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StdHexExp.cpp
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2 //
3 // File StdHexExp.cpp
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
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31 //
32 // Description: Heaxhedral methods
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #include <StdRegions/StdHexExp.h>
37 
38 #ifdef max
39 #undef max
40 #endif
41 
42 using namespace std;
43 
44 namespace Nektar
45 {
46  namespace StdRegions
47  {
48 
49  StdHexExp::StdHexExp()
50  {
51  }
52 
53 
54  StdHexExp::StdHexExp(const LibUtilities::BasisKey &Ba,
55  const LibUtilities::BasisKey &Bb,
56  const LibUtilities::BasisKey &Bc):
57  StdExpansion(Ba.GetNumModes()*Bb.GetNumModes()*Bc.GetNumModes(), 3,
58  Ba, Bb, Bc),
59  StdExpansion3D(Ba.GetNumModes()*Bb.GetNumModes()*Bc.GetNumModes(),
60  Ba, Bb, Bc)
61  {
62  }
63 
64 
65  StdHexExp::StdHexExp(const LibUtilities::BasisKey &Ba,
66  const LibUtilities::BasisKey &Bb,
67  const LibUtilities::BasisKey &Bc,
68  NekDouble *coeffs,
69  NekDouble *phys)
70  {
71  }
72 
73 
74  StdHexExp::StdHexExp(const StdHexExp &T):
75  StdExpansion(T),
76  StdExpansion3D(T)
77  {
78  }
79 
80 
81  StdHexExp::~StdHexExp()
82  {
83  }
84 
85  bool StdHexExp::v_IsBoundaryInteriorExpansion()
86  {
87  return (m_base[0]->GetBasisType() == LibUtilities::eModified_A) &&
88  (m_base[1]->GetBasisType() == LibUtilities::eModified_A) &&
89  (m_base[2]->GetBasisType() == LibUtilities::eModified_A);
90  }
91 
92 
93  ///////////////////////////////
94  /// Differentiation Methods
95  ///////////////////////////////
96  /**
97  * For Hexahedral region can use the PhysTensorDeriv function defined
98  * under StdExpansion. Following tenserproduct:
99  */
100  void StdHexExp::v_PhysDeriv(const Array<OneD, const NekDouble>& inarray,
101  Array<OneD, NekDouble> &out_d0,
102  Array<OneD, NekDouble> &out_d1,
103  Array<OneD, NekDouble> &out_d2)
104  {
105  StdExpansion3D::PhysTensorDeriv(inarray, out_d0, out_d1, out_d2);
106  }
107 
108 
109  /**
110  * @param dir Direction in which to compute derivative.
111  * Valid values are 0, 1, 2.
112  * @param inarray Input array.
113  * @param outarray Output array.
114  */
115  void StdHexExp::v_PhysDeriv(const int dir,
116  const Array<OneD, const NekDouble>& inarray,
117  Array<OneD, NekDouble>& outarray)
118  {
119  switch(dir)
120  {
121  case 0:
122  {
123  PhysDeriv(inarray, outarray, NullNekDouble1DArray,
124  NullNekDouble1DArray);
125  }
126  break;
127  case 1:
128  {
129  PhysDeriv(inarray, NullNekDouble1DArray, outarray,
130  NullNekDouble1DArray);
131  }
132  break;
133  case 2:
134  {
135  PhysDeriv(inarray, NullNekDouble1DArray,
136  NullNekDouble1DArray, outarray);
137  }
138  break;
139  default:
140  {
141  ASSERTL1(false,"input dir is out of range");
142  }
143  break;
144  }
145  }
146 
147  void StdHexExp::v_StdPhysDeriv(
148  const Array<OneD, const NekDouble> &inarray,
149  Array<OneD, NekDouble> &out_d0,
150  Array<OneD, NekDouble> &out_d1,
151  Array<OneD, NekDouble> &out_d2)
152  {
153  StdHexExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
154  }
155 
156 
157  void StdHexExp::v_StdPhysDeriv(const int dir,
158  const Array<OneD, const NekDouble>& inarray,
159  Array<OneD, NekDouble>& outarray)
160  {
161  StdHexExp::v_PhysDeriv(dir, inarray, outarray);
162  }
163 
164  /**
165  * Backward transformation is three dimensional tensorial expansion
166  * \f$ u (\xi_{1i}, \xi_{2j}, \xi_{3k})
167  * = \sum_{p=0}^{Q_x} \psi_p^a (\xi_{1i})
168  * \lbrace { \sum_{q=0}^{Q_y} \psi_{q}^a (\xi_{2j})
169  * \lbrace { \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{r}^a (\xi_{3k})
170  * \rbrace}
171  * \rbrace}. \f$
172  * And sumfactorizing step of the form is as:\\
173  * \f$ f_{r} (\xi_{3k})
174  * = \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{r}^a (\xi_{3k}),\\
175  * g_{p} (\xi_{2j}, \xi_{3k})
176  * = \sum_{r=0}^{Q_y} \psi_{p}^a (\xi_{2j}) f_{r} (\xi_{3k}),\\
177  * u(\xi_{1i}, \xi_{2j}, \xi_{3k})
178  * = \sum_{p=0}^{Q_x} \psi_{p}^a (\xi_{1i}) g_{p} (\xi_{2j}, \xi_{3k}).
179  * \f$
180  *
181  * @param inarray ?
182  * @param outarray ?
183  */
184  void StdHexExp::v_BwdTrans(
185  const Array<OneD, const NekDouble>& inarray,
186  Array<OneD, NekDouble> &outarray)
187  {
188  ASSERTL1( (m_base[1]->GetBasisType() != LibUtilities::eOrtho_B) ||
189  (m_base[1]->GetBasisType() != LibUtilities::eModified_B),
190  "Basis[1] is not a general tensor type");
191 
192  ASSERTL1( (m_base[2]->GetBasisType() != LibUtilities::eOrtho_C) ||
193  (m_base[2]->GetBasisType() != LibUtilities::eModified_C),
194  "Basis[2] is not a general tensor type");
195 
196  if(m_base[0]->Collocation() && m_base[1]->Collocation()
197  && m_base[2]->Collocation())
198  {
199  Vmath::Vcopy(m_base[0]->GetNumPoints()
200  * m_base[1]->GetNumPoints()
201  * m_base[2]->GetNumPoints(),
202  inarray, 1, outarray, 1);
203  }
204  else
205  {
206  StdHexExp::BwdTrans_SumFac(inarray,outarray);
207  }
208  }
209 
210 
211  /**
212  *
213  */
214  void StdHexExp::v_BwdTrans_SumFac(const Array<OneD, const NekDouble>& inarray,
215  Array<OneD, NekDouble> &outarray)
216  {
217  Array<OneD, NekDouble> wsp(m_base[0]->GetNumPoints()*
218  m_base[2]->GetNumModes()*
219  (m_base[1]->GetNumModes() + m_base[1]->GetNumPoints())); // FIX THIS
220 
221  BwdTrans_SumFacKernel(m_base[0]->GetBdata(),
222  m_base[1]->GetBdata(),
223  m_base[2]->GetBdata(),
224  inarray,outarray,wsp,true,true,true);
225  }
226 
227 
228  /**
229  * @param base0 x-dirn basis matrix
230  * @param base1 y-dirn basis matrix
231  * @param base2 z-dirn basis matrix
232  * @param inarray Input vector of modes.
233  * @param outarray Output vector of physical space data.
234  * @param wsp Workspace of size Q_x*P_z*(P_y+Q_y)
235  * @param doCheckCollDir0 Check for collocation of basis.
236  * @param doCheckCollDir1 Check for collocation of basis.
237  * @param doCheckCollDir2 Check for collocation of basis.
238  * @todo Account for some directions being collocated. See
239  * StdQuadExp as an example.
240  */
241  void StdHexExp::v_BwdTrans_SumFacKernel(
242  const Array<OneD, const NekDouble>& base0,
243  const Array<OneD, const NekDouble>& base1,
244  const Array<OneD, const NekDouble>& base2,
245  const Array<OneD, const NekDouble>& inarray,
246  Array<OneD, NekDouble> &outarray,
247  Array<OneD, NekDouble> &wsp,
248  bool doCheckCollDir0,
249  bool doCheckCollDir1,
250  bool doCheckCollDir2)
251  {
252  int nquad0 = m_base[0]->GetNumPoints();
253  int nquad1 = m_base[1]->GetNumPoints();
254  int nquad2 = m_base[2]->GetNumPoints();
255  int nmodes0 = m_base[0]->GetNumModes();
256  int nmodes1 = m_base[1]->GetNumModes();
257  int nmodes2 = m_base[2]->GetNumModes();
258 
259  // Check if using collocation, if requested.
260  bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
261  bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
262  bool colldir2 = doCheckCollDir2?(m_base[2]->Collocation()):false;
263 
264  // If collocation in all directions, Physical values at quadrature
265  // points is just a copy of the modes.
266  if(colldir0 && colldir1 && colldir2)
267  {
268  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
269  }
270  else
271  {
272  // Check sufficiently large workspace.
273  ASSERTL1(wsp.num_elements()>=nquad0*nmodes2*(nmodes1+nquad1),
274  "Workspace size is not sufficient");
275 
276  // Assign second half of workspace for 2nd DGEMM operation.
277  Array<OneD, NekDouble> wsp2 = wsp + nquad0*nmodes1*nmodes2;
278 
279  // BwdTrans in each direction using DGEMM
280  Blas::Dgemm('T','T', nmodes1*nmodes2, nquad0, nmodes0,
281  1.0, &inarray[0], nmodes0,
282  base0.get(), nquad0,
283  0.0, &wsp[0], nmodes1*nmodes2);
284  Blas::Dgemm('T','T', nquad0*nmodes2, nquad1, nmodes1,
285  1.0, &wsp[0], nmodes1,
286  base1.get(), nquad1,
287  0.0, &wsp2[0], nquad0*nmodes2);
288  Blas::Dgemm('T','T', nquad0*nquad1, nquad2, nmodes2,
289  1.0, &wsp2[0], nmodes2,
290  base2.get(), nquad2,
291  0.0, &outarray[0], nquad0*nquad1);
292  }
293  }
294 
295 
296  /**
297  * Solves the system
298  * \f$ \mathbf{B^{\top}WB\hat{u}}=\mathbf{B^{\top}Wu^{\delta}} \f$
299  *
300  * @param inarray array of physical quadrature points to be
301  * transformed, \f$ \mathbf{u^{\delta}} \f$.
302  * @param outarray array of expansion coefficients,
303  * \f$ \mathbf{\hat{u}} \f$.
304  */
305  void StdHexExp::v_FwdTrans(
306  const Array<OneD, const NekDouble>& inarray,
307  Array<OneD, NekDouble> &outarray)
308  {
309  // If using collocation expansion, coefficients match physical
310  // data points so just do a direct copy.
311  if( (m_base[0]->Collocation())
312  &&(m_base[1]->Collocation())
313  &&(m_base[2]->Collocation()) )
314  {
315  Vmath::Vcopy(GetNcoeffs(), &inarray[0], 1, &outarray[0], 1);
316  }
317  else
318  {
319  // Compute B^TWu
320  IProductWRTBase(inarray,outarray);
321 
322  // get Mass matrix inverse
323  StdMatrixKey masskey(eInvMass,DetShapeType(),*this);
324  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
325 
326  // copy inarray in case inarray == outarray
327  DNekVec in (m_ncoeffs,outarray);
328  DNekVec out(m_ncoeffs,outarray,eWrapper);
329 
330  // Solve for coefficients.
331  out = (*matsys)*in;
332 
333  }
334  }
335 
336  /**
337  * \f$
338  * \begin{array}{rcl}
339  * I_{pqr} = (\phi_{pqr}, u)_{\delta} & = &
340  * \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2}
341  * \psi_{p}^{a}(\xi_{1i}) \psi_{q}^{a}(\xi_{2j}) \psi_{r}^{a}(\xi_{3k})
342  * w_i w_j w_k u(\xi_{1,i} \xi_{2,j} \xi_{3,k})
343  *
344  * J_{i,j,k}\\ & = & \sum_{i=0}^{nq_0} \psi_p^a(\xi_{1,i})
345  * \sum_{j=0}^{nq_1} \psi_{q}^a(\xi_{2,j})
346  * \sum_{k=0}^{nq_2} \psi_{r}^a
347  * u(\xi_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k}
348  * \end{array} \f$ \n
349  * where
350  * \f$ \phi_{pqr} (\xi_1 , \xi_2 , \xi_3)
351  * = \psi_p^a( \xi_1) \psi_{q}^a(\xi_2) \psi_{r}^a(\xi_3) \f$ \n
352  * which can be implemented as \n
353  * \f$f_{r} (\xi_{3k})
354  * = \sum_{k=0}^{nq_3} \psi_{r}^a u(\xi_{1i},\xi_{2j}, \xi_{3k})
355  * J_{i,j,k} = {\bf B_3 U} \f$ \n
356  * \f$ g_{q} (\xi_{3k})
357  * = \sum_{j=0}^{nq_1} \psi_{q}^a(\xi_{2j}) f_{r}(\xi_{3k})
358  * = {\bf B_2 F} \f$ \n
359  * \f$ (\phi_{pqr}, u)_{\delta}
360  * = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k})
361  * = {\bf B_1 G} \f$
362  *
363  * @param inarray ?
364  * @param outarray ?
365  */
366  void StdHexExp::v_IProductWRTBase(
367  const Array<OneD, const NekDouble> &inarray,
368  Array<OneD, NekDouble> &outarray)
369  {
370  if(m_base[0]->Collocation() &&
371  m_base[1]->Collocation() &&
372  m_base[2]->Collocation())
373  {
374  MultiplyByQuadratureMetric(inarray,outarray);
375  }
376  else
377  {
378  StdHexExp::v_IProductWRTBase_SumFac(inarray,outarray);
379  }
380  }
381 
382  /**
383  * Implementation of the local matrix inner product operation.
384  */
385  void StdHexExp::v_IProductWRTBase_MatOp(const Array<OneD, const NekDouble>& inarray,
386  Array<OneD, NekDouble> &outarray)
387  {
388  int nq = GetTotPoints();
389  StdMatrixKey iprodmatkey(eIProductWRTBase,DetShapeType(),*this);
390  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
391 
392  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
393  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
394  }
395 
396  /**
397  * Implementation of the sum-factorization inner product operation.
398  */
399  void StdHexExp::v_IProductWRTBase_SumFac(
400  const Array<OneD, const NekDouble>& inarray,
401  Array<OneD, NekDouble> &outarray,
402  bool multiplybyweights)
403  {
404  int nquad0 = m_base[0]->GetNumPoints();
405  int nquad1 = m_base[1]->GetNumPoints();
406  int nquad2 = m_base[2]->GetNumPoints();
407  int order0 = m_base[0]->GetNumModes();
408  int order1 = m_base[1]->GetNumModes();
409 
410  Array<OneD, NekDouble> wsp(nquad0*nquad1*(nquad2+order0) +
411  order0*order1*nquad2);
412 
413  if(multiplybyweights)
414  {
415  Array<OneD, NekDouble> tmp(inarray.num_elements());
416  MultiplyByQuadratureMetric(inarray,tmp);
417 
418  StdHexExp::IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
419  m_base[1]->GetBdata(),
420  m_base[2]->GetBdata(),
421  tmp,outarray,wsp,true,true,true);
422  }
423  else
424  {
425  StdHexExp::IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
426  m_base[1]->GetBdata(),
427  m_base[2]->GetBdata(),
428  inarray,outarray,wsp,true,true,true);
429  }
430  }
431 
432 
433  /**
434  * Implementation of the sum-factorisation inner product operation.
435  * @todo Implement cases where only some directions are collocated.
436  */
437  void StdHexExp::v_IProductWRTBase_SumFacKernel(const Array<OneD, const NekDouble>& base0,
438  const Array<OneD, const NekDouble>& base1,
439  const Array<OneD, const NekDouble>& base2,
440  const Array<OneD, const NekDouble>& inarray,
441  Array<OneD, NekDouble> &outarray,
442  Array<OneD, NekDouble> &wsp,
443  bool doCheckCollDir0,
444  bool doCheckCollDir1,
445  bool doCheckCollDir2)
446  {
447  int nquad0 = m_base[0]->GetNumPoints();
448  int nquad1 = m_base[1]->GetNumPoints();
449  int nquad2 = m_base[2]->GetNumPoints();
450  int nmodes0 = m_base[0]->GetNumModes();
451  int nmodes1 = m_base[1]->GetNumModes();
452  int nmodes2 = m_base[2]->GetNumModes();
453 
454  bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
455  bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
456  bool colldir2 = doCheckCollDir2?(m_base[2]->Collocation()):false;
457 
458  if(colldir0 && colldir1 && colldir2)
459  {
460  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
461  }
462  else
463  {
464  ASSERTL1(wsp.num_elements() >= nmodes0*nquad2*(nquad1+nmodes1),
465  "Insufficient workspace size");
466 
467  Array<OneD, NekDouble> tmp0 = wsp;
468  Array<OneD, NekDouble> tmp1 = wsp + nmodes0*nquad1*nquad2;
469 
470 
471  if(colldir0)
472  {
473  // reshuffle data for next operation.
474  for(int n = 0; n < nmodes0; ++n)
475  {
476  Vmath::Vcopy(nquad1*nquad2,inarray.get()+n,nquad0,
477  tmp0.get()+nquad1*nquad2*n,1);
478  }
479  }
480  else
481  {
482  Blas::Dgemm('T', 'N', nquad1*nquad2, nmodes0, nquad0,
483  1.0, inarray.get(), nquad0,
484  base0.get(), nquad0,
485  0.0, tmp0.get(), nquad1*nquad2);
486  }
487 
488  if(colldir1)
489  {
490  // reshuffle data for next operation.
491  for(int n = 0; n < nmodes1; ++n)
492  {
493  Vmath::Vcopy(nquad2*nmodes0,tmp0.get()+n,nquad1,
494  tmp1.get()+nquad2*nmodes0*n,1);
495  }
496  }
497  else
498  {
499  Blas::Dgemm('T', 'N', nquad2*nmodes0, nmodes1, nquad1,
500  1.0, tmp0.get(), nquad1,
501  base1.get(), nquad1,
502  0.0, tmp1.get(), nquad2*nmodes0);
503  }
504 
505  if(colldir2)
506  {
507  // reshuffle data for next operation.
508  for(int n = 0; n < nmodes2; ++n)
509  {
510  Vmath::Vcopy(nmodes0*nmodes1,tmp1.get()+n,nquad2,
511  outarray.get()+nmodes0*nmodes1*n,1);
512  }
513  }
514  else
515  {
516  Blas::Dgemm('T', 'N', nmodes0*nmodes1, nmodes2, nquad2,
517  1.0, tmp1.get(), nquad2,
518  base2.get(), nquad2,
519  0.0, outarray.get(), nmodes0*nmodes1);
520  }
521  }
522  }
523 
524  void StdHexExp::v_IProductWRTDerivBase(const int dir,
525  const Array<OneD, const NekDouble>& inarray,
526  Array<OneD, NekDouble> & outarray)
527  {
528  StdHexExp::IProductWRTDerivBase_SumFac(dir,inarray,outarray);
529  }
530 
531 
532  void StdHexExp::v_IProductWRTDerivBase_MatOp(const int dir,
533  const Array<OneD, const NekDouble>& inarray,
534  Array<OneD, NekDouble> &outarray)
535  {
536  ASSERTL0((dir==0)||(dir==1)||(dir==2),"input dir is out of range");
537 
538  int nq = GetTotPoints();
539  MatrixType mtype;
540 
541  switch (dir)
542  {
543  case 0:
544  mtype = eIProductWRTDerivBase0;
545  break;
546  case 1:
547  mtype = eIProductWRTDerivBase1;
548  break;
549  case 2:
550  mtype = eIProductWRTDerivBase2;
551  break;
552  }
553 
554  StdMatrixKey iprodmatkey(mtype,DetShapeType(),*this);
555  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
556 
557  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
558  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
559  }
560 
561 
562  void StdHexExp::v_IProductWRTDerivBase_SumFac(const int dir,
563  const Array<OneD, const NekDouble>& inarray,
564  Array<OneD, NekDouble> &outarray)
565  {
566  ASSERTL0((dir==0)||(dir==1)||(dir==2),"input dir is out of range");
567 
568  int nquad1 = m_base[1]->GetNumPoints();
569  int nquad2 = m_base[2]->GetNumPoints();
570  int order0 = m_base[0]->GetNumModes();
571  int order1 = m_base[1]->GetNumModes();
572 
573  // If outarray > inarray then no need for temporary storage.
574  Array<OneD, NekDouble> tmp = outarray;
575  if (outarray.num_elements() < inarray.num_elements())
576  {
577  tmp = Array<OneD, NekDouble>(inarray.num_elements());
578  }
579 
580  // Need workspace for sumfackernel though
581  Array<OneD, NekDouble> wsp(order0*nquad2*(nquad1+order1));
582 
583  // multiply by integration constants
584  MultiplyByQuadratureMetric(inarray,tmp);
585 
586  // perform sum-factorisation
587  switch (dir)
588  {
589  case 0:
590  IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
591  m_base[1]->GetBdata(),
592  m_base[2]->GetBdata(),
593  tmp,outarray,wsp,
594  false,true,true);
595  break;
596  case 1:
597  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
598  m_base[1]->GetDbdata(),
599  m_base[2]->GetBdata(),
600  tmp,outarray,wsp,
601  true,false,true);
602  break;
603  case 2:
604  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
605  m_base[1]->GetBdata(),
606  m_base[2]->GetDbdata(),
607  tmp,outarray,wsp,
608  true,true,false);
609  break;
610  }
611  }
612 
613  void StdHexExp::v_LocCoordToLocCollapsed(const Array<OneD, const NekDouble>& xi,
614  Array<OneD, NekDouble>& eta)
615  {
616  eta[0] = xi[0];
617  eta[1] = xi[1];
618  eta[2] = xi[2];
619  }
620 
621  /**
622  * @note for hexahedral expansions _base[0] (i.e. p) modes run fastest.
623  */
624  void StdHexExp::v_FillMode(const int mode,
625  Array<OneD, NekDouble> &outarray)
626  {
627  int i,j;
628  int nquad0 = m_base[0]->GetNumPoints();
629  int nquad1 = m_base[1]->GetNumPoints();
630  int nquad2 = m_base[2]->GetNumPoints();
631 
632  Array<OneD, const NekDouble> base0 = m_base[0]->GetBdata();
633  Array<OneD, const NekDouble> base1 = m_base[1]->GetBdata();
634  Array<OneD, const NekDouble> base2 = m_base[2]->GetBdata();
635 
636  int btmp0 = m_base[0]->GetNumModes();
637  int btmp1 = m_base[1]->GetNumModes();
638  int mode2 = mode/(btmp0*btmp1);
639  int mode1 = (mode-mode2*btmp0*btmp1)/btmp0;
640  int mode0 = (mode-mode2*btmp0*btmp1)%btmp0;
641 
642  ASSERTL2(mode2 == (int)floor((1.0*mode)/(btmp0*btmp1)),
643  "Integer Truncation not Equiv to Floor");
644  ASSERTL2(mode1 == (int)floor((1.0*mode-mode2*btmp0*btmp1)
645  /(btmp0*btmp1)),
646  "Integer Truncation not Equiv to Floor");
647  ASSERTL2(m_ncoeffs <= mode,
648  "calling argument mode is larger than total expansion "
649  "order");
650 
651  for(i = 0; i < nquad1*nquad2; ++i)
652  {
653  Vmath::Vcopy(nquad0,(NekDouble *)(base0.get() + mode0*nquad0),1,
654  &outarray[0]+i*nquad0, 1);
655  }
656 
657  for(j = 0; j < nquad2; ++j)
658  {
659  for(i = 0; i < nquad0; ++i)
660  {
661  Vmath::Vmul(nquad1,(NekDouble *)(base1.get() + mode1*nquad1),1,
662  &outarray[0]+i+j*nquad0*nquad1, nquad0,
663  &outarray[0]+i+j*nquad0*nquad1, nquad0);
664  }
665  }
666 
667  for(i = 0; i < nquad2; i++)
668  {
669  Blas::Dscal(nquad0*nquad1,base2[mode2*nquad2+i],
670  &outarray[0]+i*nquad0*nquad1,1);
671  }
672  }
673 
674 
675  int StdHexExp::v_GetNverts() const
676  {
677  return 8;
678  }
679 
680 
681  int StdHexExp::v_GetNedges() const
682  {
683  return 12;
684  }
685 
686 
687  int StdHexExp::v_GetNfaces() const
688  {
689  return 6;
690  }
691 
692 
693  LibUtilities::ShapeType StdHexExp::v_DetShapeType() const
694  {
695  return LibUtilities::eHexahedron;
696  };
697 
698 
699  int StdHexExp::v_NumBndryCoeffs() const
700  {
701  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
702  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
703  "BasisType is not a boundary interior form");
704  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
705  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
706  "BasisType is not a boundary interior form");
707  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
708  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
709  "BasisType is not a boundary interior form");
710 
711  int nmodes0 = m_base[0]->GetNumModes();
712  int nmodes1 = m_base[1]->GetNumModes();
713  int nmodes2 = m_base[2]->GetNumModes();
714 
715  return ( 2*( nmodes0*nmodes1 + nmodes0*nmodes2
716  + nmodes1*nmodes2)
717  - 4*( nmodes0 + nmodes1 + nmodes2 ) + 8 );
718  }
719 
720  int StdHexExp::v_NumDGBndryCoeffs() const
721  {
722  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
723  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
724  "BasisType is not a boundary interior form");
725  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
726  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
727  "BasisType is not a boundary interior form");
728  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
729  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
730  "BasisType is not a boundary interior form");
731 
732  int nmodes0 = m_base[0]->GetNumModes();
733  int nmodes1 = m_base[1]->GetNumModes();
734  int nmodes2 = m_base[2]->GetNumModes();
735 
736  return 2*( nmodes0*nmodes1 + nmodes0*nmodes2
737  + nmodes1*nmodes2 );
738  }
739 
740  int StdHexExp::v_GetEdgeNcoeffs(const int i) const
741  {
742  ASSERTL2((i >= 0)&&(i <= 11),"edge id is out of range");
743 
744  if((i == 0)||(i == 2)||(i == 8)||(i == 10))
745  {
746  return GetBasisNumModes(0);
747  }
748  else if((i == 1)||(i == 3)||(i == 9)||(i == 11))
749  {
750  return GetBasisNumModes(1);
751  }
752  else
753  {
754  return GetBasisNumModes(2);
755  }
756  }
757 
758  int StdHexExp::v_GetTotalEdgeIntNcoeffs() const
759  {
760  return 4*(GetBasisNumModes(0)+GetBasisNumModes(1)+GetBasisNumModes(2));
761  }
762 
763 
764  int StdHexExp::v_GetFaceNcoeffs(const int i) const
765  {
766  ASSERTL2((i >= 0) && (i <= 5), "face id is out of range");
767  if((i == 0) || (i == 5))
768  {
769  return GetBasisNumModes(0)*GetBasisNumModes(1);
770  }
771  else if((i == 1) || (i == 3))
772  {
773  return GetBasisNumModes(0)*GetBasisNumModes(2);
774  }
775  else
776  {
777  return GetBasisNumModes(1)*GetBasisNumModes(2);
778  }
779  }
780 
781 
782  int StdHexExp::v_GetFaceIntNcoeffs(const int i) const
783  {
784  ASSERTL2((i >= 0) && (i <= 5), "face id is out of range");
785  if((i == 0) || (i == 5))
786  {
787  return (GetBasisNumModes(0)-2)*(GetBasisNumModes(1)-2);
788  }
789  else if((i == 1) || (i == 3))
790  {
791  return (GetBasisNumModes(0)-2)*(GetBasisNumModes(2)-2);
792  }
793  else
794  {
795  return (GetBasisNumModes(1)-2)*(GetBasisNumModes(2)-2);
796  }
797 
798  }
799 
800  int StdHexExp::v_GetTotalFaceIntNcoeffs() const
801  {
802  return 2*((GetBasisNumModes(0)-2)*(GetBasisNumModes(1)-2)+
803  (GetBasisNumModes(0)-2)*(GetBasisNumModes(2)-2)+
804  (GetBasisNumModes(1)-2)*(GetBasisNumModes(2)-2));
805  }
806 
807  int StdHexExp::v_GetFaceNumPoints(const int i) const
808  {
809  ASSERTL2(i >= 0 && i <= 5, "face id is out of range");
810 
811  if (i == 0 || i == 5)
812  {
813  return m_base[0]->GetNumPoints()*
814  m_base[1]->GetNumPoints();
815  }
816  else if (i == 1 || i == 3)
817  {
818  return m_base[0]->GetNumPoints()*
819  m_base[2]->GetNumPoints();
820  }
821  else
822  {
823  return m_base[1]->GetNumPoints()*
824  m_base[2]->GetNumPoints();
825  }
826  }
827 
828  LibUtilities::PointsKey StdHexExp::v_GetFacePointsKey(
829  const int i, const int j) const
830  {
831  ASSERTL2(i >= 0 && i <= 5, "face id is out of range");
832  ASSERTL2(j == 0 || j == 1, "face direction is out of range");
833 
834  if (i == 0 || i == 5)
835  {
836  return m_base[j]->GetPointsKey();
837  }
838  else if (i == 1 || i == 3)
839  {
840  return m_base[2*j]->GetPointsKey();
841  }
842  else
843  {
844  return m_base[j+1]->GetPointsKey();
845  }
846  }
847 
848  int StdHexExp::v_CalcNumberOfCoefficients(const std::vector<unsigned int> &nummodes, int &modes_offset)
849  {
850  int nmodes = nummodes[modes_offset]*nummodes[modes_offset+1]*nummodes[modes_offset+2];
851  modes_offset += 3;
852 
853  return nmodes;
854  }
855 
856 
857  const LibUtilities::BasisKey StdHexExp::v_DetFaceBasisKey(
858  const int i, const int k) const
859  {
860  ASSERTL2(i >= 0 && i <= 5, "face id is out of range");
861  ASSERTL2(k >= 0 && k <= 1, "basis key id is out of range");
862 
863  int dir = k;
864  switch(i)
865  {
866  case 0:
867  case 5:
868  dir = k;
869  break;
870  case 1:
871  case 3:
872  dir = 2*k;
873  break;
874  case 2:
875  case 4:
876  dir = k+1;
877  break;
878  }
879 
880  return EvaluateQuadFaceBasisKey(k,
881  m_base[dir]->GetBasisType(),
882  m_base[dir]->GetNumPoints(),
883  m_base[dir]->GetNumModes());
884  }
885 
886  LibUtilities::BasisType StdHexExp::v_GetEdgeBasisType(const int i) const
887  {
888  ASSERTL2((i >= 0)&&(i <= 11),"edge id is out of range");
889 
890  if((i == 0)||(i == 2)||(i==8)||(i==10))
891  {
892  return GetBasisType(0);
893  }
894  else if((i == 1)||(i == 3)||(i == 9)||(i == 11))
895  {
896  return GetBasisType(1);
897  }
898  else
899  {
900  return GetBasisType(2);
901  }
902  }
903 
904  void StdHexExp::v_GetCoords( Array<OneD, NekDouble> & xi_x,
905  Array<OneD, NekDouble> & xi_y,
906  Array<OneD, NekDouble> & xi_z)
907  {
908  Array<OneD, const NekDouble> eta_x = m_base[0]->GetZ();
909  Array<OneD, const NekDouble> eta_y = m_base[1]->GetZ();
910  Array<OneD, const NekDouble> eta_z = m_base[2]->GetZ();
911  int Qx = GetNumPoints(0);
912  int Qy = GetNumPoints(1);
913  int Qz = GetNumPoints(2);
914 
915  // Convert collapsed coordinates into cartesian coordinates:
916  // eta --> xi
917  for( int k = 0; k < Qz; ++k ) {
918  for( int j = 0; j < Qy; ++j ) {
919  for( int i = 0; i < Qx; ++i ) {
920  int s = i + Qx*(j + Qy*k);
921  xi_x[s] = eta_x[i];
922  xi_y[s] = eta_y[j];
923  xi_z[s] = eta_z[k];
924 
925  }
926  }
927  }
928  }
929 
930 
931  /**
932  * Only for basis type Modified_A or GLL_LAGRANGE in all directions.
933  */
934  void StdHexExp::v_GetFaceToElementMap(
935  const int fid,
936  const Orientation faceOrient,
937  Array<OneD, unsigned int> &maparray,
938  Array<OneD, int> &signarray,
939  int P,
940  int Q)
941  {
942  int i,j;
943  int nummodesA, nummodesB;
944 
945  ASSERTL1(GetEdgeBasisType(0) == GetEdgeBasisType(1) &&
946  GetEdgeBasisType(0) == GetEdgeBasisType(2),
947  "Method only implemented if BasisType is indentical in "
948  "all directions");
949  ASSERTL1(GetEdgeBasisType(0) == LibUtilities::eModified_A ||
950  GetEdgeBasisType(0) == LibUtilities::eGLL_Lagrange,
951  "Method only implemented for Modified_A or GLL_Lagrange BasisType");
952 
953  const int nummodes0 = m_base[0]->GetNumModes();
954  const int nummodes1 = m_base[1]->GetNumModes();
955  const int nummodes2 = m_base[2]->GetNumModes();
956 
957  switch(fid)
958  {
959  case 0:
960  case 5:
961  nummodesA = nummodes0;
962  nummodesB = nummodes1;
963  break;
964  case 1:
965  case 3:
966  nummodesA = nummodes0;
967  nummodesB = nummodes2;
968  break;
969  case 2:
970  case 4:
971  nummodesA = nummodes1;
972  nummodesB = nummodes2;
973  break;
974  }
975 
976  bool CheckForZeroedModes = false;
977 
978  if (P == -1)
979  {
980  P = nummodesA;
981  Q = nummodesB;
982  }
983 
984  if((P != nummodesA)||(Q != nummodesB))
985  {
986  CheckForZeroedModes = true;
987  }
988 
989  bool modified = (GetEdgeBasisType(0) == LibUtilities::eModified_A);
990  int nFaceCoeffs = P*Q;
991 
992  if(maparray.num_elements() != nFaceCoeffs)
993  {
994  maparray = Array<OneD, unsigned int>(nFaceCoeffs);
995  }
996 
997  if(signarray.num_elements() != nFaceCoeffs)
998  {
999  signarray = Array<OneD, int>(nFaceCoeffs,1);
1000  }
1001  else
1002  {
1003  fill( signarray.get() , signarray.get()+nFaceCoeffs, 1 );
1004  }
1005 
1006  Array<OneD, int> arrayindx(nFaceCoeffs);
1007 
1008  for(i = 0; i < Q; i++)
1009  {
1010  for(j = 0; j < P; j++)
1011  {
1012  if( faceOrient < 9 )
1013  {
1014  arrayindx[i*P+j] = i*P+j;
1015  }
1016  else
1017  {
1018  arrayindx[i*P+j] = j*Q+i;
1019  }
1020  }
1021  }
1022 
1023  int offset = 0;
1024  int jump1 = 1;
1025  int jump2 = 1;
1026 
1027  switch(fid)
1028  {
1029  case 5:
1030  {
1031  if (modified)
1032  {
1033  offset = nummodes0*nummodes1;
1034  }
1035  else
1036  {
1037  offset = (nummodes2-1)*nummodes0*nummodes1;
1038  jump1 = nummodes0;
1039  }
1040  }
1041  case 0:
1042  {
1043  jump1 = nummodes0;
1044  }
1045  break;
1046  case 3:
1047  {
1048  if (modified)
1049  {
1050  offset = nummodes0;
1051  }
1052  else
1053  {
1054  offset = nummodes0*(nummodes1-1);
1055  jump1 = nummodes0*nummodes1;
1056  }
1057  }
1058  case 1:
1059  {
1060  jump1 = nummodes0*nummodes1;
1061  }
1062  break;
1063  case 2:
1064  {
1065  if (modified)
1066  {
1067  offset = 1;
1068  }
1069  else
1070  {
1071  offset = nummodes0-1;
1072  jump1 = nummodes0*nummodes1;
1073  jump2 = nummodes0;
1074 
1075  }
1076  }
1077  case 4:
1078  {
1079  jump1 = nummodes0*nummodes1;
1080  jump2 = nummodes0;
1081  }
1082  break;
1083  default:
1084  ASSERTL0(false,"fid must be between 0 and 5");
1085  }
1086 
1087  for(i = 0; i < Q; i++)
1088  {
1089  for(j = 0; j < P; j++)
1090  {
1091  maparray[ arrayindx[i*P+j] ]
1092  = i*jump1 + j*jump2 + offset;
1093  }
1094  }
1095 
1096 
1097  if(CheckForZeroedModes)
1098  {
1099  if(modified)
1100  {
1101  // zero signmap and set maparray to zero if elemental
1102  // modes are not as large as face modesl
1103  for(i = 0; i < nummodesB; i++)
1104  {
1105  for(j = nummodesA; j < P; j++)
1106  {
1107  signarray[arrayindx[i*P+j]] = 0.0;
1108  maparray[arrayindx[i*P+j]] = maparray[0];
1109  }
1110  }
1111 
1112  for(i = nummodesB; i < Q; i++)
1113  {
1114  for(j = 0; j < P; j++)
1115  {
1116  signarray[arrayindx[i*P+j]] = 0.0;
1117  maparray[arrayindx[i*P+j]] = maparray[0];
1118  }
1119  }
1120  }
1121  else
1122  {
1123  ASSERTL0(false,"Different trace space face dimention and element face dimention not possible for GLL-Lagrange bases");
1124  }
1125  }
1126 
1127  if( (faceOrient==6) || (faceOrient==8) ||
1128  (faceOrient==11) || (faceOrient==12) )
1129  {
1130  if(faceOrient<9)
1131  {
1132  if (modified)
1133  {
1134  for(i = 3; i < Q; i+=2)
1135  {
1136  for(j = 0; j < P; j++)
1137  {
1138  signarray[ arrayindx[i*P+j] ] *= -1;
1139  }
1140  }
1141 
1142  for(i = 0; i < P; i++)
1143  {
1144  swap( maparray[i] , maparray[i+P] );
1145  swap( signarray[i] , signarray[i+P] );
1146  }
1147 
1148  }
1149  else
1150  {
1151  for(i = 0; i < P; i++)
1152  {
1153  for(j = 0; j < Q/2; j++)
1154  {
1155  swap( maparray[i + j*P],
1156  maparray[i+P*Q
1157  -P -j*P] );
1158  swap( signarray[i + j*P],
1159  signarray[i+P*Q
1160  -P -j*P]);
1161  }
1162  }
1163  }
1164  }
1165  else
1166  {
1167  if (modified)
1168  {
1169  for(i = 0; i < Q; i++)
1170  {
1171  for(j = 3; j < P; j+=2)
1172  {
1173  signarray[ arrayindx[i*P+j] ] *= -1;
1174  }
1175  }
1176 
1177  for(i = 0; i < Q; i++)
1178  {
1179  swap( maparray[i] , maparray[i+Q] );
1180  swap( signarray[i] , signarray[i+Q] );
1181  }
1182 
1183  }
1184  else
1185  {
1186  for(i = 0; i < P; i++)
1187  {
1188  for(j = 0; j < Q/2; j++)
1189  {
1190  swap( maparray[i*Q + j],
1191  maparray[i*Q + Q -1 -j]);
1192  swap( signarray[i*Q + j],
1193  signarray[i*Q + Q -1 -j]);
1194  }
1195  }
1196  }
1197  }
1198  }
1199 
1200  if( (faceOrient==7) || (faceOrient==8) ||
1201  (faceOrient==10) || (faceOrient==12) )
1202  {
1203  if(faceOrient<9)
1204  {
1205  if (modified)
1206  {
1207  for(i = 0; i < Q; i++)
1208  {
1209  for(j = 3; j < P; j+=2)
1210  {
1211  signarray[ arrayindx[i*P+j] ] *= -1;
1212  }
1213  }
1214 
1215  for(i = 0; i < Q; i++)
1216  {
1217  swap( maparray[i*P],
1218  maparray[i*P+1]);
1219  swap( signarray[i*P],
1220  signarray[i*P+1]);
1221  }
1222  }
1223  else
1224  {
1225  for(i = 0; i < Q; i++)
1226  {
1227  for(j = 0; j < P/2; j++)
1228  {
1229  swap( maparray[i*P + j],
1230  maparray[i*P + P -1 -j]);
1231  swap( signarray[i*P + j],
1232  signarray[i*P + P -1 -j]);
1233  }
1234  }
1235  }
1236 
1237 
1238 
1239  }
1240  else
1241  {
1242  if (modified)
1243  {
1244  for(i = 3; i < Q; i+=2)
1245  {
1246  for(j = 0; j < P; j++)
1247  {
1248  signarray[ arrayindx[i*P+j] ] *= -1;
1249  }
1250  }
1251 
1252  for(i = 0; i < P; i++)
1253  {
1254  swap( maparray[i*Q],
1255  maparray[i*Q+1]);
1256  swap( signarray[i*Q],
1257  signarray[i*Q+1]);
1258  }
1259  }
1260  else
1261  {
1262  for(i = 0; i < Q; i++)
1263  {
1264  for(j = 0; j < P/2; j++)
1265  {
1266  swap( maparray[i + j*Q] ,
1267  maparray[i+P*Q - Q -j*Q] );
1268  swap( signarray[i + j*Q] ,
1269  signarray[i+P*Q - Q -j*Q] );
1270  }
1271  }
1272  }
1273  }
1274  }
1275  }
1276 
1277 
1278 
1279  /**
1280  * Expansions in each of the three dimensions must be of type
1281  * LibUtilities#eModified_A or LibUtilities#eGLL_Lagrange.
1282  *
1283  * @param localVertexId ID of vertex (0..7)
1284  * @returns Position of vertex in local numbering scheme.
1285  */
1286  int StdHexExp::v_GetVertexMap(const int localVertexId, bool useCoeffPacking)
1287  {
1288  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1289  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1290  "BasisType is not a boundary interior form");
1291  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1292  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1293  "BasisType is not a boundary interior form");
1294  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
1295  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1296  "BasisType is not a boundary interior form");
1297 
1298  ASSERTL1((localVertexId>=0)&&(localVertexId<8),
1299  "local vertex id must be between 0 and 7");
1300 
1301  int p = 0;
1302  int q = 0;
1303  int r = 0;
1304 
1305  // Retrieve the number of modes in each dimension.
1306  int nummodes [3] = {m_base[0]->GetNumModes(),
1307  m_base[1]->GetNumModes(),
1308  m_base[2]->GetNumModes()};
1309 
1310  if(useCoeffPacking == true) // follow packing of coefficients i.e q,r,p
1311  {
1312  if(localVertexId > 3)
1313  {
1314  if( GetBasisType(2) == LibUtilities::eGLL_Lagrange)
1315  {
1316  r = nummodes[2]-1;
1317  }
1318  else
1319  {
1320  r = 1;
1321  }
1322  }
1323 
1324  switch(localVertexId % 4)
1325  {
1326  case 0:
1327  break;
1328  case 1:
1329  {
1330  if( GetBasisType(0) == LibUtilities::eGLL_Lagrange)
1331  {
1332  p = nummodes[0]-1;
1333  }
1334  else
1335  {
1336  p = 1;
1337  }
1338  }
1339  break;
1340  case 2:
1341  {
1342  if( GetBasisType(1) == LibUtilities::eGLL_Lagrange)
1343  {
1344  q = nummodes[1]-1;
1345  }
1346  else
1347  {
1348  q = 1;
1349  }
1350  }
1351  break;
1352  case 3:
1353  {
1354  if( GetBasisType(1) == LibUtilities::eGLL_Lagrange)
1355  {
1356  p = nummodes[0]-1;
1357  q = nummodes[1]-1;
1358  }
1359  else
1360  {
1361  p = 1;
1362  q = 1;
1363  }
1364  }
1365  break;
1366  }
1367  }
1368  else
1369  {
1370  // Right face (vertices 1,2,5,6)
1371  if( (localVertexId % 4) % 3 > 0 )
1372  {
1373  if( GetBasisType(0) == LibUtilities::eGLL_Lagrange)
1374  {
1375  p = nummodes[0]-1;
1376  }
1377  else
1378  {
1379  p = 1;
1380  }
1381  }
1382 
1383  // Back face (vertices 2,3,6,7)
1384  if( localVertexId % 4 > 1 )
1385  {
1386  if( GetBasisType(1) == LibUtilities::eGLL_Lagrange)
1387  {
1388  q = nummodes[1]-1;
1389  }
1390  else
1391  {
1392  q = 1;
1393  }
1394  }
1395 
1396  // Top face (vertices 4,5,6,7)
1397  if( localVertexId > 3)
1398  {
1399  if( GetBasisType(2) == LibUtilities::eGLL_Lagrange)
1400  {
1401  r = nummodes[2]-1;
1402  }
1403  else
1404  {
1405  r = 1;
1406  }
1407  }
1408  }
1409  // Compute the local number.
1410  return r*nummodes[0]*nummodes[1] + q*nummodes[0] + p;
1411  }
1412 
1413 
1414  /**
1415  * @param eid The edge to compute the numbering for.
1416  * @param edgeOrient Orientation of the edge.
1417  * @param maparray Storage for computed mapping array.
1418  * @param signarray ?
1419  */
1420  void StdHexExp::v_GetEdgeInteriorMap(const int eid,
1421  const Orientation edgeOrient,
1422  Array<OneD, unsigned int> &maparray,
1423  Array<OneD, int> &signarray)
1424  {
1425  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1426  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1427  "BasisType is not a boundary interior form");
1428  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1429  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1430  "BasisType is not a boundary interior form");
1431  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
1432  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1433  "BasisType is not a boundary interior form");
1434 
1435  ASSERTL1((eid>=0)&&(eid<12),
1436  "local edge id must be between 0 and 11");
1437 
1438  int nEdgeIntCoeffs = GetEdgeNcoeffs(eid)-2;
1439 
1440  if(maparray.num_elements()!=nEdgeIntCoeffs)
1441  {
1442  maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
1443  }
1444 
1445  if(signarray.num_elements() != nEdgeIntCoeffs)
1446  {
1447  signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
1448  }
1449  else
1450  {
1451  fill( signarray.get() , signarray.get()+nEdgeIntCoeffs, 1 );
1452  }
1453 
1454  int nummodes [3] = {m_base[0]->GetNumModes(),
1455  m_base[1]->GetNumModes(),
1456  m_base[2]->GetNumModes()};
1457 
1458  const LibUtilities::BasisType bType [3] = {GetBasisType(0),
1459  GetBasisType(1),
1460  GetBasisType(2)};
1461 
1462  bool reverseOrdering = false;
1463  bool signChange = false;
1464 
1465  int IdxRange [3][2] = {{0,0},{0,0},{0,0}};
1466 
1467  switch(eid)
1468  {
1469  case 0:
1470  case 1:
1471  case 2:
1472  case 3:
1473  {
1474  IdxRange[2][0] = 0;
1475  IdxRange[2][1] = 1;
1476  }
1477  break;
1478  case 8:
1479  case 9:
1480  case 10:
1481  case 11:
1482  {
1483  if( bType[2] == LibUtilities::eGLL_Lagrange)
1484  {
1485  IdxRange[2][0] = nummodes[2] - 1;
1486  IdxRange[2][1] = nummodes[2];
1487  }
1488  else
1489  {
1490  IdxRange[2][0] = 1;
1491  IdxRange[2][1] = 2;
1492  }
1493  }
1494  break;
1495  case 4:
1496  case 5:
1497  case 6:
1498  case 7:
1499  {
1500  if( bType[2] == LibUtilities::eGLL_Lagrange)
1501  {
1502  IdxRange[2][0] = 1;
1503  IdxRange[2][1] = nummodes[2] - 1;
1504 
1505  if(edgeOrient==eBackwards)
1506  {
1507  reverseOrdering = true;
1508  }
1509  }
1510  else
1511  {
1512  IdxRange[2][0] = 2;
1513  IdxRange[2][1] = nummodes[2];
1514 
1515  if(edgeOrient==eBackwards)
1516  {
1517  signChange = true;
1518  }
1519  }
1520  }
1521  break;
1522  }
1523 
1524  switch(eid)
1525  {
1526  case 0:
1527  case 4:
1528  case 5:
1529  case 8:
1530  {
1531  IdxRange[1][0] = 0;
1532  IdxRange[1][1] = 1;
1533  }
1534  break;
1535  case 2:
1536  case 6:
1537  case 7:
1538  case 10:
1539  {
1540  if( bType[1] == LibUtilities::eGLL_Lagrange)
1541  {
1542  IdxRange[1][0] = nummodes[1] - 1;
1543  IdxRange[1][1] = nummodes[1];
1544  }
1545  else
1546  {
1547  IdxRange[1][0] = 1;
1548  IdxRange[1][1] = 2;
1549  }
1550  }
1551  break;
1552  case 1:
1553  case 9:
1554  {
1555  if( bType[1] == LibUtilities::eGLL_Lagrange)
1556  {
1557  IdxRange[1][0] = 1;
1558  IdxRange[1][1] = nummodes[1] - 1;
1559 
1560  if(edgeOrient==eBackwards)
1561  {
1562  reverseOrdering = true;
1563  }
1564  }
1565  else
1566  {
1567  IdxRange[1][0] = 2;
1568  IdxRange[1][1] = nummodes[1];
1569 
1570  if(edgeOrient==eBackwards)
1571  {
1572  signChange = true;
1573  }
1574  }
1575  }
1576  break;
1577  case 3:
1578  case 11:
1579  {
1580  if( bType[1] == LibUtilities::eGLL_Lagrange)
1581  {
1582  IdxRange[1][0] = 1;
1583  IdxRange[1][1] = nummodes[1] - 1;
1584 
1585  if(edgeOrient==eForwards)
1586  {
1587  reverseOrdering = true;
1588  }
1589  }
1590  else
1591  {
1592  IdxRange[1][0] = 2;
1593  IdxRange[1][1] = nummodes[1];
1594 
1595  if(edgeOrient==eForwards)
1596  {
1597  signChange = true;
1598  }
1599  }
1600  }
1601  break;
1602  }
1603 
1604  switch(eid)
1605  {
1606  case 3:
1607  case 4:
1608  case 7:
1609  case 11:
1610  {
1611  IdxRange[0][0] = 0;
1612  IdxRange[0][1] = 1;
1613  }
1614  break;
1615  case 1:
1616  case 5:
1617  case 6:
1618  case 9:
1619  {
1620  if( bType[0] == LibUtilities::eGLL_Lagrange)
1621  {
1622  IdxRange[0][0] = nummodes[0] - 1;
1623  IdxRange[0][1] = nummodes[0];
1624  }
1625  else
1626  {
1627  IdxRange[0][0] = 1;
1628  IdxRange[0][1] = 2;
1629  }
1630  }
1631  break;
1632  case 0:
1633  case 8:
1634  {
1635  if( bType[0] == LibUtilities::eGLL_Lagrange)
1636  {
1637  IdxRange[0][0] = 1;
1638  IdxRange[0][1] = nummodes[0] - 1;
1639 
1640  if(edgeOrient==eBackwards)
1641  {
1642  reverseOrdering = true;
1643  }
1644  }
1645  else
1646  {
1647  IdxRange[0][0] = 2;
1648  IdxRange[0][1] = nummodes[0];
1649 
1650  if(edgeOrient==eBackwards)
1651  {
1652  signChange = true;
1653  }
1654  }
1655  }
1656  break;
1657  case 2:
1658  case 10:
1659  {
1660  if( bType[0] == LibUtilities::eGLL_Lagrange)
1661  {
1662  IdxRange[0][0] = 1;
1663  IdxRange[0][1] = nummodes[0] - 1;
1664 
1665  if(edgeOrient==eForwards)
1666  {
1667  reverseOrdering = true;
1668  }
1669  }
1670  else
1671  {
1672  IdxRange[0][0] = 2;
1673  IdxRange[0][1] = nummodes[0];
1674 
1675  if(edgeOrient==eForwards)
1676  {
1677  signChange = true;
1678  }
1679  }
1680  }
1681  break;
1682  }
1683 
1684  int p,q,r;
1685  int cnt = 0;
1686 
1687  for(r = IdxRange[2][0]; r < IdxRange[2][1]; r++)
1688  {
1689  for(q = IdxRange[1][0]; q < IdxRange[1][1]; q++)
1690  {
1691  for(p = IdxRange[0][0]; p < IdxRange[0][1]; p++)
1692  {
1693  maparray[cnt++]
1694  = r*nummodes[0]*nummodes[1] + q*nummodes[0] + p;
1695  }
1696  }
1697  }
1698 
1699  if( reverseOrdering )
1700  {
1701  reverse( maparray.get() , maparray.get()+nEdgeIntCoeffs );
1702  }
1703 
1704  if( signChange )
1705  {
1706  for(p = 1; p < nEdgeIntCoeffs; p+=2)
1707  {
1708  signarray[p] = -1;
1709  }
1710  }
1711  }
1712 
1713 
1714  /**
1715  * Generate mapping describing which elemental modes lie on the
1716  * interior of a given face. Accounts for face orientation.
1717  */
1718  void StdHexExp::v_GetFaceInteriorMap(const int fid,
1719  const Orientation faceOrient,
1720  Array<OneD, unsigned int> &maparray,
1721  Array<OneD, int>& signarray)
1722  {
1723  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1724  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1725  "BasisType is not a boundary interior form");
1726  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1727  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1728  "BasisType is not a boundary interior form");
1729  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
1730  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1731  "BasisType is not a boundary interior form");
1732 
1733  ASSERTL1((fid>=0)&&(fid<6),
1734  "local face id must be between 0 and 5");
1735 
1736  int nFaceIntCoeffs = GetFaceIntNcoeffs(fid);
1737 
1738  if(maparray.num_elements()!=nFaceIntCoeffs)
1739  {
1740  maparray = Array<OneD, unsigned int>(nFaceIntCoeffs);
1741  }
1742 
1743  if(signarray.num_elements() != nFaceIntCoeffs)
1744  {
1745  signarray = Array<OneD, int>(nFaceIntCoeffs,1);
1746  }
1747  else
1748  {
1749  fill( signarray.get() , signarray.get()+nFaceIntCoeffs, 1 );
1750  }
1751 
1752  int nummodes [3] = {m_base[0]->GetNumModes(),
1753  m_base[1]->GetNumModes(),
1754  m_base[2]->GetNumModes()};
1755 
1756  const LibUtilities::BasisType bType [3] = {GetBasisType(0),
1757  GetBasisType(1),
1758  GetBasisType(2)};
1759 
1760  int nummodesA = 0;
1761  int nummodesB = 0;
1762 
1763  // Determine the number of modes in face directions A & B based
1764  // on the face index given.
1765  switch(fid)
1766  {
1767  case 0:
1768  case 5:
1769  {
1770  nummodesA = nummodes[0];
1771  nummodesB = nummodes[1];
1772  }
1773  break;
1774  case 1:
1775  case 3:
1776  {
1777  nummodesA = nummodes[0];
1778  nummodesB = nummodes[2];
1779  }
1780  break;
1781  case 2:
1782  case 4:
1783  {
1784  nummodesA = nummodes[1];
1785  nummodesB = nummodes[2];
1786  }
1787  }
1788 
1789  int i,j;
1790  Array<OneD, int> arrayindx(nFaceIntCoeffs);
1791 
1792  // Create a mapping array to account for transposition of the
1793  // coordinates due to face orientation.
1794  for(i = 0; i < (nummodesB-2); i++)
1795  {
1796  for(j = 0; j < (nummodesA-2); j++)
1797  {
1798  if( faceOrient < 9 )
1799  {
1800  arrayindx[i*(nummodesA-2)+j] = i*(nummodesA-2)+j;
1801  }
1802  else
1803  {
1804  arrayindx[i*(nummodesA-2)+j] = j*(nummodesB-2)+i;
1805  }
1806  }
1807  }
1808 
1809  int IdxRange [3][2];
1810  int Incr[3];
1811 
1812  Array<OneD, int> sign0(nummodes[0], 1);
1813  Array<OneD, int> sign1(nummodes[1], 1);
1814  Array<OneD, int> sign2(nummodes[2], 1);
1815 
1816  // Set the upper and lower bounds, and increment for the faces
1817  // involving the first coordinate direction.
1818  switch(fid)
1819  {
1820  case 0: // bottom face
1821  {
1822  IdxRange[2][0] = 0;
1823  IdxRange[2][1] = 1;
1824  Incr[2] = 1;
1825  }
1826  break;
1827  case 5: // top face
1828  {
1829  if( bType[2] == LibUtilities::eGLL_Lagrange)
1830  {
1831  IdxRange[2][0] = nummodes[2] - 1;
1832  IdxRange[2][1] = nummodes[2];
1833  Incr[2] = 1;
1834  }
1835  else
1836  {
1837  IdxRange[2][0] = 1;
1838  IdxRange[2][1] = 2;
1839  Incr[2] = 1;
1840  }
1841 
1842  }
1843  break;
1844  default: // all other faces
1845  {
1846  if( bType[2] == LibUtilities::eGLL_Lagrange)
1847  {
1848  if( (((int) faceOrient)-5) % 2 )
1849  {
1850  IdxRange[2][0] = nummodes[2] - 2;
1851  IdxRange[2][1] = 0;
1852  Incr[2] = -1;
1853 
1854  }
1855  else
1856  {
1857  IdxRange[2][0] = 1;
1858  IdxRange[2][1] = nummodes[2] - 1;
1859  Incr[2] = 1;
1860  }
1861  }
1862  else
1863  {
1864  IdxRange[2][0] = 2;
1865  IdxRange[2][1] = nummodes[2];
1866  Incr[2] = 1;
1867 
1868  if( (((int) faceOrient)-5) % 2 )
1869  {
1870  for(i = 3; i < nummodes[2]; i+=2)
1871  {
1872  sign2[i] = -1;
1873  }
1874  }
1875  }
1876  }
1877  }
1878 
1879  // Set the upper and lower bounds, and increment for the faces
1880  // involving the second coordinate direction.
1881  switch(fid)
1882  {
1883  case 1:
1884  {
1885  IdxRange[1][0] = 0;
1886  IdxRange[1][1] = 1;
1887  Incr[1] = 1;
1888  }
1889  break;
1890  case 3:
1891  {
1892  if( bType[1] == LibUtilities::eGLL_Lagrange)
1893  {
1894  IdxRange[1][0] = nummodes[1] - 1;
1895  IdxRange[1][1] = nummodes[1];
1896  Incr[1] = 1;
1897  }
1898  else
1899  {
1900  IdxRange[1][0] = 1;
1901  IdxRange[1][1] = 2;
1902  Incr[1] = 1;
1903  }
1904  }
1905  break;
1906  case 0:
1907  case 5:
1908  {
1909  if( bType[1] == LibUtilities::eGLL_Lagrange)
1910  {
1911  if( (((int) faceOrient)-5) % 2 )
1912  {
1913  IdxRange[1][0] = nummodes[1] - 2;
1914  IdxRange[1][1] = 0;
1915  Incr[1] = -1;
1916 
1917  }
1918  else
1919  {
1920  IdxRange[1][0] = 1;
1921  IdxRange[1][1] = nummodes[1] - 1;
1922  Incr[1] = 1;
1923  }
1924  }
1925  else
1926  {
1927  IdxRange[1][0] = 2;
1928  IdxRange[1][1] = nummodes[1];
1929  Incr[1] = 1;
1930 
1931  if( (((int) faceOrient)-5) % 2 )
1932  {
1933  for(i = 3; i < nummodes[1]; i+=2)
1934  {
1935  sign1[i] = -1;
1936  }
1937  }
1938  }
1939  }
1940  break;
1941  default: // case2: case4:
1942  {
1943  if( bType[1] == LibUtilities::eGLL_Lagrange)
1944  {
1945  if( (((int) faceOrient)-5) % 4 > 1 )
1946  {
1947  IdxRange[1][0] = nummodes[1] - 2;
1948  IdxRange[1][1] = 0;
1949  Incr[1] = -1;
1950 
1951  }
1952  else
1953  {
1954  IdxRange[1][0] = 1;
1955  IdxRange[1][1] = nummodes[1] - 1;
1956  Incr[1] = 1;
1957  }
1958  }
1959  else
1960  {
1961  IdxRange[1][0] = 2;
1962  IdxRange[1][1] = nummodes[1];
1963  Incr[1] = 1;
1964 
1965  if( (((int) faceOrient)-5) % 4 > 1 )
1966  {
1967  for(i = 3; i < nummodes[1]; i+=2)
1968  {
1969  sign1[i] = -1;
1970  }
1971  }
1972  }
1973  }
1974  }
1975 
1976  switch(fid)
1977  {
1978  case 4:
1979  {
1980  IdxRange[0][0] = 0;
1981  IdxRange[0][1] = 1;
1982  Incr[0] = 1;
1983  }
1984  break;
1985  case 2:
1986  {
1987  if( bType[0] == LibUtilities::eGLL_Lagrange)
1988  {
1989  IdxRange[0][0] = nummodes[0] - 1;
1990  IdxRange[0][1] = nummodes[0];
1991  Incr[0] = 1;
1992  }
1993  else
1994  {
1995  IdxRange[0][0] = 1;
1996  IdxRange[0][1] = 2;
1997  Incr[0] = 1;
1998  }
1999  }
2000  break;
2001  default:
2002  {
2003  if( bType[0] == LibUtilities::eGLL_Lagrange)
2004  {
2005  if( (((int) faceOrient)-5) % 4 > 1 )
2006  {
2007  IdxRange[0][0] = nummodes[0] - 2;
2008  IdxRange[0][1] = 0;
2009  Incr[0] = -1;
2010 
2011  }
2012  else
2013  {
2014  IdxRange[0][0] = 1;
2015  IdxRange[0][1] = nummodes[0] - 1;
2016  Incr[0] = 1;
2017  }
2018  }
2019  else
2020  {
2021  IdxRange[0][0] = 2;
2022  IdxRange[0][1] = nummodes[0];
2023  Incr[0] = 1;
2024 
2025  if( (((int) faceOrient)-5) % 4 > 1 )
2026  {
2027  for(i = 3; i < nummodes[0]; i+=2)
2028  {
2029  sign0[i] = -1;
2030  }
2031  }
2032  }
2033  }
2034  }
2035 
2036  int p,q,r;
2037  int cnt = 0;
2038 
2039  for(r = IdxRange[2][0]; r != IdxRange[2][1]; r+=Incr[2])
2040  {
2041  for(q = IdxRange[1][0]; q != IdxRange[1][1]; q+=Incr[1])
2042  {
2043  for(p = IdxRange[0][0]; p != IdxRange[0][1]; p+=Incr[0])
2044  {
2045  maparray [ arrayindx[cnt ] ]
2046  = r*nummodes[0]*nummodes[1] + q*nummodes[0] + p;
2047  signarray[ arrayindx[cnt++] ]
2048  = sign0[p] * sign1[q] * sign2[r];
2049  }
2050  }
2051  }
2052  }
2053 
2054 
2055  /**
2056  * @param outarray Storage area for computed map.
2057  */
2058  void StdHexExp::v_GetInteriorMap(Array<OneD, unsigned int>& outarray)
2059  {
2060  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
2061  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
2062  "BasisType is not a boundary interior form");
2063  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
2064  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
2065  "BasisType is not a boundary interior form");
2066  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
2067  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
2068  "BasisType is not a boundary interior form");
2069 
2070  int i;
2071  int nummodes [3] = {m_base[0]->GetNumModes(),
2072  m_base[1]->GetNumModes(),
2073  m_base[2]->GetNumModes()};
2074 
2075  int nIntCoeffs = m_ncoeffs - NumBndryCoeffs();
2076 
2077  if(outarray.num_elements() != nIntCoeffs)
2078  {
2079  outarray = Array<OneD, unsigned int>(nIntCoeffs);
2080  }
2081 
2082  const LibUtilities::BasisType Btype [3] = {GetBasisType(0),
2083  GetBasisType(1),
2084  GetBasisType(2)};
2085 
2086  int p,q,r;
2087  int cnt = 0;
2088 
2089  int IntIdx [3][2];
2090 
2091  for(i = 0; i < 3; i++)
2092  {
2093  if( Btype[i] == LibUtilities::eModified_A)
2094  {
2095  IntIdx[i][0] = 2;
2096  IntIdx[i][1] = nummodes[i];
2097  }
2098  else
2099  {
2100  IntIdx[i][0] = 1;
2101  IntIdx[i][1] = nummodes[i]-1;
2102  }
2103  }
2104 
2105  for(r = IntIdx[2][0]; r < IntIdx[2][1]; r++)
2106  {
2107  for( q = IntIdx[1][0]; q < IntIdx[1][1]; q++)
2108  {
2109  for( p = IntIdx[0][0]; p < IntIdx[0][1]; p++)
2110  {
2111  outarray[cnt++] = r*nummodes[0]*nummodes[1] +
2112  q*nummodes[0] + p;
2113  }
2114  }
2115  }
2116  }
2117 
2118 
2119  /**
2120  * @param outarray Storage for computed map.
2121  */
2122  void StdHexExp::v_GetBoundaryMap(Array<OneD, unsigned int>& outarray)
2123  {
2124  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
2125  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
2126  "BasisType is not a boundary interior form");
2127  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
2128  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
2129  "BasisType is not a boundary interior form");
2130  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_A ||
2131  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
2132  "BasisType is not a boundary interior form");
2133 
2134  int i;
2135  int nummodes [3] = {m_base[0]->GetNumModes(),
2136  m_base[1]->GetNumModes(),
2137  m_base[2]->GetNumModes()};
2138 
2139  int nBndCoeffs = NumBndryCoeffs();
2140 
2141  if(outarray.num_elements()!=nBndCoeffs)
2142  {
2143  outarray = Array<OneD, unsigned int>(nBndCoeffs);
2144  }
2145 
2146  const LibUtilities::BasisType Btype [3] = {GetBasisType(0),
2147  GetBasisType(1),
2148  GetBasisType(2)};
2149 
2150  int p,q,r;
2151  int cnt = 0;
2152 
2153  int BndIdx [3][2];
2154  int IntIdx [3][2];
2155 
2156  for(i = 0; i < 3; i++)
2157  {
2158  BndIdx[i][0] = 0;
2159 
2160  if( Btype[i] == LibUtilities::eModified_A)
2161  {
2162  BndIdx[i][1] = 1;
2163  IntIdx[i][0] = 2;
2164  IntIdx[i][1] = nummodes[i];
2165  }
2166  else
2167  {
2168  BndIdx[i][1] = nummodes[i]-1;
2169  IntIdx[i][0] = 1;
2170  IntIdx[i][1] = nummodes[i]-1;
2171  }
2172  }
2173 
2174 
2175  for(i = 0; i < 2; i++)
2176  {
2177  r = BndIdx[2][i];
2178  for( q = 0; q < nummodes[1]; q++)
2179  {
2180  for( p = 0; p < nummodes[0]; p++)
2181  {
2182  outarray[cnt++] = r*nummodes[0]*nummodes[1]+q*nummodes[0] + p;
2183  }
2184  }
2185  }
2186 
2187  for(r = IntIdx[2][0]; r < IntIdx[2][1]; r++)
2188  {
2189  for( i = 0; i < 2; i++)
2190  {
2191  q = BndIdx[1][i];
2192  for( p = 0; p < nummodes[0]; p++)
2193  {
2194  outarray[cnt++] = r*nummodes[0]*nummodes[1] +
2195  q*nummodes[0] + p;
2196  }
2197  }
2198 
2199  for( q = IntIdx[1][0]; q < IntIdx[1][1]; q++)
2200  {
2201  for( i = 0; i < 2; i++)
2202  {
2203  p = BndIdx[0][i];
2204  outarray[cnt++] = r*nummodes[0]*nummodes[1] +
2205  q*nummodes[0] + p;
2206  }
2207  }
2208  }
2209 
2210  sort(outarray.get(), outarray.get() + nBndCoeffs);
2211  }
2212 
2213  DNekMatSharedPtr StdHexExp::v_GenMatrix(const StdMatrixKey &mkey)
2214  {
2215  return StdExpansion::CreateGeneralMatrix(mkey);
2216  }
2217 
2218 
2219  DNekMatSharedPtr StdHexExp::v_CreateStdMatrix(const StdMatrixKey &mkey)
2220  {
2221  return StdExpansion::CreateGeneralMatrix(mkey);
2222  }
2223 
2224 
2225  void StdHexExp::v_MassMatrixOp(
2226  const Array<OneD, const NekDouble> &inarray,
2227  Array<OneD,NekDouble> &outarray,
2228  const StdMatrixKey &mkey)
2229  {
2230  StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
2231  }
2232 
2233 
2234  void StdHexExp::v_LaplacianMatrixOp(
2235  const Array<OneD, const NekDouble> &inarray,
2236  Array<OneD,NekDouble> &outarray,
2237  const StdMatrixKey &mkey)
2238  {
2239  StdHexExp::v_LaplacianMatrixOp_MatFree(inarray,outarray,mkey);
2240  }
2241 
2242 
2243  void StdHexExp::v_LaplacianMatrixOp(const int k1, const int k2,
2244  const Array<OneD, const NekDouble> &inarray,
2245  Array<OneD,NekDouble> &outarray,
2246  const StdMatrixKey &mkey)
2247  {
2248  StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,
2249  mkey);
2250  }
2251 
2252 
2253  void StdHexExp::v_WeakDerivMatrixOp(const int i,
2254  const Array<OneD, const NekDouble> &inarray,
2255  Array<OneD,NekDouble> &outarray,
2256  const StdMatrixKey &mkey)
2257  {
2258  StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,
2259  mkey);
2260  }
2261 
2262  void StdHexExp::v_HelmholtzMatrixOp(
2263  const Array<OneD, const NekDouble> &inarray,
2264  Array<OneD,NekDouble> &outarray,
2265  const StdMatrixKey &mkey)
2266  {
2267  StdHexExp::v_HelmholtzMatrixOp_MatFree(inarray,outarray,mkey);
2268  }
2269 
2270 
2271  void StdHexExp::v_GeneralMatrixOp_MatOp(
2272  const Array<OneD, const NekDouble> &inarray,
2273  Array<OneD,NekDouble> &outarray,
2274  const StdMatrixKey &mkey)
2275  {
2276  DNekMatSharedPtr mat = m_stdMatrixManager[mkey];
2277 
2278  if(inarray.get() == outarray.get())
2279  {
2280  Array<OneD,NekDouble> tmp(m_ncoeffs);
2281  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
2282 
2283  Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
2284  m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
2285  }
2286  else
2287  {
2288  Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
2289  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
2290  }
2291  }
2292 
2293 
2294  void StdHexExp::v_MultiplyByStdQuadratureMetric(const Array<OneD, const NekDouble>& inarray,
2295  Array<OneD, NekDouble> &outarray)
2296  {
2297  int i;
2298  int nquad0 = m_base[0]->GetNumPoints();
2299  int nquad1 = m_base[1]->GetNumPoints();
2300  int nquad2 = m_base[2]->GetNumPoints();
2301  int nq01 = nquad0*nquad1;
2302  int nq12 = nquad1*nquad2;
2303 
2304  const Array<OneD, const NekDouble>& w0 = m_base[0]->GetW();
2305  const Array<OneD, const NekDouble>& w1 = m_base[1]->GetW();
2306  const Array<OneD, const NekDouble>& w2 = m_base[2]->GetW();
2307 
2308  for(i = 0; i < nq12; ++i)
2309  {
2310  Vmath::Vmul(nquad0, inarray.get()+i*nquad0, 1,
2311  w0.get(), 1, outarray.get()+i*nquad0,1);
2312  }
2313 
2314  for(i = 0; i < nq12; ++i)
2315  {
2316  Vmath::Smul(nquad0, w1[i%nquad1], outarray.get()+i*nquad0, 1,
2317  outarray.get()+i*nquad0, 1);
2318  }
2319 
2320  for(i = 0; i < nquad2; ++i)
2321  {
2322  Vmath::Smul(nq01, w2[i], outarray.get()+i*nq01, 1,
2323  outarray.get()+i*nq01, 1);
2324  }
2325  }
2326 
2327  void StdHexExp::v_SVVLaplacianFilter(Array<OneD, NekDouble> &array,
2328  const StdMatrixKey &mkey)
2329  {
2330  // Generate an orthonogal expansion
2331  int qa = m_base[0]->GetNumPoints();
2332  int qb = m_base[1]->GetNumPoints();
2333  int qc = m_base[2]->GetNumPoints();
2334  int nmodes_a = m_base[0]->GetNumModes();
2335  int nmodes_b = m_base[1]->GetNumModes();
2336  int nmodes_c = m_base[2]->GetNumModes();
2337  // Declare orthogonal basis.
2338  LibUtilities::PointsKey pa(qa,m_base[0]->GetPointsType());
2339  LibUtilities::PointsKey pb(qb,m_base[1]->GetPointsType());
2340  LibUtilities::PointsKey pc(qc,m_base[2]->GetPointsType());
2341 
2342  LibUtilities::BasisKey Ba(LibUtilities::eOrtho_A,nmodes_a,pa);
2343  LibUtilities::BasisKey Bb(LibUtilities::eOrtho_A,nmodes_b,pb);
2344  LibUtilities::BasisKey Bc(LibUtilities::eOrtho_A,nmodes_c,pc);
2345  StdHexExp OrthoExp(Ba,Bb,Bc);
2346 
2347  Array<OneD, NekDouble> orthocoeffs(OrthoExp.GetNcoeffs());
2348  int i,j,k;
2349 
2350  int cutoff = (int) (mkey.GetConstFactor(eFactorSVVCutoffRatio)*min(nmodes_a,nmodes_b));
2351  NekDouble SvvDiffCoeff = mkey.GetConstFactor(eFactorSVVDiffCoeff);
2352 
2353  // project onto modal space.
2354  OrthoExp.FwdTrans(array,orthocoeffs);
2355 
2356 
2357  // Filter just trilinear space
2358  int nmodes = max(nmodes_a,nmodes_b);
2359  nmodes = max(nmodes,nmodes_c);
2360 
2361  Array<OneD, NekDouble> fac(nmodes,1.0);
2362  for(j = cutoff; j < nmodes; ++j)
2363  {
2364  fac[j] = fabs((j-nmodes)/((NekDouble) (j-cutoff+1.0)));
2365  fac[j] *= fac[j]; //added this line to conform with equation
2366  }
2367 
2368  for(i = 0; i < nmodes_a; ++i)
2369  {
2370  for(j = 0; j < nmodes_b; ++j)
2371  {
2372  for(k = 0; k < nmodes_c; ++k)
2373  {
2374  if((i >= cutoff)||(j >= cutoff)||(k >= cutoff))
2375  {
2376  orthocoeffs[i*nmodes_a*nmodes_b + j*nmodes_c + k] *= (SvvDiffCoeff*exp( -(fac[i]+fac[j]+fac[k]) ));
2377  }
2378  else
2379  {
2380  orthocoeffs[i*nmodes_a*nmodes_b + j*nmodes_c + k] *= 0.0;
2381  }
2382  }
2383  }
2384  }
2385 
2386  // backward transform to physical space
2387  OrthoExp.BwdTrans(orthocoeffs,array);
2388  }
2389  }
2390 }
2391 
Nektar::StdRegions::StdHexExp::v_GetInteriorMap
virtual void v_GetInteriorMap(Array< OneD, unsigned int > &outarray)
Definition: StdHexExp.cpp:2058
Nektar::StdRegions::StdHexExp::v_GetFacePointsKey
virtual LibUtilities::PointsKey v_GetFacePointsKey(const int i, const int j) const
Definition: StdHexExp.cpp:828
Nektar::StdRegions::StdHexExp::v_LocCoordToLocCollapsed
virtual void v_LocCoordToLocCollapsed(const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
Definition: StdHexExp.cpp:613
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::StdHexExp::v_GetEdgeNcoeffs
virtual int v_GetEdgeNcoeffs(const int i) const
Definition: StdHexExp.cpp:740
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virtual DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2213
Nektar::StdRegions::StdMatrixKey::GetConstFactor
NekDouble GetConstFactor(const ConstFactorType &factor) const
Definition: StdMatrixKey.h:122
Nektar::StdRegions::StdHexExp::v_GetCoords
virtual void v_GetCoords(Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z)
Definition: StdHexExp.cpp:904
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::StdRegions::StdHexExp::v_HelmholtzMatrixOp
virtual void v_HelmholtzMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2262
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virtual int v_NumBndryCoeffs() const
Definition: StdHexExp.cpp:699
Nektar::StdRegions::StdHexExp::v_IProductWRTDerivBase_SumFac
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:562
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Principle Modified Functions .
Definition: BasisType.h:51
Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel
void BwdTrans_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)
Definition: StdExpansion3D.cpp:113
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static Array< OneD, NekDouble > NullNekDouble1DArray
Definition: SharedArray.hpp:784
Nektar::StdRegions::StdExpansion3D::v_LaplacianMatrixOp_MatFree
virtual void v_LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: StdExpansion3D.cpp:206
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::StdRegions::StdExpansion::IProductWRTDerivBase_SumFac
void IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:1467
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virtual int v_GetNedges() const
Definition: StdHexExp.cpp:681
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
Nektar::StdRegions::StdHexExp::v_GetEdgeBasisType
virtual LibUtilities::BasisType v_GetEdgeBasisType(const int i) const
Definition: StdHexExp.cpp:886
Nektar::StdRegions::StdHexExp::v_DetFaceBasisKey
virtual const LibUtilities::BasisKey v_DetFaceBasisKey(const int i, const int k) const
Definition: StdHexExp.cpp:857
Nektar::StdRegions::StdExpansion::IProductWRTBase
void IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
this function calculates the inner product of a given function f with the different modes of the expa...
Definition: StdExpansion.h:629
Nektar::StdRegions::StdHexExp::v_IProductWRTBase
virtual void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:366
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:1489
Nektar::StdRegions::StdHexExp::v_FillMode
virtual void v_FillMode(const int mode, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:624
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
Nektar::StdRegions::StdHexExp::v_GetBoundaryMap
virtual void v_GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdHexExp.cpp:2122
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
std
STL namespace.
Nektar::StdRegions::StdHexExp::v_CalcNumberOfCoefficients
virtual int v_CalcNumberOfCoefficients(const std::vector< unsigned int > &nummodes, int &modes_offset)
Definition: StdHexExp.cpp:848
Nektar::StdRegions::StdHexExp::v_FwdTrans
virtual void v_FwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:305
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virtual int v_GetFaceNcoeffs(const int i) const
Definition: StdHexExp.cpp:764
Nektar::StdRegions::StdHexExp::v_MassMatrixOp
virtual void v_MassMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2225
Nektar::StdRegions::StdHexExp::v_WeakDerivMatrixOp
virtual void v_WeakDerivMatrixOp(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2253
Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
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virtual bool v_IsBoundaryInteriorExpansion()
Definition: StdHexExp.cpp:85
Nektar::StdRegions::StdHexExp::v_IProductWRTBase_SumFacKernel
virtual void v_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)
Definition: StdHexExp.cpp:437
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boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdHexExp::v_GeneralMatrixOp_MatOp
virtual void v_GeneralMatrixOp_MatOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2271
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void PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
Definition: StdExpansion.h:1054
Nektar::StdRegions::StdHexExp::v_GetNfaces
virtual int v_GetNfaces() const
Definition: StdHexExp.cpp:687
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
Nektar::StdRegions::StdHexExp::v_GetFaceNumPoints
virtual int v_GetFaceNumPoints(const int i) const
Definition: StdHexExp.cpp:807
Nektar::StdRegions::StdExpansion::GetEdgeBasisType
LibUtilities::BasisType GetEdgeBasisType(const int i) const
This function returns the type of expansion basis on the i-th edge.
Definition: StdExpansion.h:413
Nektar::StdRegions::StdHexExp::v_IProductWRTDerivBase_MatOp
virtual void v_IProductWRTDerivBase_MatOp(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:532
Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv
void PhysTensorDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points...
Definition: StdExpansion3D.cpp:68
Nektar::StdRegions::StdHexExp::v_MultiplyByStdQuadratureMetric
virtual void v_MultiplyByStdQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:2294
Nektar::StdRegions::StdHexExp::v_GetEdgeInteriorMap
virtual void v_GetEdgeInteriorMap(const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
Definition: StdHexExp.cpp:1420
Nektar::StdRegions::StdExpansion
The base class for all shapes.
Definition: StdExpansion.h:69
Nektar::StdRegions::StdHexExp::v_GetTotalEdgeIntNcoeffs
virtual int v_GetTotalEdgeIntNcoeffs() const
Definition: StdHexExp.cpp:758
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
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)
Definition: StdExpansion3D.cpp:127
Vmath::Smul
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
Nektar::StdRegions::StdExpansion::GetFaceIntNcoeffs
int GetFaceIntNcoeffs(const int i) const
Definition: StdExpansion.h:359
StdHexExp.h
Nektar::StdRegions::EvaluateQuadFaceBasisKey
LibUtilities::BasisKey EvaluateQuadFaceBasisKey(const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
Definition: StdExpansion3D.cpp:351
Nektar::StdRegions::StdHexExp::v_LaplacianMatrixOp
virtual void v_LaplacianMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2234
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::StdRegions::StdHexExp
Class representing a hexehedral element in reference space.
Definition: StdHexExp.h:48
Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree
void WeakDerivMatrixOp_MatFree(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:785
Nektar::LibUtilities::eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:48
Nektar::StdRegions::StdHexExp::v_IProductWRTBase_MatOp
virtual void v_IProductWRTBase_MatOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:385
Nektar::StdRegions::StdExpansion::CreateGeneralMatrix
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
Definition: StdExpansion.cpp:322
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::LibUtilities::PointsKey
Defines a specification for a set of points.
Definition: Points.h:58
Nektar::StdRegions::StdHexExp::v_BwdTrans_SumFacKernel
virtual void v_BwdTrans_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)
Definition: StdHexExp.cpp:241
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdHexExp::v_BwdTrans_SumFac
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:214
Nektar::StdRegions::StdHexExp::v_GetVertexMap
virtual int v_GetVertexMap(int localVertexId, bool useCoeffPacking=false)
Definition: StdHexExp.cpp:1286
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::StdRegions::StdHexExp::v_SVVLaplacianFilter
virtual void v_SVVLaplacianFilter(Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2327
Nektar::StdRegions::StdHexExp::v_GetFaceToElementMap
virtual void v_GetFaceToElementMap(const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
Definition: StdHexExp.cpp:934
Nektar::StdRegions::StdHexExp::v_GetTotalFaceIntNcoeffs
virtual int v_GetTotalFaceIntNcoeffs() const
Definition: StdHexExp.cpp:800
Nektar::StdRegions::StdHexExp::v_BwdTrans
virtual void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:184
Nektar::StdRegions::StdHexExp::v_IProductWRTDerivBase
virtual void v_IProductWRTDerivBase(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdHexExp.cpp:524
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:240
Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree
void MassMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:668
Nektar::StdRegions::StdExpansion::BwdTrans
void BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
This function performs the Backward transformation from coefficient space to physical space...
Definition: StdExpansion.h:525
Nektar::StdRegions::StdHexExp::v_DetShapeType
virtual LibUtilities::ShapeType v_DetShapeType() const
Definition: StdHexExp.cpp:693
Nektar::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
Nektar::StdRegions::StdExpansion::m_stdMatrixManager
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess > m_stdMatrixManager
Definition: StdExpansion.h:1425
Nektar::StdRegions::StdHexExp::v_PhysDeriv
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)
Differentiation Methods.
Definition: StdHexExp.cpp:100
Nektar::StdRegions::StdHexExp::v_GetFaceIntNcoeffs
virtual int v_GetFaceIntNcoeffs(const int i) const
Definition: StdHexExp.cpp:782
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdHexExp::v_GetFaceInteriorMap
virtual void v_GetFaceInteriorMap(const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
Definition: StdHexExp.cpp:1718
Nektar::StdRegions::StdExpansion::GetPointsType
LibUtilities::PointsType GetPointsType(const int dir) const
This function returns the type of quadrature points used in the dir direction.
Definition: StdExpansion.h:216
Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree
virtual void v_HelmholtzMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: StdExpansion3D.cpp:248
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Nektar::StdRegions::StdHexExp::v_CreateStdMatrix
virtual DNekMatSharedPtr v_CreateStdMatrix(const StdMatrixKey &mkey)
Definition: StdHexExp.cpp:2219
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Nektar::StdRegions::StdHexExp::v_StdPhysDeriv
virtual void v_StdPhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
Definition: StdHexExp.cpp:147
Nektar::StdRegions::StdHexExp::v_GetNverts
virtual int v_GetNverts() const
Definition: StdHexExp.cpp:675
Nektar::StdRegions::StdHexExp::v_IProductWRTBase_SumFac
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multbyweights=true)
Definition: StdHexExp.cpp:399
Nektar::LibUtilities::BasisKey
Describes the specification for a Basis.
Definition: Basis.h:50
Vmath::Vmul
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
Nektar::StdRegions::StdExpansion::BwdTrans_SumFac
void BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:1460
Nektar::StdRegions::StdExpansion::FwdTrans
void FwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
This function performs the Forward transformation from physical space to coefficient space...
Definition: StdExpansion.h:1905
Nektar::StdRegions::StdHexExp::v_NumDGBndryCoeffs
virtual int v_NumDGBndryCoeffs() const
Definition: StdHexExp.cpp:720
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