| 1 |
|
| 2 |
/* $Id$ */ |
| 3 |
|
| 4 |
/******************************************************* |
| 5 |
* |
| 6 |
* Copyright 2003-2007 by ACceSS MNRF |
| 7 |
* Copyright 2007 by University of Queensland |
| 8 |
* |
| 9 |
* http://esscc.uq.edu.au |
| 10 |
* Primary Business: Queensland, Australia |
| 11 |
* Licensed under the Open Software License version 3.0 |
| 12 |
* http://www.opensource.org/licenses/osl-3.0.php |
| 13 |
* |
| 14 |
*******************************************************/ |
| 15 |
|
| 16 |
/**************************************************************/ |
| 17 |
|
| 18 |
/* assembles the mass matrix in lumped form */ |
| 19 |
|
| 20 |
/* The coefficient D has to be defined on the integration points or not present. */ |
| 21 |
|
| 22 |
/* lumpedMat has to be initialized before the routine is called. */ |
| 23 |
|
| 24 |
/**************************************************************/ |
| 25 |
|
| 26 |
#include "Assemble.h" |
| 27 |
#include "Util.h" |
| 28 |
#ifdef _OPENMP |
| 29 |
#include <omp.h> |
| 30 |
#endif |
| 31 |
|
| 32 |
|
| 33 |
/* Disabled until the tests pass */ |
| 34 |
/* #define NEW_LUMPING */ /* */ |
| 35 |
|
| 36 |
/**************************************************************/ |
| 37 |
|
| 38 |
void Finley_Assemble_LumpedSystem(Finley_NodeFile* nodes,Finley_ElementFile* elements, escriptDataC* lumpedMat, escriptDataC* D) |
| 39 |
{ |
| 40 |
|
| 41 |
bool_t reducedIntegrationOrder=FALSE, expandedD; |
| 42 |
char error_msg[LenErrorMsg_MAX]; |
| 43 |
Assemble_Parameters p; |
| 44 |
dim_t dimensions[ESCRIPT_MAX_DATA_RANK], k, e, len_EM_lumpedMat, q, s; |
| 45 |
type_t funcspace; |
| 46 |
index_t color,*row_index=NULL; |
| 47 |
double *S=NULL, *EM_lumpedMat=NULL, *Vol=NULL, *D_p=NULL, *lumpedMat_p=NULL; |
| 48 |
register double rtmp; |
| 49 |
size_t len_EM_lumpedMat_size; |
| 50 |
register double m_t, diagS; |
| 51 |
|
| 52 |
Finley_resetError(); |
| 53 |
|
| 54 |
if (nodes==NULL || elements==NULL) return; |
| 55 |
if (isEmpty(lumpedMat) || isEmpty(D)) return; |
| 56 |
if (isEmpty(lumpedMat) && !isEmpty(D)) { |
| 57 |
Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: coefficients are non-zero but no lumped matrix is given."); |
| 58 |
return; |
| 59 |
} |
| 60 |
funcspace=getFunctionSpaceType(D); |
| 61 |
/* check if all function spaces are the same */ |
| 62 |
if (funcspace==FINLEY_ELEMENTS) { |
| 63 |
reducedIntegrationOrder=FALSE; |
| 64 |
} else if (funcspace==FINLEY_FACE_ELEMENTS) { |
| 65 |
reducedIntegrationOrder=FALSE; |
| 66 |
} else if (funcspace==FINLEY_REDUCED_ELEMENTS) { |
| 67 |
reducedIntegrationOrder=TRUE; |
| 68 |
} else if (funcspace==FINLEY_REDUCED_FACE_ELEMENTS) { |
| 69 |
reducedIntegrationOrder=TRUE; |
| 70 |
} else { |
| 71 |
Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: assemblage failed because of illegal function space."); |
| 72 |
} |
| 73 |
if (! Finley_noError()) return; |
| 74 |
|
| 75 |
/* set all parameters in p*/ |
| 76 |
Assemble_getAssembleParameters(nodes,elements,NULL,lumpedMat, reducedIntegrationOrder, &p); |
| 77 |
if (! Finley_noError()) return; |
| 78 |
|
| 79 |
/* check if all function spaces are the same */ |
| 80 |
|
| 81 |
if (! numSamplesEqual(D,p.numQuad,elements->numElements) ) { |
| 82 |
sprintf(error_msg,"Assemble_LumpedSystem: sample points of coefficient D don't match (%d,%d)",p.numQuad,elements->numElements); |
| 83 |
Finley_setError(TYPE_ERROR,error_msg); |
| 84 |
} |
| 85 |
|
| 86 |
/* check the dimensions: */ |
| 87 |
|
| 88 |
if (p.numEqu==1) { |
| 89 |
if (!isEmpty(D)) { |
| 90 |
if (!isDataPointShapeEqual(D,0,dimensions)) { |
| 91 |
Finley_setError(TYPE_ERROR,"Assemble_LumpedSystem: coefficient D, rank 0 expected."); |
| 92 |
} |
| 93 |
|
| 94 |
} |
| 95 |
} else { |
| 96 |
if (!isEmpty(D)) { |
| 97 |
dimensions[0]=p.numEqu; |
| 98 |
if (!isDataPointShapeEqual(D,1,dimensions)) { |
| 99 |
sprintf(error_msg,"Assemble_LumpedSystem: coefficient D, expected shape (%d,)",dimensions[0]); |
| 100 |
Finley_setError(TYPE_ERROR,error_msg); |
| 101 |
} |
| 102 |
} |
| 103 |
} |
| 104 |
|
| 105 |
if (Finley_noError()) { |
| 106 |
lumpedMat_p=getSampleData(lumpedMat,0); |
| 107 |
len_EM_lumpedMat=p.row_NN*p.numEqu; |
| 108 |
len_EM_lumpedMat_size=len_EM_lumpedMat*sizeof(double); |
| 109 |
expandedD=isExpanded(D); |
| 110 |
S=p.row_jac->ReferenceElement->S; |
| 111 |
|
| 112 |
#pragma omp parallel private(color, EM_lumpedMat, row_index, Vol, D_p, s, q, k, rtmp, m_t, diagS) |
| 113 |
{ |
| 114 |
EM_lumpedMat=THREAD_MEMALLOC(len_EM_lumpedMat,double); |
| 115 |
row_index=THREAD_MEMALLOC(p.row_NN,index_t); |
| 116 |
if ( !Finley_checkPtr(EM_lumpedMat) && !Finley_checkPtr(row_index) ) { |
| 117 |
if (p.numEqu == 1) { |
| 118 |
if (expandedD) { |
| 119 |
for (color=elements->minColor;color<=elements->maxColor;color++) { |
| 120 |
/* open loop over all elements: */ |
| 121 |
#pragma omp for private(e) schedule(static) |
| 122 |
for(e=0;e<elements->numElements;e++){ |
| 123 |
if (elements->Color[e]==color) { |
| 124 |
Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
| 125 |
memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
| 126 |
D_p=getSampleData(D,e); |
| 127 |
#ifdef NEW_LUMPING /* HRZ lumping */ |
| 128 |
/* |
| 129 |
* Number of PDEs: 1 |
| 130 |
* D_p varies over element: True |
| 131 |
*/ |
| 132 |
m_t=0; /* mass of the element: m_t */ |
| 133 |
for (q=0;q<p.numQuad;q++) { |
| 134 |
m_t+=Vol[q]*D_p[q]; |
| 135 |
} |
| 136 |
diagS=0; /* diagonal sum: S */ |
| 137 |
for (s=0;s<p.row_NS;s++) { |
| 138 |
rtmp=0; |
| 139 |
for (q=0;q<p.numQuad;q++) { |
| 140 |
rtmp+=Vol[q]*D_p[q]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
| 141 |
} |
| 142 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
| 143 |
diagS+=EM_lumpedMat[INDEX2(0,s,p.numEqu)]; |
| 144 |
} |
| 145 |
/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
| 146 |
for (s=0;s<p.row_NS;s++) { |
| 147 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]*=m_t/diagS; |
| 148 |
} |
| 149 |
#else /* row-sum lumping */ |
| 150 |
for (s=0;s<p.row_NS;s++) { |
| 151 |
rtmp=0; |
| 152 |
for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*D_p[q]; |
| 153 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
| 154 |
} |
| 155 |
#endif |
| 156 |
for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
| 157 |
Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
| 158 |
} /* end color check */ |
| 159 |
} /* end element loop */ |
| 160 |
} /* end color loop */ |
| 161 |
} else { |
| 162 |
for (color=elements->minColor;color<=elements->maxColor;color++) { |
| 163 |
/* open loop over all elements: */ |
| 164 |
#pragma omp for private(e) schedule(static) |
| 165 |
for(e=0;e<elements->numElements;e++){ |
| 166 |
if (elements->Color[e]==color) { |
| 167 |
Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
| 168 |
memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
| 169 |
D_p=getSampleData(D,e); |
| 170 |
#ifdef NEW_LUMPING /* HRZ lumping */ |
| 171 |
/* |
| 172 |
* Number of PDEs: 1 |
| 173 |
* D_p varies over element: False |
| 174 |
*/ |
| 175 |
m_t=0; /* mass of the element: m_t */ |
| 176 |
for (q=0;q<p.numQuad;q++) { |
| 177 |
m_t+=Vol[q]*D_p[0]; |
| 178 |
} |
| 179 |
diagS=0; /* diagonal sum: S */ |
| 180 |
for (s=0;s<p.row_NS;s++) { |
| 181 |
rtmp=0; |
| 182 |
for (q=0;q<p.numQuad;q++) { |
| 183 |
rtmp+=Vol[q]*D_p[0]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
| 184 |
} |
| 185 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp; |
| 186 |
diagS+=EM_lumpedMat[INDEX2(0,s,p.numEqu)]; |
| 187 |
} |
| 188 |
/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
| 189 |
for (s=0;s<p.row_NS;s++) { |
| 190 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]*=m_t/diagS; |
| 191 |
} |
| 192 |
#else /* row-sum lumping */ |
| 193 |
for (s=0;s<p.row_NS;s++) { |
| 194 |
rtmp=0; |
| 195 |
for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]; |
| 196 |
EM_lumpedMat[INDEX2(0,s,p.numEqu)]+=rtmp*D_p[0]; |
| 197 |
} |
| 198 |
#endif |
| 199 |
for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
| 200 |
Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
| 201 |
} /* end color check */ |
| 202 |
} /* end element loop */ |
| 203 |
} /* end color loop */ |
| 204 |
} |
| 205 |
} else { |
| 206 |
if (expandedD) { |
| 207 |
for (color=elements->minColor;color<=elements->maxColor;color++) { |
| 208 |
/* open loop over all elements: */ |
| 209 |
#pragma omp for private(e) schedule(static) |
| 210 |
for(e=0;e<elements->numElements;e++){ |
| 211 |
if (elements->Color[e]==color) { |
| 212 |
Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
| 213 |
memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
| 214 |
D_p=getSampleData(D,e); |
| 215 |
#ifdef NEW_LUMPING /* HRZ lumping */ |
| 216 |
/* |
| 217 |
* Number of PDEs: Multiple |
| 218 |
* D_p varies over element: True |
| 219 |
*/ |
| 220 |
for (k=0;k<p.numEqu;k++) { |
| 221 |
m_t=0; /* mass of the element: m_t */ |
| 222 |
for (q=0;q<p.numQuad;q++) { |
| 223 |
m_t+=Vol[q]*D_p[INDEX2(k,q,p.numEqu)]; |
| 224 |
} |
| 225 |
diagS=0; /* diagonal sum: S */ |
| 226 |
for (s=0;s<p.row_NS;s++) { |
| 227 |
rtmp=0; |
| 228 |
for (q=0;q<p.numQuad;q++) { |
| 229 |
rtmp+=Vol[q]*D_p[INDEX2(k,q,p.numEqu)]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
| 230 |
} |
| 231 |
EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
| 232 |
diagS+=EM_lumpedMat[INDEX2(k,s,p.numEqu)]; |
| 233 |
} |
| 234 |
/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
| 235 |
for (s=0;s<p.row_NS;s++) { |
| 236 |
EM_lumpedMat[INDEX2(k,s,p.numEqu)]*=m_t/diagS; |
| 237 |
} |
| 238 |
} |
| 239 |
#else /* row-sum lumping */ |
| 240 |
for (s=0;s<p.row_NS;s++) { |
| 241 |
for (k=0;k<p.numEqu;k++) { |
| 242 |
rtmp=0.; |
| 243 |
for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*D_p[INDEX2(k,q,p.numEqu)]; |
| 244 |
EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
| 245 |
} |
| 246 |
} |
| 247 |
#endif |
| 248 |
for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
| 249 |
Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
| 250 |
} /* end color check */ |
| 251 |
} /* end element loop */ |
| 252 |
} /* end color loop */ |
| 253 |
} else { |
| 254 |
/* open loop over all elements: */ |
| 255 |
for (color=elements->minColor;color<=elements->maxColor;color++) { |
| 256 |
#pragma omp for private(e) schedule(static) |
| 257 |
for(e=0;e<elements->numElements;e++){ |
| 258 |
if (elements->Color[e]==color) { |
| 259 |
Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]); |
| 260 |
memset(EM_lumpedMat,0,len_EM_lumpedMat_size); |
| 261 |
D_p=getSampleData(D,e); |
| 262 |
#ifdef NEW_LUMPING /* HRZ lumping */ |
| 263 |
/* |
| 264 |
* Number of PDEs: Multiple |
| 265 |
* D_p varies over element: False |
| 266 |
*/ |
| 267 |
for (k=0;k<p.numEqu;k++) { |
| 268 |
m_t=0; /* mass of the element: m_t */ |
| 269 |
for (q=0;q<p.numQuad;q++) { |
| 270 |
m_t+=Vol[q]*D_p[k]; |
| 271 |
} |
| 272 |
diagS=0; /* diagonal sum: S */ |
| 273 |
for (s=0;s<p.row_NS;s++) { |
| 274 |
rtmp=0; |
| 275 |
for (q=0;q<p.numQuad;q++) { |
| 276 |
rtmp+=Vol[q]*D_p[k]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(s,q,p.row_NS)]; |
| 277 |
} |
| 278 |
EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp; |
| 279 |
diagS+=EM_lumpedMat[INDEX2(k,s,p.numEqu)]; |
| 280 |
} |
| 281 |
/* rescale diagonals by m_t/diagS to ensure consistent mass over element */ |
| 282 |
for (s=0;s<p.row_NS;s++) { |
| 283 |
EM_lumpedMat[INDEX2(k,s,p.numEqu)]*=m_t/diagS; |
| 284 |
} |
| 285 |
} |
| 286 |
#else /* row-sum lumping */ |
| 287 |
for (s=0;s<p.row_NS;s++) { |
| 288 |
rtmp=0; |
| 289 |
for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]; |
| 290 |
for (k=0;k<p.numEqu;k++) EM_lumpedMat[INDEX2(k,s,p.numEqu)]+=rtmp*D_p[k]; |
| 291 |
} |
| 292 |
#endif |
| 293 |
for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]]; |
| 294 |
Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_lumpedMat,lumpedMat_p, p.row_DOF_UpperBound); |
| 295 |
} /* end color check */ |
| 296 |
} /* end element loop */ |
| 297 |
} /* end color loop */ |
| 298 |
} |
| 299 |
} |
| 300 |
} /* end of pointer check */ |
| 301 |
THREAD_MEMFREE(EM_lumpedMat); |
| 302 |
THREAD_MEMFREE(row_index); |
| 303 |
} /* end parallel region */ |
| 304 |
} |
| 305 |
} |
Parent Directory
| 
Revision Log