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Nektar::Collections::PhysDeriv_SumFac_Tri Class Reference

Phys deriv operator using sum-factorisation (Tri) More...

Inheritance diagram for Nektar::Collections::PhysDeriv_SumFac_Tri:
[legend]

Public Member Functions

virtual ~PhysDeriv_SumFac_Tri ()
 
virtual void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp)
 Perform operation. More...
 
virtual void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp)
 
- Public Member Functions inherited from Nektar::Collections::Operator
 Operator (std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData)
 Constructor. More...
 
virtual COLLECTIONS_EXPORT ~Operator ()
 
int GetWspSize ()
 Get the size of the required workspace. More...
 

Protected Attributes

int m_coordim
 
const int m_nquad0
 
const int m_nquad1
 
Array< TwoD, const NekDoublem_derivFac
 
NekDoublem_Deriv0
 
NekDoublem_Deriv1
 
Array< OneD, NekDoublem_fac0
 
Array< OneD, NekDoublem_fac1
 
- Protected Attributes inherited from Nektar::Collections::Operator
StdRegions::StdExpansionSharedPtr m_stdExp
 
unsigned int m_numElmt
 
unsigned int m_wspSize
 

Private Member Functions

 PhysDeriv_SumFac_Tri (vector< StdRegions::StdExpansionSharedPtr > pCollExp, CoalescedGeomDataSharedPtr pGeomData)
 

Detailed Description

Phys deriv operator using sum-factorisation (Tri)

Definition at line 740 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Tri()

virtual Nektar::Collections::PhysDeriv_SumFac_Tri::~PhysDeriv_SumFac_Tri ( )
inlinevirtual

Definition at line 745 of file PhysDeriv.cpp.

746  {
747  }

◆ PhysDeriv_SumFac_Tri()

Nektar::Collections::PhysDeriv_SumFac_Tri::PhysDeriv_SumFac_Tri ( vector< StdRegions::StdExpansionSharedPtr pCollExp,
CoalescedGeomDataSharedPtr  pGeomData 
)
inlineprivate

Definition at line 864 of file PhysDeriv.cpp.

References Nektar::Collections::ePhysDeriv, Nektar::Collections::eSumFac, Nektar::LibUtilities::eTriangle, Nektar::Collections::GetOperatorFactory(), and Nektar::LibUtilities::NekFactory< tKey, tBase, tParam >::RegisterCreatorFunction().

867  : Operator (pCollExp, pGeomData),
868  m_nquad0 (m_stdExp->GetNumPoints(0)),
869  m_nquad1 (m_stdExp->GetNumPoints(1))
870  {
871  LibUtilities::PointsKeyVector PtsKey = m_stdExp->GetPointsKeys();
872  m_coordim = pCollExp[0]->GetCoordim();
873 
874  m_derivFac = pGeomData->GetDerivFactors(pCollExp);
875 
876  const Array<OneD, const NekDouble>& z0
877  = m_stdExp->GetBasis(0)->GetZ();
878  const Array<OneD, const NekDouble>& z1
879  = m_stdExp->GetBasis(1)->GetZ();
880  m_fac0 = Array<OneD, NekDouble>(m_nquad0*m_nquad1);
881  // set up geometric factor: 0.5*(1+z0)
882  for (int i = 0; i < m_nquad0; ++i)
883  {
884  for(int j = 0; j < m_nquad1; ++j)
885  {
886  m_fac0[i+j*m_nquad0] = 0.5*(1+z0[i]);
887  }
888  }
889 
890  m_fac1 = Array<OneD, NekDouble>(m_nquad0*m_nquad1);
891  // set up geometric factor: 2/(1-z1)
892  for (int i = 0; i < m_nquad0; ++i)
893  {
894  for(int j = 0; j < m_nquad1; ++j)
895  {
896  m_fac1[i+j*m_nquad0] = 2.0/(1-z1[j]);
897  }
898  }
899 
900 
901  m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
902  m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
903  m_wspSize = 2 * m_nquad0*m_nquad1*m_numElmt;
904  }
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:246
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:857
Operator(std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData)
Constructor.
Definition: Operator.h:113
StdRegions::StdExpansionSharedPtr m_stdExp
Definition: Operator.h:148

Member Function Documentation

◆ operator()() [1/2]

virtual void Nektar::Collections::PhysDeriv_SumFac_Tri::operator() ( const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output0,
Array< OneD, NekDouble > &  output1,
Array< OneD, NekDouble > &  output2,
Array< OneD, NekDouble > &  wsp 
)
inlinevirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 749 of file PhysDeriv.cpp.

References ASSERTL1, Blas::Dgemm(), Vmath::Vmul(), and Vmath::Vvtvp().

755  {
756  const int nqtot = m_nquad0 * m_nquad1;
757  const int nqcol = nqtot*m_numElmt;
758 
759  ASSERTL1(wsp.num_elements() == m_wspSize,
760  "Incorrect workspace size");
761  ASSERTL1(input.num_elements() >= nqcol,
762  "Incorrect input size");
763 
764  Array<OneD, NekDouble> diff0(nqcol, wsp );
765  Array<OneD, NekDouble> diff1(nqcol, wsp + nqcol);
766 
767  // Tensor Product Derivative
768  Blas::Dgemm('N', 'N', m_nquad0, m_nquad1*m_numElmt,
769  m_nquad0, 1.0, m_Deriv0, m_nquad0,
770  input.get(), m_nquad0, 0.0,
771  diff0.get(), m_nquad0);
772 
773  int cnt = 0;
774  for (int i = 0; i < m_numElmt; ++i, cnt += nqtot)
775  {
776  // scale diff0 by geometric factor: 2/(1-z1)
777  Vmath::Vmul(nqtot,&m_fac1[0],1,diff0.get()+cnt,1,
778  diff0.get()+cnt,1);
779 
780  Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
781  input.get() + cnt, m_nquad0,
782  m_Deriv1, m_nquad1, 0.0,
783  diff1.get() + cnt, m_nquad0);
784 
785  // add to diff1 by diff0 scaled by: (1_z0)/(1-z1)
786  Vmath::Vvtvp(nqtot,m_fac0.get(),1,diff0.get()+cnt,1,
787  diff1.get()+cnt,1,diff1.get()+cnt,1);
788  }
789 
790 
791  Vmath::Vmul (nqcol, m_derivFac[0], 1, diff0, 1, output0, 1);
792  Vmath::Vvtvp (nqcol, m_derivFac[1], 1, diff1, 1,
793  output0, 1, output0, 1);
794  Vmath::Vmul (nqcol, m_derivFac[2], 1, diff0, 1, output1, 1);
795  Vmath::Vvtvp (nqcol, m_derivFac[3], 1, diff1, 1,
796  output1, 1, output1, 1);
797 
798  if (m_coordim == 3)
799  {
800  Vmath::Vmul (nqcol, m_derivFac[4], 1, diff0, 1,
801  output2, 1);
802  Vmath::Vvtvp (nqcol, m_derivFac[5], 1, diff1, 1,
803  output2, 1, output2, 1);
804  }
805  }
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:445
static void Dgemm(const char &transa, const char &transb, const int &m, const int &n, const int &k, const double &alpha, const double *a, const int &lda, const double *b, const int &ldb, const double &beta, double *c, const int &ldc)
BLAS level 3: Matrix-matrix multiply C = A x B where A[m x n], B[n x k], C[m x k].
Definition: Blas.hpp:213
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:857
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:250
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:186

◆ operator()() [2/2]

virtual void Nektar::Collections::PhysDeriv_SumFac_Tri::operator() ( int  dir,
const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output,
Array< OneD, NekDouble > &  wsp 
)
inlinevirtual

Implements Nektar::Collections::Operator.

Definition at line 807 of file PhysDeriv.cpp.

References ASSERTL1, Blas::Dgemm(), Vmath::Vmul(), and Vmath::Vvtvp().

812  {
813  const int nqtot = m_nquad0 * m_nquad1;
814  const int nqcol = nqtot*m_numElmt;
815 
816  ASSERTL1(wsp.num_elements() == m_wspSize,
817  "Incorrect workspace size");
818  ASSERTL1(input.num_elements() >= nqcol,
819  "Incorrect input size");
820 
821  Array<OneD, NekDouble> diff0(nqcol, wsp );
822  Array<OneD, NekDouble> diff1(nqcol, wsp + nqcol);
823 
824  // Tensor Product Derivative
825  Blas::Dgemm('N', 'N', m_nquad0, m_nquad1*m_numElmt,
826  m_nquad0, 1.0, m_Deriv0, m_nquad0,
827  input.get(), m_nquad0, 0.0,
828  diff0.get(), m_nquad0);
829 
830  int cnt = 0;
831  for (int i = 0; i < m_numElmt; ++i, cnt += nqtot)
832  {
833  // scale diff0 by geometric factor: 2/(1-z1)
834  Vmath::Vmul(nqtot,&m_fac1[0],1,diff0.get()+cnt,1,
835  diff0.get()+cnt,1);
836 
837  Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
838  input.get() + cnt, m_nquad0,
839  m_Deriv1, m_nquad1, 0.0,
840  diff1.get() + cnt, m_nquad0);
841 
842  // add to diff1 by diff0 scaled by: (1_z0)/(1-z1)
843  Vmath::Vvtvp(nqtot,m_fac0.get(),1,diff0.get()+cnt,1,
844  diff1.get()+cnt,1,diff1.get()+cnt,1);
845  }
846 
847 
848  Vmath::Vmul (nqcol, m_derivFac[2*dir] , 1, diff0, 1, output, 1);
849  Vmath::Vvtvp (nqcol, m_derivFac[2*dir+1], 1, diff1, 1, output, 1,
850  output, 1);
851  }
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:445
static void Dgemm(const char &transa, const char &transb, const int &m, const int &n, const int &k, const double &alpha, const double *a, const int &lda, const double *b, const int &ldb, const double &beta, double *c, const int &ldc)
BLAS level 3: Matrix-matrix multiply C = A x B where A[m x n], B[n x k], C[m x k].
Definition: Blas.hpp:213
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:857
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:250
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:186

Member Data Documentation

◆ m_coordim

int Nektar::Collections::PhysDeriv_SumFac_Tri::m_coordim
protected

Definition at line 854 of file PhysDeriv.cpp.

◆ m_Deriv0

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tri::m_Deriv0
protected

Definition at line 858 of file PhysDeriv.cpp.

◆ m_Deriv1

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tri::m_Deriv1
protected

Definition at line 859 of file PhysDeriv.cpp.

◆ m_derivFac

Array<TwoD, const NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_derivFac
protected

Definition at line 857 of file PhysDeriv.cpp.

◆ m_fac0

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_fac0
protected

Definition at line 860 of file PhysDeriv.cpp.

◆ m_fac1

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tri::m_fac1
protected

Definition at line 861 of file PhysDeriv.cpp.

◆ m_nquad0

const int Nektar::Collections::PhysDeriv_SumFac_Tri::m_nquad0
protected

Definition at line 855 of file PhysDeriv.cpp.

◆ m_nquad1

const int Nektar::Collections::PhysDeriv_SumFac_Tri::m_nquad1
protected

Definition at line 856 of file PhysDeriv.cpp.