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PyrExp.cpp
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2 //
3 // File PyrExp.cpp
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10 // Department of Aeronautics, Imperial College London (UK), and Scientific
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31 //
32 // Description: PyrExp routines
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #include <LocalRegions/PyrExp.h>
38 
39 namespace Nektar
40 {
41  namespace LocalRegions
42  {
43 
45  const LibUtilities::BasisKey &Bb,
46  const LibUtilities::BasisKey &Bc,
48  StdExpansion (LibUtilities::StdPyrData::getNumberOfCoefficients(
49  Ba.GetNumModes(),
50  Bb.GetNumModes(),
51  Bc.GetNumModes()),
52  3, Ba, Bb, Bc),
53  StdExpansion3D(LibUtilities::StdPyrData::getNumberOfCoefficients(
54  Ba.GetNumModes(),
55  Bb.GetNumModes(),
56  Bc.GetNumModes()),
57  Ba, Bb, Bc),
58  StdPyrExp (Ba,Bb,Bc),
59  Expansion (geom),
60  Expansion3D (geom),
61  m_matrixManager(
62  boost::bind(&PyrExp::CreateMatrix, this, _1),
63  std::string("PyrExpMatrix")),
64  m_staticCondMatrixManager(
65  boost::bind(&PyrExp::CreateStaticCondMatrix, this, _1),
66  std::string("PyrExpStaticCondMatrix"))
67  {
68  }
69 
71  StdExpansion (T),
72  StdExpansion3D(T),
73  StdPyrExp (T),
74  Expansion (T),
75  Expansion3D (T),
76  m_matrixManager(T.m_matrixManager),
77  m_staticCondMatrixManager(T.m_staticCondMatrixManager)
78  {
79  }
80 
82  {
83  }
84 
85 
86  //----------------------------
87  // Integration Methods
88  //----------------------------
89 
90  /**
91  * \brief Integrate the physical point list \a inarray over pyramidic
92  * region and return the value.
93  *
94  * Inputs:\n
95  *
96  * - \a inarray: definition of function to be returned at quadrature
97  * point of expansion.
98  *
99  * Outputs:\n
100  *
101  * - returns \f$\int^1_{-1}\int^1_{-1}\int^1_{-1} u(\bar \eta_1,
102  * \eta_2, \eta_3) J[i,j,k] d \bar \eta_1 d \eta_2 d \eta_3\f$ \n \f$=
103  * \sum_{i=0}^{Q_1 - 1} \sum_{j=0}^{Q_2 - 1} \sum_{k=0}^{Q_3 - 1}
104  * u(\bar \eta_{1i}^{0,0}, \eta_{2j}^{0,0},\eta_{3k}^{2,0})w_{i}^{0,0}
105  * w_{j}^{0,0} \hat w_{k}^{2,0} \f$ \n where \f$inarray[i,j, k] =
106  * u(\bar \eta_{1i},\eta_{2j}, \eta_{3k}) \f$, \n \f$\hat w_{k}^{2,0}
107  * = \frac {w^{2,0}} {2} \f$ \n and \f$ J[i,j,k] \f$ is the Jacobian
108  * evaluated at the quadrature point.
109  */
111  {
112  int nquad0 = m_base[0]->GetNumPoints();
113  int nquad1 = m_base[1]->GetNumPoints();
114  int nquad2 = m_base[2]->GetNumPoints();
116  Array<OneD, NekDouble> tmp(nquad0*nquad1*nquad2);
117 
118  // multiply inarray with Jacobian
119  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
120  {
121  Vmath::Vmul(nquad0*nquad1*nquad2,&jac[0],1,(NekDouble*)&inarray[0],1, &tmp[0],1);
122  }
123  else
124  {
125  Vmath::Smul(nquad0*nquad1*nquad2,(NekDouble) jac[0], (NekDouble*)&inarray[0],1,&tmp[0],1);
126  }
127 
128  // call StdPyrExp version;
129  return StdPyrExp::v_Integral(tmp);
130  }
131 
132 
133  //----------------------------
134  // Differentiation Methods
135  //----------------------------
136 
138  Array<OneD, NekDouble>& out_d0,
139  Array<OneD, NekDouble>& out_d1,
140  Array<OneD, NekDouble>& out_d2)
141  {
142  int nquad0 = m_base[0]->GetNumPoints();
143  int nquad1 = m_base[1]->GetNumPoints();
144  int nquad2 = m_base[2]->GetNumPoints();
146  m_metricinfo->GetDerivFactors(GetPointsKeys());
147  Array<OneD,NekDouble> diff0(nquad0*nquad1*nquad2);
148  Array<OneD,NekDouble> diff1(nquad0*nquad1*nquad2);
149  Array<OneD,NekDouble> diff2(nquad0*nquad1*nquad2);
150 
151  StdPyrExp::v_PhysDeriv(inarray, diff0, diff1, diff2);
152 
153  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
154  {
155  if(out_d0.num_elements())
156  {
157  Vmath::Vmul (nquad0*nquad1*nquad2,&gmat[0][0],1,&diff0[0],1, &out_d0[0], 1);
158  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[1][0],1,&diff1[0],1, &out_d0[0], 1,&out_d0[0],1);
159  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[2][0],1,&diff2[0],1, &out_d0[0], 1,&out_d0[0],1);
160  }
161 
162  if(out_d1.num_elements())
163  {
164  Vmath::Vmul (nquad0*nquad1*nquad2,&gmat[3][0],1,&diff0[0],1, &out_d1[0], 1);
165  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[4][0],1,&diff1[0],1, &out_d1[0], 1,&out_d1[0],1);
166  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[5][0],1,&diff2[0],1, &out_d1[0], 1,&out_d1[0],1);
167  }
168 
169  if(out_d2.num_elements())
170  {
171  Vmath::Vmul (nquad0*nquad1*nquad2,&gmat[6][0],1,&diff0[0],1, &out_d2[0], 1);
172  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[7][0],1,&diff1[0],1, &out_d2[0], 1, &out_d2[0],1);
173  Vmath::Vvtvp (nquad0*nquad1*nquad2,&gmat[8][0],1,&diff2[0],1, &out_d2[0], 1, &out_d2[0],1);
174  }
175  }
176  else // regular geometry
177  {
178  if(out_d0.num_elements())
179  {
180  Vmath::Smul (nquad0*nquad1*nquad2,gmat[0][0],&diff0[0],1, &out_d0[0], 1);
181  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[1][0],&diff1[0],1, &out_d0[0], 1);
182  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[2][0],&diff2[0],1, &out_d0[0], 1);
183  }
184 
185  if(out_d1.num_elements())
186  {
187  Vmath::Smul (nquad0*nquad1*nquad2,gmat[3][0],&diff0[0],1, &out_d1[0], 1);
188  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[4][0],&diff1[0],1, &out_d1[0], 1);
189  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[5][0],&diff2[0],1, &out_d1[0], 1);
190  }
191 
192  if(out_d2.num_elements())
193  {
194  Vmath::Smul (nquad0*nquad1*nquad2,gmat[6][0],&diff0[0],1, &out_d2[0], 1);
195  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[7][0],&diff1[0],1, &out_d2[0], 1);
196  Blas::Daxpy (nquad0*nquad1*nquad2,gmat[8][0],&diff2[0],1, &out_d2[0], 1);
197  }
198  }
199  }
200 
201 
202  //---------------------------------------
203  // Transforms
204  //---------------------------------------
205 
206  /**
207  * \brief Forward transform from physical quadrature space stored in
208  * \a inarray and evaluate the expansion coefficients and store in \a
209  * (this)->m_coeffs
210  *
211  * Inputs:\n
212  *
213  * - \a inarray: array of physical quadrature points to be transformed
214  *
215  * Outputs:\n
216  *
217  * - (this)->_coeffs: updated array of expansion coefficients.
218  */
220  Array<OneD, NekDouble>& outarray)
221  {
222  if(m_base[0]->Collocation() &&
223  m_base[1]->Collocation() &&
224  m_base[2]->Collocation())
225  {
226  Vmath::Vcopy(GetNcoeffs(),&inarray[0],1,&outarray[0],1);
227  }
228  else
229  {
230  v_IProductWRTBase(inarray,outarray);
231 
232  // get Mass matrix inverse
234  DetShapeType(),*this);
235  DNekScalMatSharedPtr matsys = m_matrixManager[masskey];
236 
237  // copy inarray in case inarray == outarray
238  DNekVec in (m_ncoeffs,outarray);
239  DNekVec out(m_ncoeffs,outarray,eWrapper);
240 
241  out = (*matsys)*in;
242  }
243  }
244 
245 
246  //---------------------------------------
247  // Inner product functions
248  //---------------------------------------
249 
250  /**
251  * \brief Calculate the inner product of inarray with respect to the
252  * basis B=base0*base1*base2 and put into outarray:
253  *
254  * \f$ \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = &
255  * \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a}
256  * (\bar \eta_{1i}) \psi_{q}^{a} (\eta_{2j}) \psi_{pqr}^{c}
257  * (\eta_{3k}) w_i w_j w_k u(\bar \eta_{1,i} \eta_{2,j} \eta_{3,k})
258  * J_{i,j,k}\\ & = & \sum_{i=0}^{nq_0} \psi_p^a(\bar \eta_{1,i})
259  * \sum_{j=0}^{nq_1} \psi_{q}^a(\eta_{2,j}) \sum_{k=0}^{nq_2}
260  * \psi_{pqr}^c u(\bar \eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k}
261  * \end{array} \f$ \n
262  *
263  * where
264  *
265  * \f$\phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\bar \eta_1)
266  * \psi_{q}^a (\eta_2) \psi_{pqr}^c (\eta_3) \f$ \n
267  *
268  * which can be implemented as \n \f$f_{pqr} (\xi_{3k}) =
269  * \sum_{k=0}^{nq_3} \psi_{pqr}^c u(\bar
270  * \eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k} = {\bf B_3 U} \f$ \n \f$
271  * g_{pq} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pqr}
272  * (\xi_{3k}) = {\bf B_2 F} \f$ \n \f$ (\phi_{pqr}, u)_{\delta} =
273  * \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{pq} (\xi_{3k}) = {\bf
274  * B_1 G} \f$
275  */
277  const Array<OneD, const NekDouble> &inarray,
278  Array<OneD, NekDouble> &outarray)
279  {
280  int nquad0 = m_base[0]->GetNumPoints();
281  int nquad1 = m_base[1]->GetNumPoints();
282  int nquad2 = m_base[2]->GetNumPoints();
284  Array<OneD, NekDouble> tmp(nquad0*nquad1*nquad2);
285 
286  // multiply inarray with Jacobian
287  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
288  {
289  Vmath::Vmul(nquad0*nquad1*nquad2,&jac[0],1,(NekDouble*)&inarray[0],1,&tmp[0],1);
290  }
291  else
292  {
293  Vmath::Smul(nquad0*nquad1*nquad2,jac[0],(NekDouble*)&inarray[0],1,&tmp[0],1);
294  }
295 
296  StdPyrExp::v_IProductWRTBase(tmp,outarray);
297  }
298 
299 
300  //---------------------------------------
301  // Evaluation functions
302  //---------------------------------------
303 
305  {
307  ::AllocateSharedPtr(m_base[0]->GetBasisKey(),
308  m_base[1]->GetBasisKey(),
309  m_base[2]->GetBasisKey());
310  }
311 
312  /*
313  * @brief Get the coordinates #coords at the local coordinates
314  * #Lcoords
315  */
317  Array<OneD, NekDouble>& coords)
318  {
319  int i;
320 
321  ASSERTL1(Lcoords[0] <= -1.0 && Lcoords[0] >= 1.0 &&
322  Lcoords[1] <= -1.0 && Lcoords[1] >= 1.0 &&
323  Lcoords[2] <= -1.0 && Lcoords[2] >= 1.0,
324  "Local coordinates are not in region [-1,1]");
325 
326  // m_geom->FillGeom(); // TODO: implement FillGeom()
327 
328  for(i = 0; i < m_geom->GetCoordim(); ++i)
329  {
330  coords[i] = m_geom->GetCoord(i,Lcoords);
331  }
332  }
333 
335  Array<OneD, NekDouble> &coords_1,
336  Array<OneD, NekDouble> &coords_2,
337  Array<OneD, NekDouble> &coords_3)
338  {
339  Expansion::v_GetCoords(coords_1, coords_2, coords_3);
340  }
341 
343  const Array<OneD, const NekDouble>& physvals)
344  {
345  Array<OneD,NekDouble> Lcoord(3);
346 
347  ASSERTL0(m_geom,"m_geom not defined");
348 
349  //TODO: check GetLocCoords()
350  m_geom->GetLocCoords(coord, Lcoord);
351 
352  return StdPyrExp::v_PhysEvaluate(Lcoord, physvals);
353  }
354 
355 
356  //---------------------------------------
357  // Helper functions
358  //---------------------------------------
359 
361  {
362  return m_geom->GetCoordim();
363  }
364 
365  void PyrExp::v_GetFacePhysMap(const int face,
366  Array<OneD, int> &outarray)
367  {
368  int nquad0 = m_base[0]->GetNumPoints();
369  int nquad1 = m_base[1]->GetNumPoints();
370  int nquad2 = m_base[2]->GetNumPoints();
371 
372  int nq0 = 0;
373  int nq1 = 0;
374 
375  switch(face)
376  {
377  case 0:
378  nq0 = nquad0;
379  nq1 = nquad1;
380  if(outarray.num_elements()!=nq0*nq1)
381  {
382  outarray = Array<OneD, int>(nq0*nq1);
383  }
384 
385  //Directions A and B positive
386  for(int i = 0; i < nquad0*nquad1; ++i)
387  {
388  outarray[i] = i;
389  }
390 
391  break;
392  case 1:
393  nq0 = nquad0;
394  nq1 = nquad2;
395  if(outarray.num_elements()!=nq0*nq1)
396  {
397  outarray = Array<OneD, int>(nq0*nq1);
398  }
399 
400  //Direction A and B positive
401  for (int k=0; k<nquad2; k++)
402  {
403  for(int i = 0; i < nquad0; ++i)
404  {
405  outarray[k*nquad0+i] = (nquad0*nquad1*k)+i;
406  }
407  }
408 
409  break;
410  case 2:
411  nq0 = nquad1;
412  nq1 = nquad2;
413  if(outarray.num_elements()!=nq0*nq1)
414  {
415  outarray = Array<OneD, int>(nq0*nq1);
416  }
417 
418  //Directions A and B positive
419  for(int j = 0; j < nquad1*nquad2; ++j)
420  {
421  outarray[j] = nquad0-1 + j*nquad0;
422 
423  }
424  break;
425  case 3:
426 
427  nq0 = nquad0;
428  nq1 = nquad2;
429  if(outarray.num_elements()!=nq0*nq1)
430  {
431  outarray = Array<OneD, int>(nq0*nq1);
432  }
433 
434  //Direction A and B positive
435  for (int k=0; k<nquad2; k++)
436  {
437  for(int i = 0; i < nquad0; ++i)
438  {
439  outarray[k*nquad0+i] = nquad0*(nquad1-1) + (nquad0*nquad1*k)+i;
440  }
441  }
442 
443  case 4:
444  nq0 = nquad1;
445  nq1 = nquad2;
446 
447  if(outarray.num_elements()!=nq0*nq1)
448  {
449  outarray = Array<OneD, int>(nq0*nq1);
450  }
451 
452  //Directions A and B positive
453  for(int j = 0; j < nquad1*nquad2; ++j)
454  {
455  outarray[j] = j*nquad0;
456 
457  }
458  break;
459  default:
460  ASSERTL0(false,"face value (> 4) is out of range");
461  break;
462  }
463  }
464 
465  void PyrExp::v_ComputeFaceNormal(const int face)
466  {
467  const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
468  GetGeom()->GetMetricInfo();
470  SpatialDomains::GeomType type = geomFactors->GetGtype();
471  const Array<TwoD, const NekDouble> &df = geomFactors->GetDerivFactors(ptsKeys);
472  const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
473 
474  LibUtilities::BasisKey tobasis0 = DetFaceBasisKey(face,0);
475  LibUtilities::BasisKey tobasis1 = DetFaceBasisKey(face,1);
476 
477  // Number of quadrature points in face expansion.
478  int nq_face = tobasis0.GetNumPoints()*tobasis1.GetNumPoints();
479 
480  int vCoordDim = GetCoordim();
481  int i;
482 
485  for (i = 0; i < vCoordDim; ++i)
486  {
487  normal[i] = Array<OneD, NekDouble>(nq_face);
488  }
489 
490  // Regular geometry case
491  if (type == SpatialDomains::eRegular ||
493  {
494  NekDouble fac;
495  // Set up normals
496  switch(face)
497  {
498  case 0:
499  {
500  for(i = 0; i < vCoordDim; ++i)
501  {
502  normal[i][0] = -df[3*i+2][0];
503  }
504  break;
505  }
506  case 1:
507  {
508  for(i = 0; i < vCoordDim; ++i)
509  {
510  normal[i][0] = -df[3*i+1][0];
511  }
512  break;
513  }
514  case 2:
515  {
516  for(i = 0; i < vCoordDim; ++i)
517  {
518  normal[i][0] = df[3*i][0]+df[3*i+2][0];
519  }
520  break;
521  }
522  case 3:
523  {
524  for(i = 0; i < vCoordDim; ++i)
525  {
526  normal[i][0] = df[3*i+1][0]+df[3*i+2][0];
527  }
528  break;
529  }
530  case 4:
531  {
532  for(i = 0; i < vCoordDim; ++i)
533  {
534  normal[i][0] = -df[3*i][0];
535  }
536  break;
537  }
538  default:
539  ASSERTL0(false,"face is out of range (face < 4)");
540  }
541 
542  // Normalise resulting vector.
543  fac = 0.0;
544  for(i = 0; i < vCoordDim; ++i)
545  {
546  fac += normal[i][0]*normal[i][0];
547  }
548  fac = 1.0/sqrt(fac);
549  for (i = 0; i < vCoordDim; ++i)
550  {
551  Vmath::Fill(nq_face,fac*normal[i][0],normal[i],1);
552  }
553  }
554  else
555  {
556  // Set up deformed normals.
557  int j, k;
558 
559  int nq0 = ptsKeys[0].GetNumPoints();
560  int nq1 = ptsKeys[1].GetNumPoints();
561  int nq2 = ptsKeys[2].GetNumPoints();
562  int nq01 = nq0*nq1;
563  int nqtot;
564 
565  // Determine number of quadrature points on the face.
566  if (face == 0)
567  {
568  nqtot = nq0*nq1;
569  }
570  else if (face == 1 || face == 3)
571  {
572  nqtot = nq0*nq2;
573  }
574  else
575  {
576  nqtot = nq1*nq2;
577  }
578 
579  LibUtilities::PointsKey points0;
580  LibUtilities::PointsKey points1;
581 
582  Array<OneD, NekDouble> faceJac(nqtot);
583  Array<OneD, NekDouble> normals(vCoordDim*nqtot,0.0);
584 
585  // Extract Jacobian along face and recover local derivatives
586  // (dx/dr) for polynomial interpolation by multiplying m_gmat by
587  // jacobian
588  switch(face)
589  {
590  case 0:
591  {
592  for(j = 0; j < nq01; ++j)
593  {
594  normals[j] = -df[2][j]*jac[j];
595  normals[nqtot+j] = -df[5][j]*jac[j];
596  normals[2*nqtot+j] = -df[8][j]*jac[j];
597  faceJac[j] = jac[j];
598  }
599 
600  points0 = ptsKeys[0];
601  points1 = ptsKeys[1];
602  break;
603  }
604 
605  case 1:
606  {
607  for (j = 0; j < nq0; ++j)
608  {
609  for(k = 0; k < nq2; ++k)
610  {
611  int tmp = j+nq01*k;
612  normals[j+k*nq0] =
613  -df[1][tmp]*jac[tmp];
614  normals[nqtot+j+k*nq0] =
615  -df[4][tmp]*jac[tmp];
616  normals[2*nqtot+j+k*nq0] =
617  -df[7][tmp]*jac[tmp];
618  faceJac[j+k*nq0] = jac[tmp];
619  }
620  }
621 
622  points0 = ptsKeys[0];
623  points1 = ptsKeys[2];
624  break;
625  }
626 
627  case 2:
628  {
629  for (j = 0; j < nq1; ++j)
630  {
631  for(k = 0; k < nq2; ++k)
632  {
633  int tmp = nq0-1+nq0*j+nq01*k;
634  normals[j+k*nq1] =
635  (df[0][tmp]+df[2][tmp])*jac[tmp];
636  normals[nqtot+j+k*nq1] =
637  (df[3][tmp]+df[5][tmp])*jac[tmp];
638  normals[2*nqtot+j+k*nq1] =
639  (df[6][tmp]+df[8][tmp])*jac[tmp];
640  faceJac[j+k*nq1] = jac[tmp];
641  }
642  }
643 
644  points0 = ptsKeys[1];
645  points1 = ptsKeys[2];
646  break;
647  }
648 
649  case 3:
650  {
651  for (j = 0; j < nq0; ++j)
652  {
653  for(k = 0; k < nq2; ++k)
654  {
655  int tmp = nq0*(nq1-1) + j + nq01*k;
656  normals[j+k*nq0] =
657  (df[1][tmp]+df[2][tmp])*jac[tmp];
658  normals[nqtot+j+k*nq0] =
659  (df[4][tmp]+df[5][tmp])*jac[tmp];
660  normals[2*nqtot+j+k*nq0] =
661  (df[7][tmp]+df[8][tmp])*jac[tmp];
662  faceJac[j+k*nq0] = jac[tmp];
663  }
664  }
665 
666  points0 = ptsKeys[0];
667  points1 = ptsKeys[2];
668  break;
669  }
670 
671  case 4:
672  {
673  for (j = 0; j < nq1; ++j)
674  {
675  for(k = 0; k < nq2; ++k)
676  {
677  int tmp = j*nq0+nq01*k;
678  normals[j+k*nq1] =
679  -df[0][tmp]*jac[tmp];
680  normals[nqtot+j+k*nq1] =
681  -df[3][tmp]*jac[tmp];
682  normals[2*nqtot+j+k*nq1] =
683  -df[6][tmp]*jac[tmp];
684  faceJac[j+k*nq1] = jac[tmp];
685  }
686  }
687 
688  points0 = ptsKeys[1];
689  points1 = ptsKeys[2];
690  break;
691  }
692 
693  default:
694  ASSERTL0(false,"face is out of range (face < 4)");
695  }
696 
697  Array<OneD, NekDouble> work (nq_face, 0.0);
698  // Interpolate Jacobian and invert
699  LibUtilities::Interp2D(points0, points1, faceJac,
700  tobasis0.GetPointsKey(),
701  tobasis1.GetPointsKey(),
702  work);
703  Vmath::Sdiv(nq_face, 1.0, &work[0], 1, &work[0], 1);
704 
705  // Interpolate normal and multiply by inverse Jacobian.
706  for(i = 0; i < vCoordDim; ++i)
707  {
708  LibUtilities::Interp2D(points0, points1,
709  &normals[i*nqtot],
710  tobasis0.GetPointsKey(),
711  tobasis1.GetPointsKey(),
712  &normal[i][0]);
713  Vmath::Vmul(nq_face,work,1,normal[i],1,normal[i],1);
714  }
715 
716  // Normalise to obtain unit normals.
717  Vmath::Zero(nq_face,work,1);
718  for(i = 0; i < GetCoordim(); ++i)
719  {
720  Vmath::Vvtvp(nq_face,normal[i],1,normal[i],1,work,1,work,1);
721  }
722 
723  Vmath::Vsqrt(nq_face,work,1,work,1);
724  Vmath::Sdiv (nq_face,1.0,work,1,work,1);
725 
726  for(i = 0; i < GetCoordim(); ++i)
727  {
728  Vmath::Vmul(nq_face,normal[i],1,work,1,normal[i],1);
729  }
730  }
731  }
732 
733  //---------------------------------------
734  // Matrix creation functions
735  //---------------------------------------
736 
738  {
739  DNekMatSharedPtr returnval;
740 
741  switch(mkey.GetMatrixType())
742  {
749  returnval = Expansion3D::v_GenMatrix(mkey);
750  break;
751  default:
752  returnval = StdPyrExp::v_GenMatrix(mkey);
753  }
754 
755  return returnval;
756  }
757 
759  {
760  LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
761  LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
762  LibUtilities::BasisKey bkey2 = m_base[2]->GetBasisKey();
764  MemoryManager<StdPyrExp>::AllocateSharedPtr(bkey0, bkey1, bkey2);
765 
766  return tmp->GetStdMatrix(mkey);
767  }
768 
770  {
771  return m_matrixManager[mkey];
772  }
773 
775  {
776  return m_staticCondMatrixManager[mkey];
777  }
778 
780  {
781  m_staticCondMatrixManager.DeleteObject(mkey);
782  }
783 
785  {
786  DNekScalMatSharedPtr returnval;
788 
789  ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
790 
791  switch(mkey.GetMatrixType())
792  {
793  case StdRegions::eMass:
794  {
795  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
796  {
797  NekDouble one = 1.0;
798  DNekMatSharedPtr mat = GenMatrix(mkey);
800  }
801  else
802  {
803  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
804  DNekMatSharedPtr mat = GetStdMatrix(mkey);
806  }
807  }
808  break;
810  {
811  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
812  {
813  NekDouble one = 1.0;
815  *this);
816  DNekMatSharedPtr mat = GenMatrix(masskey);
817  mat->Invert();
819  }
820  else
821  {
822  NekDouble fac = 1.0/(m_metricinfo->GetJac(ptsKeys))[0];
823  DNekMatSharedPtr mat = GetStdMatrix(mkey);
825  }
826  }
827  break;
829  {
830  if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
831  mkey.GetNVarCoeff() > 0 ||
832  mkey.ConstFactorExists(
834  {
835  NekDouble one = 1.0;
836  DNekMatSharedPtr mat = GenMatrix(mkey);
837 
839  }
840  else
841  {
843  mkey.GetShapeType(), *this);
845  mkey.GetShapeType(), *this);
847  mkey.GetShapeType(), *this);
849  mkey.GetShapeType(), *this);
851  mkey.GetShapeType(), *this);
853  mkey.GetShapeType(), *this);
854 
855  DNekMat &lap00 = *GetStdMatrix(lap00key);
856  DNekMat &lap01 = *GetStdMatrix(lap01key);
857  DNekMat &lap02 = *GetStdMatrix(lap02key);
858  DNekMat &lap11 = *GetStdMatrix(lap11key);
859  DNekMat &lap12 = *GetStdMatrix(lap12key);
860  DNekMat &lap22 = *GetStdMatrix(lap22key);
861 
862  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
864  m_metricinfo->GetGmat(ptsKeys);
865 
866  int rows = lap00.GetRows();
867  int cols = lap00.GetColumns();
868 
870  ::AllocateSharedPtr(rows,cols);
871 
872  (*lap) = gmat[0][0]*lap00
873  + gmat[4][0]*lap11
874  + gmat[8][0]*lap22
875  + gmat[3][0]*(lap01 + Transpose(lap01))
876  + gmat[6][0]*(lap02 + Transpose(lap02))
877  + gmat[7][0]*(lap12 + Transpose(lap12));
878 
879  returnval = MemoryManager<DNekScalMat>
880  ::AllocateSharedPtr(jac, lap);
881  }
882  }
883  break;
885  {
887  MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
888  DNekScalMat &MassMat = *(this->m_matrixManager[masskey]);
889  MatrixKey lapkey(StdRegions::eLaplacian, mkey.GetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
890  DNekScalMat &LapMat = *(this->m_matrixManager[lapkey]);
891 
892  int rows = LapMat.GetRows();
893  int cols = LapMat.GetColumns();
894 
896 
897  (*helm) = LapMat + factor*MassMat;
898 
899  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(1.0, helm);
900  }
901  break;
902  default:
903  NEKERROR(ErrorUtil::efatal, "Matrix creation not defined");
904  break;
905  }
906 
907  return returnval;
908  }
909 
911  {
912  DNekScalBlkMatSharedPtr returnval;
913 
914  ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
915 
916  // set up block matrix system
917  unsigned int nbdry = NumBndryCoeffs();
918  unsigned int nint = (unsigned int)(m_ncoeffs - nbdry);
919  unsigned int exp_size[] = {nbdry, nint};
920  unsigned int nblks = 2;
921  returnval = MemoryManager<DNekScalBlkMat>::AllocateSharedPtr(nblks, nblks, exp_size, exp_size); //Really need a constructor which takes Arrays
922  NekDouble factor = 1.0;
923 
924  switch(mkey.GetMatrixType())
925  {
927  case StdRegions::eHelmholtz: // special case since Helmholtz not defined in StdRegions
928 
929  // use Deformed case for both regular and deformed geometries
930  factor = 1.0;
931  goto UseLocRegionsMatrix;
932  break;
933  default:
934  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
935  {
936  factor = 1.0;
937  goto UseLocRegionsMatrix;
938  }
939  else
940  {
942  factor = mat->Scale();
943  goto UseStdRegionsMatrix;
944  }
945  break;
946  UseStdRegionsMatrix:
947  {
948  NekDouble invfactor = 1.0/factor;
949  NekDouble one = 1.0;
952  DNekMatSharedPtr Asubmat;
953 
954  //TODO: check below
955  returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(0,0)));
956  returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,Asubmat = mat->GetBlock(0,1)));
957  returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(1,0)));
958  returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,Asubmat = mat->GetBlock(1,1)));
959  }
960  break;
961  UseLocRegionsMatrix:
962  {
963  int i,j;
964  NekDouble invfactor = 1.0/factor;
965  NekDouble one = 1.0;
966  DNekScalMat &mat = *GetLocMatrix(mkey);
971 
972  Array<OneD,unsigned int> bmap(nbdry);
973  Array<OneD,unsigned int> imap(nint);
974  GetBoundaryMap(bmap);
975  GetInteriorMap(imap);
976 
977  for(i = 0; i < nbdry; ++i)
978  {
979  for(j = 0; j < nbdry; ++j)
980  {
981  (*A)(i,j) = mat(bmap[i],bmap[j]);
982  }
983 
984  for(j = 0; j < nint; ++j)
985  {
986  (*B)(i,j) = mat(bmap[i],imap[j]);
987  }
988  }
989 
990  for(i = 0; i < nint; ++i)
991  {
992  for(j = 0; j < nbdry; ++j)
993  {
994  (*C)(i,j) = mat(imap[i],bmap[j]);
995  }
996 
997  for(j = 0; j < nint; ++j)
998  {
999  (*D)(i,j) = mat(imap[i],imap[j]);
1000  }
1001  }
1002 
1003  // Calculate static condensed system
1004  if(nint)
1005  {
1006  D->Invert();
1007  (*B) = (*B)*(*D);
1008  (*A) = (*A) - (*B)*(*C);
1009  }
1010 
1011  DNekScalMatSharedPtr Atmp;
1012 
1013  returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,A));
1014  returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,B));
1015  returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,C));
1016  returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,D));
1017 
1018  }
1019  }
1020  return returnval;
1021  }
1022 
1024  {
1025  if (m_metrics.count(eMetricQuadrature) == 0)
1026  {
1028  }
1029 
1030  int i, j;
1031  const unsigned int nqtot = GetTotPoints();
1032  const unsigned int dim = 3;
1033  const MetricType m[3][3] = {
1037  };
1038 
1039  for (unsigned int i = 0; i < dim; ++i)
1040  {
1041  for (unsigned int j = i; j < dim; ++j)
1042  {
1043  m_metrics[m[i][j]] = Array<OneD, NekDouble>(nqtot);
1044  }
1045  }
1046 
1047  // Define shorthand synonyms for m_metrics storage
1048  Array<OneD,NekDouble> g0 (m_metrics[m[0][0]]);
1049  Array<OneD,NekDouble> g1 (m_metrics[m[1][1]]);
1050  Array<OneD,NekDouble> g2 (m_metrics[m[2][2]]);
1051  Array<OneD,NekDouble> g3 (m_metrics[m[0][1]]);
1052  Array<OneD,NekDouble> g4 (m_metrics[m[0][2]]);
1053  Array<OneD,NekDouble> g5 (m_metrics[m[1][2]]);
1054 
1055  // Allocate temporary storage
1056  Array<OneD,NekDouble> alloc(9*nqtot,0.0);
1057  Array<OneD,NekDouble> h0 (nqtot, alloc);
1058  Array<OneD,NekDouble> h1 (nqtot, alloc+ 1*nqtot);
1059  Array<OneD,NekDouble> h2 (nqtot, alloc+ 2*nqtot);
1060  Array<OneD,NekDouble> wsp1 (nqtot, alloc+ 3*nqtot);
1061  Array<OneD,NekDouble> wsp2 (nqtot, alloc+ 4*nqtot);
1062  Array<OneD,NekDouble> wsp3 (nqtot, alloc+ 5*nqtot);
1063  Array<OneD,NekDouble> wsp4 (nqtot, alloc+ 6*nqtot);
1064  Array<OneD,NekDouble> wsp5 (nqtot, alloc+ 7*nqtot);
1065  Array<OneD,NekDouble> wsp6 (nqtot, alloc+ 8*nqtot);
1066 
1067  const Array<TwoD, const NekDouble>& df =
1068  m_metricinfo->GetDerivFactors(GetPointsKeys());
1069  const Array<OneD, const NekDouble>& z0 = m_base[0]->GetZ();
1070  const Array<OneD, const NekDouble>& z1 = m_base[1]->GetZ();
1071  const Array<OneD, const NekDouble>& z2 = m_base[2]->GetZ();
1072  const unsigned int nquad0 = m_base[0]->GetNumPoints();
1073  const unsigned int nquad1 = m_base[1]->GetNumPoints();
1074  const unsigned int nquad2 = m_base[2]->GetNumPoints();
1075 
1076  // Populate collapsed coordinate arrays h0, h1 and h2.
1077  for(j = 0; j < nquad2; ++j)
1078  {
1079  for(i = 0; i < nquad1; ++i)
1080  {
1081  Vmath::Fill(nquad0, 2.0/(1.0-z2[j]), &h0[0]+i*nquad0 + j*nquad0*nquad1,1);
1082  Vmath::Fill(nquad0, 1.0/(1.0-z2[j]), &h1[0]+i*nquad0 + j*nquad0*nquad1,1);
1083  Vmath::Fill(nquad0, (1.0+z1[i])/(1.0-z2[j]), &h2[0]+i*nquad0 + j*nquad0*nquad1,1);
1084  }
1085  }
1086  for(i = 0; i < nquad0; i++)
1087  {
1088  Blas::Dscal(nquad1*nquad2, 1+z0[i], &h1[0]+i, nquad0);
1089  }
1090 
1091  // Step 3. Construct combined metric terms for physical space to
1092  // collapsed coordinate system.
1093  // Order of construction optimised to minimise temporary storage
1094  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1095  {
1096  // f_{1k}
1097  Vmath::Vvtvvtp(nqtot, &df[0][0], 1, &h0[0], 1, &df[2][0], 1, &h1[0], 1, &wsp1[0], 1);
1098  Vmath::Vvtvvtp(nqtot, &df[3][0], 1, &h0[0], 1, &df[5][0], 1, &h1[0], 1, &wsp2[0], 1);
1099  Vmath::Vvtvvtp(nqtot, &df[6][0], 1, &h0[0], 1, &df[8][0], 1, &h1[0], 1, &wsp3[0], 1);
1100 
1101  // g0
1102  Vmath::Vvtvvtp(nqtot, &wsp1[0], 1, &wsp1[0], 1, &wsp2[0], 1, &wsp2[0], 1, &g0[0], 1);
1103  Vmath::Vvtvp (nqtot, &wsp3[0], 1, &wsp3[0], 1, &g0[0], 1, &g0[0], 1);
1104 
1105  // g4
1106  Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp1[0], 1, &df[5][0], 1, &wsp2[0], 1, &g4[0], 1);
1107  Vmath::Vvtvp (nqtot, &df[8][0], 1, &wsp3[0], 1, &g4[0], 1, &g4[0], 1);
1108 
1109  // f_{2k}
1110  Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &h0[0], 1, &df[2][0], 1, &h2[0], 1, &wsp4[0], 1);
1111  Vmath::Vvtvvtp(nqtot, &df[4][0], 1, &h0[0], 1, &df[5][0], 1, &h2[0], 1, &wsp5[0], 1);
1112  Vmath::Vvtvvtp(nqtot, &df[7][0], 1, &h0[0], 1, &df[8][0], 1, &h2[0], 1, &wsp6[0], 1);
1113 
1114  // g1
1115  Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g1[0], 1);
1116  Vmath::Vvtvp (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g1[0], 1, &g1[0], 1);
1117 
1118  // g3
1119  Vmath::Vvtvvtp(nqtot, &wsp1[0], 1, &wsp4[0], 1, &wsp2[0], 1, &wsp5[0], 1, &g3[0], 1);
1120  Vmath::Vvtvp (nqtot, &wsp3[0], 1, &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1121 
1122  // g5
1123  Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp4[0], 1, &df[5][0], 1, &wsp5[0], 1, &g5[0], 1);
1124  Vmath::Vvtvp (nqtot, &df[8][0], 1, &wsp6[0], 1, &g5[0], 1, &g5[0], 1);
1125 
1126  // g2
1127  Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &df[2][0], 1, &df[5][0], 1, &df[5][0], 1, &g2[0], 1);
1128  Vmath::Vvtvp (nqtot, &df[8][0], 1, &df[8][0], 1, &g2[0], 1, &g2[0], 1);
1129  }
1130  else
1131  {
1132  // f_{1k}
1133  Vmath::Svtsvtp(nqtot, df[0][0], &h0[0], 1, df[2][0], &h1[0], 1, &wsp1[0], 1);
1134  Vmath::Svtsvtp(nqtot, df[3][0], &h0[0], 1, df[5][0], &h1[0], 1, &wsp2[0], 1);
1135  Vmath::Svtsvtp(nqtot, df[6][0], &h0[0], 1, df[8][0], &h1[0], 1, &wsp3[0], 1);
1136 
1137  // g0
1138  Vmath::Vvtvvtp(nqtot, &wsp1[0], 1, &wsp1[0], 1, &wsp2[0], 1, &wsp2[0], 1, &g0[0], 1);
1139  Vmath::Vvtvp (nqtot, &wsp3[0], 1, &wsp3[0], 1, &g0[0], 1, &g0[0], 1);
1140 
1141  // g4
1142  Vmath::Svtsvtp(nqtot, df[2][0], &wsp1[0], 1, df[5][0], &wsp2[0], 1, &g4[0], 1);
1143  Vmath::Svtvp (nqtot, df[8][0], &wsp3[0], 1, &g4[0], 1, &g4[0], 1);
1144 
1145  // f_{2k}
1146  Vmath::Svtsvtp(nqtot, df[1][0], &h0[0], 1, df[2][0], &h2[0], 1, &wsp4[0], 1);
1147  Vmath::Svtsvtp(nqtot, df[4][0], &h0[0], 1, df[5][0], &h2[0], 1, &wsp5[0], 1);
1148  Vmath::Svtsvtp(nqtot, df[7][0], &h0[0], 1, df[8][0], &h2[0], 1, &wsp6[0], 1);
1149 
1150  // g1
1151  Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g1[0], 1);
1152  Vmath::Vvtvp (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g1[0], 1, &g1[0], 1);
1153 
1154  // g3
1155  Vmath::Vvtvvtp(nqtot, &wsp1[0], 1, &wsp4[0], 1, &wsp2[0], 1, &wsp5[0], 1, &g3[0], 1);
1156  Vmath::Vvtvp (nqtot, &wsp3[0], 1, &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1157 
1158  // g5
1159  Vmath::Svtsvtp(nqtot, df[2][0], &wsp4[0], 1, df[5][0], &wsp5[0], 1, &g5[0], 1);
1160  Vmath::Svtvp (nqtot, df[8][0], &wsp6[0], 1, &g5[0], 1, &g5[0], 1);
1161 
1162  // g2
1163  Vmath::Fill(nqtot, df[2][0]*df[2][0] + df[5][0]*df[5][0] + df[8][0]*df[8][0], &g2[0], 1);
1164  }
1165 
1166  for (unsigned int i = 0; i < dim; ++i)
1167  {
1168  for (unsigned int j = i; j < dim; ++j)
1169  {
1171  m_metrics[m[i][j]]);
1172 
1173  }
1174  }
1175  }
1176 
1178  const Array<OneD, const NekDouble> &inarray,
1179  Array<OneD, NekDouble> &outarray,
1181  {
1182  // This implementation is only valid when there are no coefficients
1183  // associated to the Laplacian operator
1184  if (m_metrics.count(eMetricLaplacian00) == 0)
1185  {
1187  }
1188 
1189  int nquad0 = m_base[0]->GetNumPoints();
1190  int nquad1 = m_base[1]->GetNumPoints();
1191  int nq2 = m_base[2]->GetNumPoints();
1192  int nqtot = nquad0*nquad1*nq2;
1193 
1194  ASSERTL1(wsp.num_elements() >= 6*nqtot,
1195  "Insufficient workspace size.");
1196  ASSERTL1(m_ncoeffs <= nqtot,
1197  "Workspace not set up for ncoeffs > nqtot");
1198 
1199  const Array<OneD, const NekDouble>& base0 = m_base[0]->GetBdata();
1200  const Array<OneD, const NekDouble>& base1 = m_base[1]->GetBdata();
1201  const Array<OneD, const NekDouble>& base2 = m_base[2]->GetBdata();
1202  const Array<OneD, const NekDouble>& dbase0 = m_base[0]->GetDbdata();
1203  const Array<OneD, const NekDouble>& dbase1 = m_base[1]->GetDbdata();
1204  const Array<OneD, const NekDouble>& dbase2 = m_base[2]->GetDbdata();
1211 
1212  // Allocate temporary storage
1213  Array<OneD,NekDouble> wsp0 (2*nqtot, wsp);
1214  Array<OneD,NekDouble> wsp1 ( nqtot, wsp+1*nqtot);
1215  Array<OneD,NekDouble> wsp2 ( nqtot, wsp+2*nqtot);
1216  Array<OneD,NekDouble> wsp3 ( nqtot, wsp+3*nqtot);
1217  Array<OneD,NekDouble> wsp4 ( nqtot, wsp+4*nqtot);
1218  Array<OneD,NekDouble> wsp5 ( nqtot, wsp+5*nqtot);
1219 
1220  // LAPLACIAN MATRIX OPERATION
1221  // wsp1 = du_dxi1 = D_xi1 * inarray = D_xi1 * u
1222  // wsp2 = du_dxi2 = D_xi2 * inarray = D_xi2 * u
1223  // wsp2 = du_dxi3 = D_xi3 * inarray = D_xi3 * u
1224  StdExpansion3D::PhysTensorDeriv(inarray,wsp0,wsp1,wsp2);
1225 
1226  // wsp0 = k = g0 * wsp1 + g1 * wsp2 = g0 * du_dxi1 + g1 * du_dxi2
1227  // wsp2 = l = g1 * wsp1 + g2 * wsp2 = g0 * du_dxi1 + g1 * du_dxi2
1228  // where g0, g1 and g2 are the metric terms set up in the GeomFactors class
1229  // especially for this purpose
1230  Vmath::Vvtvvtp(nqtot,&metric00[0],1,&wsp0[0],1,&metric01[0],1,&wsp1[0],1,&wsp3[0],1);
1231  Vmath::Vvtvp (nqtot,&metric02[0],1,&wsp2[0],1,&wsp3[0],1,&wsp3[0],1);
1232  Vmath::Vvtvvtp(nqtot,&metric01[0],1,&wsp0[0],1,&metric11[0],1,&wsp1[0],1,&wsp4[0],1);
1233  Vmath::Vvtvp (nqtot,&metric12[0],1,&wsp2[0],1,&wsp4[0],1,&wsp4[0],1);
1234  Vmath::Vvtvvtp(nqtot,&metric02[0],1,&wsp0[0],1,&metric12[0],1,&wsp1[0],1,&wsp5[0],1);
1235  Vmath::Vvtvp (nqtot,&metric22[0],1,&wsp2[0],1,&wsp5[0],1,&wsp5[0],1);
1236 
1237  // outarray = m = (D_xi1 * B)^T * k
1238  // wsp1 = n = (D_xi2 * B)^T * l
1239  IProductWRTBase_SumFacKernel(dbase0,base1,base2,wsp3,outarray,wsp0,false,true,true);
1240  IProductWRTBase_SumFacKernel(base0,dbase1,base2,wsp4,wsp2, wsp0,true,false,true);
1241  Vmath::Vadd(m_ncoeffs,wsp2.get(),1,outarray.get(),1,outarray.get(),1);
1242  IProductWRTBase_SumFacKernel(base0,base1,dbase2,wsp5,wsp2, wsp0,true,true,false);
1243  Vmath::Vadd(m_ncoeffs,wsp2.get(),1,outarray.get(),1,outarray.get(),1);
1244  }
1245  }//end of namespace
1246 }//end of namespace
const LibUtilities::PointsKeyVector GetPointsKeys() const
boost::shared_ptr< PyrGeom > PyrGeomSharedPtr
Definition: PyrGeom.h:84
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
NekDouble GetConstFactor(const ConstFactorType &factor) const
Definition: StdMatrixKey.h:122
DNekMatSharedPtr GenMatrix(const StdMatrixKey &mkey)
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
const ConstFactorMap & GetConstFactors() const
Definition: StdMatrixKey.h:142
DNekScalBlkMatSharedPtr CreateStaticCondMatrix(const MatrixKey &mkey)
Definition: PyrExp.cpp:910
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:158
const VarCoeffMap & GetVarCoeffs() const
Definition: StdMatrixKey.h:168
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:220
void v_ComputeFaceNormal(const int face)
Definition: PyrExp.cpp:465
MatrixType GetMatrixType() const
Definition: StdMatrixKey.h:82
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PyrExp.h:152
virtual void v_ComputeLaplacianMetric()
Definition: PyrExp.cpp:1023
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
void Vsqrt(int n, const T *x, const int incx, T *y, const int incy)
sqrt y = sqrt(x)
Definition: Vmath.cpp:394
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
DNekScalMatSharedPtr CreateMatrix(const MatrixKey &mkey)
Definition: PyrExp.cpp:784
virtual void v_GetFacePhysMap(const int face, Array< OneD, int > &outarray)
Definition: PyrExp.cpp:365
General purpose memory allocation routines with the ability to allocate from thread specific memory p...
virtual DNekMatSharedPtr v_CreateStdMatrix(const StdRegions::StdMatrixKey &mkey)
Definition: PyrExp.cpp:758
virtual void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into out...
Definition: PyrExp.cpp:276
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:46
virtual DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey)
Definition: PyrExp.cpp:737
virtual StdRegions::StdExpansionSharedPtr v_GetStdExp(void) const
Definition: PyrExp.cpp:304
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:471
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:428
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:126
virtual int v_GetCoordim()
Definition: PyrExp.cpp:360
STL namespace.
void Sdiv(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha/y.
Definition: Vmath.cpp:257
LibUtilities::ShapeType GetShapeType() const
Definition: StdMatrixKey.h:87
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:125
virtual void v_LaplacianMatrixOp_MatFree_Kernel(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
Definition: PyrExp.cpp:1177
boost::shared_ptr< StdPyrExp > StdPyrExpSharedPtr
Definition: StdPyrExp.h:258
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
virtual void v_GetCoord(const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
Definition: PyrExp.cpp:316
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
bool ConstFactorExists(const ConstFactorType &factor) const
Definition: StdMatrixKey.h:131
virtual NekDouble v_Integral(const Array< OneD, const NekDouble > &inarray)
Integrate the physical point list inarray over pyramidic region and return the value.
Definition: PyrExp.cpp:110
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
void Interp2D(const BasisKey &fbasis0, const BasisKey &fbasis1, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, Array< OneD, NekDouble > &to)
this function interpolates a 2D function evaluated at the quadrature points of the 2D basis...
Definition: Interp.cpp:116
virtual void v_FwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coeffic...
Definition: PyrExp.cpp:219
DNekBlkMatSharedPtr GetStdStaticCondMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:705
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:199
virtual void v_GetCoords(Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
Definition: Expansion.cpp:213
int GetNumPoints() const
Return points order at which basis is defined.
Definition: Basis.h:128
boost::shared_ptr< DNekScalBlkMat > DNekScalBlkMatSharedPtr
Definition: NekTypeDefs.hpp:74
void GetInteriorMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:821
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Defines a specification for a set of points.
Definition: Points.h:58
double NekDouble
virtual void v_PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
Calculate the derivative of the physical points.
Definition: PyrExp.cpp:137
std::map< int, NormalVector > m_faceNormals
void v_DropLocStaticCondMatrix(const MatrixKey &mkey)
Definition: PyrExp.cpp:779
boost::shared_ptr< DNekBlkMat > DNekBlkMatSharedPtr
Definition: NekTypeDefs.hpp:72
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
virtual DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey)
PointsKey GetPointsKey() const
Return distribution of points.
Definition: Basis.h:145
SpatialDomains::GeometrySharedPtr GetGeom() const
Definition: Expansion.cpp:150
boost::shared_ptr< GeomFactors > GeomFactorsSharedPtr
Pointer to a GeomFactors object.
Definition: GeomFactors.h:62
void Vvtvvtp(int n, const T *v, int incv, const T *w, int incw, const T *x, int incx, const T *y, int incy, T *z, int incz)
vvtvvtp (vector times vector plus vector times vector):
Definition: Vmath.cpp:523
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
Geometry is straight-sided with constant geometric factors.
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
void Svtsvtp(int n, const T alpha, const T *x, int incx, const T beta, const T *y, int incy, T *z, int incz)
vvtvvtp (scalar times vector plus scalar times vector):
Definition: Vmath.cpp:577
virtual DNekScalMatSharedPtr v_GetLocMatrix(const MatrixKey &mkey)
Definition: PyrExp.cpp:769
const LibUtilities::BasisKey DetFaceBasisKey(const int i, const int k) const
Definition: StdExpansion.h:324
GeomType
Indicates the type of element geometry.
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix(const MatrixKey &mkey)
Definition: PyrExp.cpp:774
virtual void v_GetCoords(Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
Definition: PyrExp.cpp:334
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
virtual NekDouble v_PhysEvaluate(const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
This function evaluates the expansion at a single (arbitrary) point of the domain.
Definition: PyrExp.cpp:342
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Array< OneD, LibUtilities::BasisSharedPtr > m_base
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Geometry is curved or has non-constant factors.
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:816
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PyrExp.h:151
Describes the specification for a Basis.
Definition: Basis.h:50
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
PyrExp(const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const SpatialDomains::PyrGeomSharedPtr &geom)
Constructor using BasisKey class for quadrature points and order definition.
Definition: PyrExp.cpp:44