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Nektar::Extrapolate Class Referenceabstract

#include <Extrapolate.h>

Inheritance diagram for Nektar::Extrapolate:
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Public Member Functions

 Extrapolate (const LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields, MultiRegions::ExpListSharedPtr pPressure, const Array< OneD, int > pVel, const SolverUtils::AdvectionSharedPtr advObject)
 
virtual ~Extrapolate ()
 
void GenerateHOPBCMap ()
 
void SubSteppingTimeIntegration (const int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)
 
void SubStepSaveFields (const int nstep)
 
void SubStepSetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const NekDouble Aii_DT, NekDouble kinvis)
 
void SubStepAdvance (const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, const int nstep, NekDouble time)
 
void MountHOPBCs (int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)
 
void EvaluatePressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
 
void CalcExplicitDuDt (const Array< OneD, const Array< OneD, NekDouble > > &fields)
 
void ExtrapolatePressureHBCs (void)
 
void CopyPressureHBCsToPbndExp (void)
 
Array< OneD, NekDouble > GetMaxStdVelocity (const Array< OneD, Array< OneD, NekDouble > > inarray)
 
void CorrectPressureBCs (const Array< OneD, NekDouble > &pressure)
 
void IProductNormVelocityOnHBC (const Array< OneD, const Array< OneD, NekDouble > > &Vel, Array< OneD, NekDouble > &IprodVn)
 
void IProductNormVelocityBCOnHBC (Array< OneD, NekDouble > &IprodVn)
 
LibUtilities::TimeIntegrationMethod GetSubStepIntegrationMethod (void)
 
void ExtrapolateArray (Array< OneD, Array< OneD, NekDouble > > &oldarrays, Array< OneD, NekDouble > &newarray, Array< OneD, NekDouble > &outarray)
 

Protected Member Functions

virtual void v_EvaluatePressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)=0
 
virtual void v_SubSteppingTimeIntegration (int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)=0
 
virtual void v_SubStepSaveFields (int nstep)=0
 
virtual void v_SubStepSetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, NekDouble Aii_DT, NekDouble kinvis)=0
 
virtual void v_SubStepAdvance (const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, int nstep, NekDouble time)=0
 
virtual void v_MountHOPBCs (int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)=0
 
virtual
LibUtilities::TimeIntegrationMethod 		v_GetSubStepIntegrationMethod (void)
 
void CalcNeumannPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
 
virtual void v_CalcNeumannPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
 
virtual void v_CorrectPressureBCs (const Array< OneD, NekDouble > &pressure)
 
void CalcOutflowBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, NekDouble kinvis)
 
void RollOver (Array< OneD, Array< OneD, NekDouble > > &input)
 
void CurlCurl (Array< OneD, Array< OneD, const NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q, const int j)
 

Protected Attributes

LibUtilities::SessionReaderSharedPtr m_session
 
LibUtilities::CommSharedPtr m_comm
 
Array< OneD,
MultiRegions::ExpListSharedPtr > 		m_fields
 
MultiRegions::ExpListSharedPtr m_pressure
 Pointer to field holding pressure field. More...
 
Array< OneD, int > m_velocity
 int which identifies which components of m_fields contains the velocity (u,v,w); More...
 
SolverUtils::AdvectionSharedPtr m_advObject
 
Array< OneD, Array< OneD,
NekDouble > > 		m_previousVelFields
 
int m_curl_dim
 Curl-curl dimensionality. More...
 
int m_bnd_dim
 bounday dimensionality More...
 
Array< OneD, const
SpatialDomains::BoundaryConditionShPtr > 		m_PBndConds
 pressure boundary conditions container More...
 
Array< OneD,
MultiRegions::ExpListSharedPtr > 		m_PBndExp
 pressure boundary conditions expansion container More...
 
int m_pressureCalls
 number of times the high-order pressure BCs have been called More...
 
int m_pressureBCsMaxPts
 Maximum points used in pressure BC evaluation. More...
 
int m_pressureBCsElmtMaxPts
 Maximum points used in Element adjacent to pressure BC evaluation. More...
 
int m_intSteps
 Maximum points used in pressure BC evaluation. More...
 
NekDouble m_timestep
 
bool m_SingleMode
 Flag to determine if single homogeneous mode is used. More...
 
bool m_HalfMode
 Flag to determine if half homogeneous mode is used. More...
 
bool m_MultipleModes
 Flag to determine if use multiple homogenenous modes are used. More...
 
NekDouble m_LhomZ
 physical length in Z direction (if homogeneous) More...
 
int m_npointsX
 number of points in X direction (if homogeneous) More...
 
int m_npointsY
 number of points in Y direction (if homogeneous) More...
 
int m_npointsZ
 number of points in Z direction (if homogeneous) More...
 
Array< OneD, int > m_pressureBCtoElmtID
 Id of element to which pressure boundary condition belongs. More...
 
Array< OneD, int > m_pressureBCtoTraceID
 Id of edge (2D) or face (3D) to which pressure boundary condition belongs. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_pressureHBCs
 Storage for current and previous levels of high order pressure boundary conditions. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_acceleration
 Storage for current and previous levels of the acceleration term. More...
 
Array< OneD, HBCInfo > m_HBCdata
 data structure to old all the information regarding High order pressure BCs More...
 
Array< OneD, NekDouble > m_wavenumber
 wave number 2 pi k /Lz More...
 
Array< OneD, NekDouble > m_negWavenumberSq
 minus Square of wavenumber More...
 
Array< OneD, Array< OneD,
Array< OneD, NekDouble > > > 		m_outflowVel
 Storage for current and previous velocity fields at the otuflow for high order outflow BCs. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_traceNormals
 
Array< OneD, Array< OneD,
Array< OneD, NekDouble > > > 		m_PhyoutfVel
 Storage for current and previous velocity fields in physical space at the otuflow for high order outflow BCs. More...
 
Array< OneD, NekDouble > m_nonlinearterm_phys
 (if homogeneous) More...
 
Array< OneD, NekDouble > m_nonlinearterm_coeffs
 (if homogeneous) More...
 
Array< OneD, unsigned int > m_expsize_per_plane
 (if homogeneous) More...
 
Array< OneD, NekDouble > m_PBndCoeffs
 (if homogeneous) More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_UBndCoeffs
 (if homogeneous) More...
 
int m_totexps_per_plane
 (if homogeneous) More...
 

Static Protected Attributes

static NekDouble StifflyStable_Betaq_Coeffs [3][3]
 total number of expansion for each plane (if homogeneous) More...
 
static NekDouble StifflyStable_Alpha_Coeffs [3][3]
 
static NekDouble StifflyStable_Gamma0_Coeffs [3]
 

Static Private Attributes

static std::string def
 

Detailed Description

Definition at line 83 of file Extrapolate.h.

Constructor & Destructor Documentation

Nektar::Extrapolate::Extrapolate ( const LibUtilities::SessionReaderSharedPtr  pSession,
Array< OneD, MultiRegions::ExpListSharedPtr >  pFields,
MultiRegions::ExpListSharedPtr  pPressure,
const Array< OneD, int >  pVel,
const SolverUtils::AdvectionSharedPtr  advObject 
)

Definition at line 59 of file Extrapolate.cpp.

References m_comm, m_session, and m_timestep.

65  : m_session(pSession),
66  m_fields(pFields),
67  m_pressure(pPressure),
68  m_velocity(pVel),
69  m_advObject(advObject)
70  {
71  m_session->LoadParameter("TimeStep", m_timestep, 0.01);
72  m_comm = m_session->GetComm();
73  }
Nektar::Extrapolate::m_pressure
MultiRegions::ExpListSharedPtr m_pressure
Pointer to field holding pressure field.
Definition: Extrapolate.h:215
Nektar::Extrapolate::m_session
LibUtilities::SessionReaderSharedPtr m_session
Definition: Extrapolate.h:208
Nektar::Extrapolate::m_velocity
Array< OneD, int > m_velocity
int which identifies which components of m_fields contains the velocity (u,v,w);
Definition: Extrapolate.h:219
Nektar::Extrapolate::m_comm
LibUtilities::CommSharedPtr m_comm
Definition: Extrapolate.h:210
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_advObject
SolverUtils::AdvectionSharedPtr m_advObject
Definition: Extrapolate.h:221
Nektar::Extrapolate::m_timestep
NekDouble m_timestep
Definition: Extrapolate.h:249
Nektar::Extrapolate::~Extrapolate ( )
virtual

Definition at line 75 of file Extrapolate.cpp.

76  {
77  }

Member Function Documentation

void Nektar::Extrapolate::CalcExplicitDuDt ( const Array< OneD, const Array< OneD, NekDouble > > &  fields)

Definition at line 83 of file Extrapolate.cpp.

References IProductNormVelocityOnHBC(), m_acceleration, m_intSteps, m_pressureCalls, m_pressureHBCs, m_timestep, RollOver(), Vmath::Smul(), StifflyStable_Alpha_Coeffs, StifflyStable_Gamma0_Coeffs, and Vmath::Svtvp().

Referenced by Nektar::StandardExtrapolate::v_EvaluatePressureBCs().

84  {
85  int nHBCs = m_acceleration[0].num_elements();
86 
87  // Adding extrapolated acceleration term to HOPBCs
88  Array<OneD, NekDouble> accelerationTerm(nHBCs, 0.0);
89 
90  // Rotate acceleration term
91  RollOver(m_acceleration);
92 
93  // update current normal of field on bc to m_acceleration[0];
94  IProductNormVelocityOnHBC(fields,m_acceleration[0]);
95 
96  //Calculate acceleration term at level n based on previous steps
97  if (m_pressureCalls > 2)
98  {
99  int acc_order = min(m_pressureCalls-2,m_intSteps);
100  Vmath::Smul(nHBCs, StifflyStable_Gamma0_Coeffs[acc_order-1],
101  m_acceleration[0], 1,
102  accelerationTerm, 1);
103 
104  for(int i = 0; i < acc_order; i++)
105  {
106  Vmath::Svtvp(nHBCs,
107  -1*StifflyStable_Alpha_Coeffs[acc_order-1][i],
108  m_acceleration[i+1], 1,
109  accelerationTerm, 1,
110  accelerationTerm, 1);
111  }
112  }
113 
114  Vmath::Svtvp(nHBCs, -1.0/m_timestep,
115  accelerationTerm, 1,
116  m_pressureHBCs[0], 1,
117  m_pressureHBCs[0], 1);
118  }
Nektar::Extrapolate::IProductNormVelocityOnHBC
void IProductNormVelocityOnHBC(const Array< OneD, const Array< OneD, NekDouble > > &Vel, Array< OneD, NekDouble > &IprodVn)
Definition: Extrapolate.cpp:921
Vmath::Svtvp
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
Nektar::Extrapolate::RollOver
void RollOver(Array< OneD, Array< OneD, NekDouble > > &input)
Definition: Extrapolate.cpp:1012
Nektar::Extrapolate::StifflyStable_Gamma0_Coeffs
static NekDouble StifflyStable_Gamma0_Coeffs[3]
Definition: Extrapolate.h:314
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::Extrapolate::m_acceleration
Array< OneD, Array< OneD, NekDouble > > m_acceleration
Storage for current and previous levels of the acceleration term.
Definition: Extrapolate.h:274
Nektar::Extrapolate::m_intSteps
int m_intSteps
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:247
Nektar::Extrapolate::m_pressureCalls
int m_pressureCalls
number of times the high-order pressure BCs have been called
Definition: Extrapolate.h:238
Nektar::Extrapolate::m_pressureHBCs
Array< OneD, Array< OneD, NekDouble > > m_pressureHBCs
Storage for current and previous levels of high order pressure boundary conditions.
Definition: Extrapolate.h:271
Nektar::Extrapolate::StifflyStable_Alpha_Coeffs
static NekDouble StifflyStable_Alpha_Coeffs[3][3]
Definition: Extrapolate.h:313
Nektar::Extrapolate::m_timestep
NekDouble m_timestep
Definition: Extrapolate.h:249
void Nektar::Extrapolate::CalcNeumannPressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  fields,
const Array< OneD, const Array< OneD, NekDouble > > &  N,
NekDouble  kinvis 
)
inlineprotected

Definition at line 179 of file Extrapolate.h.

References v_CalcNeumannPressureBCs().

Referenced by Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

183  {
184  v_CalcNeumannPressureBCs( fields, N, kinvis);
185  }
Nektar::Extrapolate::v_CalcNeumannPressureBCs
virtual void v_CalcNeumannPressureBCs(const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
Definition: Extrapolate.cpp:163
void Nektar::Extrapolate::CalcOutflowBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  fields,
NekDouble  kinvis 
)
protected

Definition at line 270 of file Extrapolate.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::MultiRegions::e3DH1D, m_bnd_dim, m_curl_dim, m_expsize_per_plane, m_fields, m_intSteps, m_nonlinearterm_coeffs, m_nonlinearterm_phys, m_outflowVel, m_PBndCoeffs, m_PBndConds, m_PBndExp, m_PhyoutfVel, m_pressure, m_pressureBCsElmtMaxPts, m_pressureBCsMaxPts, m_pressureBCtoElmtID, m_pressureBCtoTraceID, m_pressureCalls, m_session, m_totexps_per_plane, m_UBndCoeffs, m_velocity, RollOver(), Vmath::Smul(), Vmath::Svtvp(), Vmath::Vadd(), Vmath::Vcopy(), Vmath::Vvtvp(), and Vmath::Zero().

Referenced by Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

273  {
274  static bool init = true;
275  static bool noHOBC = false;
276 
277  if(noHOBC == true)
278  {
279  return;
280  }
281 
282  if(init) // set up storage for boundary velocity at outflow
283  {
284  init = false;
285  int totbndpts = 0;
286  for(int n = 0; n < m_PBndConds.num_elements(); ++n)
287  {
288  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"HOutflow"))
289  {
290  totbndpts += m_PBndExp[n]->GetTotPoints();
291  }
292  }
293 
294  if(totbndpts == 0)
295  {
296  noHOBC = true;
297  return;
298  }
299 
300  m_outflowVel = Array<OneD, Array<OneD, Array<OneD, NekDouble> > > (m_curl_dim);
301  for(int i = 0; i < m_curl_dim; ++i)
302  {
303  m_outflowVel[i] = Array<OneD, Array<OneD, NekDouble> >(m_curl_dim);
304  for(int j = 0; j < m_curl_dim; ++j)
305  {
306  // currently just set up for 2nd order extrapolation
307  m_outflowVel[i][j] = Array<OneD, NekDouble>(totbndpts,0.0);
308  }
309  }
310 
311  if (m_fields[0]->GetExpType() == MultiRegions::e3DH1D)
312  {
313  m_PhyoutfVel = Array<OneD, Array<OneD, Array<OneD, NekDouble> > > (m_curl_dim);
314 
315  for(int i = 0; i < m_curl_dim; ++i)
316  {
317  m_PhyoutfVel[i] = Array<OneD, Array<OneD, NekDouble> > (m_curl_dim);
318  for(int j = 0; j < m_curl_dim; ++j)
319  {
320  // currently just set up for 2nd order extrapolation
321  m_PhyoutfVel[i][j] = Array<OneD, NekDouble> (totbndpts,0.0);
322  }
323  }
324 
325  m_nonlinearterm_phys = Array<OneD, NekDouble> (totbndpts,0.0);
326  m_nonlinearterm_coeffs = Array<OneD, NekDouble> (totbndpts,0.0);
327 
328  m_PBndCoeffs = Array<OneD, NekDouble> (totbndpts,0.0);
329  m_UBndCoeffs = Array<OneD, Array<OneD, NekDouble> > (m_curl_dim);
330  for(int i = 0; i < m_curl_dim; ++i)
331  {
332  m_UBndCoeffs[i] = Array<OneD, NekDouble> (totbndpts);
333  }
334  Array<OneD, unsigned int> planes;
335  planes = m_pressure->GetZIDs();
336  int num_planes = planes.num_elements();
337  m_expsize_per_plane = Array<OneD, unsigned int> (m_PBndConds.num_elements());
338  for(int n = 0; n < m_PBndConds.num_elements(); ++n)
339  {
340  int exp_size = m_PBndExp[n]->GetExpSize();
341  m_expsize_per_plane[n] = exp_size/num_planes;
342  }
343  m_totexps_per_plane = 0;
344  for(int n = 0; n < m_PBndConds.num_elements(); ++n)
345  {
346  m_totexps_per_plane += m_PBndExp[n]->GetExpSize()/num_planes;
347  }
348  }
349  }
350 
351  StdRegions::StdExpansionSharedPtr Bc,Pbc;
352  Array<OneD, Array<OneD, const SpatialDomains::BoundaryConditionShPtr> >
353  UBndConds(m_curl_dim);
354  Array<OneD, Array<OneD, MultiRegions::ExpListSharedPtr> >
355  UBndExp(m_curl_dim);
356 
357  for (int i = 0; i < m_curl_dim; ++i)
358  {
359  UBndConds[i] = m_fields[m_velocity[i]]->GetBndConditions();
360  UBndExp[i] = m_fields[m_velocity[i]]->GetBndCondExpansions();
361  }
362 
363  Array<OneD, Array<OneD, NekDouble> > BndValues(m_curl_dim);
364  Array<OneD, Array<OneD, NekDouble> > BndElmt (m_curl_dim);
365  Array<OneD, Array<OneD, NekDouble> > nGradu (m_curl_dim);
366  Array<OneD, NekDouble > gradtmp (m_pressureBCsElmtMaxPts),
367  fgradtmp(m_pressureBCsElmtMaxPts);
368 
369  nGradu[0] = Array<OneD, NekDouble>(m_curl_dim*m_pressureBCsMaxPts);
370  for(int i = 0; i < m_curl_dim; ++i)
371  {
372  BndElmt[i] = Array<OneD, NekDouble> (m_pressureBCsElmtMaxPts,
373  0.0);
374  BndValues[i] = Array<OneD, NekDouble> (m_pressureBCsMaxPts,0.0);
375  nGradu[i] = nGradu[0] + i*m_pressureBCsMaxPts;
376  RollOver(m_outflowVel[i]);
377 
378  if (m_fields[0]->GetExpType() == MultiRegions::e3DH1D)
379  {
380  RollOver(m_PhyoutfVel[i]);
381  }
382  }
383 
384  int nbc,cnt,cnt_start;
385  int veloffset = 0;
386  int nint = min(m_pressureCalls,m_intSteps);
387 
388  StdRegions::StdExpansionSharedPtr elmt;
389  Array<OneD, NekDouble> PBCvals, UBCvals;
390  Array<OneD, Array<OneD, NekDouble> > ubc(m_curl_dim);
391  Array<OneD, Array<OneD, NekDouble> > normals;
392 
393  cnt = 0;
394  for(int n = 0; n < m_PBndConds.num_elements(); ++n)
395  {
396  // Do outflow boundary conditions if they exist
397  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"HOutflow"))
398  {
399  for(int i = 0; i < m_PBndExp[n]->GetExpSize(); ++i,cnt++)
400  {
401  cnt = max(cnt,m_PBndExp[n]->GetTotPoints());
402  }
403  }
404  }
405 
406  for(int i =0; i < m_curl_dim; ++i)
407  {
408  ubc[i] = Array<OneD, NekDouble>(cnt);
409  }
410 
411  NekDouble U0,delta;
412  m_session->LoadParameter("U0_HighOrderBC",U0,1.0);
413  m_session->LoadParameter("Delta_HighOrderBC",delta,1/20.0);
414 
415  cnt = 0;
416  for(int n = 0; n < m_PBndConds.num_elements(); ++n)
417  {
418  cnt_start = cnt;
419 
420  // Do outflow boundary conditions if they exist
421  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"HOutflow"))
422  {
423 
424  if (m_fields[0]->GetExpType() == MultiRegions::e3DH1D)
425  {
426  int veloffset = 0;
427  for(int i = 0; i < m_PBndExp[n]->GetExpSize(); ++i, cnt++)
428  {
429  // find element and edge of this expansion.
430  Bc = boost::dynamic_pointer_cast<StdRegions::StdExpansion>
431  (m_PBndExp[n]->GetExp(i));
432 
433  int elmtid = m_pressureBCtoElmtID[cnt];
434  elmt = m_fields[0]->GetExp(elmtid);
435  int offset = m_fields[0]->GetPhys_Offset(elmtid);
436 
437  int boundary = m_pressureBCtoTraceID[cnt];
438 
439  // Determine extrapolated U,V values
440  int nq = elmt->GetTotPoints();
441  int nbc = m_PBndExp[n]->GetExp(i)->GetTotPoints();
442  // currently just using first order approximation here.
443  // previously have obtained value from m_integrationSoln
444  Array<OneD, NekDouble> veltmp;
445 
446  for(int j = 0; j < m_curl_dim; ++j)
447  {
448  Vmath::Vcopy(nq, &fields[m_velocity[j]][offset], 1,
449  &BndElmt[j][0], 1);
450  elmt->GetTracePhysVals(boundary,Bc,BndElmt[j],
451  veltmp = m_outflowVel[j][0] + veloffset);
452  }
453  veloffset += nbc;
454  }
455 
456  // for velocity on the outflow boundary in e3DH1D,
457  // we need to make a backward fourier transformation
458  // to get the physical coeffs at the outflow BCs.
459  for(int j = 0; j < m_curl_dim; ++j)
460  {
461  m_PBndExp[n]->HomogeneousBwdTrans(
462  m_outflowVel[j][0],
463  m_PhyoutfVel[j][0]);
464  }
465 
466  cnt = cnt_start;
467  veloffset = 0;
468  for(int i = 0; i < m_PBndExp[n]->GetExpSize(); ++i, cnt++)
469  {
470 
471  int elmtid = m_pressureBCtoElmtID[cnt];
472  elmt = m_fields[0]->GetExp(elmtid);
473  int nbc = m_PBndExp[n]->GetExp(i)->GetTotPoints();
474 
475  Array<OneD, NekDouble> veltmp(nbc,0.0),
476  normDotu(nbc,0.0), utot(nbc,0.0);
477  int boundary = m_pressureBCtoTraceID[cnt];
478  normals=elmt->GetSurfaceNormal(boundary);
479 
480  // extrapolate velocity
481  if(nint <= 1)
482  {
483  for(int j = 0; j < m_curl_dim; ++j)
484  {
485  Vmath::Vcopy(nbc,
486  veltmp = m_PhyoutfVel[j][0] +veloffset, 1,
487  BndValues[j], 1);
488  }
489  }
490  else // only set up for 2nd order extrapolation
491  {
492  for(int j = 0; j < m_curl_dim; ++j)
493  {
494  Vmath::Smul(nbc, 2.0,
495  veltmp = m_PhyoutfVel[j][0] + veloffset, 1,
496  BndValues[j], 1);
497  Vmath::Svtvp(nbc, -1.0,
498  veltmp = m_PhyoutfVel[j][1] + veloffset, 1,
499  BndValues[j], 1,
500  BndValues[j], 1);
501  }
502  }
503 
504  // Set up |u|^2, n.u in physical space
505  for(int j = 0; j < m_curl_dim; ++j)
506  {
507  Vmath::Vvtvp(nbc, BndValues[j], 1, BndValues[j], 1,
508  utot, 1, utot, 1);
509  }
510  for(int j = 0; j < m_bnd_dim; ++j)
511  {
512  Vmath::Vvtvp(nbc, normals[j], 1, BndValues[j], 1,
513  normDotu, 1, normDotu, 1);
514  }
515 
516  int Offset = m_PBndExp[n]->GetPhys_Offset(i);
517 
518  for(int k = 0; k < nbc; ++k)
519  {
520  // calculate the nonlinear term (kinetic energy
521  // multiplies step function) in physical space
522  NekDouble fac = 0.5*(1.0-tanh(normDotu[k]/(U0*delta)));
523  m_nonlinearterm_phys[k + Offset] = 0.5 * utot[k] * fac;
524  }
525 
526  veloffset += nbc;
527  }
528 
529  // for e3DH1D, we need to make a forward fourier transformation
530  // for the kinetic energy term (nonlinear)
531  UBndExp[0][n]->HomogeneousFwdTrans(
532  m_nonlinearterm_phys,
533  m_nonlinearterm_coeffs);
534 
535  // for e3DH1D, we need to make a forward fourier transformation
536  // for Dirichlet pressure boundary condition that is from input file
537  m_PBndExp[n]->HomogeneousFwdTrans(
538  m_PBndExp[n]->UpdatePhys(),
539  m_PBndCoeffs);
540  // for e3DH1D, we need to make a forward fourier transformation
541  // for Neumann velocity boundary condition that is from input file
542  for (int j = 0; j < m_curl_dim; ++j)
543  {
544  UBndExp[j][n]->HomogeneousFwdTrans(
545  UBndExp[j][n]->UpdatePhys(),
546  m_UBndCoeffs[j]);
547  }
548  }
549 
550  cnt = cnt_start;
551  veloffset = 0;
552  for(int i = 0; i < m_PBndExp[n]->GetExpSize(); ++i,cnt++)
553  {
554  // find element and edge of this expansion.
555  Bc = boost::dynamic_pointer_cast<StdRegions::StdExpansion>
556  (m_PBndExp[n]->GetExp(i));
557 
558  int elmtid = m_pressureBCtoElmtID[cnt];
559  elmt = m_fields[0]->GetExp(elmtid);
560  int offset = m_fields[0]->GetPhys_Offset(elmtid);
561 
562  // Determine extrapolated U,V values
563  int nq = elmt->GetTotPoints();
564 
565  // currently just using first order approximation here.
566  // previously have obtained value from m_integrationSoln
567  for(int j = 0; j < m_bnd_dim; ++j)
568  {
569  Vmath::Vcopy(nq, &fields[m_velocity[j]][offset], 1,
570  &BndElmt[j][0], 1);
571  }
572 
573  int nbc = m_PBndExp[n]->GetExp(i)->GetTotPoints();
574  int boundary = m_pressureBCtoTraceID[cnt];
575 
576  Array<OneD, NekDouble> ptmp(nbc,0.0),
577  divU(nbc,0.0);
578 
579  normals=elmt->GetSurfaceNormal(boundary);
580  Vmath::Zero(m_bnd_dim*m_pressureBCsMaxPts,nGradu[0],1);
581 
582  for (int j = 0; j < m_bnd_dim; j++)
583  {
584  // Calculate Grad u = du/dx, du/dy, du/dz, etc.
585  for (int k = 0; k< m_bnd_dim; k++)
586  {
587  elmt->PhysDeriv(MultiRegions::DirCartesianMap[k],
588  BndElmt[j], gradtmp);
589  elmt->GetTracePhysVals(boundary, Bc, gradtmp,
590  fgradtmp);
591  Vmath::Vvtvp(nbc,normals[k], 1, fgradtmp, 1,
592  nGradu[j], 1, nGradu[j],1);
593  if(j == k)
594  {
595  Vmath::Vadd(nbc,fgradtmp, 1, divU, 1, divU, 1);
596  }
597  }
598  }
599 
600  if (m_fields[0]->GetExpType() == MultiRegions::e3DH1D)
601  {
602  // Set up |u|^2, n.u, div(u), and (n.grad(u) . n) for
603  // pressure condition
604  for(int j = 0; j < m_bnd_dim; ++j)
605  {
606  Vmath::Vvtvp(nbc, normals[j], 1, nGradu[j], 1,
607  ptmp, 1, ptmp, 1);
608  }
609  int p_offset = m_PBndExp[n]->GetPhys_Offset(i);
610 
611  for(int k = 0; k < nbc; ++k)
612  {
613  // Set up Dirichlet pressure condition and
614  // store in ptmp (m_UBndCoeffs contains Fourier Coeffs of the
615  // function from the input file )
616 
617  ptmp[k] = kinvis * ptmp[k]
618  - m_nonlinearterm_coeffs[k + p_offset]
619  - m_PBndCoeffs[k + p_offset];
620  }
621 
622  int u_offset = UBndExp[0][n]->GetPhys_Offset(i);
623 
624  for(int j = 0; j < m_bnd_dim; ++j)
625  {
626  for(int k = 0; k < nbc; ++k)
627  {
628  ubc[j][k + u_offset] = (1.0 / kinvis)
629  * (m_UBndCoeffs[j][k + u_offset]
630  + m_nonlinearterm_coeffs[k + u_offset]
631  * normals[j][k]);
632  }
633  }
634 
635  // boundary condition for velocity in homogenous direction
636  for(int k = 0; k < nbc; ++k)
637  {
638  ubc[m_bnd_dim][k + u_offset] = (1.0 / kinvis)
639  * m_UBndCoeffs[m_bnd_dim][k + u_offset];
640  }
641 
642  u_offset = UBndExp[m_bnd_dim][n]->GetPhys_Offset(i);
643  UBCvals = UBndExp[m_bnd_dim][n]->UpdateCoeffs()
644  + UBndExp[m_bnd_dim][n]->GetCoeff_Offset(i);
645  Bc->IProductWRTBase(ubc[m_bnd_dim] + u_offset, UBCvals);
646  }
647  else
648  {
649 
650  Array<OneD, NekDouble> veltmp, utot(nbc,0.0),
651  normDotu(nbc,0.0);
652  // extract velocity and store
653  for(int j = 0; j < m_bnd_dim; ++j)
654  {
655  elmt->GetTracePhysVals(boundary,Bc,BndElmt[j],
656  veltmp = m_outflowVel[j][0] + veloffset);
657  }
658 
659  // extrapolate velocity
660  if(nint <= 1)
661  {
662  for(int j = 0; j < m_bnd_dim; ++j)
663  {
664  Vmath::Vcopy(nbc,
665  veltmp = m_outflowVel[j][0]
666  +veloffset, 1,
667  BndValues[j],1);
668  }
669  }
670  else // only set up for 2nd order extrapolation
671  {
672  for(int j = 0; j < m_bnd_dim; ++j)
673  {
674  Vmath::Smul(nbc, 2.0,
675  veltmp = m_outflowVel[j][0]
676  + veloffset, 1,
677  BndValues[j], 1);
678  Vmath::Svtvp(nbc, -1.0,
679  veltmp = m_outflowVel[j][1]
680  + veloffset, 1,
681  BndValues[j], 1,
682  BndValues[j], 1);
683  }
684  }
685 
686  // Set up |u|^2, n.u, div(u), and (n.grad(u) . n) for
687  // pressure condition
688  for(int j = 0; j < m_bnd_dim; ++j)
689  {
690  Vmath::Vvtvp(nbc, BndValues[j], 1, BndValues[j], 1,
691  utot, 1, utot, 1);
692  Vmath::Vvtvp(nbc, normals[j], 1, BndValues[j], 1,
693  normDotu, 1, normDotu, 1);
694  Vmath::Vvtvp(nbc, normals[j], 1, nGradu[j], 1,
695  ptmp, 1, ptmp, 1);
696  }
697 
698  PBCvals = m_PBndExp[n]->GetPhys() +
699  m_PBndExp[n]->GetPhys_Offset(i);
700 
701  for(int k = 0; k < nbc; ++k)
702  {
703  NekDouble fac = 0.5*(1.0-tanh(normDotu[k]/(U0*delta)));
704 
705  // Set up Dirichlet pressure condition and
706  // store in ptmp (PBCvals contains a
707  // function from the input file )
708  ptmp[k] = kinvis * ptmp[k] - 0.5 * utot[k] * fac
709  + PBCvals[k];
710  }
711 
712  int u_offset = UBndExp[0][n]->GetPhys_Offset(i);
713 
714  for(int j = 0; j < m_bnd_dim; ++j)
715  {
716  UBCvals = UBndExp[j][n]->GetPhys()
717  + UBndExp[j][n]->GetPhys_Offset(i);
718 
719  for(int k = 0; k < nbc; ++k)
720  {
721  NekDouble fac = 0.5 * (1.0 - tanh(normDotu[k]
722  / (U0 * delta)));
723  ubc[j][k + u_offset] = (1.0 / kinvis)
724  * (UBCvals[k] + 0.5 * utot[k] * fac
725  * normals[j][k]);
726  }
727  }
728  }
729 
730  // set up pressure boundary condition
731  PBCvals = m_PBndExp[n]->UpdateCoeffs()
732  + m_PBndExp[n]->GetCoeff_Offset(i);
733  m_PBndExp[n]->GetExp(i)->FwdTrans(ptmp,PBCvals);
734 
735  veloffset += nbc;
736  }
737 
738  // Now set up Velocity conditions.
739  for(int j = 0; j < m_bnd_dim; j++)
740  {
741  if(boost::iequals(UBndConds[j][n]->GetUserDefined(),"HOutflow"))
742  {
743  cnt = cnt_start;
744  for(int i = 0; i < UBndExp[0][n]->GetExpSize();
745  ++i, cnt++)
746  {
747  Pbc = StdRegions::StdExpansionSharedPtr
748  (m_PBndExp[n]->GetExp(i));
749  Bc = StdRegions::StdExpansionSharedPtr
750  (UBndExp[0][n]->GetExp(i));
751 
752  nbc = UBndExp[0][n]->GetExp(i)->GetTotPoints();
753  int boundary = m_pressureBCtoTraceID[cnt];
754 
755  Array<OneD, NekDouble> pb(nbc), ub(nbc);
756  int elmtid = m_pressureBCtoElmtID[cnt];
757 
758  elmt = m_fields[0]->GetExp(elmtid);
759 
760  normals = elmt->GetSurfaceNormal(boundary);
761 
762  // Get p from projected boundary condition
763  PBCvals = m_PBndExp[n]->UpdateCoeffs()
764  + m_PBndExp[n]->GetCoeff_Offset(i);
765  Pbc->BwdTrans(PBCvals,pb);
766 
767  int u_offset = UBndExp[j][n]->GetPhys_Offset(i);
768 
769  for(int k = 0; k < nbc; ++k)
770  {
771  ub[k] = ubc[j][k + u_offset]
772  + pb[k] * normals[j][k] / kinvis;
773  }
774 
775  UBCvals = UBndExp[j][n]->UpdateCoeffs()
776  + UBndExp[j][n]->GetCoeff_Offset(i);
777  Bc->IProductWRTBase(ub,UBCvals);
778  }
779  }
780  }
781  }
782  else
783  {
784  cnt += m_PBndExp[n]->GetExpSize();
785  }
786  }
787  }
Nektar::Extrapolate::m_pressure
MultiRegions::ExpListSharedPtr m_pressure
Pointer to field holding pressure field.
Definition: Extrapolate.h:215
Nektar::Extrapolate::m_session
LibUtilities::SessionReaderSharedPtr m_session
Definition: Extrapolate.h:208
Nektar::Extrapolate::m_velocity
Array< OneD, int > m_velocity
int which identifies which components of m_fields contains the velocity (u,v,w);
Definition: Extrapolate.h:219
Nektar::Extrapolate::m_pressureBCsMaxPts
int m_pressureBCsMaxPts
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:241
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
Nektar::Extrapolate::m_pressureBCsElmtMaxPts
int m_pressureBCsElmtMaxPts
Maximum points used in Element adjacent to pressure BC evaluation.
Definition: Extrapolate.h:244
Vmath::Svtvp
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
Vmath::Vvtvp
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
Nektar::Extrapolate::RollOver
void RollOver(Array< OneD, Array< OneD, NekDouble > > &input)
Definition: Extrapolate.cpp:1012
Nektar::Extrapolate::m_PBndCoeffs
Array< OneD, NekDouble > m_PBndCoeffs
(if homogeneous)
Definition: Extrapolate.h:304
Nektar::Extrapolate::m_UBndCoeffs
Array< OneD, Array< OneD, NekDouble > > m_UBndCoeffs
(if homogeneous)
Definition: Extrapolate.h:307
Nektar::Extrapolate::m_nonlinearterm_phys
Array< OneD, NekDouble > m_nonlinearterm_phys
(if homogeneous)
Definition: Extrapolate.h:294
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_nonlinearterm_coeffs
Array< OneD, NekDouble > m_nonlinearterm_coeffs
(if homogeneous)
Definition: Extrapolate.h:297
Nektar::Extrapolate::m_totexps_per_plane
int m_totexps_per_plane
(if homogeneous)
Definition: Extrapolate.h:309
Nektar::Extrapolate::m_outflowVel
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_outflowVel
Storage for current and previous velocity fields at the otuflow for high order outflow BCs...
Definition: Extrapolate.h:286
Nektar::Extrapolate::m_bnd_dim
int m_bnd_dim
bounday dimensionality
Definition: Extrapolate.h:229
Nektar::Extrapolate::m_pressureBCtoElmtID
Array< OneD, int > m_pressureBCtoElmtID
Id of element to which pressure boundary condition belongs.
Definition: Extrapolate.h:265
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::Extrapolate::m_intSteps
int m_intSteps
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:247
Nektar::Extrapolate::m_expsize_per_plane
Array< OneD, unsigned int > m_expsize_per_plane
(if homogeneous)
Definition: Extrapolate.h:301
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::Extrapolate::m_pressureBCtoTraceID
Array< OneD, int > m_pressureBCtoTraceID
Id of edge (2D) or face (3D) to which pressure boundary condition belongs.
Definition: Extrapolate.h:268
Nektar::Extrapolate::m_pressureCalls
int m_pressureCalls
number of times the high-order pressure BCs have been called
Definition: Extrapolate.h:238
Nektar::MultiRegions::DirCartesianMap
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:86
Nektar::Extrapolate::m_PhyoutfVel
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_PhyoutfVel
Storage for current and previous velocity fields in physical space at the otuflow for high order outf...
Definition: Extrapolate.h:291
Nektar::Extrapolate::m_curl_dim
int m_curl_dim
Curl-curl dimensionality.
Definition: Extrapolate.h:226
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
Nektar::Extrapolate::m_PBndConds
Array< OneD, const SpatialDomains::BoundaryConditionShPtr > m_PBndConds
pressure boundary conditions container
Definition: Extrapolate.h:232
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vadd
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 Nektar::Extrapolate::CopyPressureHBCsToPbndExp ( void  )

Definition at line 141 of file Extrapolate.cpp.

References m_PBndConds, m_PBndExp, m_pressureHBCs, and Vmath::Vcopy().

Referenced by Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

142  {
143  int n,cnt;
144  int nlevels = m_pressureHBCs.num_elements();
145 
146  for(cnt = n = 0; n < m_PBndConds.num_elements(); ++n)
147  {
148  // High order boundary condition;
149  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"H"))
150  {
151  int nq = m_PBndExp[n]->GetNcoeffs();
152  Vmath::Vcopy(nq, &(m_pressureHBCs[nlevels-1])[cnt], 1,
153  &(m_PBndExp[n]->UpdateCoeffs()[0]), 1);
154  cnt += nq;
155  }
156 
157  }
158  }
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
Nektar::Extrapolate::m_pressureHBCs
Array< OneD, Array< OneD, NekDouble > > m_pressureHBCs
Storage for current and previous levels of high order pressure boundary conditions.
Definition: Extrapolate.h:271
Nektar::Extrapolate::m_PBndConds
Array< OneD, const SpatialDomains::BoundaryConditionShPtr > m_PBndConds
pressure boundary conditions container
Definition: Extrapolate.h:232
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::Extrapolate::CorrectPressureBCs ( const Array< OneD, NekDouble > &  pressure)
inline

Definition at line 397 of file Extrapolate.h.

References v_CorrectPressureBCs().

399  {
400  v_CorrectPressureBCs(pressure);
401  }
Nektar::Extrapolate::v_CorrectPressureBCs
virtual void v_CorrectPressureBCs(const Array< OneD, NekDouble > &pressure)
Definition: Extrapolate.cpp:266
void Nektar::Extrapolate::CurlCurl ( Array< OneD, Array< OneD, const NekDouble > > &  Vel,
Array< OneD, Array< OneD, NekDouble > > &  Q,
const int  j 
)
protected

Curl Curl routine - dimension dependent

Definition at line 792 of file Extrapolate.cpp.

References ASSERTL0, Nektar::MultiRegions::DirCartesianMap, Nektar::MultiRegions::e2D, Nektar::MultiRegions::e3D, Nektar::MultiRegions::e3DH1D, Nektar::MultiRegions::e3DH2D, m_fields, m_HBCdata, m_negWavenumberSq, m_pressureBCsElmtMaxPts, m_wavenumber, Vmath::Smul(), Vmath::Vadd(), and Vmath::Vsub().

Referenced by v_CalcNeumannPressureBCs().

796  {
797  StdRegions::StdExpansionSharedPtr elmt
798  = m_fields[0]->GetExp(m_HBCdata[j].m_globalElmtID);
799 
800  Array<OneD,NekDouble> Vx(m_pressureBCsElmtMaxPts);
801  Array<OneD,NekDouble> Uy(m_pressureBCsElmtMaxPts);
802 
803  switch(m_fields[0]->GetExpType())
804  {
805  case MultiRegions::e2D:
806  {
807  Array<OneD,NekDouble> Dummy(m_pressureBCsElmtMaxPts);
808 
809  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Vel[1], Vx);
810  elmt->PhysDeriv(MultiRegions::DirCartesianMap[1], Vel[0], Uy);
811 
812  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Vx, 1, Uy, 1, Dummy, 1);
813 
814  elmt->PhysDeriv(Dummy,Q[1],Q[0]);
815 
816  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, -1.0, Q[1], 1, Q[1], 1);
817  }
818  break;
819 
820  case MultiRegions::e3DH1D:
821  {
822  Array<OneD,NekDouble> Wz(m_pressureBCsElmtMaxPts);
823 
824  Array<OneD,NekDouble> Dummy1(m_pressureBCsElmtMaxPts);
825  Array<OneD,NekDouble> Dummy2(m_pressureBCsElmtMaxPts);
826 
827  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Vel[1], Vx);
828  elmt->PhysDeriv(MultiRegions::DirCartesianMap[1], Vel[0], Uy);
829  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_wavenumber[j],
830  Vel[2], 1, Wz, 1);
831 
832  elmt->PhysDeriv(MultiRegions::DirCartesianMap[1], Vx, Dummy1);
833  elmt->PhysDeriv(MultiRegions::DirCartesianMap[1], Uy, Dummy2);
834  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Dummy1, 1, Dummy2, 1,
835  Q[0], 1);
836  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_negWavenumberSq[j],
837  Vel[0], 1, Dummy1, 1);
838  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Wz, Dummy2);
839  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Q[0], 1, Dummy1, 1,
840  Q[0], 1);
841  Vmath::Vadd(m_HBCdata[j].m_ptsInElmt, Q[0], 1, Dummy2, 1,
842  Q[0], 1);
843 
844  elmt->PhysDeriv(MultiRegions::DirCartesianMap[1], Wz, Dummy1);
845  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_negWavenumberSq[j],
846  Vel[1], 1, Dummy2, 1);
847  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Dummy1, 1, Dummy2, 1,
848  Q[1], 1);
849  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Vx, Dummy1);
850  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Uy, Dummy2);
851  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Q[1], 1, Dummy1, 1,
852  Q[1], 1);
853  Vmath::Vadd(m_HBCdata[j].m_ptsInElmt, Q[1], 1, Dummy2, 1,
854  Q[1], 1);
855  }
856  break;
857  case MultiRegions::e3DH2D:
858  {
859  Array<OneD,NekDouble> Wx(m_pressureBCsElmtMaxPts);
860  Array<OneD,NekDouble> Wz(m_pressureBCsElmtMaxPts);
861  Array<OneD,NekDouble> Uz(m_pressureBCsElmtMaxPts);
862  Array<OneD,NekDouble> qz(m_pressureBCsElmtMaxPts);
863  Array<OneD,NekDouble> qy(m_pressureBCsElmtMaxPts);
864 
865  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Vel[2], Wx);
866  elmt->PhysDeriv(MultiRegions::DirCartesianMap[0], Vel[1], Vx);
867 
868  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_negWavenumberSq[j],
869  Vel[0], 1, Uy, 1);
870 
871  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_wavenumber[j],
872  Vel[0], 1, Uz, 1);
873 
874  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Wz, 1, Wx, 1,
875  qy, 1);
876  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Vx, 1, Uy, 1,
877  qz, 1);
878 
879  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_negWavenumberSq[j],
880  qz, 1, Uy, 1);
881 
882  Vmath::Smul(m_HBCdata[j].m_ptsInElmt, m_wavenumber[j],
883  qy, 1, Uz, 1);
884 
885  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Uy, 1, Uz, 1,
886  Q[0], 1);
887  }
888  break;
889  case MultiRegions::e3D:
890  {
891  Array<OneD,NekDouble> Dummy(m_pressureBCsElmtMaxPts);
892  Array<OneD,NekDouble> Vz(m_pressureBCsElmtMaxPts);
893  Array<OneD,NekDouble> Uz(m_pressureBCsElmtMaxPts);
894  Array<OneD,NekDouble> Wx(m_pressureBCsElmtMaxPts);
895  Array<OneD,NekDouble> Wy(m_pressureBCsElmtMaxPts);
896 
897  elmt->PhysDeriv(Vel[0], Dummy, Uy, Uz);
898  elmt->PhysDeriv(Vel[1], Vx, Dummy, Vz);
899  elmt->PhysDeriv(Vel[2], Wx, Wy, Dummy);
900 
901  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Wy, 1, Vz, 1, Q[0], 1);
902  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Uz, 1, Wx, 1, Q[1], 1);
903  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Vx, 1, Uy, 1, Q[2], 1);
904 
905  elmt->PhysDeriv(Q[0], Dummy, Wy, Vx);
906  elmt->PhysDeriv(Q[1], Wx, Dummy, Uz);
907  elmt->PhysDeriv(Q[2], Vz, Uy, Dummy);
908 
909  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Uy, 1, Uz, 1, Q[0], 1);
910  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Vx, 1, Vz, 1, Q[1], 1);
911  Vmath::Vsub(m_HBCdata[j].m_ptsInElmt, Wx, 1, Wy, 1, Q[2], 1);
912  }
913  break;
914  default:
915  ASSERTL0(0,"Dimension not supported");
916  break;
917  }
918  }
Nektar::Extrapolate::m_wavenumber
Array< OneD, NekDouble > m_wavenumber
wave number 2 pi k /Lz
Definition: Extrapolate.h:280
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::Extrapolate::m_pressureBCsElmtMaxPts
int m_pressureBCsElmtMaxPts
Maximum points used in Element adjacent to pressure BC evaluation.
Definition: Extrapolate.h:244
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_negWavenumberSq
Array< OneD, NekDouble > m_negWavenumberSq
minus Square of wavenumber
Definition: Extrapolate.h:283
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
Vmath::Vsub
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
Nektar::MultiRegions::DirCartesianMap
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:86
Nektar::Extrapolate::m_HBCdata
Array< OneD, HBCInfo > m_HBCdata
data structure to old all the information regarding High order pressure BCs
Definition: Extrapolate.h:277
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
Vmath::Vadd
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 Nektar::Extrapolate::EvaluatePressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray,
const Array< OneD, const Array< OneD, NekDouble > > &  N,
NekDouble  kinvis 
)
inline

Evaluate Pressure Boundary Conditions for Standard Extrapolation

Definition at line 324 of file Extrapolate.h.

References v_EvaluatePressureBCs().

328  {
329  v_EvaluatePressureBCs(inarray,N,kinvis);
330  }
Nektar::Extrapolate::v_EvaluatePressureBCs
virtual void v_EvaluatePressureBCs(const Array< OneD, const Array< OneD, NekDouble > > &inarray, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)=0
void Nektar::Extrapolate::ExtrapolateArray ( Array< OneD, Array< OneD, NekDouble > > &  oldarrays,
Array< OneD, NekDouble > &  newarray,
Array< OneD, NekDouble > &  outarray 
)

Update oldarrays to include newarray and extrapolate result to outarray

Definition at line 1507 of file Extrapolate.cpp.

References m_intSteps, m_pressureCalls, RollOver(), Vmath::Smul(), StifflyStable_Betaq_Coeffs, Vmath::Svtvp(), and Vmath::Vcopy().

1511  {
1512  int nint = min(m_pressureCalls,m_intSteps);
1513  int nPts = newarray.num_elements();
1514 
1515  // Update oldarrays
1516  RollOver(oldarrays);
1517  Vmath::Vcopy(nPts, newarray, 1, oldarrays[0], 1);
1518 
1519  // Extrapolate to outarray
1520  Vmath::Smul(nPts, StifflyStable_Betaq_Coeffs[nint-1][nint-1],
1521  oldarrays[nint-1], 1,
1522  outarray, 1);
1523 
1524  for(int n = 0; n < nint-1; ++n)
1525  {
1526  Vmath::Svtvp(nPts, StifflyStable_Betaq_Coeffs[nint-1][n],
1527  oldarrays[n],1,outarray,1,
1528  outarray,1);
1529  }
1530  }
Vmath::Svtvp
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
Nektar::Extrapolate::RollOver
void RollOver(Array< OneD, Array< OneD, NekDouble > > &input)
Definition: Extrapolate.cpp:1012
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::Extrapolate::m_intSteps
int m_intSteps
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:247
Nektar::Extrapolate::m_pressureCalls
int m_pressureCalls
number of times the high-order pressure BCs have been called
Definition: Extrapolate.h:238
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Nektar::Extrapolate::StifflyStable_Betaq_Coeffs
static NekDouble StifflyStable_Betaq_Coeffs[3][3]
total number of expansion for each plane (if homogeneous)
Definition: Extrapolate.h:312
void Nektar::Extrapolate::ExtrapolatePressureHBCs ( void  )

Definition at line 122 of file Extrapolate.cpp.

References m_intSteps, m_pressureCalls, m_pressureHBCs, Vmath::Smul(), StifflyStable_Betaq_Coeffs, and Vmath::Svtvp().

Referenced by Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

123  {
124  int nint = min(m_pressureCalls,m_intSteps);
125  int nlevels = m_pressureHBCs.num_elements();
126  int nHBCs = m_pressureHBCs[0].num_elements();
127  Vmath::Smul(nHBCs, StifflyStable_Betaq_Coeffs[nint-1][nint-1],
128  m_pressureHBCs[nint-1], 1,
129  m_pressureHBCs[nlevels-1], 1);
130 
131  for(int n = 0; n < nint-1; ++n)
132  {
133  Vmath::Svtvp(nHBCs, StifflyStable_Betaq_Coeffs[nint-1][n],
134  m_pressureHBCs[n],1,m_pressureHBCs[nlevels-1],1,
135  m_pressureHBCs[nlevels-1],1);
136  }
137  }
Vmath::Svtvp
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
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::Extrapolate::m_intSteps
int m_intSteps
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:247
Nektar::Extrapolate::m_pressureCalls
int m_pressureCalls
number of times the high-order pressure BCs have been called
Definition: Extrapolate.h:238
Nektar::Extrapolate::m_pressureHBCs
Array< OneD, Array< OneD, NekDouble > > m_pressureHBCs
Storage for current and previous levels of high order pressure boundary conditions.
Definition: Extrapolate.h:271
Nektar::Extrapolate::StifflyStable_Betaq_Coeffs
static NekDouble StifflyStable_Betaq_Coeffs[3][3]
total number of expansion for each plane (if homogeneous)
Definition: Extrapolate.h:312
void Nektar::Extrapolate::GenerateHOPBCMap ( )

Map to directly locate HOPBCs position and offsets in all scenarios

Definition at line 1032 of file Extrapolate.cpp.

References ASSERTL0, Nektar::MultiRegions::e2D, Nektar::MultiRegions::e3D, Nektar::MultiRegions::e3DH1D, Nektar::MultiRegions::e3DH2D, m_acceleration, m_bnd_dim, m_comm, m_curl_dim, m_fields, m_HalfMode, m_HBCdata, m_intSteps, m_LhomZ, m_MultipleModes, m_negWavenumberSq, m_npointsY, m_npointsZ, m_PBndConds, m_PBndExp, m_pressure, m_pressureBCsElmtMaxPts, m_pressureBCsMaxPts, m_pressureBCtoElmtID, m_pressureBCtoTraceID, m_pressureCalls, m_pressureHBCs, m_session, m_SingleMode, m_wavenumber, Nektar::LibUtilities::ReduceSum, and sign.

1033  {
1034 
1035  int pindex=m_fields.num_elements()-1;
1036 
1037  m_PBndConds = m_pressure->GetBndConditions();
1038  m_PBndExp = m_pressure->GetBndCondExpansions();
1039 
1040  // Set up mapping from pressure boundary condition to pressure element
1041  // details.
1042  m_pressure->GetBoundaryToElmtMap(m_pressureBCtoElmtID,
1043  m_pressureBCtoTraceID);
1044 
1045  // find the maximum values of points for pressure BC evaluation
1046  m_pressureBCsMaxPts = 0;
1047  m_pressureBCsElmtMaxPts = 0;
1048  int cnt, n;
1049  for(cnt = n = 0; n < m_PBndConds.num_elements(); ++n)
1050  {
1051  for(int i = 0; i < m_PBndExp[n]->GetExpSize(); ++i)
1052  {
1053  m_pressureBCsMaxPts = max(m_pressureBCsMaxPts,
1054  m_PBndExp[n]->GetExp(i)->GetTotPoints());
1055  m_pressureBCsElmtMaxPts = max(m_pressureBCsElmtMaxPts,
1056  m_pressure->GetExp(m_pressureBCtoElmtID[cnt++])
1057  ->GetTotPoints());
1058  }
1059  }
1060 
1061  // Storage array for high order pressure BCs
1062  m_pressureHBCs = Array<OneD, Array<OneD, NekDouble> > (m_intSteps);
1063  m_acceleration = Array<OneD, Array<OneD, NekDouble> > (m_intSteps + 1);
1064 
1065  int HBCnumber = 0;
1066  for(cnt = n = 0; n < m_PBndConds.num_elements(); ++n)
1067  {
1068  // High order boundary condition;
1069  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"H"))
1070  {
1071  cnt += m_PBndExp[n]->GetNcoeffs();
1072  HBCnumber += m_PBndExp[n]->GetExpSize();
1073  }
1074  }
1075 
1076  int checkHBC = HBCnumber;
1077  m_comm->AllReduce(checkHBC,LibUtilities::ReduceSum);
1078  //ASSERTL0(checkHBC > 0 ,"At least one high-order pressure boundary "
1079  //"condition is required for scheme "
1080  //"consistency");
1081 
1082  m_acceleration[0] = Array<OneD, NekDouble>(cnt, 0.0);
1083  for(n = 0; n < m_intSteps; ++n)
1084  {
1085  m_pressureHBCs[n] = Array<OneD, NekDouble>(cnt, 0.0);
1086  m_acceleration[n+1] = Array<OneD, NekDouble>(cnt, 0.0);
1087  }
1088 
1089  m_pressureCalls = 0;
1090 
1091  switch(m_pressure->GetExpType())
1092  {
1093  case MultiRegions::e2D:
1094  {
1095  m_curl_dim = 2;
1096  m_bnd_dim = 2;
1097  }
1098  break;
1099  case MultiRegions::e3DH1D:
1100  {
1101  m_curl_dim = 3;
1102  m_bnd_dim = 2;
1103  }
1104  break;
1105  case MultiRegions::e3DH2D:
1106  {
1107  m_curl_dim = 3;
1108  m_bnd_dim = 1;
1109  }
1110  break;
1111  case MultiRegions::e3D:
1112  {
1113  m_curl_dim = 3;
1114  m_bnd_dim = 3;
1115  }
1116  break;
1117  default:
1118  ASSERTL0(0,"Dimension not supported");
1119  break;
1120  }
1121 
1122 
1123  m_HBCdata = Array<OneD, HBCInfo>(HBCnumber);
1124  StdRegions::StdExpansionSharedPtr elmt;
1125 
1126  switch(m_pressure->GetExpType())
1127  {
1128  case MultiRegions::e2D:
1129  case MultiRegions::e3D:
1130  {
1131  int coeff_count = 0;
1132  int exp_size;
1133  int j=0;
1134  int cnt = 0;
1135  for(int n = 0 ; n < m_PBndConds.num_elements(); ++n)
1136  {
1137  exp_size = m_PBndExp[n]->GetExpSize();
1138 
1139  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"H"))
1140  {
1141  for(int i = 0; i < exp_size; ++i,cnt++)
1142  {
1143  m_HBCdata[j].m_globalElmtID = m_pressureBCtoElmtID[cnt];
1144  elmt = m_fields[pindex]->GetExp(m_HBCdata[j].m_globalElmtID);
1145  m_HBCdata[j].m_ptsInElmt = elmt->GetTotPoints();
1146  m_HBCdata[j].m_physOffset = m_fields[pindex]->GetPhys_Offset(m_HBCdata[j].m_globalElmtID);
1147  m_HBCdata[j].m_bndElmtID = i;
1148  m_HBCdata[j].m_elmtTraceID = m_pressureBCtoTraceID[cnt];
1149  m_HBCdata[j].m_bndryID = n;
1150  m_HBCdata[j].m_coeffOffset = coeff_count;
1151  coeff_count += elmt->GetTraceNcoeffs(m_HBCdata[j].m_elmtTraceID);
1152  j = j+1;
1153  }
1154  }
1155  else // setting if just standard BC no High order
1156  {
1157  cnt += exp_size;
1158  }
1159  }
1160  }
1161  break;
1162 
1163  case MultiRegions::e3DH1D:
1164  {
1165  Array<OneD, unsigned int> planes;
1166  planes = m_pressure->GetZIDs();
1167  int num_planes = planes.num_elements();
1168  int num_elm_per_plane = (m_pressure->GetExpSize())/num_planes;
1169 
1170  m_wavenumber = Array<OneD, NekDouble>(HBCnumber);
1171  m_negWavenumberSq = Array<OneD, NekDouble>(HBCnumber);
1172 
1173  int exp_size, exp_size_per_plane;
1174  int i, j, k, n;
1175  int K;
1176  NekDouble sign = -1.0;
1177  int cnt = 0;
1178 
1179  m_session->MatchSolverInfo("ModeType", "SingleMode",
1180  m_SingleMode, false);
1181  m_session->MatchSolverInfo("ModeType", "HalfMode",
1182  m_HalfMode, false);
1183  m_session->MatchSolverInfo("ModeType", "MultipleModes",
1184  m_MultipleModes, false);
1185  m_session->LoadParameter("LZ", m_LhomZ);
1186 
1187  // Stability Analysis flags
1188  if(m_session->DefinesSolverInfo("ModeType"))
1189  {
1190  if(m_SingleMode)
1191  {
1192  m_npointsZ = 2;
1193  }
1194  else if(m_HalfMode)
1195  {
1196  m_npointsZ = 1;
1197  }
1198  else if(m_MultipleModes)
1199  {
1200  m_npointsZ = m_session->GetParameter("HomModesZ");
1201  }
1202  else
1203  {
1204  ASSERTL0(false, "SolverInfo ModeType not valid");
1205  }
1206  }
1207  else
1208  {
1209  m_npointsZ = m_session->GetParameter("HomModesZ");
1210  }
1211 
1212  int coeff_count = 0;
1213 
1214  for(n = 0, j= 0, cnt = 0; n < m_PBndConds.num_elements(); ++n)
1215  {
1216  exp_size = m_PBndExp[n]->GetExpSize();
1217  exp_size_per_plane = exp_size/num_planes;
1218 
1219  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"H"))
1220  {
1221  for(k = 0; k < num_planes; k++)
1222  {
1223  K = planes[k]/2;
1224  for(i = 0; i < exp_size_per_plane; ++i, ++j, ++cnt)
1225  {
1226  m_HBCdata[j].m_globalElmtID = m_pressureBCtoElmtID[cnt];
1227  elmt = m_fields[pindex]->GetExp(m_HBCdata[j].m_globalElmtID);
1228  m_HBCdata[j].m_ptsInElmt = elmt->GetTotPoints();
1229  m_HBCdata[j].m_physOffset = m_fields[pindex]->GetPhys_Offset(m_HBCdata[j].m_globalElmtID);
1230  m_HBCdata[j].m_bndElmtID = i+k*exp_size_per_plane;
1231  m_HBCdata[j].m_elmtTraceID = m_pressureBCtoTraceID[cnt];
1232  m_HBCdata[j].m_bndryID = n;
1233  m_HBCdata[j].m_coeffOffset = coeff_count;
1234  coeff_count += elmt->GetEdgeNcoeffs(m_HBCdata[j].m_elmtTraceID);
1235 
1236  if(m_SingleMode)
1237  {
1238  m_wavenumber[j] = -2*M_PI/m_LhomZ;
1239  m_negWavenumberSq[j] = -1.0*m_wavenumber[j]*m_wavenumber[j];
1240  }
1241  else if(m_HalfMode || m_MultipleModes)
1242  {
1243  m_wavenumber[j] = 2*M_PI/m_LhomZ;
1244  m_negWavenumberSq[j] = -1.0*m_wavenumber[j]*m_wavenumber[j];
1245  }
1246  else
1247  {
1248  m_wavenumber[j] = 2*M_PI*sign*(NekDouble(K))/m_LhomZ;
1249  m_negWavenumberSq[j] = -1.0*m_wavenumber[j]*m_wavenumber[j];
1250  }
1251 
1252  int assElmtID;
1253 
1254  if(k%2==0)
1255  {
1256  if(m_HalfMode)
1257  {
1258  assElmtID = m_HBCdata[j].m_globalElmtID;
1259 
1260  }
1261  else
1262  {
1263  assElmtID = m_HBCdata[j].m_globalElmtID + num_elm_per_plane;
1264  }
1265  }
1266  else
1267  {
1268  assElmtID = m_HBCdata[j].m_globalElmtID - num_elm_per_plane;
1269  }
1270 
1271  m_HBCdata[j].m_assPhysOffset = m_pressure->GetPhys_Offset(assElmtID);
1272  }
1273  sign = -1.0*sign;
1274  }
1275  }
1276  else
1277  {
1278  cnt += exp_size;
1279  }
1280  }
1281  }
1282  break;
1283 
1284  case MultiRegions::e3DH2D:
1285  {
1286  int cnt = 0;
1287  int exp_size, exp_size_per_line;
1288  int j=0;
1289 
1290  for(int k1 = 0; k1 < m_npointsZ; k1++)
1291  {
1292  for(int k2 = 0; k2 < m_npointsY; k2++)
1293  {
1294  for(int n = 0 ; n < m_PBndConds.num_elements(); ++n)
1295  {
1296  exp_size = m_PBndExp[n]->GetExpSize();
1297 
1298  exp_size_per_line = exp_size/(m_npointsZ*m_npointsY);
1299 
1300  if(boost::iequals(m_PBndConds[n]->GetUserDefined(),"H"))
1301  {
1302  for(int i = 0; i < exp_size_per_line; ++i,cnt++)
1303  {
1304  // find element and edge of this expansion.
1305  m_HBCdata[j].m_globalElmtID = m_pressureBCtoElmtID[cnt];
1306  elmt = m_fields[pindex]->GetExp(m_HBCdata[j].m_globalElmtID);
1307  m_HBCdata[j].m_ptsInElmt = elmt->GetTotPoints();
1308  m_HBCdata[j].m_physOffset = m_fields[pindex]->GetPhys_Offset(m_HBCdata[j].m_globalElmtID);
1309  m_HBCdata[j].m_bndElmtID = i+(k1*m_npointsY+k2)*exp_size_per_line;
1310  m_HBCdata[j].m_elmtTraceID = m_pressureBCtoTraceID[cnt];
1311  m_HBCdata[j].m_bndryID = n;
1312  //m_wavenumber[j] = 2*M_PI*sign*(NekDouble(k1))/m_LhomZ;
1313  //m_negWavenumberSq[j] = 2*M_PI*sign*(NekDouble(k2))/m_LhomY;
1314  }
1315  }
1316  else
1317  {
1318  cnt += exp_size_per_line;
1319  }
1320  }
1321  }
1322  }
1323  }
1324  break;
1325  default:
1326  ASSERTL0(0,"Dimension not supported");
1327  break;
1328  }
1329  }
Nektar::Extrapolate::m_wavenumber
Array< OneD, NekDouble > m_wavenumber
wave number 2 pi k /Lz
Definition: Extrapolate.h:280
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::Extrapolate::m_pressure
MultiRegions::ExpListSharedPtr m_pressure
Pointer to field holding pressure field.
Definition: Extrapolate.h:215
Nektar::Extrapolate::m_session
LibUtilities::SessionReaderSharedPtr m_session
Definition: Extrapolate.h:208
Nektar::Extrapolate::m_pressureBCsMaxPts
int m_pressureBCsMaxPts
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:241
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
sign
#define sign(a, b)
return the sign(b)*a
Definition: Polylib.cpp:22
Nektar::Extrapolate::m_SingleMode
bool m_SingleMode
Flag to determine if single homogeneous mode is used.
Definition: Extrapolate.h:252
Nektar::Extrapolate::m_pressureBCsElmtMaxPts
int m_pressureBCsElmtMaxPts
Maximum points used in Element adjacent to pressure BC evaluation.
Definition: Extrapolate.h:244
Nektar::Extrapolate::m_npointsY
int m_npointsY
number of points in Y direction (if homogeneous)
Definition: Extrapolate.h:261
Nektar::Extrapolate::m_comm
LibUtilities::CommSharedPtr m_comm
Definition: Extrapolate.h:210
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_negWavenumberSq
Array< OneD, NekDouble > m_negWavenumberSq
minus Square of wavenumber
Definition: Extrapolate.h:283
Nektar::Extrapolate::m_bnd_dim
int m_bnd_dim
bounday dimensionality
Definition: Extrapolate.h:229
Nektar::Extrapolate::m_pressureBCtoElmtID
Array< OneD, int > m_pressureBCtoElmtID
Id of element to which pressure boundary condition belongs.
Definition: Extrapolate.h:265
Nektar::Extrapolate::m_acceleration
Array< OneD, Array< OneD, NekDouble > > m_acceleration
Storage for current and previous levels of the acceleration term.
Definition: Extrapolate.h:274
Nektar::Extrapolate::m_intSteps
int m_intSteps
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:247
Nektar::Extrapolate::m_LhomZ
NekDouble m_LhomZ
physical length in Z direction (if homogeneous)
Definition: Extrapolate.h:258
Nektar::Extrapolate::m_MultipleModes
bool m_MultipleModes
Flag to determine if use multiple homogenenous modes are used.
Definition: Extrapolate.h:256
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::Extrapolate::m_pressureBCtoTraceID
Array< OneD, int > m_pressureBCtoTraceID
Id of edge (2D) or face (3D) to which pressure boundary condition belongs.
Definition: Extrapolate.h:268
Nektar::Extrapolate::m_pressureCalls
int m_pressureCalls
number of times the high-order pressure BCs have been called
Definition: Extrapolate.h:238
Nektar::Extrapolate::m_pressureHBCs
Array< OneD, Array< OneD, NekDouble > > m_pressureHBCs
Storage for current and previous levels of high order pressure boundary conditions.
Definition: Extrapolate.h:271
Nektar::Extrapolate::m_HBCdata
Array< OneD, HBCInfo > m_HBCdata
data structure to old all the information regarding High order pressure BCs
Definition: Extrapolate.h:277
Nektar::Extrapolate::m_npointsZ
int m_npointsZ
number of points in Z direction (if homogeneous)
Definition: Extrapolate.h:262
Nektar::Extrapolate::m_curl_dim
int m_curl_dim
Curl-curl dimensionality.
Definition: Extrapolate.h:226
Nektar::Extrapolate::m_HalfMode
bool m_HalfMode
Flag to determine if half homogeneous mode is used.
Definition: Extrapolate.h:254
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
Nektar::Extrapolate::m_PBndConds
Array< OneD, const SpatialDomains::BoundaryConditionShPtr > m_PBndConds
pressure boundary conditions container
Definition: Extrapolate.h:232
Array< OneD, NekDouble > Nektar::Extrapolate::GetMaxStdVelocity ( const Array< OneD, Array< OneD, NekDouble > >  inarray)

Definition at line 1334 of file Extrapolate.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDeformed, m_curl_dim, and m_fields.

Referenced by Nektar::SubSteppingExtrapolate::GetSubstepTimeStep().

1336  {
1337  // Checking if the problem is 2D
1338  ASSERTL0(m_curl_dim >= 2, "Method not implemented for 1D");
1339 
1340  int n_points_0 = m_fields[0]->GetExp(0)->GetTotPoints();
1341  int n_element = m_fields[0]->GetExpSize();
1342  int nvel = inarray.num_elements();
1343  int cnt;
1344 
1345  NekDouble pntVelocity;
1346 
1347  // Getting the standard velocity vector on the 2D normal space
1348  Array<OneD, Array<OneD, NekDouble> > stdVelocity(nvel);
1349  Array<OneD, NekDouble> maxV(n_element, 0.0);
1350  LibUtilities::PointsKeyVector ptsKeys;
1351 
1352  for (int i = 0; i < nvel; ++i)
1353  {
1354  stdVelocity[i] = Array<OneD, NekDouble>(n_points_0);
1355  }
1356 
1357  if (nvel == 2)
1358  {
1359  cnt = 0.0;
1360  for (int el = 0; el < n_element; ++el)
1361  {
1362  int n_points = m_fields[0]->GetExp(el)->GetTotPoints();
1363  ptsKeys = m_fields[0]->GetExp(el)->GetPointsKeys();
1364 
1365  // reset local space if necessary
1366  if(n_points != n_points_0)
1367  {
1368  for (int j = 0; j < nvel; ++j)
1369  {
1370  stdVelocity[j] = Array<OneD, NekDouble>(n_points);
1371  }
1372  n_points_0 = n_points;
1373  }
1374 
1375  Array<TwoD, const NekDouble> gmat =
1376  m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetDerivFactors(ptsKeys);
1377 
1378  if (m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetGtype()
1379  == SpatialDomains::eDeformed)
1380  {
1381  for (int i = 0; i < n_points; i++)
1382  {
1383  stdVelocity[0][i] = gmat[0][i]*inarray[0][i+cnt]
1384  + gmat[2][i]*inarray[1][i+cnt];
1385 
1386  stdVelocity[1][i] = gmat[1][i]*inarray[0][i+cnt]
1387  + gmat[3][i]*inarray[1][i+cnt];
1388  }
1389  }
1390  else
1391  {
1392  for (int i = 0; i < n_points; i++)
1393  {
1394  stdVelocity[0][i] = gmat[0][0]*inarray[0][i+cnt]
1395  + gmat[2][0]*inarray[1][i+cnt];
1396 
1397  stdVelocity[1][i] = gmat[1][0]*inarray[0][i+cnt]
1398  + gmat[3][0]*inarray[1][i+cnt];
1399  }
1400  }
1401 
1402  cnt += n_points;
1403 
1404 
1405  for (int i = 0; i < n_points; i++)
1406  {
1407  pntVelocity = stdVelocity[0][i]*stdVelocity[0][i]
1408  + stdVelocity[1][i]*stdVelocity[1][i];
1409 
1410  if (pntVelocity>maxV[el])
1411  {
1412  maxV[el] = pntVelocity;
1413  }
1414  }
1415  maxV[el] = sqrt(maxV[el]);
1416  }
1417  }
1418  else
1419  {
1420  cnt = 0;
1421  for (int el = 0; el < n_element; ++el)
1422  {
1423 
1424  int n_points = m_fields[0]->GetExp(el)->GetTotPoints();
1425  ptsKeys = m_fields[0]->GetExp(el)->GetPointsKeys();
1426 
1427  // reset local space if necessary
1428  if(n_points != n_points_0)
1429  {
1430  for (int j = 0; j < nvel; ++j)
1431  {
1432  stdVelocity[j] = Array<OneD, NekDouble>(n_points);
1433  }
1434  n_points_0 = n_points;
1435  }
1436 
1437  Array<TwoD, const NekDouble> gmat =
1438  m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetDerivFactors(ptsKeys);
1439 
1440  if (m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetGtype()
1441  == SpatialDomains::eDeformed)
1442  {
1443  for (int i = 0; i < n_points; i++)
1444  {
1445  stdVelocity[0][i] = gmat[0][i]*inarray[0][i+cnt]
1446  + gmat[3][i]*inarray[1][i+cnt]
1447  + gmat[6][i]*inarray[2][i+cnt];
1448 
1449  stdVelocity[1][i] = gmat[1][i]*inarray[0][i+cnt]
1450  + gmat[4][i]*inarray[1][i+cnt]
1451  + gmat[7][i]*inarray[2][i+cnt];
1452 
1453  stdVelocity[2][i] = gmat[2][i]*inarray[0][i+cnt]
1454  + gmat[5][i]*inarray[1][i+cnt]
1455  + gmat[8][i]*inarray[2][i+cnt];
1456  }
1457  }
1458  else
1459  {
1460  for (int i = 0; i < n_points; i++)
1461  {
1462  stdVelocity[0][i] = gmat[0][0]*inarray[0][i+cnt]
1463  + gmat[3][0]*inarray[1][i+cnt]
1464  + gmat[6][0]*inarray[2][i+cnt];
1465 
1466  stdVelocity[1][i] = gmat[1][0]*inarray[0][i+cnt]
1467  + gmat[4][0]*inarray[1][i+cnt]
1468  + gmat[7][0]*inarray[2][i+cnt];
1469 
1470  stdVelocity[2][i] = gmat[2][0]*inarray[0][i+cnt]
1471  + gmat[5][0]*inarray[1][i+cnt]
1472  + gmat[8][0]*inarray[2][i+cnt];
1473  }
1474  }
1475 
1476  cnt += n_points;
1477 
1478  for (int i = 0; i < n_points; i++)
1479  {
1480  pntVelocity = stdVelocity[0][i]*stdVelocity[0][i]
1481  + stdVelocity[1][i]*stdVelocity[1][i]
1482  + stdVelocity[2][i]*stdVelocity[2][i];
1483 
1484  if (pntVelocity > maxV[el])
1485  {
1486  maxV[el] = pntVelocity;
1487  }
1488  }
1489 
1490  maxV[el] = sqrt(maxV[el]);
1491  }
1492  }
1493 
1494  return maxV;
1495  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::LibUtilities::PointsKeyVector
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:220
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::Extrapolate::m_curl_dim
int m_curl_dim
Curl-curl dimensionality.
Definition: Extrapolate.h:226
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
LibUtilities::TimeIntegrationMethod Nektar::Extrapolate::GetSubStepIntegrationMethod ( void  )
inline

Definition at line 389 of file Extrapolate.h.

References v_GetSubStepIntegrationMethod().

390  {
391  return v_GetSubStepIntegrationMethod();
392  }
Nektar::Extrapolate::v_GetSubStepIntegrationMethod
virtual LibUtilities::TimeIntegrationMethod v_GetSubStepIntegrationMethod(void)
Definition: Extrapolate.cpp:1498
void Nektar::Extrapolate::IProductNormVelocityBCOnHBC ( Array< OneD, NekDouble > &  IprodVn)

Definition at line 962 of file Extrapolate.cpp.

References m_bnd_dim, m_fields, m_HBCdata, m_PBndExp, m_pressureBCsMaxPts, and m_velocity.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt().

963  {
964 
965  int i,j,n;
966 
967  StdRegions::StdExpansionSharedPtr Pbc;
968 
969  Array<OneD, Array<OneD, MultiRegions::ExpListSharedPtr> > VelBndExp(m_bnd_dim);
970 
971  for(i = 0; i < m_bnd_dim; ++i)
972  {
973  VelBndExp[i] = m_fields[m_velocity[i]]->GetBndCondExpansions();
974  }
975 
976  Array<OneD, Array<OneD, NekDouble> > velbc(m_bnd_dim);
977  velbc[0] = Array<OneD, NekDouble>(m_bnd_dim*m_pressureBCsMaxPts);
978  for(i = 1; i < m_bnd_dim; ++i)
979  {
980  velbc[i] = velbc[i-1] + m_pressureBCsMaxPts;
981  }
982 
983  Array<OneD, NekDouble> Velmt,IProdVnTmp;
984  int bndid,elmtid;
985 
986  for(n = 0; n < m_HBCdata.num_elements(); ++n)
987  {
988  bndid = m_HBCdata[n].m_bndryID;
989  elmtid = m_HBCdata[n].m_bndElmtID;
990 
991  // Get velocity bc
992  for(j = 0; j < m_bnd_dim; ++j)
993  {
994  VelBndExp[j][bndid]->GetExp(elmtid)->BwdTrans(VelBndExp[j][bndid]->GetCoeffs() +
995  VelBndExp[j][bndid]->GetCoeff_Offset(elmtid),
996  velbc[j]);
997  }
998 
999  IProdVnTmp = IProdVn + m_HBCdata[n].m_coeffOffset;
1000  // Evaluate Iproduct wrt norm term
1001  Pbc = m_PBndExp[m_HBCdata[n].m_bndryID]->GetExp(m_HBCdata[n].m_bndElmtID);
1002  Pbc->NormVectorIProductWRTBase(velbc,IProdVnTmp);
1003  }
1004  }
Nektar::Extrapolate::m_velocity
Array< OneD, int > m_velocity
int which identifies which components of m_fields contains the velocity (u,v,w);
Definition: Extrapolate.h:219
Nektar::Extrapolate::m_pressureBCsMaxPts
int m_pressureBCsMaxPts
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:241
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_bnd_dim
int m_bnd_dim
bounday dimensionality
Definition: Extrapolate.h:229
Nektar::Extrapolate::m_HBCdata
Array< OneD, HBCInfo > m_HBCdata
data structure to old all the information regarding High order pressure BCs
Definition: Extrapolate.h:277
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
void Nektar::Extrapolate::IProductNormVelocityOnHBC ( const Array< OneD, const Array< OneD, NekDouble > > &  Vel,
Array< OneD, NekDouble > &  IprodVn 
)

Picking up the element where the HOPBc is located

Definition at line 921 of file Extrapolate.cpp.

References m_bnd_dim, m_fields, m_HBCdata, m_PBndExp, and m_pressureBCsMaxPts.

Referenced by CalcExplicitDuDt(), and Nektar::SubSteppingExtrapolate::v_SubStepAdvance().

924  {
925 
926  int i,j,n;
927 
928  int pindex=m_fields.num_elements()-1;
929  StdRegions::StdExpansionSharedPtr Pbc,elmt;
930 
931  Array<OneD, Array<OneD, NekDouble> > velbc(m_bnd_dim);
932  velbc[0] = Array<OneD, NekDouble>(m_bnd_dim*m_pressureBCsMaxPts);
933  for(i = 1; i < m_bnd_dim; ++i)
934  {
935  velbc[i] = velbc[i-1] + m_pressureBCsMaxPts;
936  }
937 
938  Array<OneD, NekDouble> Velmt,IProdVnTmp;
939 
940  for(n = 0; n < m_HBCdata.num_elements(); ++n)
941  {
942  Pbc = m_PBndExp[m_HBCdata[n].m_bndryID]->GetExp(m_HBCdata[n].m_bndElmtID);
943 
944  /// Picking up the element where the HOPBc is located
945  elmt = m_fields[pindex]->GetExp(m_HBCdata[n].m_globalElmtID);
946 
947  // Get velocity bc
948  for(j = 0; j < m_bnd_dim; ++j)
949  {
950  // Get edge values and put into velbc
951  Velmt = Vel[j] + m_HBCdata[n].m_physOffset;
952  elmt->GetTracePhysVals(m_HBCdata[n].m_elmtTraceID,Pbc,Velmt,velbc[j]);
953  }
954 
955  IProdVnTmp = IProdVn + m_HBCdata[n].m_coeffOffset;
956 
957  // Evaluate Iproduct wrt norm term
958  Pbc->NormVectorIProductWRTBase(velbc,IProdVnTmp);
959  }
960  }
Nektar::Extrapolate::m_pressureBCsMaxPts
int m_pressureBCsMaxPts
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:241
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_bnd_dim
int m_bnd_dim
bounday dimensionality
Definition: Extrapolate.h:229
Nektar::Extrapolate::m_HBCdata
Array< OneD, HBCInfo > m_HBCdata
data structure to old all the information regarding High order pressure BCs
Definition: Extrapolate.h:277
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
void Nektar::Extrapolate::MountHOPBCs ( int  HBCdata,
NekDouble  kinvis,
Array< OneD, NekDouble > &  Q,
Array< OneD, const NekDouble > &  Advection 
)
inline

Definition at line 376 of file Extrapolate.h.

References v_MountHOPBCs().

Referenced by Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), and v_CalcNeumannPressureBCs().

381  {
382  v_MountHOPBCs(HBCdata,kinvis,Q,Advection);
383  }
Nektar::Extrapolate::v_MountHOPBCs
virtual void v_MountHOPBCs(int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)=0
void Nektar::Extrapolate::RollOver ( Array< OneD, Array< OneD, NekDouble > > &  input)
protected

Function to roll time-level storages to the next step layout. The stored data associated with the oldest time-level (not required anymore) are moved to the top, where they will be overwritten as the solution process progresses.

Definition at line 1012 of file Extrapolate.cpp.

Referenced by CalcExplicitDuDt(), CalcOutflowBCs(), ExtrapolateArray(), Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

1013  {
1014  int nlevels = input.num_elements();
1015 
1016  Array<OneD, NekDouble> tmp;
1017 
1018  tmp = input[nlevels-1];
1019 
1020  for(int n = nlevels-1; n > 0; --n)
1021  {
1022  input[n] = input[n-1];
1023  }
1024 
1025  input[0] = tmp;
1026  }
void Nektar::Extrapolate::SubStepAdvance ( const LibUtilities::TimeIntegrationSolutionSharedPtr &  integrationSoln,
const int  nstep,
NekDouble  time 
)
inline

Definition at line 365 of file Extrapolate.h.

References v_SubStepAdvance().

369  {
370  v_SubStepAdvance(integrationSoln,nstep, time);
371  }
Nektar::Extrapolate::v_SubStepAdvance
virtual void v_SubStepAdvance(const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, int nstep, NekDouble time)=0
void Nektar::Extrapolate::SubSteppingTimeIntegration ( const int  intMethod,
const LibUtilities::TimeIntegrationWrapperSharedPtr &  IntegrationScheme 
)
inline

Definition at line 335 of file Extrapolate.h.

References v_SubSteppingTimeIntegration().

338  {
339  v_SubSteppingTimeIntegration(intMethod, IntegrationScheme);
340  }
Nektar::Extrapolate::v_SubSteppingTimeIntegration
virtual void v_SubSteppingTimeIntegration(int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)=0
void Nektar::Extrapolate::SubStepSaveFields ( const int  nstep)
inline

Definition at line 345 of file Extrapolate.h.

References v_SubStepSaveFields().

347  {
348  v_SubStepSaveFields(nstep);
349  }
Nektar::Extrapolate::v_SubStepSaveFields
virtual void v_SubStepSaveFields(int nstep)=0
void Nektar::Extrapolate::SubStepSetPressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray,
const NekDouble  Aii_DT,
NekDouble  kinvis 
)
inline

Definition at line 354 of file Extrapolate.h.

References v_SubStepSetPressureBCs().

358  {
359  v_SubStepSetPressureBCs(inarray,Aii_DT,kinvis);
360  }
Nektar::Extrapolate::v_SubStepSetPressureBCs
virtual void v_SubStepSetPressureBCs(const Array< OneD, const Array< OneD, NekDouble > > &inarray, NekDouble Aii_DT, NekDouble kinvis)=0
void Nektar::Extrapolate::v_CalcNeumannPressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  fields,
const Array< OneD, const Array< OneD, NekDouble > > &  N,
NekDouble  kinvis 
)
protectedvirtual

Unified routine for calculation high-oder terms

Casting the boundary expansion to the specific case

Picking up the element where the HOPBc is located

Assigning

Calculating the curl-curl and storing it in Q

Reimplemented in Nektar::MappingExtrapolate.

Definition at line 163 of file Extrapolate.cpp.

References ASSERTL0, CurlCurl(), Nektar::MultiRegions::e2D, Nektar::MultiRegions::e3D, Nektar::MultiRegions::e3DH1D, Nektar::MultiRegions::e3DH2D, m_bnd_dim, m_curl_dim, m_fields, m_HBCdata, m_PBndExp, m_pressure, m_pressureBCsElmtMaxPts, m_pressureBCsMaxPts, m_pressureHBCs, and MountHOPBCs().

Referenced by CalcNeumannPressureBCs(), and Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs().

167  {
168  Array<OneD, NekDouble> Pvals;
169  StdRegions::StdExpansionSharedPtr Pbc;
170  StdRegions::StdExpansionSharedPtr elmt;
171 
172  int pindex=N.num_elements();
173 
174  Array<OneD, Array<OneD, const NekDouble> > Velocity(m_curl_dim);
175  Array<OneD, Array<OneD, const NekDouble> > Advection(m_bnd_dim);
176 
177  Array<OneD, Array<OneD, NekDouble> > BndValues(m_bnd_dim);
178  Array<OneD, Array<OneD, NekDouble> > Q(m_bnd_dim);
179 
180  for(int i = 0; i < m_bnd_dim; i++)
181  {
182  BndValues[i] = Array<OneD, NekDouble> (m_pressureBCsMaxPts,0.0);
183  Q[i] = Array<OneD, NekDouble> (m_pressureBCsElmtMaxPts,0.0);
184  }
185 
186  for(int j = 0 ; j < m_HBCdata.num_elements() ; j++)
187  {
188  /// Casting the boundary expansion to the specific case
189  Pbc = boost::dynamic_pointer_cast<StdRegions::StdExpansion>
190  (m_PBndExp[m_HBCdata[j].m_bndryID]->GetExp(m_HBCdata[j].m_bndElmtID));
191 
192  /// Picking up the element where the HOPBc is located
193  elmt = m_pressure->GetExp(m_HBCdata[j].m_globalElmtID);
194 
195  /// Assigning
196  for(int i = 0; i < m_bnd_dim; i++)
197  {
198  Velocity[i] = fields[i] + m_HBCdata[j].m_physOffset;
199  Advection[i] = N[i] + m_HBCdata[j].m_physOffset;
200  }
201 
202  // for the 3DH1D case we need to grab the conjugate mode
203  if(m_pressure->GetExpType() == MultiRegions::e3DH1D)
204  {
205  Velocity[2] = fields[2] + m_HBCdata[j].m_assPhysOffset;
206  }
207 
208  /// Calculating the curl-curl and storing it in Q
209  CurlCurl(Velocity,Q,j);
210 
211  // Mounting advection component into the high-order condition
212  for(int i = 0; i < m_bnd_dim; i++)
213  {
214  MountHOPBCs(m_HBCdata[j].m_ptsInElmt,kinvis,Q[i],Advection[i]);
215  }
216 
217  // put in m_pressureBCs[0]
218  Pvals = m_pressureHBCs[0] + m_HBCdata[j].m_coeffOffset;
219 
220  // Getting values on the edge and filling the pressure boundary expansion
221  // and the acceleration term. Multiplication by the normal is required
222  switch(m_fields[pindex]->GetExpType())
223  {
224  case MultiRegions::e2D:
225  case MultiRegions::e3DH1D:
226  {
227  elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID,Pbc,Q[0],BndValues[0]);
228  elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID,Pbc,Q[1],BndValues[1]);
229  Pbc->NormVectorIProductWRTBase(BndValues[0],BndValues[1],Pvals);
230  }
231  break;
232  case MultiRegions::e3DH2D:
233  {
234  if(m_HBCdata[j].m_elmtTraceID == 0)
235  {
236  Pvals[0] = -1.0*Q[0][0];
237  }
238  else if (m_HBCdata[j].m_elmtTraceID == 1)
239  {
240  Pvals[0] = Q[0][m_HBCdata[j].m_ptsInElmt-1];
241  }
242  else
243  {
244  ASSERTL0(false,
245  "In the 3D homogeneous 2D approach BCs edge "
246  "ID can be just 0 or 1 ");
247  }
248  }
249  break;
250  case MultiRegions::e3D:
251  {
252  elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID,Pbc,Q[0],BndValues[0]);
253  elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID,Pbc,Q[1],BndValues[1]);
254  elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID,Pbc,Q[2],BndValues[2]);
255  Pbc->NormVectorIProductWRTBase(BndValues[0],BndValues[1],BndValues[2],Pvals);
256  }
257  break;
258  default:
259  ASSERTL0(0,"Dimension not supported");
260  break;
261  }
262  }
263  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::Extrapolate::m_pressure
MultiRegions::ExpListSharedPtr m_pressure
Pointer to field holding pressure field.
Definition: Extrapolate.h:215
Nektar::Extrapolate::m_pressureBCsMaxPts
int m_pressureBCsMaxPts
Maximum points used in pressure BC evaluation.
Definition: Extrapolate.h:241
Nektar::Extrapolate::m_PBndExp
Array< OneD, MultiRegions::ExpListSharedPtr > m_PBndExp
pressure boundary conditions expansion container
Definition: Extrapolate.h:235
Nektar::Extrapolate::m_pressureBCsElmtMaxPts
int m_pressureBCsElmtMaxPts
Maximum points used in Element adjacent to pressure BC evaluation.
Definition: Extrapolate.h:244
Nektar::Extrapolate::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Extrapolate.h:212
Nektar::Extrapolate::m_bnd_dim
int m_bnd_dim
bounday dimensionality
Definition: Extrapolate.h:229
Nektar::Extrapolate::MountHOPBCs
void MountHOPBCs(int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)
Definition: Extrapolate.h:376
Nektar::Extrapolate::m_pressureHBCs
Array< OneD, Array< OneD, NekDouble > > m_pressureHBCs
Storage for current and previous levels of high order pressure boundary conditions.
Definition: Extrapolate.h:271
Nektar::Extrapolate::m_HBCdata
Array< OneD, HBCInfo > m_HBCdata
data structure to old all the information regarding High order pressure BCs
Definition: Extrapolate.h:277
Nektar::Extrapolate::CurlCurl
void CurlCurl(Array< OneD, Array< OneD, const NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q, const int j)
Definition: Extrapolate.cpp:792
Nektar::Extrapolate::m_curl_dim
int m_curl_dim
Curl-curl dimensionality.
Definition: Extrapolate.h:226
Nektar::StdRegions::StdExpansionSharedPtr
boost::shared_ptr< StdExpansion > StdExpansionSharedPtr
Definition: StdExpansion.h:1873
void Nektar::Extrapolate::v_CorrectPressureBCs ( const Array< OneD, NekDouble > &  pressure)
protectedvirtual

Reimplemented in Nektar::MappingExtrapolate.

Definition at line 266 of file Extrapolate.cpp.

Referenced by CorrectPressureBCs().

267  {
268  }
virtual void Nektar::Extrapolate::v_EvaluatePressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray,
const Array< OneD, const Array< OneD, NekDouble > > &  N,
NekDouble  kinvis 
)
protectedpure virtual

Implemented in Nektar::StandardExtrapolate, and Nektar::SubSteppingExtrapolate.

Referenced by EvaluatePressureBCs().

LibUtilities::TimeIntegrationMethod Nektar::Extrapolate::v_GetSubStepIntegrationMethod ( void  )
protectedvirtual

Reimplemented in Nektar::SubSteppingExtrapolate.

Definition at line 1498 of file Extrapolate.cpp.

References Nektar::LibUtilities::eNoTimeIntegrationMethod.

Referenced by GetSubStepIntegrationMethod().

1499  {
1500  return LibUtilities::eNoTimeIntegrationMethod;
1501  }
virtual void Nektar::Extrapolate::v_MountHOPBCs ( int  HBCdata,
NekDouble  kinvis,
Array< OneD, NekDouble > &  Q,
Array< OneD, const NekDouble > &  Advection 
)
protectedpure virtual

Implemented in Nektar::SubSteppingExtrapolate, and Nektar::StandardExtrapolate.

Referenced by MountHOPBCs().

virtual void Nektar::Extrapolate::v_SubStepAdvance ( const LibUtilities::TimeIntegrationSolutionSharedPtr &  integrationSoln,
int  nstep,
NekDouble  time 
)
protectedpure virtual

Implemented in Nektar::SubSteppingExtrapolate, and Nektar::StandardExtrapolate.

Referenced by SubStepAdvance().

virtual void Nektar::Extrapolate::v_SubSteppingTimeIntegration ( int  intMethod,
const LibUtilities::TimeIntegrationWrapperSharedPtr &  IntegrationScheme 
)
protectedpure virtual

Implemented in Nektar::StandardExtrapolate, and Nektar::SubSteppingExtrapolate.

Referenced by SubSteppingTimeIntegration().

virtual void Nektar::Extrapolate::v_SubStepSaveFields ( int  nstep)
protectedpure virtual

Implemented in Nektar::SubSteppingExtrapolate, and Nektar::StandardExtrapolate.

Referenced by SubStepSaveFields().

virtual void Nektar::Extrapolate::v_SubStepSetPressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray,
NekDouble  Aii_DT,
NekDouble  kinvis 
)
protectedpure virtual

Implemented in Nektar::SubSteppingExtrapolate, and Nektar::StandardExtrapolate.

Referenced by SubStepSetPressureBCs().

Member Data Documentation

std::string Nektar::Extrapolate::def
staticprivate
Initial value:
=
LibUtilities::SessionReader::RegisterDefaultSolverInfo(
"StandardExtrapolate", "StandardExtrapolate")

Definition at line 317 of file Extrapolate.h.

Array<OneD, Array<OneD, NekDouble> > Nektar::Extrapolate::m_acceleration
protected

Storage for current and previous levels of the acceleration term.

Definition at line 274 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), CalcExplicitDuDt(), GenerateHOPBCMap(), and Nektar::SubSteppingExtrapolate::v_SubStepAdvance().

SolverUtils::AdvectionSharedPtr Nektar::Extrapolate::m_advObject
protected

Definition at line 221 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::SubStepAdvection().

int Nektar::Extrapolate::m_bnd_dim
protected

bounday dimensionality

Definition at line 229 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddAdvectionPenaltyFlux(), CalcOutflowBCs(), GenerateHOPBCMap(), IProductNormVelocityBCOnHBC(), IProductNormVelocityOnHBC(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), and Nektar::MappingExtrapolate::v_CorrectPressureBCs().

LibUtilities::CommSharedPtr Nektar::Extrapolate::m_comm
protected

Definition at line 210 of file Extrapolate.h.

Referenced by Extrapolate(), GenerateHOPBCMap(), Nektar::SubSteppingExtrapolate::GetSubstepTimeStep(), and Nektar::SubSteppingExtrapolate::v_SubStepAdvance().

int Nektar::Extrapolate::m_curl_dim
protected

Curl-curl dimensionality.

Definition at line 226 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), GenerateHOPBCMap(), GetMaxStdVelocity(), and v_CalcNeumannPressureBCs().

Array<OneD, unsigned int> Nektar::Extrapolate::m_expsize_per_plane
protected

(if homogeneous)

expansion sizes of pressure boundary conditions in each plane at the outflow for high order outflow BCs

Definition at line 301 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, MultiRegions::ExpListSharedPtr> Nektar::Extrapolate::m_fields
protected

Definition at line 212 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddAdvectionPenaltyFlux(), CalcOutflowBCs(), CurlCurl(), GenerateHOPBCMap(), GetMaxStdVelocity(), Nektar::SubSteppingExtrapolate::GetSubstepTimeStep(), IProductNormVelocityBCOnHBC(), IProductNormVelocityOnHBC(), Nektar::MappingExtrapolate::MappingExtrapolate(), Nektar::SubSteppingExtrapolate::SubStepAdvection(), Nektar::SubSteppingExtrapolate::SubStepExtrapolateField(), Nektar::SubSteppingExtrapolate::SubSteppingExtrapolate(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), Nektar::MappingExtrapolate::v_CorrectPressureBCs(), Nektar::SubSteppingExtrapolate::v_SubStepAdvance(), Nektar::SubSteppingExtrapolate::v_SubSteppingTimeIntegration(), Nektar::SubSteppingExtrapolate::v_SubStepSaveFields(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

bool Nektar::Extrapolate::m_HalfMode
protected

Flag to determine if half homogeneous mode is used.

Definition at line 254 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

Array<OneD, HBCInfo > Nektar::Extrapolate::m_HBCdata
protected

data structure to old all the information regarding High order pressure BCs

Definition at line 277 of file Extrapolate.h.

Referenced by CurlCurl(), GenerateHOPBCMap(), IProductNormVelocityBCOnHBC(), IProductNormVelocityOnHBC(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), Nektar::MappingExtrapolate::v_CorrectPressureBCs(), and Nektar::StandardExtrapolate::v_EvaluatePressureBCs().

int Nektar::Extrapolate::m_intSteps
protected

Maximum points used in pressure BC evaluation.

Definition at line 247 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), CalcExplicitDuDt(), CalcOutflowBCs(), ExtrapolateArray(), ExtrapolatePressureHBCs(), GenerateHOPBCMap(), Nektar::SubSteppingExtrapolate::SubStepExtrapolateField(), Nektar::SubSteppingExtrapolate::v_SubStepAdvance(), Nektar::StandardExtrapolate::v_SubSteppingTimeIntegration(), and Nektar::SubSteppingExtrapolate::v_SubSteppingTimeIntegration().

NekDouble Nektar::Extrapolate::m_LhomZ
protected

physical length in Z direction (if homogeneous)

Definition at line 258 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

bool Nektar::Extrapolate::m_MultipleModes
protected

Flag to determine if use multiple homogenenous modes are used.

Definition at line 256 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

Array<OneD, NekDouble> Nektar::Extrapolate::m_negWavenumberSq
protected

minus Square of wavenumber

Definition at line 283 of file Extrapolate.h.

Referenced by CurlCurl(), and GenerateHOPBCMap().

Array<OneD, NekDouble> Nektar::Extrapolate::m_nonlinearterm_coeffs
protected

(if homogeneous)

Storage for nonlinear term in wave space at the outflow for high order outflow BCs

Definition at line 297 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, NekDouble> Nektar::Extrapolate::m_nonlinearterm_phys
protected

(if homogeneous)

Storage for nonlinear term in physical space at the outflow for high order outflow BCs

Definition at line 294 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

int Nektar::Extrapolate::m_npointsX
protected

number of points in X direction (if homogeneous)

Definition at line 260 of file Extrapolate.h.

int Nektar::Extrapolate::m_npointsY
protected

number of points in Y direction (if homogeneous)

Definition at line 261 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

int Nektar::Extrapolate::m_npointsZ
protected

number of points in Z direction (if homogeneous)

Definition at line 262 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

Array<OneD, Array<OneD, Array<OneD, NekDouble > > > Nektar::Extrapolate::m_outflowVel
protected

Storage for current and previous velocity fields at the otuflow for high order outflow BCs.

Definition at line 286 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, NekDouble> Nektar::Extrapolate::m_PBndCoeffs
protected

(if homogeneous)

Storage for Fourier Coeffs of Dirichlet pressure condition from the input file

Definition at line 304 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, const SpatialDomains::BoundaryConditionShPtr> Nektar::Extrapolate::m_PBndConds
protected

pressure boundary conditions container

Definition at line 232 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), CopyPressureHBCsToPbndExp(), GenerateHOPBCMap(), and Nektar::MappingExtrapolate::v_CorrectPressureBCs().

Array<OneD, MultiRegions::ExpListSharedPtr> Nektar::Extrapolate::m_PBndExp
protected

pressure boundary conditions expansion container

Definition at line 235 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), CopyPressureHBCsToPbndExp(), GenerateHOPBCMap(), IProductNormVelocityBCOnHBC(), IProductNormVelocityOnHBC(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), and Nektar::MappingExtrapolate::v_CorrectPressureBCs().

Array<OneD, Array<OneD, Array<OneD, NekDouble > > > Nektar::Extrapolate::m_PhyoutfVel
protected

Storage for current and previous velocity fields in physical space at the otuflow for high order outflow BCs.

Definition at line 291 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

MultiRegions::ExpListSharedPtr Nektar::Extrapolate::m_pressure
protected

Pointer to field holding pressure field.

Definition at line 215 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), GenerateHOPBCMap(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), and Nektar::MappingExtrapolate::v_CorrectPressureBCs().

int Nektar::Extrapolate::m_pressureBCsElmtMaxPts
protected

Maximum points used in Element adjacent to pressure BC evaluation.

Definition at line 244 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), CurlCurl(), GenerateHOPBCMap(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), and v_CalcNeumannPressureBCs().

int Nektar::Extrapolate::m_pressureBCsMaxPts
protected

Maximum points used in pressure BC evaluation.

Definition at line 241 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), GenerateHOPBCMap(), IProductNormVelocityBCOnHBC(), IProductNormVelocityOnHBC(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), and Nektar::MappingExtrapolate::v_CorrectPressureBCs().

Array<OneD, int> Nektar::Extrapolate::m_pressureBCtoElmtID
protected

Id of element to which pressure boundary condition belongs.

Definition at line 265 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), and GenerateHOPBCMap().

Array<OneD, int> Nektar::Extrapolate::m_pressureBCtoTraceID
protected

Id of edge (2D) or face (3D) to which pressure boundary condition belongs.

Definition at line 268 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), and GenerateHOPBCMap().

int Nektar::Extrapolate::m_pressureCalls
protected

number of times the high-order pressure BCs have been called

Definition at line 238 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), CalcExplicitDuDt(), CalcOutflowBCs(), ExtrapolateArray(), ExtrapolatePressureHBCs(), GenerateHOPBCMap(), Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

Array<OneD, Array<OneD, NekDouble> > Nektar::Extrapolate::m_pressureHBCs
protected

Storage for current and previous levels of high order pressure boundary conditions.

Definition at line 271 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), CalcExplicitDuDt(), CopyPressureHBCsToPbndExp(), ExtrapolatePressureHBCs(), GenerateHOPBCMap(), Nektar::MappingExtrapolate::v_CalcNeumannPressureBCs(), v_CalcNeumannPressureBCs(), Nektar::StandardExtrapolate::v_EvaluatePressureBCs(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

Array<OneD, Array<OneD, NekDouble> > Nektar::Extrapolate::m_previousVelFields
protected

Definition at line 223 of file Extrapolate.h.

LibUtilities::SessionReaderSharedPtr Nektar::Extrapolate::m_session
protected

Definition at line 208 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), Extrapolate(), GenerateHOPBCMap(), Nektar::MappingExtrapolate::MappingExtrapolate(), Nektar::SubSteppingExtrapolate::SubSteppingExtrapolate(), and Nektar::SubSteppingExtrapolate::v_SubSteppingTimeIntegration().

bool Nektar::Extrapolate::m_SingleMode
protected

Flag to determine if single homogeneous mode is used.

Definition at line 252 of file Extrapolate.h.

Referenced by GenerateHOPBCMap().

NekDouble Nektar::Extrapolate::m_timestep
protected

Definition at line 249 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), CalcExplicitDuDt(), Extrapolate(), Nektar::SubSteppingExtrapolate::SubStepAdvection(), Nektar::SubSteppingExtrapolate::SubStepExtrapolateField(), and Nektar::SubSteppingExtrapolate::v_SubStepAdvance().

int Nektar::Extrapolate::m_totexps_per_plane
protected

(if homogeneous)

Definition at line 309 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, Array<OneD, NekDouble> > Nektar::Extrapolate::m_traceNormals
protected

Definition at line 288 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddAdvectionPenaltyFlux(), and Nektar::SubSteppingExtrapolate::SubSteppingExtrapolate().

Array<OneD, Array<OneD, NekDouble> > Nektar::Extrapolate::m_UBndCoeffs
protected

(if homogeneous)

Storage for Fourier Coeffs of Neumann velocity condition from the input file

Definition at line 307 of file Extrapolate.h.

Referenced by CalcOutflowBCs().

Array<OneD, int> Nektar::Extrapolate::m_velocity
protected

int which identifies which components of m_fields contains the velocity (u,v,w);

Definition at line 219 of file Extrapolate.h.

Referenced by CalcOutflowBCs(), Nektar::SubSteppingExtrapolate::GetSubstepTimeStep(), IProductNormVelocityBCOnHBC(), Nektar::SubSteppingExtrapolate::SubStepAdvection(), Nektar::SubSteppingExtrapolate::SubStepExtrapolateField(), Nektar::SubSteppingExtrapolate::v_SubSteppingTimeIntegration(), Nektar::SubSteppingExtrapolate::v_SubStepSaveFields(), and Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs().

Array<OneD, NekDouble> Nektar::Extrapolate::m_wavenumber
protected

wave number 2 pi k /Lz

Definition at line 280 of file Extrapolate.h.

Referenced by CurlCurl(), and GenerateHOPBCMap().

NekDouble Nektar::Extrapolate::StifflyStable_Alpha_Coeffs
staticprotected
Initial value:
= {
{ 1.0, 0.0, 0.0},{ 2.0, -0.5, 0.0},{ 3.0, -1.5, 1.0/3.0}}

Definition at line 313 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), and CalcExplicitDuDt().

NekDouble Nektar::Extrapolate::StifflyStable_Betaq_Coeffs
staticprotected
Initial value:
= {
{ 1.0, 0.0, 0.0},{ 2.0, -1.0, 0.0},{ 3.0, -3.0, 1.0}}

total number of expansion for each plane (if homogeneous)

Definition at line 312 of file Extrapolate.h.

Referenced by ExtrapolateArray(), and ExtrapolatePressureHBCs().

NekDouble Nektar::Extrapolate::StifflyStable_Gamma0_Coeffs
staticprotected
Initial value:
= {
1.0, 1.5, 11.0/6.0}

Definition at line 314 of file Extrapolate.h.

Referenced by Nektar::SubSteppingExtrapolate::AddDuDt(), and CalcExplicitDuDt().

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