor, idof) * vec.val(kcoor, 0); | |
| 1451 | ✗ | tmpvalj += fe.dPhi[ig](kcoor, jdof) * vec.val(kcoor, 0); | |
| 1452 | ✗ | deri += fe.dPhi[ig](kcoor, idof) * vec.val(icoor, 0); | |
| 1453 | ✗ | derj += fe.dPhi[ig](kcoor, jdof) * vec.val(jcoor, 0); | |
| 1454 | } | ||
| 1455 | |||
| 1456 | ✗ | tmpblock(idof, jdof) += 0.25 * coef * fe.dPhi[ig](icoor, jdof) * vec.val(jcoor, 0) * tmpvali * fe.weightMeas(ig); | |
| 1457 | ✗ | tmpblock(idof, jdof) += 0.25 * coef * fe.dPhi[ig](jcoor, idof) * vec.val(icoor, 0) * tmpvalj * fe.weightMeas(ig); | |
| 1458 | ✗ | tmpblock(idof, jdof) += 0.25 * coef * deri * derj * fe.weightMeas(ig); | |
| 1459 | } | ||
| 1460 | } | ||
| 1461 | } | ||
| 1462 | |||
| 1463 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); | |
| 1464 | ✗ | matrix += tmpblock; | |
| 1465 | } | ||
| 1466 | } | ||
| 1467 | } | ||
| 1468 | |||
| 1469 | /***********************************************************************************/ | ||
| 1470 | /***********************************************************************************/ | ||
| 1471 | |||
| 1472 | ✗ | void ElementMatrix::grad_phi_j_vec_dot_grad_phi_i_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 1473 | { | ||
| 1474 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "ElementMatrix::eps_phi_j_vec_dot_eps_phi_i_vec is not implemented for non constant vec"); | |
| 1475 | |||
| 1476 | double tmpvali, tmpvalj; | ||
| 1477 | |||
| 1478 | ✗ | m_tmpMat.clear(); | |
| 1479 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1480 | |||
| 1481 | ✗ | for(felInt idof=0; idof<fe.numDof(); ++idof) { | |
| 1482 | ✗ | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) { | |
| 1483 | ✗ | for(felInt ig=0; ig<fe.numQuadraturePoint(); ++ig) { | |
| 1484 | ✗ | tmpvali = 0.; | |
| 1485 | ✗ | tmpvalj = 0.; | |
| 1486 | |||
| 1487 | ✗ | for(felInt kcoor=0; kcoor<fe.numRefCoor(); ++kcoor) { | |
| 1488 | ✗ | tmpvali += fe.dPhi[ig](kcoor, idof) * vec.val(kcoor, 0); | |
| 1489 | ✗ | tmpvalj += fe.dPhi[ig](kcoor, jdof) * vec.val(kcoor, 0); | |
| 1490 | } | ||
| 1491 | |||
| 1492 | ✗ | tmpblock(idof, jdof) += coef * tmpvali * tmpvalj * fe.weightMeas(ig); | |
| 1493 | } | ||
| 1494 | } | ||
| 1495 | } | ||
| 1496 | |||
| 1497 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1498 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 1499 | ✗ | matrix += tmpblock; | |
| 1500 | } | ||
| 1501 | } | ||
| 1502 | |||
| 1503 | /***********************************************************************************/ | ||
| 1504 | /***********************************************************************************/ | ||
| 1505 | |||
| 1506 | ✗ | void ElementMatrix::grad_phi_i_dot_n_psi_j(const CurrentFiniteElementWithBd& fewbd1, | |
| 1507 | const CurrentFiniteElementWithBd& fewbd2, | ||
| 1508 | int iblockBd, int numblockBd, | ||
| 1509 | const std::size_t iblock, const std::size_t jblock,const std::size_t num, | ||
| 1510 | const double coef1,const double coef2) | ||
| 1511 | { | ||
| 1512 | ✗ | FEL_ASSERT(iblockBd>=0 && iblockBd<fewbd1.numBdEle() && (numblockBd-iblockBd) <= fewbd1.numBdEle() ); | |
| 1513 | ✗ | m_tmpMat.clear(); | |
| 1514 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1515 | ✗ | for (int ibd=iblockBd; ibd<iblockBd+numblockBd; ibd++) { | |
| 1516 | ✗ | FEL_ASSERT( fewbd1.bdEle(ibd).hasNormal() && fewbd1.hasFirstDeriv() ); | |
| 1517 | ✗ | for(int ilocg=0; ilocg<fewbd1.numQuadPointBdEle(ibd); ilocg++) { | |
| 1518 | ✗ | const int ig = ilocg+fewbd1.indexQuadPoint(ibd+1); // face ibd starts at ibd+1 (0 for internal quad points) | |
| 1519 | //NB: is "ig2 = ig1"??? The quad points should be the same for the 2 currentFEwBd... VM 10/2011 | ||
| 1520 | |||
| 1521 | //! Vector = [n \cdot \grad \phi(jdof)]: (std::vector line) | ||
| 1522 | ✗ | m_tmpVecDof = prod(trans(fewbd1.bdEle(ibd).normal[ilocg]), fewbd1.dPhi[ig]); | |
| 1523 | |||
| 1524 | // these 2 loops below are equivalent to the 2 outer_prod (below). is a method much faster than the other??? vm 11/2011 | ||
| 1525 | // beware: one does 2 outer_prod, and only one is useful (+ 2 matrix * scalar products). improve this... | ||
| 1526 | |||
| 1527 | /* for(int idof=0;idof<fewbd1.numDof();idof++){ | ||
| 1528 | for(int jdof=0;jdof<fewbd2.numDof();jdof++){ | ||
| 1529 | // dphi_1/dn(jdof) * psi_2(idof): | ||
| 1530 | double theval = fewbd1.bdEle(ibd).weightMeas(ilocg) * fewbd2.phi[ig](idof) * m_tmpVecDof(jdof); | ||
| 1531 | tmpBlock(idof,jdof) += coef1 * theval; | ||
| 1532 | tmpBlock(jdof,idof) += coef2 * theval; | ||
| 1533 | } | ||
| 1534 | }*/ | ||
| 1535 | //! Matrix = Vector^T * Vector (* val) | ||
| 1536 | ✗ | tmpBlock += ( coef1 * fewbd1.bdEle(ibd).weightMeas(ilocg) ) * outer_prod( fewbd2.phi[ig], m_tmpVecDof ); | |
| 1537 | ✗ | tmpBlock += ( coef2 * fewbd1.bdEle(ibd).weightMeas(ilocg) ) * outer_prod( m_tmpVecDof, fewbd2.phi[ig] ); | |
| 1538 | } | ||
| 1539 | } | ||
| 1540 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1541 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 1542 | ✗ | matrix += tmpBlock; | |
| 1543 | } | ||
| 1544 | } | ||
| 1545 | |||
| 1546 | /***********************************************************************************/ | ||
| 1547 | /***********************************************************************************/ | ||
| 1548 | |||
| 1549 | ✗ | void ElementMatrix::grad_phi_i_dot_n_grad_phi_j_dot_n(const double coef,const CurrentFiniteElementWithBd& fewbd, | |
| 1550 | int iblockBd, int numblockBd, | ||
| 1551 | const std::size_t iblock, const std::size_t jblock,const std::size_t num) | ||
| 1552 | { | ||
| 1553 | ✗ | FEL_ASSERT(iblockBd>=0 && iblockBd<fewbd.numBdEle() && (numblockBd-iblockBd) <= fewbd.numBdEle() ); | |
| 1554 | ✗ | m_tmpMat.clear(); | |
| 1555 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1556 | ✗ | for (int ibd=iblockBd; ibd<iblockBd+numblockBd; ibd++) { | |
| 1557 | ✗ | FEL_ASSERT( fewbd.bdEle(ibd).hasNormal() && fewbd.hasFirstDeriv() ); | |
| 1558 | ✗ | for(int ilocg=0; ilocg<fewbd.numQuadPointBdEle(ibd); ilocg++) { | |
| 1559 | ✗ | const int ig = ilocg+fewbd.indexQuadPoint(ibd+1); // face ibd starts at ibd+1 (0 for internal quad points) | |
| 1560 | |||
| 1561 | //! Vector = [n \cdot \grad \phi(jdof)]: | ||
| 1562 | ✗ | m_tmpVecDof = prod(trans(fewbd.bdEle(ibd).normal[ilocg]), fewbd.dPhi[ig]); | |
| 1563 | //! Matrix = Vector^T * Vector (* val) | ||
| 1564 | ✗ | tmpBlock += ( coef * fewbd.bdEle(ibd).weightMeas(ilocg) ) * outer_prod( m_tmpVecDof, m_tmpVecDof ); | |
| 1565 | } | ||
| 1566 | } | ||
| 1567 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 1568 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 1569 | ✗ | matrix += tmpBlock; | |
| 1570 | } | ||
| 1571 | } | ||
| 1572 | |||
| 1573 | /***********************************************************************************/ | ||
| 1574 | /***********************************************************************************/ | ||
| 1575 | |||
| 1576 | 2458444 | void ElementMatrix::grad_phi_j_dot_n_grad_psi_i_dot_n(const double coef, const CurrentFiniteElementWithBd& fewbdphi, const CurrentFiniteElementWithBd& fewbdpsi, felInt iBdPhi, felInt iBdPsi, const std::size_t iblock, const std::size_t jblock, const std::size_t numBlock) | |
| 1577 | { | ||
| 1578 | // Check that the ids of the boundary is in the bound | ||
| 1579 |
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2458444 | FEL_ASSERT(iBdPhi>=0 && iBdPhi<fewbdphi.numBdEle()); |
| 1580 |
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2458444 | FEL_ASSERT(iBdPsi>=0 && iBdPsi<fewbdpsi.numBdEle()); |
| 1581 | |||
| 1582 | // Check that the normal and the derivatives have been computed | ||
| 1583 |
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2458444 | FEL_ASSERT(fewbdphi.bdEle(iBdPhi).hasNormal() && fewbdphi.hasFirstDeriv()); |
| 1584 |
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2458444 | FEL_ASSERT(fewbdpsi.bdEle(iBdPsi).hasNormal() && fewbdpsi.hasFirstDeriv()); |
| 1585 | |||
| 1586 | // Check that the number of integration point is the same on the boundary | ||
| 1587 |
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2458444 | FEL_ASSERT(fewbdphi.numQuadPointBdEle(iBdPhi) == fewbdpsi.numQuadPointBdEle(iBdPsi)); |
| 1588 | |||
| 1589 | // Resize if required | ||
| 1590 |
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2458444 | if (m_tmpVec2Dof.size() != m_tmpVecDof.size()) |
| 1591 | ✗ | m_tmpVec2Dof.resize(m_tmpVecDof.size()); | |
| 1592 | |||
| 1593 | // Clear | ||
| 1594 |
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2458444 | m_tmpMat.clear(); |
| 1595 |
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2458444 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 1596 | |||
| 1597 | // Compute the integral over the boundary | ||
| 1598 |
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7375332 | for(felInt ilocg=0; ilocg<fewbdpsi.numQuadPointBdEle(iBdPsi); ++ilocg) { |
| 1599 | // Boundary iBdPhi starts at iBdPhi+1 (0 for internal quad points) | ||
| 1600 | 4916888 | const felInt igphi = ilocg + fewbdphi.indexQuadPoint(iBdPhi+1); | |
| 1601 | 4916888 | const felInt igpsi = ilocg + fewbdpsi.indexQuadPoint(iBdPsi+1); | |
| 1602 | |||
| 1603 | // Compute \grad \phi(jdof) \cdot nphi and \grad \psi(jdof) \cdot npsi | ||
| 1604 |
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4916888 | m_tmpVecDof = prod(trans(fewbdphi.bdEle(iBdPhi).normal[ilocg]), fewbdphi.dPhi[igphi]); |
| 1605 |
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4916888 | m_tmpVec2Dof = prod(trans(fewbdpsi.bdEle(iBdPsi).normal[ilocg]), fewbdpsi.dPhi[igpsi]); |
| 1606 | |||
| 1607 | // Compute Vector^T * Vector (* val) | ||
| 1608 |
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4916888 | tmpBlock += (coef * fewbdpsi.bdEle(iBdPsi).weightMeas(ilocg)) * outer_prod(m_tmpVec2Dof, m_tmpVecDof); |
| 1609 | } | ||
| 1610 | |||
| 1611 |
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6157436 | for(std::size_t icoor=0; icoor<numBlock; icoor++) { |
| 1612 |
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3698992 | UBlasMatrixRange matrix = matBlock(iblock+icoor, jblock+icoor); |
| 1613 |
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3698992 | matrix += tmpBlock; |
| 1614 | 3698992 | } | |
| 1615 | 2458444 | } | |
| 1616 | |||
| 1617 | /***********************************************************************************/ | ||
| 1618 | /***********************************************************************************/ | ||
| 1619 | |||
| 1620 | ✗ | void ElementMatrix::grad_phi_j_grad_psi_i(const double coef, const CurrentFiniteElementWithBd& fewbdphi, const CurrentFiniteElementWithBd& fewbdpsi, felInt iBdPhi, felInt iBdPsi, const std::size_t iblock, const std::size_t jblock, const std::size_t numBlock) | |
| 1621 | { | ||
| 1622 | // Check that the ids of the boundary is in the bound | ||
| 1623 | ✗ | FEL_ASSERT(iBdPhi>=0 && iBdPhi<fewbdphi.numBdEle()); | |
| 1624 | ✗ | FEL_ASSERT(iBdPsi>=0 && iBdPsi<fewbdpsi.numBdEle()); | |
| 1625 | |||
| 1626 | // Check that the derivatives have been computed | ||
| 1627 | ✗ | FEL_ASSERT(fewbdphi.hasFirstDeriv()); | |
| 1628 | ✗ | FEL_ASSERT(fewbdpsi.hasFirstDeriv()); | |
| 1629 | |||
| 1630 | // Check that the number of integration point is the same on the boundary | ||
| 1631 | ✗ | FEL_ASSERT(fewbdphi.numQuadPointBdEle(iBdPhi) == fewbdpsi.numQuadPointBdEle(iBdPsi)); | |
| 1632 | |||
| 1633 | // Clear | ||
| 1634 | ✗ | m_tmpMat.clear(); | |
| 1635 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1636 | |||
| 1637 | // Compute the integral over the boundary | ||
| 1638 | ✗ | for(felInt ilocg=0; ilocg<fewbdpsi.numQuadPointBdEle(iBdPsi); ++ilocg) { | |
| 1639 | // boundary iBdPhi starts at iBdPhi+1 (0 for internal quad points) | ||
| 1640 | ✗ | const felInt igphi = ilocg + fewbdphi.indexQuadPoint(iBdPhi+1); | |
| 1641 | ✗ | const felInt igpsi = ilocg + fewbdpsi.indexQuadPoint(iBdPsi+1); | |
| 1642 | |||
| 1643 | ✗ | tmpBlock += coef * fewbdpsi.bdEle(iBdPsi).weightMeas(ilocg) * prod(trans(fewbdpsi.dPhi[igpsi]), fewbdphi.dPhi[igphi]); | |
| 1644 | } | ||
| 1645 | |||
| 1646 | ✗ | for(std::size_t icoor=0; icoor<numBlock; icoor++) { | |
| 1647 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor, jblock+icoor); | |
| 1648 | ✗ | matrix += tmpBlock; | |
| 1649 | } | ||
| 1650 | } | ||
| 1651 | |||
| 1652 | /***********************************************************************************/ | ||
| 1653 | /***********************************************************************************/ | ||
| 1654 | |||
| 1655 | 85595 | void ElementMatrix::div_phi_j_div_phi_i(const double coef, const CurrentFiniteElement& fe, const std::size_t iblock, std::size_t, const std::size_t num) | |
| 1656 | { | ||
| 1657 | 85595 | m_tmpMat.clear(); | |
| 1658 |
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304928 | for(std::size_t icoor=iblock; icoor<num; icoor++) { |
| 1659 |
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620547 | for(std::size_t jcoor=icoor; jcoor<num; jcoor++) { |
| 1660 |
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401214 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,icoor,jcoor); |
| 1661 |
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1893714 | for(felInt idof=0; idof<fe.numDof(); ++idof) { |
| 1662 |
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7125432 | for(felInt jdof=0; jdof<fe.numDof(); ++jdof) { |
| 1663 |
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32466786 | for(felInt ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1664 |
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26833854 | tmpBlock(idof, jdof) += coef * fe.weightMeas(ig) * fe.dPhi[ig](jcoor, jdof) * fe.dPhi[ig](icoor, idof); |
| 1665 | } | ||
| 1666 | } | ||
| 1667 | } | ||
| 1668 |
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401214 | UBlasMatrixRange mat1 = matBlock(icoor,jcoor); |
| 1669 |
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401214 | if (jcoor==icoor) { |
| 1670 |
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219333 | mat1 += tmpBlock; |
| 1671 | } else { | ||
| 1672 |
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181881 | mat1 += tmpBlock; |
| 1673 |
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181881 | UBlasMatrixRange mat2 = matBlock(jcoor,icoor); |
| 1674 |
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181881 | mat2 += trans(tmpBlock); |
| 1675 | 181881 | } | |
| 1676 | 401214 | } | |
| 1677 | } | ||
| 1678 | 85595 | } | |
| 1679 | |||
| 1680 | /***********************************************************************************/ | ||
| 1681 | /***********************************************************************************/ | ||
| 1682 | |||
| 1683 | 8106366 | void ElementMatrix::stab_supg(const double dt, const double stab1, const double stab2, const double density, const double visc, | |
| 1684 | const CurrentFiniteElement& fe,const ElementField& vel,const ElementField& rhs, | ||
| 1685 | ElementVector& elemVec,double& Re_elem,double& tau, const int type) | ||
| 1686 | { | ||
| 1687 | /** | ||
| 1688 | * Typical value for stab1 = 0.1 | ||
| 1689 | * This stabilization does not include the 1/dt term (not strongly consistant with the time discrete scheme, may be viewed as a space-time, P0 in time) | ||
| 1690 | * If type = 1: stabilization parameter depends on dt (Tezduyar) | ||
| 1691 | * If type = 2: stabilization parameter independent of dt (Franca-Frey CMAME 1992) | ||
| 1692 | */ | ||
| 1693 |
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8106366 | FEL_ASSERT(vel.type() == DOF_FIELD); |
| 1694 |
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8106366 | FEL_ASSERT(rhs.type() == DOF_FIELD); |
| 1695 | |||
| 1696 | // Resize if required | ||
| 1697 |
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8106366 | if (m_tmpVec2Coor.size() != m_tmpVecCoor.size()) |
| 1698 | 3016 | m_tmpVec2Coor.resize(m_tmpVecCoor.size()); | |
| 1699 | |||
| 1700 | double weightJ,norm_u,delta,s,adv_j,div,adveps; | ||
| 1701 | 8106366 | const double h_elem = fe.diameter(); | |
| 1702 | int i0,j0,i0_pres; | ||
| 1703 |
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|
50011840 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1704 | 41905474 | weightJ = fe.weightMeas(ig); | |
| 1705 | // Computation of u and f in the element in the integration point ig | ||
| 1706 |
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|
41905474 | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); // vel |
| 1707 | 41905474 | norm_u = norm_1(m_tmpVecCoor); | |
| 1708 |
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|
41905474 | m_tmpVec2Coor = prod(rhs.val,fe.phi[ig]); // rhs |
| 1709 | 41905474 | Re_elem = density*stab1*norm_u*h_elem/(4*visc); | |
| 1710 |
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|
41905474 | if(Re_elem<1.) { |
| 1711 | 41633562 | tau = stab1*density*h_elem*h_elem/(8*visc); | |
| 1712 | 41633562 | delta = stab2*norm_u*h_elem*Re_elem; | |
| 1713 | } else { | ||
| 1714 | 271912 | tau = h_elem/(2.*norm_u); | |
| 1715 | 271912 | delta = stab2*norm_u*h_elem; | |
| 1716 | } | ||
| 1717 |
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|
41905474 | if(type==1) { |
| 1718 | 18869764 | tau = 10.*stab1 / std::sqrt( (4./(dt*dt)) + | |
| 1719 | 18869764 | (4.*norm_u*norm_u)/(h_elem*h_elem) + | |
| 1720 | 18869764 | (16.*visc*visc)/(density*density*h_elem*h_elem*h_elem*h_elem) | |
| 1721 | 18869764 | ) / density; | |
| 1722 | // coef 10 is to have a typical value of 0.1 as for type 2 | ||
| 1723 | 18869764 | delta = stab2*h_elem*h_elem/tau ; | |
| 1724 | } | ||
| 1725 | |||
| 1726 | 41905474 | int ncoor = fe.numCoor(); | |
| 1727 | 41905474 | i0_pres = m_firstRow[ncoor]; | |
| 1728 |
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206662046 | for(int idof=0; idof<fe.numDof(); idof++) { |
| 1729 | 164756572 | adveps=0.; | |
| 1730 |
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650302316 | for(int kcoor=0; kcoor<ncoor; kcoor++) { |
| 1731 | 485545744 | adveps += m_tmpVecCoor[kcoor]* fe.dPhi[ig](kcoor,idof); | |
| 1732 | } | ||
| 1733 | 164756572 | adveps *= density*tau*weightJ;// rho (u.\gradv_i) | |
| 1734 | 164756572 | s=0.; | |
| 1735 |
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650302316 | for(int icoor=0; icoor<ncoor; icoor++) { |
| 1736 | 485545744 | i0 = m_firstRow[icoor]; | |
| 1737 | 485545744 | elemVec.vec()[i0+idof] += m_tmpVec2Coor[icoor]*adveps; | |
| 1738 | 485545744 | s += fe.dPhi[ig](icoor,idof)*m_tmpVec2Coor(icoor); // same fe for velocity and pressure | |
| 1739 | } | ||
| 1740 | 164756572 | elemVec.vec()[i0_pres+idof] -= tau*s*weightJ; | |
| 1741 |
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815186888 | for(int jdof=0; jdof<fe.numDof(); jdof++) { |
| 1742 | 650430316 | adv_j = 0.; | |
| 1743 |
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2575421348 | for(int kcoor=0; kcoor<ncoor; kcoor++) { |
| 1744 | 1924991032 | adv_j += m_tmpVecCoor(kcoor)*fe.dPhi[ig](kcoor,jdof); | |
| 1745 | } | ||
| 1746 | 650430316 | adv_j *= density; // rho (u.\grad v_j) | |
| 1747 |
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2575421348 | for(int icoor=0; icoor<ncoor; icoor++) { |
| 1748 | 1924991032 | i0 = m_firstRow[icoor]; | |
| 1749 | 1924991032 | div = delta*fe.dPhi[ig](icoor,idof)*weightJ; | |
| 1750 |
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7647364296 | for(int jcoor=0; jcoor<ncoor; jcoor++) { |
| 1751 | 5722373264 | j0 = m_firstCol[jcoor]; | |
| 1752 |
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5722373264 | if(icoor==jcoor) { |
| 1753 | 1924991032 | m_mat(i0+idof,j0+jdof) += adv_j*adveps; // on the diagonal blocks | |
| 1754 | } | ||
| 1755 | 5722373264 | m_mat(i0+idof,j0+jdof) += div*fe.dPhi[ig](jcoor,jdof); | |
| 1756 | }// jcoor | ||
| 1757 | 1924991032 | m_mat(i0+idof,i0_pres+jdof) += adveps*fe.dPhi[ig](icoor,jdof); // // same fe for velocity and pressure | |
| 1758 | 1924991032 | m_mat(i0_pres+idof,i0+jdof) -= fe.dPhi[ig](icoor,idof)*tau*weightJ*adv_j; | |
| 1759 | 1924991032 | m_mat(i0_pres+idof,i0_pres+jdof) -= fe.dPhi[ig](icoor,idof)*fe.dPhi[ig](icoor,jdof)*tau*weightJ; | |
| 1760 | }// icoor | ||
| 1761 | }// jdof | ||
| 1762 | }// idof | ||
| 1763 | }// ig | ||
| 1764 | 8106366 | } | |
| 1765 | |||
| 1766 | /***********************************************************************************/ | ||
| 1767 | /***********************************************************************************/ | ||
| 1768 | |||
| 1769 | ✗ | void ElementMatrix::stab_supgNSHeat(const double dt, const double stab1, const double alpha, const double density, const double visc, | |
| 1770 | const CurrentFiniteElement& fe, const ElementField& vel, const int type, const std::vector<double> & gravity) | ||
| 1771 | { | ||
| 1772 | ✗ | FEL_ASSERT(vel.type() == DOF_FIELD); | |
| 1773 | |||
| 1774 | ✗ | double weightJ,norm_u,Re_elem,adv_i,tau = 0.0; | |
| 1775 | ✗ | const double h_elem = fe.diameter(); | |
| 1776 | ✗ | const felInt numCompVel = fe.numCoor(); | |
| 1777 | ✗ | FEL_ASSERT(std::size_t(numCompVel) == gravity.size()); | |
| 1778 | |||
| 1779 | ✗ | const felInt jBlockTemp = numCompVel + 1; | |
| 1780 | ✗ | const felInt iBlockPres = numCompVel; | |
| 1781 | |||
| 1782 | felInt iStartVel,jStartTemp,iStartPre; | ||
| 1783 | |||
| 1784 | ✗ | const double coeffVel=density*density*alpha; | |
| 1785 | ✗ | const double coeffPre=-density*alpha; | |
| 1786 | |||
| 1787 | ✗ | jStartTemp = m_firstCol[jBlockTemp]; | |
| 1788 | ✗ | iStartPre = m_firstRow[iBlockPres]; | |
| 1789 | |||
| 1790 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 1791 | ✗ | weightJ = fe.weightMeas(ig); | |
| 1792 | |||
| 1793 | // Evaluation of the extrapolated velocity on the current quadrature node | ||
| 1794 | ✗ | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); | |
| 1795 | |||
| 1796 | // Local Reynolds computation and parameter settings | ||
| 1797 | ✗ | norm_u = norm_1(m_tmpVecCoor); | |
| 1798 | ✗ | Re_elem = density*stab1*norm_u*h_elem/(4*visc); | |
| 1799 | |||
| 1800 | ✗ | if (type==0) { | |
| 1801 | ✗ | if(Re_elem<1.) { | |
| 1802 | ✗ | tau = stab1*density*h_elem*h_elem/(8*visc); | |
| 1803 | } else { | ||
| 1804 | ✗ | tau = h_elem/(2.*norm_u); | |
| 1805 | } | ||
| 1806 | ✗ | } else if (type==1) { | |
| 1807 | ✗ | tau = 10.*stab1 / std::sqrt( (4./(dt*dt)) + | |
| 1808 | ✗ | (4.*norm_u*norm_u)/(h_elem*h_elem) + | |
| 1809 | ✗ | (16.*visc*visc)/(density*density*h_elem*h_elem*h_elem*h_elem) | |
| 1810 | ) / density; | ||
| 1811 | } | ||
| 1812 | |||
| 1813 | ✗ | for (int idof=0; idof<fe.numDof(); ++idof) { | |
| 1814 | //w\dot \nabla \phi_{idof} (x_{ig}) | ||
| 1815 | ✗ | adv_i = 0; | |
| 1816 | ✗ | for (int kcoor=0; kcoor<numCompVel; kcoor++) { | |
| 1817 | ✗ | adv_i += m_tmpVecCoor[kcoor]*fe.dPhi[ig](kcoor,idof); | |
| 1818 | } | ||
| 1819 | ✗ | adv_i *= weightJ * coeffVel * tau; | |
| 1820 | ✗ | for (int icoor=0; icoor<numCompVel; icoor++) { | |
| 1821 | ✗ | iStartVel = m_firstRow[icoor]; | |
| 1822 | ✗ | adv_i *= gravity[icoor]; | |
| 1823 | ✗ | for (int jdof=0; jdof<fe.numDof(); ++jdof) { | |
| 1824 | ✗ | m_mat(iStartVel+idof,jStartTemp+jdof) += adv_i * fe.phi[ig](jdof); | |
| 1825 | } | ||
| 1826 | } | ||
| 1827 | } | ||
| 1828 | |||
| 1829 | ✗ | for (int idof=0; idof<fe.numDof(); ++idof) { | |
| 1830 | //nabla \phi_{idof}\cdot gravity | ||
| 1831 | ✗ | adv_i = 0; | |
| 1832 | ✗ | for (int kcoor=0; kcoor<numCompVel; kcoor++) { | |
| 1833 | ✗ | adv_i += gravity[kcoor]*fe.dPhi[ig](kcoor,idof); | |
| 1834 | } | ||
| 1835 | ✗ | adv_i *= weightJ * coeffPre * tau; | |
| 1836 | ✗ | for (int jdof=0; jdof<fe.numDof(); ++jdof) { | |
| 1837 | ✗ | m_mat(iStartPre+idof,jStartTemp+jdof) += adv_i * fe.phi[ig](jdof); | |
| 1838 | } | ||
| 1839 | } | ||
| 1840 | } | ||
| 1841 | } | ||
| 1842 | |||
| 1843 | /***********************************************************************************/ | ||
| 1844 | /***********************************************************************************/ | ||
| 1845 | |||
| 1846 | 1312620 | void ElementMatrix::stab_supgAdvDiffCT(const double dt, const double stab1, const double stab2, const double density, const double visc, | |
| 1847 | const CurrentFiniteElement& fe,const ElementField& vel) | ||
| 1848 | { | ||
| 1849 |
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1312620 | FEL_ASSERT(vel.type() == DOF_FIELD); |
| 1850 | |||
| 1851 | double weightJ,norm_u,delta,adv_j,div,adveps, tau; | ||
| 1852 | 1312620 | const double h_elem = fe.diameter(); | |
| 1853 | int i0,j0; | ||
| 1854 |
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6563100 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1855 | 5250480 | weightJ = fe.weightMeas(ig); | |
| 1856 | // Computation of u and f in the element in the integration point ig | ||
| 1857 |
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5250480 | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); // vel |
| 1858 | 5250480 | norm_u = norm_1(m_tmpVecCoor); | |
| 1859 | 5250480 | delta = stab2*norm_u*h_elem; | |
| 1860 | 5250480 | tau = 10.*stab1 / std::sqrt( (4./(dt*dt)) + | |
| 1861 | 5250480 | (4.*norm_u*norm_u)/(h_elem*h_elem) + | |
| 1862 | 5250480 | (16.*visc*visc)/(density*density*h_elem*h_elem*h_elem*h_elem) | |
| 1863 | ) / density; | ||
| 1864 | 5250480 | int ncoor = fe.numCoor(); | |
| 1865 |
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26252400 | for(int idof=0; idof<fe.numDof(); idof++) { |
| 1866 | 21001920 | adveps=0.; | |
| 1867 |
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84007680 | for(int kcoor=0; kcoor<ncoor; kcoor++) { |
| 1868 | 63005760 | adveps += m_tmpVecCoor[kcoor]* fe.dPhi[ig](kcoor,idof); | |
| 1869 | } | ||
| 1870 | 21001920 | adveps *= density*tau*weightJ;// rho (u.\gradv_i) | |
| 1871 |
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105009600 | for(int jdof=0; jdof<fe.numDof(); jdof++) { |
| 1872 | 84007680 | adv_j = 0.; | |
| 1873 |
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336030720 | for(int kcoor=0; kcoor<ncoor; kcoor++) { |
| 1874 | 252023040 | adv_j += m_tmpVecCoor(kcoor)*fe.dPhi[ig](kcoor,jdof); | |
| 1875 | } | ||
| 1876 | 84007680 | adv_j *= density; // rho (u.\grad v_j) | |
| 1877 |
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336030720 | for(int icoor=0; icoor<ncoor; icoor++) { |
| 1878 | 252023040 | i0 = m_firstRow[icoor]; | |
| 1879 | 252023040 | div = delta*fe.dPhi[ig](icoor,idof)*weightJ; | |
| 1880 |
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1008092160 | for(int jcoor=0; jcoor<ncoor; jcoor++) { |
| 1881 | 756069120 | j0 = m_firstCol[jcoor]; | |
| 1882 |
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756069120 | if(icoor==jcoor) { |
| 1883 | 252023040 | m_mat(i0+idof,j0+jdof) += adv_j*adveps; // on the diagonal blocks | |
| 1884 | } | ||
| 1885 | 756069120 | m_mat(i0+idof,j0+jdof) += div*fe.dPhi[ig](jcoor,jdof); | |
| 1886 | }// jcoor | ||
| 1887 | }// icoor | ||
| 1888 | }// jdof | ||
| 1889 | }// idof | ||
| 1890 | }// ig | ||
| 1891 | 1312620 | } | |
| 1892 | |||
| 1893 | /***********************************************************************************/ | ||
| 1894 | /***********************************************************************************/ | ||
| 1895 | |||
| 1896 | 1312620 | void ElementMatrix::stab_supgProjCT(const double dt, const double stab1, const double density, const double visc, const CurrentFiniteElement& fe,const ElementField& vel) | |
| 1897 | { | ||
| 1898 |
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1312620 | FEL_ASSERT(vel.type() == DOF_FIELD); |
| 1899 |
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1312620 | UBlasMatrixRange matrix = matBlock(0,0); |
| 1900 | double norm_u; | ||
| 1901 |
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1312620 | const double h_elem = fe.diameter(); |
| 1902 | double tau; | ||
| 1903 |
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6563100 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 1904 | // Computation of u and f in the element in the integration point ig | ||
| 1905 |
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5250480 | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); // vel |
| 1906 |
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5250480 | norm_u = norm_1(m_tmpVecCoor); |
| 1907 | 5250480 | tau = 10.*stab1 / std::sqrt( (4./(dt*dt)) + | |
| 1908 | 5250480 | (4.*norm_u*norm_u)/(h_elem*h_elem) + | |
| 1909 | 5250480 | (16.*visc*visc)/(density*density*h_elem*h_elem*h_elem*h_elem) | |
| 1910 | ) / density; | ||
| 1911 |
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5250480 | matrix += tau * fe.weightMeas(ig) * prod(trans(fe.dPhi[ig]),fe.dPhi[ig]); |
| 1912 | } | ||
| 1913 | 1312620 | } | |
| 1914 | |||
| 1915 | /***********************************************************************************/ | ||
| 1916 | /***********************************************************************************/ | ||
| 1917 | |||
| 1918 | ✗ | void ElementMatrix::stab_supgMatrixFS(const double dt, const double stabSUPG, const double density, const double viscosity, | |
| 1919 | const double c0, const double c1, const double c2, | ||
| 1920 | const CurrentFiniteElement& fe, const ElementField& vel) | ||
| 1921 | { | ||
| 1922 | // Compute : | ||
| 1923 | // (int_K stabSUPG * tau * c0 * (vel . \grad) . v ) . (c1 u + c2 (vel . \grad) . u) | ||
| 1924 | // tau is computed automatically in the function | ||
| 1925 | ✗ | FEL_ASSERT(vel.type() == DOF_FIELD); | |
| 1926 | double weightJ, norm_u, adv_j, adveps, phij; | ||
| 1927 | ✗ | const double h_elem = fe.diameter(); | |
| 1928 | double tau; | ||
| 1929 | int i0; | ||
| 1930 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { | |
| 1931 | ✗ | weightJ = fe.weightMeas(ig); | |
| 1932 | |||
| 1933 | // Computation of U in the element in the integration point ig | ||
| 1934 | ✗ | m_tmpVecCoor = prod(vel.val,fe.phi[ig]); | |
| 1935 | ✗ | norm_u = norm_1(m_tmpVecCoor); | |
| 1936 | |||
| 1937 | ✗ | tau = stabSUPG / std::sqrt( (4./(dt*dt)) + | |
| 1938 | ✗ | (4.*norm_u*norm_u)/(h_elem*h_elem) + | |
| 1939 | ✗ | (16*viscosity*viscosity)/(density*density*h_elem*h_elem*h_elem*h_elem)); | |
| 1940 | |||
| 1941 | ✗ | int ncoor = fe.numCoor(); | |
| 1942 | ✗ | for(int idof=0; idof<fe.numDof(); idof++) { | |
| 1943 | ✗ | adveps=0.; | |
| 1944 | ✗ | for(int kcoor=0; kcoor<ncoor; kcoor++) { | |
| 1945 | ✗ | adveps += m_tmpVecCoor(kcoor) * fe.dPhi[ig](kcoor, idof); | |
| 1946 | } | ||
| 1947 | ✗ | adveps *= c0 * tau * weightJ; // tau * C_0 (U . \grad) . v_i | |
| 1948 | |||
| 1949 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 1950 | ✗ | adv_j = 0.; | |
| 1951 | ✗ | for(int kcoor=0; kcoor<ncoor; kcoor++) { | |
| 1952 | ✗ | adv_j += m_tmpVecCoor(kcoor) * fe.dPhi[ig](kcoor, jdof); | |
| 1953 | } | ||
| 1954 | ✗ | adv_j *= c2; // C_2 (U . \grad) . v_j) | |
| 1955 | |||
| 1956 | ✗ | phij = c1 * fe.phi[ig](jdof); // C_1 v_j | |
| 1957 | |||
| 1958 | ✗ | for(int icoor=0; icoor<ncoor; icoor++) { | |
| 1959 | ✗ | i0 = m_firstRow[icoor]; | |
| 1960 | |||
| 1961 | // on the diagonal blocks | ||
| 1962 | ✗ | m_mat(i0 + idof, i0 + jdof) += adveps * adv_j; | |
| 1963 | ✗ | m_mat(i0 + idof, i0 + jdof) += adveps * phij; | |
| 1964 | |||
| 1965 | } // icoor | ||
| 1966 | } // jdof | ||
| 1967 | } // idof | ||
| 1968 | } // ig | ||
| 1969 | } | ||
| 1970 | |||
| 1971 | /***********************************************************************************/ | ||
| 1972 | /***********************************************************************************/ | ||
| 1973 | |||
| 1974 | ✗ | void ElementMatrix::f_dot_n_grad_phi_i_grad_phi_j(const double coef,const CurvilinearFiniteElement& fe, const ElementField& elfield,const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 1975 | { | ||
| 1976 | ✗ | m_tmpMat.clear(); | |
| 1977 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 1978 | ✗ | UBlasMatrix tmpAdPhi; | |
| 1979 | double tmp,f_dot_n; | ||
| 1980 | ✗ | for(int ig=0, numQuadPoint = fe.numQuadraturePoint(); ig < numQuadPoint; ig++) { | |
| 1981 | ✗ | f_dot_n = 0.; | |
| 1982 | ✗ | for(int icomp=0; icomp<fe.numCoor(); icomp++) { | |
| 1983 | ✗ | tmp = 0.; | |
| 1984 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 1985 | ✗ | tmp += fe.phi[ig](jdof) * elfield.val(icomp,jdof); | |
| 1986 | } | ||
| 1987 | ✗ | f_dot_n += tmp * fe.normal[ig](icomp); | |
| 1988 | } | ||
| 1989 | ✗ | tmpAdPhi = prod(fe.contravariantMetric[ig],fe.dPhiRef(ig)); | |
| 1990 | |||
| 1991 | ✗ | if (f_dot_n < 0) | |
| 1992 | ✗ | tmpBlock += coef*f_dot_n*fe.weightMeas(ig)*prod(trans(fe.dPhiRef(ig)),tmpAdPhi); | |
| 1993 | } | ||
| 1994 | |||
| 1995 | ✗ | for(std::size_t icoor=0; icoor < num; icoor++) { | |
| 1996 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 1997 | ✗ | matrix += tmpBlock; | |
| 1998 | } | ||
| 1999 | } | ||
| 2000 | |||
| 2001 | /***********************************************************************************/ | ||
| 2002 | /***********************************************************************************/ | ||
| 2003 | |||
| 2004 | 900 | void ElementMatrix:: f_dot_n_phi_i_phi_j(const double coef, const CurvilinearFiniteElement& fe,const ElementField& elfield, const std::size_t iblock, const std::size_t jblock,const std::size_t num, int stabFlag) | |
| 2005 | { | ||
| 2006 |
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900 | m_tmpMat.clear(); |
| 2007 | double tmp,f_dot_n; | ||
| 2008 |
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900 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 2009 |
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2700 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 2010 | 1800 | f_dot_n = 0.; | |
| 2011 |
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5400 | for(int icomp=0; icomp<fe.numCoor(); icomp++) { |
| 2012 | 3600 | tmp = 0.; | |
| 2013 |
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|
10800 | for(int jdof=0; jdof<fe.numDof(); jdof++) { |
| 2014 |
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7200 | tmp += fe.phi[ig](jdof) * elfield.val(icomp,jdof); |
| 2015 | } | ||
| 2016 |
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|
3600 | f_dot_n += tmp * fe.normal[ig](icomp); |
| 2017 | } | ||
| 2018 | // outflow stabilization | ||
| 2019 |
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1800 | if (stabFlag == 2) { |
| 2020 |
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1800 | if (f_dot_n < 0) |
| 2021 |
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|
1046 | tmpBlock += f_dot_n * coef * fe.weightMeas(ig) * outer_prod(fe.phi[ig], fe.phi[ig]); |
| 2022 | } else { // this is no longer outflow stabilization. | ||
| 2023 | ✗ | tmpBlock += f_dot_n * coef * fe.weightMeas(ig) * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 2024 | } | ||
| 2025 | |||
| 2026 | } | ||
| 2027 | |||
| 2028 |
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2700 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 2029 |
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|
1800 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); |
| 2030 |
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|
1800 | matrix += tmpBlock; |
| 2031 | 1800 | } | |
| 2032 | 900 | } | |
| 2033 | |||
| 2034 | /***********************************************************************************/ | ||
| 2035 | /***********************************************************************************/ | ||
| 2036 | |||
| 2037 | 12816 | void ElementMatrix:: f_dot_n_phi_i_phi_j(const double coef, const CurrentFiniteElement& fe, const ElementField& elt_f, const ElementField& elt_n, const std::size_t iblock, const std::size_t jblock, const std::size_t num, felInt stabFlag) | |
| 2038 | { | ||
| 2039 |
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|
12816 | m_tmpMat.clear(); |
| 2040 | double tmp, f_dot_n; | ||
| 2041 |
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|
12816 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); |
| 2042 |
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|
51264 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 2043 | 38448 | f_dot_n = 0.; | |
| 2044 |
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115344 | for(int icomp=0; icomp<fe.numCoor(); icomp++) { |
| 2045 | 76896 | tmp = 0.; | |
| 2046 |
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| 2047 |
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230688 | tmp += fe.phi[ig](jdof) * elt_f.val(icomp, jdof); |
| 2048 | } | ||
| 2049 |
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76896 | f_dot_n += tmp * elt_n.val(icomp, 0); |
| 2050 | } | ||
| 2051 | |||
| 2052 |
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38448 | if (f_dot_n < 0 || stabFlag != 2) |
| 2053 |
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|
38448 | tmpBlock += f_dot_n * coef * fe.weightMeas(ig) * outer_prod(fe.phi[ig], fe.phi[ig]); |
| 2054 | } | ||
| 2055 | |||
| 2056 |
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38448 | for(std::size_t icoor=0; icoor<num; icoor++) { |
| 2057 |
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25632 | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); |
| 2058 |
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|
25632 | matrix += tmpBlock; |
| 2059 | 25632 | } | |
| 2060 | 12816 | } | |
| 2061 | |||
| 2062 | /***********************************************************************************/ | ||
| 2063 | /***********************************************************************************/ | ||
| 2064 | |||
| 2065 | ✗ | void ElementMatrix::abs_u_dot_n_phi_i_phi_j(const double coef, | |
| 2066 | ElementField& vel, | ||
| 2067 | CurvilinearFiniteElement& fe, | ||
| 2068 | const std::size_t iblock, const std::size_t jblock,int num) | ||
| 2069 | { | ||
| 2070 | |||
| 2071 | ✗ | m_tmpMat.clear(); | |
| 2072 | |||
| 2073 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2074 | double tmp; | ||
| 2075 | double u_dot_n; | ||
| 2076 | |||
| 2077 | //switch(vel.type()){ | ||
| 2078 | //case DOF_FIELD: { | ||
| 2079 | ✗ | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { // loop on gauss pts. | |
| 2080 | ✗ | u_dot_n = 0; | |
| 2081 | ✗ | for(int icomp=0; icomp<fe.numCoor(); icomp++) { | |
| 2082 | ✗ | tmp = 0.; | |
| 2083 | ✗ | for(int jdof=0; jdof<fe.numDof(); jdof++) { | |
| 2084 | ✗ | tmp += fe.phi[ig](jdof) * vel.val(icomp,jdof); | |
| 2085 | } | ||
| 2086 | ✗ | u_dot_n += tmp * fe.normal[ig](icomp); | |
| 2087 | } | ||
| 2088 | ✗ | tmpBlock += 0.5 * (std::abs(u_dot_n)-u_dot_n) * | |
| 2089 | ✗ | coef * fe.weightMeas(ig) * outer_prod(fe.phi[ig], fe.phi[ig]); | |
| 2090 | } | ||
| 2091 | |||
| 2092 | //std::cout << " block" << iblock << "," << jblock << std::endl; | ||
| 2093 | ✗ | for(int icoor=0; icoor<num; icoor++) { | |
| 2094 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 2095 | ✗ | matrix += tmpBlock; | |
| 2096 | } | ||
| 2097 | } | ||
| 2098 | |||
| 2099 | /***********************************************************************************/ | ||
| 2100 | /***********************************************************************************/ | ||
| 2101 | |||
| 2102 | ✗ | void ElementMatrix::phi_i_times_n_phi_j_times_n(const double coef, const CurvilinearFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const int numComp) | |
| 2103 | { | ||
| 2104 | IGNORE_UNUSED_ARGUMENT(numComp); | ||
| 2105 | ✗ | m_tmpMat.clear(); | |
| 2106 | // TGV \int_element_in_Gamma [ (phi_i \cdot \tau) \tau ] \cdot [ (phi_j \cdot \tau) \tau ] = | ||
| 2107 | // = TGV \int_element_in_Gamma (phi_i \cdot \tau) (phi_j \cdot \tau) = | ||
| 2108 | // = TGV \int_element_in_Gamma [ (I - n x n^t) phi_i ] \cdot [ (I - n x n^t) phi_j ] | ||
| 2109 | |||
| 2110 | ✗ | UBlasIdentityMatrix IdeMat(fe.numCoor()); | |
| 2111 | |||
| 2112 | ✗ | for( std::size_t icoor=0 ; icoor < (std::size_t) fe.numCoor() ; icoor++ ) { | |
| 2113 | ✗ | for( std::size_t jcoor=0 ; jcoor < (std::size_t) fe.numCoor() ; jcoor++ ) { | |
| 2114 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock+jcoor); | |
| 2115 | ✗ | for( std::size_t idof=0 ; idof < (std::size_t) fe.numDof() ; idof++ ) { | |
| 2116 | ✗ | for( std::size_t jdof=0 ; jdof < (std::size_t) fe.numDof() ; jdof++ ) { | |
| 2117 | ✗ | for( std::size_t ig=0; ig < (std::size_t) fe.numQuadraturePoint(); ig++ ) { | |
| 2118 | ✗ | tmpBlock(idof,jdof) += coef * fe.weightMeas(ig) * ( IdeMat(icoor,jcoor) - fe.normal[ig](icoor) * fe.normal[ig](jcoor) ) * fe.phi[ig](idof) * fe.phi[ig](jdof); | |
| 2119 | } | ||
| 2120 | } | ||
| 2121 | } | ||
| 2122 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); | |
| 2123 | ✗ | matrix += tmpBlock; | |
| 2124 | } | ||
| 2125 | } | ||
| 2126 | } | ||
| 2127 | |||
| 2128 | /***********************************************************************************/ | ||
| 2129 | /***********************************************************************************/ | ||
| 2130 | |||
| 2131 | 44800 | void ElementMatrix::phi_i_dot_n_phi_j_dot_n(const double coef, const CurvilinearFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const int numComp) | |
| 2132 | { | ||
| 2133 | IGNORE_UNUSED_ARGUMENT(numComp); | ||
| 2134 | |||
| 2135 | 44800 | m_tmpMat.clear(); | |
| 2136 | |||
| 2137 |
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179200 | for( std::size_t icoor=0 ; icoor < (std::size_t) fe.numCoor() ; icoor++ ) { |
| 2138 |
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537600 | for( std::size_t jcoor=0 ; jcoor < (std::size_t) fe.numCoor() ; jcoor++ ) { |
| 2139 | |||
| 2140 |
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|
403200 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock+jcoor); |
| 2141 | |||
| 2142 |
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1612800 | for( std::size_t ig=0; ig < (std::size_t) fe.numQuadraturePoint(); ig++ ) { |
| 2143 | |||
| 2144 |
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4838400 | for( std::size_t idof=0 ; idof < (std::size_t) fe.numDof() ; idof++ ) { |
| 2145 |
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|
14515200 | for( std::size_t jdof=0 ; jdof < (std::size_t) fe.numDof() ; jdof++ ) { |
| 2146 | |||
| 2147 | // coef * (phi_i \cdot \n_icoor) * (phi_j \cdot \n_jcoor) | ||
| 2148 |
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|
10886400 | tmpBlock(idof,jdof) += coef * fe.weightMeas(ig) * fe.normal[ig](icoor) * fe.phi[ig](idof) * fe.normal[ig](jcoor) * fe.phi[ig](jdof); |
| 2149 | } | ||
| 2150 | } | ||
| 2151 | } | ||
| 2152 |
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403200 | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); |
| 2153 |
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|
403200 | matrix += tmpBlock; |
| 2154 | 403200 | } | |
| 2155 | } | ||
| 2156 | 44800 | } | |
| 2157 | |||
| 2158 | /***********************************************************************************/ | ||
| 2159 | /***********************************************************************************/ | ||
| 2160 | |||
| 2161 | ✗ | void ElementMatrix::phi_i_dot_t_phi_j_dot_t(const double coef, const CurvilinearFiniteElement& fe, const std::size_t iblock, const std::size_t jblock, const int numComp) | |
| 2162 | { | ||
| 2163 | // IGNORE_UNUSED_ARGUMENT(numComp); | ||
| 2164 | |||
| 2165 | ✗ | m_tmpMat.clear(); | |
| 2166 | ✗ | for( std::size_t icoor=0 ; icoor < (std::size_t) fe.numCoor() ; icoor++ ) { | |
| 2167 | ✗ | for( std::size_t jcoor=0 ; jcoor < (std::size_t) fe.numCoor() ; jcoor++ ) { | |
| 2168 | |||
| 2169 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock+jcoor); | |
| 2170 | |||
| 2171 | ✗ | for( std::size_t ig=0; ig < (std::size_t) fe.numQuadraturePoint(); ig++ ) { | |
| 2172 | |||
| 2173 | ✗ | for( std::size_t idof=0 ; idof < (std::size_t) fe.numDof() ; idof++ ) { | |
| 2174 | ✗ | for( std::size_t jdof=0 ; jdof < (std::size_t) fe.numDof() ; jdof++ ) { | |
| 2175 | |||
| 2176 | ✗ | for( int ic=0 ; ic < numComp ; ic++ ) { | |
| 2177 | // coef * (phi_i \cdot \t_icoor) * (phi_j \cdot \t_jcoor) | ||
| 2178 | ✗ | tmpBlock(idof,jdof) += coef * fe.weightMeas(ig) * fe.tangent[ig](ic,icoor) * fe.phi[ig](idof) * fe.tangent[ig](ic,jcoor) * fe.phi[ig](jdof); | |
| 2179 | } | ||
| 2180 | } | ||
| 2181 | } | ||
| 2182 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); | |
| 2183 | ✗ | matrix += tmpBlock; | |
| 2184 | } | ||
| 2185 | } | ||
| 2186 | } | ||
| 2187 | } | ||
| 2188 | |||
| 2189 | /***********************************************************************************/ | ||
| 2190 | /***********************************************************************************/ | ||
| 2191 | |||
| 2192 | ✗ | void ElementMatrix::eps_phi_j_n_dot_n_phi_i_dot_n(const double coeff, const CurrentFiniteElementWithBd& fe,int iblockBd,int numblockBd,const std::size_t iblock,const std::size_t jblock,std::size_t /*num*/) | |
| 2193 | { | ||
| 2194 | //matteo feb 14 | ||
| 2195 | ✗ | FEL_ASSERT(iblockBd>=0 && iblockBd<fe.numBdEle() && (numblockBd-iblockBd) <= fe.numBdEle() ); | |
| 2196 | ✗ | m_tmpMat.clear(); | |
| 2197 | |||
| 2198 | ✗ | for (int ibd=iblockBd; ibd<iblockBd+numblockBd; ibd++) { | |
| 2199 | ✗ | FEL_ASSERT( fe.bdEle(ibd).hasNormal() && fe.hasFirstDeriv() ); | |
| 2200 | ✗ | for( std::size_t icoor=0 ; icoor < (std::size_t) fe.numCoor() ; icoor++ ) { | |
| 2201 | ✗ | for( std::size_t jcoor=0 ; jcoor < (std::size_t) fe.numCoor() ; jcoor++ ) { | |
| 2202 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,jblock+jcoor); | |
| 2203 | //std::cout<<" nRow "<<numBlockRow()<<" nCol "<<numBlockRow()<<std::endl; | ||
| 2204 | ✗ | for( std::size_t jdof=0 ; jdof < (std::size_t) fe.numDof() ; jdof++ ) { // number of dof of the volume element | |
| 2205 | ✗ | for( std::size_t idof=0 ; idof < (std::size_t) fe.bdEle(ibd).numDof() ; idof++ ) { //number of dof of the surface element | |
| 2206 | ✗ | for( int ilocg=0; ilocg<fe.numQuadPointBdEle(ibd); ilocg++) { | |
| 2207 | ✗ | int ig = ilocg+fe.indexQuadPoint(ibd+1); // face ibd starts at ibd+1 (0 for internal quad points) | |
| 2208 | ✗ | for( std::size_t jaux=0 ; jaux < (std::size_t) fe.numCoor() ; jaux++ ) { | |
| 2209 | //std::cout<<"(i,j) ("<<idof<<","<<jdof<<")"<<std::endl; | ||
| 2210 | ✗ | tmpBlock(idof,jdof) += coeff * fe.bdEle(ibd).weightMeas(ilocg) * fe.dPhi[ig](jaux,jdof) * fe.bdEle(ibd).normal[ilocg](jaux) | |
| 2211 | ✗ | * fe.bdEle(ibd).normal[ilocg](jcoor) * fe.bdEle(ibd).normal[ilocg](icoor) * fe.bdEle(ibd).phi[ilocg](idof); | |
| 2212 | } | ||
| 2213 | } | ||
| 2214 | } | ||
| 2215 | } | ||
| 2216 | //std::cout << " tmpBlock " << tmpBlock << std::endl; | ||
| 2217 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+jcoor); | |
| 2218 | ✗ | matrix += tmpBlock; | |
| 2219 | } | ||
| 2220 | } | ||
| 2221 | } | ||
| 2222 | } | ||
| 2223 | |||
| 2224 | /***********************************************************************************/ | ||
| 2225 | /***********************************************************************************/ | ||
| 2226 | |||
| 2227 | ✗ | void ElementMatrix::psi_j_phi_i_dot_n(const double coeff,const CurvilinearFiniteElement& feVel, const CurvilinearFiniteElement& fePres,const std::size_t iblock,std::size_t presBlock,std::size_t /*num*/) | |
| 2228 | { | ||
| 2229 | // Matteo feb 14 | ||
| 2230 | ✗ | m_tmpMat.clear(); | |
| 2231 | ✗ | for( std::size_t icoor=0 ; icoor < (std::size_t) feVel.numCoor() ; icoor++ ) { | |
| 2232 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,presBlock); | |
| 2233 | ✗ | for( std::size_t idof=0 ; idof < (std::size_t) feVel.numDof() ; idof++ ) { | |
| 2234 | ✗ | for( std::size_t jdof=0 ; jdof < (std::size_t) fePres.numDof() ; jdof++ ) { | |
| 2235 | ✗ | for( std::size_t ig=0; ig < (std::size_t) feVel.numQuadraturePoint(); ig++ ) { | |
| 2236 | ✗ | tmpBlock(idof,jdof) += coeff * feVel.weightMeas(ig) * feVel.normal[ig](icoor) * feVel.phi[ig](idof) * fePres.phi[ig](jdof); | |
| 2237 | } | ||
| 2238 | } | ||
| 2239 | } | ||
| 2240 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,presBlock); | |
| 2241 | ✗ | matrix += tmpBlock; | |
| 2242 | } | ||
| 2243 | } | ||
| 2244 | |||
| 2245 | /***********************************************************************************/ | ||
| 2246 | /***********************************************************************************/ | ||
| 2247 | |||
| 2248 | //this type of elementmatrix is rectangular and it is used in EmbedFSI boundary condition (matteo feb 2014) | ||
| 2249 | ✗ | ElementMatrix::ElementMatrix(const CurBaseFiniteElement& feVel1, const CurBaseFiniteElement& feVel2, std::size_t nbr1, std::size_t nbc1, | |
| 2250 | ✗ | const CurBaseFiniteElement& fePres, std::size_t nbr2, std::size_t nbc2) : | |
| 2251 | ✗ | m_mat( feVel2.numDof()*nbr1 + fePres.numDof()*nbr2, feVel1.numDof()*nbc1 + fePres.numDof()*nbc2 ), | |
| 2252 | ✗ | m_tmpMat( feVel2.numDof()*nbr1 + fePres.numDof()*nbr2, feVel1.numDof()*nbc1 + fePres.numDof()*nbc2 ) | |
| 2253 | { | ||
| 2254 | |||
| 2255 | // | ||
| 2256 | ✗ | m_numRow.resize( nbr1 + nbr2 ); | |
| 2257 | ✗ | m_firstRow.resize( nbr1 + nbr2 ); | |
| 2258 | ✗ | m_numCol.resize( nbc1 + nbc2 ); | |
| 2259 | ✗ | m_firstCol.resize( nbc1 + nbc2 ); | |
| 2260 | // | ||
| 2261 | ✗ | std::size_t first=0; | |
| 2262 | ✗ | for (std::size_t n=0; n<nbr1; n++) { | |
| 2263 | ✗ | m_numRow[ n ]=feVel2.numDof(); | |
| 2264 | ✗ | m_firstRow[ n ]=first; | |
| 2265 | ✗ | first += feVel2.numDof(); | |
| 2266 | } | ||
| 2267 | ✗ | for (std::size_t n=nbr1; n<nbr1+nbr2; n++) { | |
| 2268 | ✗ | m_numRow[ n ]=fePres.numDof(); | |
| 2269 | ✗ | m_firstRow[ n ]=first; | |
| 2270 | ✗ | first += fePres.numDof(); | |
| 2271 | } | ||
| 2272 | // | ||
| 2273 | ✗ | first=0; | |
| 2274 | ✗ | for (std::size_t n=0; n<nbc1; n++) { | |
| 2275 | ✗ | m_numCol[ n ]=feVel1.numDof(); | |
| 2276 | ✗ | m_firstCol[ n ]=first; | |
| 2277 | ✗ | first += feVel1.numDof(); | |
| 2278 | } | ||
| 2279 | ✗ | for (std::size_t n=nbc1; n<nbc1 + nbc2; n++) { | |
| 2280 | ✗ | m_numCol[ n ]=fePres.numDof(); | |
| 2281 | ✗ | m_firstCol[ n ]=first; | |
| 2282 | ✗ | first += fePres.numDof(); | |
| 2283 | } | ||
| 2284 | ✗ | m_mat.clear(); | |
| 2285 | ✗ | m_tmpMat.clear(); | |
| 2286 | } | ||
| 2287 | |||
| 2288 | /***********************************************************************************/ | ||
| 2289 | /***********************************************************************************/ | ||
| 2290 | |||
| 2291 | 193677 | void ElementMatrix::psi_j_phi_i_dot_n_on_nodes( const double coeff, const ElementField& normal, const CurvilinearFiniteElement& feVel, const CurvilinearFiniteElement& fePres,const std::size_t iblock,std::size_t presBlock) | |
| 2292 | { | ||
| 2293 |
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193677 | FEL_ASSERT( normal.type() == DOF_FIELD ); |
| 2294 | |||
| 2295 | 193677 | m_tmpMat.clear(); | |
| 2296 |
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774468 | for( std::size_t icoor=0 ; icoor < (std::size_t) feVel.numCoor() ; icoor++ ) { |
| 2297 |
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580791 | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat,iblock+icoor,presBlock); |
| 2298 |
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2322684 | for( std::size_t idof=0 ; idof < (std::size_t) feVel.numDof() ; idof++ ) { |
| 2299 |
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6966612 | for( std::size_t jdof=0 ; jdof < (std::size_t) fePres.numDof() ; jdof++ ) { |
| 2300 |
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36567273 | for( std::size_t ig=0; ig < (std::size_t) feVel.numQuadraturePoint(); ig++ ) { |
| 2301 |
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|
31342554 | tmpBlock(idof,jdof) += coeff * feVel.weightMeas(ig) * normal.val( icoor, jdof ) * feVel.phi[ig](idof) * fePres.phi[ig](jdof); |
| 2302 | } | ||
| 2303 | } | ||
| 2304 | } | ||
| 2305 |
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580791 | UBlasMatrixRange matrix = matBlock(iblock+icoor,presBlock); |
| 2306 |
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|
580791 | matrix += tmpBlock; |
| 2307 | 580791 | } | |
| 2308 | 193677 | } | |
| 2309 | |||
| 2310 | /***********************************************************************************/ | ||
| 2311 | /***********************************************************************************/ | ||
| 2312 | |||
| 2313 | ✗ | void ElementMatrix::sGrad_psi_j_tensor_sGrad_phi_i(const double coef, const ElementField& normalField, const CurvilinearFiniteElement& fe, const UBlasMatrix& tensor) | |
| 2314 | { | ||
| 2315 | ✗ | for ( int solLocDof(0); solLocDof < fe.numDof(); solLocDof++) { | |
| 2316 | ✗ | UBlasVector gradSol(2); | |
| 2317 | ✗ | gradSol=Curvatures::testFuncGradient(solLocDof); | |
| 2318 | |||
| 2319 | ✗ | UBlasVector KgradSol(2); | |
| 2320 | ✗ | KgradSol(0)=0.; | |
| 2321 | ✗ | KgradSol(1)=0.; | |
| 2322 | ✗ | KgradSol = prod(tensor, gradSol ); | |
| 2323 | |||
| 2324 | ✗ | for ( int testLocDof(0); testLocDof < fe.numDof(); testLocDof++) { | |
| 2325 | |||
| 2326 | ✗ | UBlasVector gradTest(2); | |
| 2327 | ✗ | gradTest=Curvatures::testFuncGradient(testLocDof); | |
| 2328 | |||
| 2329 | ✗ | double val = coef*inner_prod(KgradSol, gradTest) * fe.measure(); //TODO only P1! we should integrate, but gradient is constant over the element | |
| 2330 | ✗ | for ( int solCoor(0); solCoor < fe.numCoor(); solCoor++) { | |
| 2331 | ✗ | for ( int testCoor(0); testCoor < fe.numCoor(); testCoor++) { | |
| 2332 | ✗ | double value = val* normalField.val(testCoor,testLocDof)* normalField.val(solCoor,testLocDof); | |
| 2333 | ✗ | UBlasMatrixRange matrix = matBlock(solCoor,testCoor); | |
| 2334 | ✗ | matrix(solLocDof,testLocDof) += value; | |
| 2335 | } | ||
| 2336 | } | ||
| 2337 | } | ||
| 2338 | } | ||
| 2339 | } | ||
| 2340 | |||
| 2341 | /***********************************************************************************/ | ||
| 2342 | /***********************************************************************************/ | ||
| 2343 | |||
| 2344 | ✗ | void ElementMatrix::sGrad_psi_j_tensor_sGrad_phi_i_for_scalar(const double coef, const CurvilinearFiniteElement& fe, const UBlasMatrix& tensor, const std::size_t blockId) | |
| 2345 | { | ||
| 2346 | ✗ | for ( int solLocDof(0); solLocDof < fe.numDof(); solLocDof++) { | |
| 2347 | ✗ | UBlasVector gradSol(2); | |
| 2348 | ✗ | gradSol=Curvatures::testFuncGradient(solLocDof); | |
| 2349 | ✗ | UBlasVector KgradSol(2); | |
| 2350 | ✗ | KgradSol(0)=0.; | |
| 2351 | ✗ | KgradSol(1)=0.; | |
| 2352 | ✗ | KgradSol = prod(tensor, gradSol ); | |
| 2353 | ✗ | for ( int testLocDof(0); testLocDof < fe.numDof(); testLocDof++) { | |
| 2354 | ✗ | UBlasVector gradTest(2); | |
| 2355 | ✗ | gradTest=Curvatures::testFuncGradient(testLocDof); | |
| 2356 | ✗ | double val = coef*inner_prod(KgradSol, gradTest) * fe.measure(); //TODO only P1! we should integrate, but gradient is constant over the element | |
| 2357 | ✗ | UBlasMatrixRange matrix = matBlock(blockId,blockId); | |
| 2358 | ✗ | matrix(solLocDof,testLocDof) += val; | |
| 2359 | } | ||
| 2360 | } | ||
| 2361 | } | ||
| 2362 | |||
| 2363 | /***********************************************************************************/ | ||
| 2364 | /***********************************************************************************/ | ||
| 2365 | |||
| 2366 | 931737 | void ElementMatrix::sGrad_psi_j_tensor_sGrad_phi_i(const double coef, const ElementField& elemCoef, const ElementField& normalField, const CurvilinearFiniteElement& fe, const UBlasMatrix& tensor) | |
| 2367 | { | ||
| 2368 |
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931737 | switch(elemCoef.type()) { |
| 2369 | 931737 | case DOF_FIELD: | |
| 2370 |
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6522159 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 2371 |
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|
5590422 | m_tmpVecCoor = prod(elemCoef.val,fe.phi[ig]); |
| 2372 | 5590422 | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0); | |
| 2373 | } | ||
| 2374 | 931737 | break; | |
| 2375 | ✗ | case CONSTANT_FIELD: | |
| 2376 | case QUAD_POINT_FIELD: | ||
| 2377 | ✗ | FEL_ERROR("this case has not been implemented"); | |
| 2378 | break; | ||
| 2379 | } | ||
| 2380 | |||
| 2381 |
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3726948 | for ( int solLocDof(0); solLocDof < fe.numDof(); solLocDof++) { |
| 2382 |
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2795211 | UBlasVector gradSol(2); |
| 2383 |
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2795211 | gradSol=Curvatures::testFuncGradient(solLocDof); |
| 2384 | |||
| 2385 |
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2795211 | UBlasVector KgradSol(2); |
| 2386 |
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2795211 | KgradSol(0)=0.; |
| 2387 |
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2795211 | KgradSol(1)=0.; |
| 2388 |
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2795211 | KgradSol = prod(tensor, gradSol ); |
| 2389 | |||
| 2390 |
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11180844 | for ( int testLocDof(0); testLocDof < fe.numDof(); testLocDof++) { |
| 2391 |
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8385633 | UBlasVector gradTest(2); |
| 2392 |
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8385633 | gradTest=Curvatures::testFuncGradient(testLocDof); |
| 2393 | |||
| 2394 | 8385633 | double val = 0.0; | |
| 2395 |
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58699431 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) |
| 2396 |
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50313798 | val += coef * m_tmpVecQuadPoint(ig) * inner_prod(KgradSol, gradTest) * fe.weightMeas(ig); //TODO only P1! we should integrate, but gradient is constant over the element |
| 2397 |
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33542532 | for ( int solCoor(0); solCoor < fe.numCoor(); solCoor++) { |
| 2398 |
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100627596 | for ( int testCoor(0); testCoor < fe.numCoor(); testCoor++) { |
| 2399 |
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75470697 | double value = val* normalField.val(testCoor,testLocDof)* normalField.val(solCoor,testLocDof); |
| 2400 |
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75470697 | UBlasMatrixRange matrix = matBlock(solCoor,testCoor); |
| 2401 |
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75470697 | matrix(solLocDof,testLocDof) += value; |
| 2402 | 75470697 | } | |
| 2403 | } | ||
| 2404 | 8385633 | } | |
| 2405 | 2795211 | } | |
| 2406 | 931737 | } | |
| 2407 | |||
| 2408 | /***********************************************************************************/ | ||
| 2409 | /***********************************************************************************/ | ||
| 2410 | |||
| 2411 | ✗ | void ElementMatrix::dpsi_j_dh_psi_i(const double coef, const CurrentFiniteElement& fei,const CurrentFiniteElement& fej,std::size_t h, const std::size_t iblock, const std::size_t jblock) | |
| 2412 | { | ||
| 2413 | ✗ | m_tmpMat.clear(); | |
| 2414 | |||
| 2415 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2416 | ✗ | for(int ig=0; ig<fei.numQuadraturePoint(); ig++) { | |
| 2417 | ✗ | for(int idof=0; idof<fei.numDof(); idof++) { | |
| 2418 | ✗ | for(int jdof=0; jdof<fej.numDof(); jdof++) { | |
| 2419 | ✗ | tmpBlock(idof,jdof) += coef*fei.weightMeas(ig) * fei.phi[ig](idof) * fej.dPhi[ig](h,jdof); | |
| 2420 | } | ||
| 2421 | } | ||
| 2422 | } | ||
| 2423 | ✗ | UBlasMatrixRange block = matBlock(iblock,jblock); | |
| 2424 | ✗ | block+=tmpBlock; | |
| 2425 | } | ||
| 2426 | |||
| 2427 | /***********************************************************************************/ | ||
| 2428 | /***********************************************************************************/ | ||
| 2429 | |||
| 2430 | 193437 | void ElementMatrix::transpirationSurfStab( const double coef, const ElementField& elemCoef, const ElementField& normalField, const CurvilinearFiniteElement& fe, const UBlasMatrix& tensor) | |
| 2431 | { | ||
| 2432 | // Tensor is supposed to be the inverse matric tensor | ||
| 2433 | // TODO compute directly it from fe! | ||
| 2434 |
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193437 | switch(elemCoef.type()) { |
| 2435 | 193437 | case DOF_FIELD: | |
| 2436 |
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1354059 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 2437 |
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|
1160622 | m_tmpVecCoor = prod(elemCoef.val,fe.phi[ig]); |
| 2438 | 1160622 | m_tmpVecQuadPoint(ig) = m_tmpVecCoor(0)*coef; | |
| 2439 | } | ||
| 2440 | 193437 | break; | |
| 2441 | ✗ | case CONSTANT_FIELD: | |
| 2442 | case QUAD_POINT_FIELD: | ||
| 2443 | ✗ | FEL_ERROR("this case has not been implemented"); | |
| 2444 | break; | ||
| 2445 | } | ||
| 2446 | |||
| 2447 | // Only P1 | ||
| 2448 | 193437 | double coeffQuad = 0.0; | |
| 2449 |
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1354059 | for(int ig=0; ig<fe.numQuadraturePoint(); ig++) { |
| 2450 | 1160622 | coeffQuad += m_tmpVecQuadPoint(ig) * fe.weightMeas(ig) * fe.diameter() ; | |
| 2451 | } | ||
| 2452 | |||
| 2453 |
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|
773748 | for ( int solLocDof(0); solLocDof < fe.numDof(); solLocDof++) { |
| 2454 |
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2321244 | for ( int testLocDof(0); testLocDof < fe.numDof(); testLocDof++) { |
| 2455 | // Computation of (\nabla_c\phi_test)^T A^-1 \nabla_c\phi_sol | ||
| 2456 |
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1740933 | UBlasVector gradSol(2); |
| 2457 |
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1740933 | UBlasVector gradTest(2); |
| 2458 |
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1740933 | UBlasVector KgradSol(2); |
| 2459 |
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1740933 | KgradSol(0)=0.; |
| 2460 |
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1740933 | KgradSol(1)=0.; |
| 2461 |
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1740933 | gradSol = Curvatures::testFuncGradient(solLocDof); |
| 2462 |
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1740933 | gradTest = Curvatures::testFuncGradient(testLocDof); |
| 2463 |
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1740933 | KgradSol = prod(tensor, gradSol ); |
| 2464 | |||
| 2465 |
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1740933 | const double lap = inner_prod(KgradSol, gradTest); |
| 2466 | |||
| 2467 |
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6963732 | for ( int solCoor(0); solCoor < fe.numCoor(); solCoor++) { |
| 2468 |
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20891196 | for ( int testCoor(0); testCoor < fe.numCoor(); testCoor++) { |
| 2469 | |||
| 2470 | 15668397 | double projCoef = 0; | |
| 2471 |
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62673588 | for ( int ausCoor(0); ausCoor < fe.numCoor(); ++ausCoor ) { |
| 2472 | 47005191 | double deltaTest(0), deltaSol(0); | |
| 2473 |
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47005191 | if ( solCoor - ausCoor == 0 ) |
| 2474 | 15668397 | deltaSol = 1; | |
| 2475 |
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47005191 | if ( testCoor - ausCoor == 0 ) |
| 2476 | 15668397 | deltaTest = 1; | |
| 2477 | // setting normnorm | ||
| 2478 |
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47005191 | double normnormSol = normalField.val( solCoor, solLocDof)*normalField.val(ausCoor, solLocDof); |
| 2479 |
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47005191 | double normnormTest = normalField.val(testCoor,testLocDof)*normalField.val(ausCoor,testLocDof); |
| 2480 | 47005191 | projCoef += ( deltaSol - normnormSol ) * ( deltaTest - normnormTest ); | |
| 2481 | } | ||
| 2482 | |||
| 2483 | 15668397 | const double value = projCoef * lap * coeffQuad; | |
| 2484 | |||
| 2485 |
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15668397 | UBlasMatrixRange matrix = matBlock(solCoor,testCoor); |
| 2486 |
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15668397 | matrix(solLocDof,testLocDof) += value; |
| 2487 | 15668397 | } | |
| 2488 | } | ||
| 2489 | 1740933 | } | |
| 2490 | } | ||
| 2491 | 193437 | } | |
| 2492 | |||
| 2493 | /***********************************************************************************/ | ||
| 2494 | /***********************************************************************************/ | ||
| 2495 | |||
| 2496 | ✗ | void ElementMatrix::velocityConstraint(const double coef, const ElementField& disp, const CurvilinearFiniteElement& fe, int iblock) | |
| 2497 | { | ||
| 2498 | ✗ | FEL_CHECK(fe.hasMeas() ,"ElementMatrix::velocityConstraint: requires covariant basis"); | |
| 2499 | ✗ | FEL_CHECK(disp.type() == DOF_FIELD,"ElementMatrix::velocityConstraint: wrong displacement field type"); | |
| 2500 | |||
| 2501 | ✗ | const UBlasMatrix& d = disp.val; | |
| 2502 | |||
| 2503 | ✗ | UBlasMatrix cbasis(fe.numRefCoor(),fe.numCoor()); // covariant basis in current configuation | |
| 2504 | ✗ | UBlasVector n(fe.numCoor()); // normal std::vector, not unitary | |
| 2505 | |||
| 2506 | double sum; | ||
| 2507 | |||
| 2508 | // loop on quadrature points | ||
| 2509 | ✗ | for (int iq=0; iq < fe.numQuadraturePoint(); ++iq) { | |
| 2510 | // covariant basis in current configuratgion | ||
| 2511 | ✗ | for (int ir=0; ir < fe.numRefCoor(); ++ir) { | |
| 2512 | ✗ | for (int ic=0; ic <fe.numCoor(); ++ic) { | |
| 2513 | ✗ | cbasis(ir,ic) = fe.m_covBasis[iq](ir,ic); | |
| 2514 | ✗ | for(int idof=0; idof< fe.numDof(); idof++) | |
| 2515 | ✗ | cbasis(ir,ic) += d(ic,idof)*fe.dPhiRef(iq)(ir,idof); | |
| 2516 | } | ||
| 2517 | } | ||
| 2518 | |||
| 2519 | ✗ | switch ( fe.numRefCoor() ) { // Warning: must be as in CurvilinearFiniteElement::computeNormal() | |
| 2520 | ✗ | case 1: | |
| 2521 | ✗ | n(0) = cbasis(0,1); | |
| 2522 | ✗ | n(1) = - cbasis(0,0); | |
| 2523 | ✗ | break; | |
| 2524 | ✗ | case 2: | |
| 2525 | ✗ | n(0) = fe.m_sign * ( cbasis(0,1) * cbasis(1,2) - cbasis(0,2)*cbasis(1,1) ); | |
| 2526 | ✗ | n(1) = fe.m_sign * ( cbasis(0,2) * cbasis(1,0) - cbasis(0,0)*cbasis(1,2) ); | |
| 2527 | ✗ | n(2) = fe.m_sign * ( cbasis(0,0) * cbasis(1,1) - cbasis(0,1)*cbasis(1,0) ); | |
| 2528 | ✗ | break; | |
| 2529 | ✗ | default: | |
| 2530 | ✗ | FEL_ERROR("ElementMatrix::velocityConstraint numRefCoor must be 1 or 2"); | |
| 2531 | } | ||
| 2532 | |||
| 2533 | // Update elementary matrix | ||
| 2534 | ✗ | for (int ic=0; ic < fe.numCoor(); ++ic) { | |
| 2535 | ✗ | UBlasMatrixRange matrix1 = matBlock(ic,iblock); | |
| 2536 | ✗ | UBlasMatrixRange matrix2 = matBlock(iblock,ic); | |
| 2537 | ✗ | for(int idof=0 ; idof < fe.numDof() ; ++idof) { | |
| 2538 | ✗ | sum = fe.quadratureRule().weight(iq) * n(ic) * fe.phi[iq](idof); | |
| 2539 | ✗ | matrix1(idof,0) += coef*sum; | |
| 2540 | ✗ | matrix2(0,idof) += coef*sum; | |
| 2541 | } | ||
| 2542 | } | ||
| 2543 | } | ||
| 2544 | } | ||
| 2545 | |||
| 2546 | /***********************************************************************************/ | ||
| 2547 | /***********************************************************************************/ | ||
| 2548 | |||
| 2549 | ✗ | void ElementMatrix::followerPressure(const double coef, const ElementField& press, const ElementField& disp, const CurvilinearFiniteElement& fe) | |
| 2550 | { | ||
| 2551 | ✗ | FEL_CHECK(fe.hasMeas() ,"ElementMatrix::followerPressure: requires covariant basis"); | |
| 2552 | ✗ | FEL_CHECK(disp.type() == DOF_FIELD,"ElementMatrix::followerPressure: wrong displacement field type"); | |
| 2553 | ✗ | FEL_CHECK(press.numComp() == 1,"ElementMatrix::followerPressure: wrong pressure field"); | |
| 2554 | |||
| 2555 | ✗ | const UBlasMatrix& d = disp.val; | |
| 2556 | |||
| 2557 | ✗ | UBlasMatrix cbasis(fe.numRefCoor(),fe.numCoor()); // covariant basis in current configuation | |
| 2558 | ✗ | UBlasVector n(fe.numCoor()); // normal std::vector, not unitary | |
| 2559 | ✗ | UBlasVector patq(fe.numQuadraturePoint()); // pressure at quadrature poins | |
| 2560 | ✗ | std::vector<UBlasMatrix> A(fe.numRefCoor()); | |
| 2561 | ✗ | for (int ir=0; ir<fe.numRefCoor(); ++ir) { | |
| 2562 | ✗ | A[ir].resize(fe.numCoor(),fe.numCoor()); | |
| 2563 | ✗ | A[ir].clear(); | |
| 2564 | } | ||
| 2565 | double tmp; | ||
| 2566 | |||
| 2567 | // evaluate pressure at quadrature points | ||
| 2568 | ✗ | switch(press.type()) { | |
| 2569 | ✗ | case CONSTANT_FIELD: | |
| 2570 | ✗ | for(int iq=0; iq<fe.numQuadraturePoint(); ++iq) | |
| 2571 | ✗ | patq(iq) = press.val(0,0); | |
| 2572 | ✗ | break; | |
| 2573 | ✗ | case QUAD_POINT_FIELD: | |
| 2574 | ✗ | for(int iq=0; iq<fe.numQuadraturePoint(); ++iq) | |
| 2575 | ✗ | patq(iq) = press.val(0,iq); | |
| 2576 | ✗ | break; | |
| 2577 | ✗ | case DOF_FIELD: | |
| 2578 | ✗ | for(int iq=0; iq<fe.numQuadraturePoint(); ++iq) { | |
| 2579 | ✗ | patq(iq) = 0.; | |
| 2580 | ✗ | for(int idof=0; idof<fe.numDof(); ++idof) | |
| 2581 | ✗ | patq(iq) += fe.phi[iq](idof) * press.val(0,idof); | |
| 2582 | } | ||
| 2583 | ✗ | break; | |
| 2584 | ✗ | default: | |
| 2585 | ✗ | FEL_ERROR("this pressure element field type has not been implemented"); | |
| 2586 | } | ||
| 2587 | |||
| 2588 | // loop on quadrature points | ||
| 2589 | ✗ | for (int iq=0; iq < fe.numQuadraturePoint(); ++iq) { | |
| 2590 | |||
| 2591 | // covariant basis in current configuratgion | ||
| 2592 | ✗ | for (int ir=0; ir < fe.numRefCoor(); ++ir) { | |
| 2593 | ✗ | for (int ic=0; ic <fe.numCoor(); ++ic) { | |
| 2594 | ✗ | cbasis(ir,ic) = fe.m_covBasis[iq](ir,ic); | |
| 2595 | ✗ | for(int idof=0; idof< fe.numDof(); idof++) | |
| 2596 | ✗ | cbasis(ir,ic) += d(ic,idof)*fe.dPhiRef(iq)(ir,idof); | |
| 2597 | } | ||
| 2598 | } | ||
| 2599 | |||
| 2600 | ✗ | switch ( fe.numRefCoor() ) { | |
| 2601 | ✗ | case 1: | |
| 2602 | ✗ | A[0](0,1) = 1; | |
| 2603 | ✗ | A[0](1,0) = -1; | |
| 2604 | ✗ | break; | |
| 2605 | ✗ | case 2: | |
| 2606 | // - A1 | ||
| 2607 | ✗ | A[1](1,0) = cbasis(0,2); | |
| 2608 | ✗ | A[1](2,0) = - cbasis(0,1); | |
| 2609 | ✗ | A[1](0,1) = - cbasis(0,2); | |
| 2610 | ✗ | A[1](2,1) = cbasis(0,0); | |
| 2611 | ✗ | A[1](0,2) = cbasis(0,1); | |
| 2612 | ✗ | A[1](1,2) = - cbasis(0,0); | |
| 2613 | ✗ | A[1] *= fe.m_sign; | |
| 2614 | // A2 | ||
| 2615 | ✗ | A[0](1,0) = - cbasis(1,2); | |
| 2616 | ✗ | A[0](2,0) = cbasis(1,1); | |
| 2617 | ✗ | A[0](0,1) = cbasis(1,2); | |
| 2618 | ✗ | A[0](2,1) = - cbasis(1,0); | |
| 2619 | ✗ | A[0](0,2) = - cbasis(1,1); | |
| 2620 | ✗ | A[0](1,2) = cbasis(1,0); | |
| 2621 | ✗ | A[0] *= fe.m_sign; | |
| 2622 | ✗ | break; | |
| 2623 | ✗ | default: | |
| 2624 | ✗ | FEL_ERROR("ElementMatrix::followerPressure: numRefCoor must be 1 or 2"); | |
| 2625 | } | ||
| 2626 | |||
| 2627 | ✗ | for (int ic=0; ic < fe.numCoor(); ++ic) | |
| 2628 | ✗ | for (int jc=0; jc < fe.numCoor(); ++jc) { | |
| 2629 | ✗ | UBlasMatrixRange mat = matBlock(ic,jc); | |
| 2630 | ✗ | for (int ir=0; ir < fe.numRefCoor(); ++ir) { | |
| 2631 | ✗ | tmp = coef*patq(iq)*A[ir](ic,jc)*fe.quadratureRule().weight(iq); | |
| 2632 | ✗ | for(int idof=0; idof< fe.numDof(); idof++) | |
| 2633 | ✗ | for(int jdof=0; jdof< fe.numDof(); jdof++) | |
| 2634 | ✗ | mat(idof,jdof) += tmp * fe.dPhiRef(iq)(ir,jdof) * fe.phi[iq](idof); | |
| 2635 | } | ||
| 2636 | } | ||
| 2637 | } | ||
| 2638 | } | ||
| 2639 | |||
| 2640 | /***********************************************************************************/ | ||
| 2641 | /***********************************************************************************/ | ||
| 2642 | |||
| 2643 | ✗ | void ElementMatrix::psi_j_phi_i(const double coef, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const std::size_t iblock, const std::size_t jblock,const std::size_t num) | |
| 2644 | { | ||
| 2645 | // check that the number of integration point is the same | ||
| 2646 | ✗ | FEL_ASSERT(fePhi.numQuadraturePoint() == fePsi.numQuadraturePoint()); | |
| 2647 | |||
| 2648 | ✗ | m_tmpMat.clear(); | |
| 2649 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2650 | ✗ | for(int ig=0; ig<fePhi.numQuadraturePoint(); ig++) { | |
| 2651 | ✗ | tmpBlock += ( coef * fePhi.weightMeas(ig) ) * outer_prod(fePhi.phi[ig], fePsi.phi[ig]); | |
| 2652 | } | ||
| 2653 | |||
| 2654 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 2655 | ✗ | UBlasMatrixRange matrix = matBlock(iblock+icoor,jblock+icoor); | |
| 2656 | ✗ | matrix += tmpBlock; | |
| 2657 | } | ||
| 2658 | } | ||
| 2659 | |||
| 2660 | /***********************************************************************************/ | ||
| 2661 | /***********************************************************************************/ | ||
| 2662 | |||
| 2663 | ✗ | void ElementMatrix::psi_j_eps_phi_i_dot_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 2664 | { | ||
| 2665 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "psi_j_eps_phi_i_dot_vec is not implemented for this type of vec"); | |
| 2666 | ✗ | for(std::size_t icoor=0; icoor<num; ++icoor) { | |
| 2667 | ✗ | for(std::size_t jcoor=0; jcoor<num; ++jcoor) { | |
| 2668 | ✗ | m_tmpMat.clear(); | |
| 2669 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2670 | |||
| 2671 | ✗ | if(icoor == jcoor) { | |
| 2672 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2673 | ✗ | for(felInt jdof=0; jdof<fePhi.numDof(); ++jdof) | |
| 2674 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2675 | ✗ | for(felInt kcoor=0; kcoor<fePhi.numRefCoor(); ++kcoor) | |
| 2676 | ✗ | tmpblock(idof, jdof) += 0.5 * coef * fePhi.dPhi[ig](kcoor, idof) * vec.val(kcoor, 0) * fePsi.phi[ig](jdof) * fePhi.weightMeas(ig); | |
| 2677 | } | ||
| 2678 | |||
| 2679 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2680 | ✗ | for(felInt jdof=0; jdof<fePhi.numDof(); ++jdof) | |
| 2681 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2682 | ✗ | tmpblock(idof, jdof) += 0.5 * coef * fePhi.dPhi[ig](icoor, idof) * vec.val(icoor, 0) * fePsi.phi[ig](jdof) * fePhi.weightMeas(ig); | |
| 2683 | |||
| 2684 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); | |
| 2685 | ✗ | matrix += tmpblock; | |
| 2686 | } | ||
| 2687 | } | ||
| 2688 | } | ||
| 2689 | |||
| 2690 | /***********************************************************************************/ | ||
| 2691 | /***********************************************************************************/ | ||
| 2692 | |||
| 2693 | ✗ | void ElementMatrix::psi_j_grad_phi_i_dot_vec(const double coef, const ElementField& vec, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 2694 | { | ||
| 2695 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "psi_j_grad_phi_i_dot_vec is not implemented for this type of vec"); | |
| 2696 | |||
| 2697 | ✗ | m_tmpMat.clear(); | |
| 2698 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2699 | |||
| 2700 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2701 | ✗ | for(felInt jdof=0; jdof<fePhi.numDof(); ++jdof) | |
| 2702 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2703 | ✗ | for(felInt icoor=0; icoor<fePhi.numRefCoor(); ++icoor) | |
| 2704 | ✗ | tmpblock(idof, jdof) += coef * fePhi.dPhi[ig](icoor, idof) * vec.val(icoor, 0) * fePsi.phi[ig](jdof) * fePhi.weightMeas(ig); | |
| 2705 | |||
| 2706 | |||
| 2707 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 2708 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 2709 | ✗ | matrix += tmpblock; | |
| 2710 | } | ||
| 2711 | } | ||
| 2712 | |||
| 2713 | /***********************************************************************************/ | ||
| 2714 | /***********************************************************************************/ | ||
| 2715 | |||
| 2716 | ✗ | void ElementMatrix::eps_psi_j_dot_vec_phi_i(const double coef, const ElementField& vec, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 2717 | { | ||
| 2718 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "eps_psi_j_dot_vec_phi_i is not implemented for this type of vec"); | |
| 2719 | |||
| 2720 | ✗ | for(std::size_t icoor=0; icoor<num; ++icoor) { | |
| 2721 | ✗ | for(std::size_t jcoor=0; jcoor<num; ++jcoor) { | |
| 2722 | ✗ | m_tmpMat.clear(); | |
| 2723 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2724 | |||
| 2725 | ✗ | if(icoor == jcoor) { | |
| 2726 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2727 | ✗ | for(felInt jdof=0; jdof<fePsi.numDof(); ++jdof) | |
| 2728 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2729 | ✗ | for(felInt kcoor=0; kcoor<fePhi.numRefCoor(); ++kcoor) | |
| 2730 | ✗ | tmpblock(idof, jdof) += 0.5 * coef * fePsi.dPhi[ig](kcoor, jdof) * vec.val(kcoor, 0) * fePhi.phi[ig](idof) * fePhi.weightMeas(ig); | |
| 2731 | } | ||
| 2732 | |||
| 2733 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2734 | ✗ | for(felInt jdof=0; jdof<fePhi.numDof(); ++jdof) | |
| 2735 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2736 | ✗ | tmpblock(idof, jdof) += 0.5 * coef * fePsi.dPhi[ig](icoor, jdof) * vec.val(jcoor, 0) * fePhi.phi[ig](idof) * fePhi.weightMeas(ig); | |
| 2737 | |||
| 2738 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + jcoor); | |
| 2739 | ✗ | matrix += tmpblock; | |
| 2740 | } | ||
| 2741 | } | ||
| 2742 | } | ||
| 2743 | |||
| 2744 | /***********************************************************************************/ | ||
| 2745 | /***********************************************************************************/ | ||
| 2746 | |||
| 2747 | ✗ | void ElementMatrix::grad_psi_j_dot_vec_phi_i(const double coef, const ElementField& vec, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const std::size_t iblock, const std::size_t jblock, const std::size_t num) | |
| 2748 | { | ||
| 2749 | ✗ | FEL_CHECK(vec.type() == CONSTANT_FIELD, "grad_psi_j_dot_vec_phi_i is not implemented for this type of vec"); | |
| 2750 | |||
| 2751 | ✗ | m_tmpMat.clear(); | |
| 2752 | ✗ | UBlasMatrixRange tmpblock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2753 | |||
| 2754 | ✗ | for(felInt idof=0; idof<fePhi.numDof(); ++idof) | |
| 2755 | ✗ | for(felInt jdof=0; jdof<fePsi.numDof(); ++jdof) | |
| 2756 | ✗ | for(felInt ig=0; ig<fePhi.numQuadraturePoint(); ++ig) | |
| 2757 | ✗ | for(felInt icoor=0; icoor<fePhi.numRefCoor(); ++icoor) | |
| 2758 | ✗ | tmpblock(idof, jdof) += coef * fePsi.dPhi[ig](icoor, jdof) * vec.val(icoor, 0) * fePhi.phi[ig](idof) * fePhi.weightMeas(ig); | |
| 2759 | |||
| 2760 | |||
| 2761 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 2762 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 2763 | ✗ | matrix += tmpblock; | |
| 2764 | } | ||
| 2765 | } | ||
| 2766 | |||
| 2767 | /***********************************************************************************/ | ||
| 2768 | /***********************************************************************************/ | ||
| 2769 | |||
| 2770 | ✗ | void ElementMatrix::f_dot_n_psi_j_phi_i(const double coef, const CurrentFiniteElement& fePhi, const CurrentFiniteElement& fePsi, const ElementField& elt_f, const ElementField& elt_n, const std::size_t iblock, const std::size_t jblock, const std::size_t num, felInt stabFlag) | |
| 2771 | { | ||
| 2772 | ✗ | m_tmpMat.clear(); | |
| 2773 | double tmp, f_dot_n; | ||
| 2774 | ✗ | UBlasMatrixRange tmpBlock = getMatBlock(m_tmpMat, iblock, jblock); | |
| 2775 | ✗ | for(int ig=0; ig<fePhi.numQuadraturePoint(); ig++) { | |
| 2776 | ✗ | f_dot_n = 0.; | |
| 2777 | ✗ | for(int icomp=0; icomp<fePhi.numCoor(); icomp++) { | |
| 2778 | ✗ | tmp = 0.; | |
| 2779 | ✗ | for(int jdof=0; jdof<fePhi.numDof(); jdof++) { | |
| 2780 | ✗ | tmp += fePhi.phi[ig](jdof) * elt_f.val(icomp, jdof); | |
| 2781 | } | ||
| 2782 | ✗ | f_dot_n += tmp * elt_n.val(icomp, 0); | |
| 2783 | } | ||
| 2784 | |||
| 2785 | ✗ | if (f_dot_n < 0 || stabFlag != 2) | |
| 2786 | ✗ | tmpBlock += f_dot_n * coef * fePhi.weightMeas(ig) * outer_prod(fePhi.phi[ig], fePsi.phi[ig]); | |
| 2787 | } | ||
| 2788 | |||
| 2789 | ✗ | for(std::size_t icoor=0; icoor<num; icoor++) { | |
| 2790 | ✗ | UBlasMatrixRange matrix = matBlock(iblock + icoor, jblock + icoor); | |
| 2791 | ✗ | matrix += tmpBlock; | |
| 2792 | } | ||
| 2793 | } | ||
| 2794 | |||
| 2795 | /***********************************************************************************/ | ||
| 2796 | /***********************************************************************************/ | ||
| 2797 | |||
| 2798 | // phi_i is the test function | ||
| 2799 | ✗ | void ElementMatrix::const_phi_i_dot_n(const double coeff,const CurvilinearFiniteElement& fePhi, const std::size_t iBlock, const std::size_t jBlock) | |
| 2800 | { | ||
| 2801 | double tmp; | ||
| 2802 | ✗ | for (int ic=0; ic<fePhi.numCoor(); ++ic) { | |
| 2803 | ✗ | UBlasMatrixRange matrix = matBlock(iBlock+ic,jBlock); | |
| 2804 | ✗ | for (int idof=0; idof<fePhi.numDof(); ++idof) { | |
| 2805 | ✗ | tmp = 0.; | |
| 2806 | ✗ | for (int iq=0; iq<fePhi.numQuadraturePoint(); ++iq) | |
| 2807 | ✗ | tmp += coeff * fePhi.weightMeas(iq) * fePhi.normal[iq](ic) * fePhi.phi[iq](idof); | |
| 2808 | |||
| 2809 | ✗ | matrix(idof,0) += tmp; | |
| 2810 | } | ||
| 2811 | } | ||
| 2812 | } | ||
| 2813 | |||
| 2814 | // const is the test function | ||
| 2815 | ✗ | void ElementMatrix::const_phi_j_dot_n(const double coeff,const CurvilinearFiniteElement& fePhi, const std::size_t iBlock, const std::size_t jBlock) | |
| 2816 | { | ||
| 2817 | double tmp; | ||
| 2818 | ✗ | for (int ic=0; ic<fePhi.numCoor(); ++ic) { | |
| 2819 | ✗ | UBlasMatrixRange matrix = matBlock(iBlock,jBlock+ic); | |
| 2820 | ✗ | for (int idof=0; idof<fePhi.numDof(); ++idof) { | |
| 2821 | ✗ | tmp = 0.; | |
| 2822 | ✗ | for (int iq=0; iq<fePhi.numQuadraturePoint(); ++iq) | |
| 2823 | ✗ | tmp += coeff * fePhi.weightMeas(iq) * fePhi.normal[iq](ic) * fePhi.phi[iq](idof); | |
| 2824 | |||
| 2825 | ✗ | matrix(0,idof) += tmp; | |
| 2826 | } | ||
| 2827 | } | ||
| 2828 | } | ||
| 2829 | |||
| 2830 | // phi_i is the test function | ||
| 2831 | ✗ | void ElementMatrix::const_phi_i(const double coeff, const CurvilinearFiniteElement& fePhi, const std::size_t iBlock, const std::size_t jBlock) | |
| 2832 | { | ||
| 2833 | double tmp; | ||
| 2834 | ✗ | UBlasMatrixRange matrix = matBlock(iBlock,jBlock); | |
| 2835 | ✗ | for (int idof=0; idof<fePhi.numDof(); ++idof) { | |
| 2836 | ✗ | tmp = 0.; | |
| 2837 | ✗ | for (int iq=0; iq<fePhi.numQuadraturePoint(); ++iq) | |
| 2838 | ✗ | tmp += coeff * fePhi.weightMeas(iq) * fePhi.phi[iq](idof); | |
| 2839 | |||
| 2840 | ✗ | matrix(idof,0) += tmp; | |
| 2841 | } | ||
| 2842 | } | ||
| 2843 | |||
| 2844 | // const is the test function | ||
| 2845 | ✗ | void ElementMatrix::const_phi_j(const double coeff,const CurvilinearFiniteElement& fePhi, const std::size_t iBlock, const std::size_t jBlock) | |
| 2846 | { | ||
| 2847 | double tmp; | ||
| 2848 | ✗ | UBlasMatrixRange matrix = matBlock(iBlock,jBlock); | |
| 2849 | ✗ | for (int idof=0; idof<fePhi.numDof(); ++idof) { | |
| 2850 | ✗ | tmp = 0.; | |
| 2851 | ✗ | for (int iq=0; iq<fePhi.numQuadraturePoint(); ++iq) | |
| 2852 | ✗ | tmp += coeff * fePhi.weightMeas(iq) * fePhi.phi[iq](idof); | |
| 2853 | |||
| 2854 | ✗ | matrix(0,idof) += tmp; | |
| 2855 | } | ||
| 2856 | } | ||
| 2857 | |||
| 2858 | |||
| 2859 | } | ||
| 2860 |