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Nektar::StdRegions::StdExpansion3D Class Referenceabstract

#include <StdExpansion3D.h>

Inheritance diagram for Nektar::StdRegions::StdExpansion3D:
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Public Member Functions

 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdExpansion3D ()=default
 
 StdExpansion3D (const StdExpansion3D &T)=default
 
 ~StdExpansion3D () override=default
 
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
 Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More...
 
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
int GetNedges () const
 return the number of edges in 3D expansion More...
 
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge. More...
 
void GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor. More...
 
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor. More...
 
 StdExpansion (const StdExpansion &T)
 Copy Constructor. More...
 
virtual ~StdExpansion ()
 Destructor. More...
 
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion. More...
 
const Array< OneD, const LibUtilities::BasisSharedPtr > & GetBase () const
 This function gets the shared point to basis. More...
 
const LibUtilities::BasisSharedPtr & GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction. More...
 
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion. More...
 
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element. More...
 
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction. More...
 
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction. More...
 
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions. More...
 
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction. More...
 
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction. More...
 
const Array< OneD, const NekDouble > & GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction. More...
 
int GetNverts () const
 This function returns the number of vertices of the expansion domain. More...
 
int GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th trace. More...
 
int GetTraceIntNcoeffs (const int i) const
 
int GetTraceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th trace. More...
 
const LibUtilities::BasisKey GetTraceBasisKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
LibUtilities::PointsKey GetTracePointsKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNtraces () const
 Returns the number of trace elements connected to this element. More...
 
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain. More...
 
std::shared_ptr< StdExpansion > GetStdExp () const
 
std::shared_ptr< StdExpansion > GetLinStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion () const
 
bool IsNodalNonTensorialExp ()
 
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space. More...
 
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space. More...
 
void FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 This function integrates the specified function over the domain. More...
 
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion. More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
 
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
int GetCoordim ()
 
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
void GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
 
void GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)
 
void GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)
 
NekDouble PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
 This function evaluates the basis function mode mode at a point coords of the domain. More...
 
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
 
void LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
 Convert local collapsed coordinates eta into local cartesian coordinate xi. More...
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
NekDouble Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete \( L_\infty\) error \( |\epsilon|_\infty = \max |u - u_{exact}|\) where \( u_{exact}\) is given by the array sol. More...
 
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete \( L_2\) error, \( | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
 
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete \( H^1\) error, \( | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
 
const LibUtilities::PointsKeyVector GetPointsKeys () const
 
DNekMatSharedPtr BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
 
void GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
std::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
void GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 

Protected Member Functions

NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) override
 
NekDouble v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override
 
virtual void v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0
 
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0
 
void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray) override
 Integrates the specified function over the domain. More...
 
virtual int v_GetNedges (void) const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
NekDouble BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 
virtual void v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)
 
void v_GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient, int P, int Q) override
 
void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) override
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
virtual void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
 This function performs the barycentric interpolation of the polynomial stored in coord at a point physvals using barycentric interpolation weights in direction. More...
 
template<int DIR>
NekDouble BaryEvaluateBasis (const NekDouble &coord, const int &mode)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
 Helper function to pass an unused value by reference into BaryEvaluate. More...
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)
 

Private Member Functions

int v_GetShapeDimension () const final
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtr > m_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess > m_stdMatrixManager
 
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess > m_stdStaticCondMatrixManager
 

Detailed Description

Definition at line 47 of file StdExpansion3D.h.

Constructor & Destructor Documentation

◆ StdExpansion3D() [1/3]

Nektar::StdRegions::StdExpansion3D::StdExpansion3D ( int  numcoeffs,
const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc 
)

Definition at line 46 of file StdExpansion3D.cpp.

51{
52}

◆ StdExpansion3D() [2/3]

Nektar::StdRegions::StdExpansion3D::StdExpansion3D ( )
default

◆ StdExpansion3D() [3/3]

Nektar::StdRegions::StdExpansion3D::StdExpansion3D ( const StdExpansion3D &  T)
default

◆ ~StdExpansion3D()

Nektar::StdRegions::StdExpansion3D::~StdExpansion3D ( )
overridedefault

Member Function Documentation

◆ BaryTensorDeriv()

NekDouble Nektar::StdRegions::StdExpansion3D::BaryTensorDeriv ( const Array< OneD, NekDouble > &  coord,
const Array< OneD, const NekDouble > &  inarray,
std::array< NekDouble, 3 > &  firstOrderDerivs 
)
inlineprotected

Performs tensor product evaluation in 3D to evaluate the physical and derivative values in each direction at input coordinate

Parameters
coordusing input physical values at quadrature points
inarray.Returns via reference the derivatives.
coordGlobal coordinate
inarrayPhys values
out_d0Return by reference parameter for 0th derivative
out_d1Return by reference parameter for 1st derivative
out_d2Return by reference parameter for 2nd derivative
Returns
Physical value at
Parameters
coord

Definition at line 228 of file StdExpansion3D.h.

232 {
233 const int nq0 = m_base[0]->GetNumPoints();
234 const int nq1 = m_base[1]->GetNumPoints();
235 const int nq2 = m_base[2]->GetNumPoints();
236
237 const NekDouble *ptr = &inarray[0];
238 Array<OneD, NekDouble> deriv0(nq1 * nq2, 0.0);
239 Array<OneD, NekDouble> phys0(nq1 * nq2, 0.0);
240 Array<OneD, NekDouble> deriv0phys1(nq1, 0.0);
241 Array<OneD, NekDouble> phys0deriv1(nq1, 0.0);
242 Array<OneD, NekDouble> phys0phys1(nq1, 0.0);
243
244 for (int j = 0; j < nq1 * nq2; ++j, ptr += nq0)
245 {
246 phys0[j] =
247 StdExpansion::BaryEvaluate<0, true>(coord[0], ptr, deriv0[j]);
248 }
249
250 for (int j = 0; j < nq2; ++j)
251 {
252 deriv0phys1[j] = StdExpansion::BaryEvaluate<1, false>(
253 coord[1], &deriv0[j * nq1]);
254 }
255 firstOrderDerivs[0] =
256 StdExpansion::BaryEvaluate<2, false>(coord[2], &deriv0phys1[0]);
257
258 for (int j = 0; j < nq2; ++j)
259 {
260 phys0phys1[j] = StdExpansion::BaryEvaluate<1, true>(
261 coord[1], &phys0[j * nq1], phys0deriv1[j]);
262 }
263 firstOrderDerivs[1] =
264 StdExpansion::BaryEvaluate<2, false>(coord[2], &phys0deriv1[0]);
265
266 return StdExpansion::BaryEvaluate<2, true>(coord[2], &phys0phys1[0],
267 firstOrderDerivs[2]);
268 }
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1173
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:43

References Nektar::StdRegions::StdExpansion::m_base.

Referenced by Nektar::StdRegions::StdHexExp::v_PhysEvaluate(), Nektar::StdRegions::StdPrismExp::v_PhysEvaluate(), Nektar::StdRegions::StdPyrExp::v_PhysEvaluate(), and Nektar::StdRegions::StdTetExp::v_PhysEvaluate().

◆ BwdTrans_SumFacKernel()

void Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  base2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1,
bool  doCheckCollDir2 
)

Definition at line 96 of file StdExpansion3D.cpp.

103{
104 v_BwdTrans_SumFacKernel(base0, base1, base2, inarray, outarray, wsp,
105 doCheckCollDir0, doCheckCollDir1, doCheckCollDir2);
106}
Nektar::StdRegions::StdExpansion3D::v_BwdTrans_SumFacKernel
virtual void v_BwdTrans_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0

References v_BwdTrans_SumFacKernel().

Referenced by Nektar::StdRegions::StdHexExp::v_BwdTrans_SumFac(), Nektar::StdRegions::StdPrismExp::v_BwdTrans_SumFac(), Nektar::StdRegions::StdTetExp::v_BwdTrans_SumFac(), v_HelmholtzMatrixOp_MatFree(), and v_LaplacianMatrixOp_MatFree().

◆ GetEdgeInteriorToElementMap()

void Nektar::StdRegions::StdExpansion3D::GetEdgeInteriorToElementMap ( const int  tid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
Orientation  traceOrient = eForwards 
)
inline

Definition at line 141 of file StdExpansion3D.h.

145 {
146 v_GetEdgeInteriorToElementMap(tid, maparray, signarray, traceOrient);
147 }
Nektar::StdRegions::StdExpansion3D::v_GetEdgeInteriorToElementMap
virtual void v_GetEdgeInteriorToElementMap(const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)
Definition: StdExpansion3D.cpp:408

References v_GetEdgeInteriorToElementMap().

Referenced by Nektar::LocalRegions::Expansion3D::GetEdgeInverseBoundaryMap(), and Nektar::LocalRegions::Expansion3D::GetInverseBoundaryMaps().

◆ GetEdgeNcoeffs()

int Nektar::StdRegions::StdExpansion3D::GetEdgeNcoeffs ( const int  i) const
inline

This function returns the number of expansion coefficients belonging to the i-th edge.

This function is a wrapper around the virtual function v_GetEdgeNcoeffs()

Parameters
ispecifies which edge
Returns
returns the number of expansion coefficients belonging to the i-th edge

Definition at line 136 of file StdExpansion3D.h.

137 {
138 return v_GetEdgeNcoeffs(i);
139 }
Nektar::StdRegions::StdExpansion3D::v_GetEdgeNcoeffs
virtual int v_GetEdgeNcoeffs(const int i) const
Definition: StdExpansion3D.cpp:402

References v_GetEdgeNcoeffs().

Referenced by Nektar::LocalRegions::Expansion3D::GetEdgeInverseBoundaryMap(), Nektar::LocalRegions::Expansion3D::GetInverseBoundaryMaps(), Nektar::LocalRegions::Expansion3D::v_BuildInverseTransformationMatrix(), Nektar::MultiRegions::PreconditionerLowEnergy::v_BuildPreconditioner(), Nektar::LocalRegions::Expansion3D::v_BuildTransformationMatrix(), and Nektar::StdRegions::StdHexExp::v_GetEdgeInteriorToElementMap().

◆ GetNedges()

int Nektar::StdRegions::StdExpansion3D::GetNedges ( ) const
inline

return the number of edges in 3D expansion

Definition at line 121 of file StdExpansion3D.h.

122 {
123 return v_GetNedges();
124 }
Nektar::StdRegions::StdExpansion3D::v_GetNedges
virtual int v_GetNedges(void) const
Definition: StdExpansion3D.cpp:396

References v_GetNedges().

Referenced by Nektar::LocalRegions::Expansion3D::GetInverseBoundaryMaps(), Nektar::LocalRegions::Expansion3D::v_BuildInverseTransformationMatrix(), Nektar::MultiRegions::PreconditionerLowEnergy::v_BuildPreconditioner(), and Nektar::LocalRegions::Expansion3D::v_BuildTransformationMatrix().

◆ IProductWRTBase_SumFacKernel()

void Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  base2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1,
bool  doCheckCollDir2 
)

Definition at line 108 of file StdExpansion3D.cpp.

115{
116 v_IProductWRTBase_SumFacKernel(base0, base1, base2, inarray, outarray, wsp,
117 doCheckCollDir0, doCheckCollDir1,
118 doCheckCollDir2);
119}
Nektar::StdRegions::StdExpansion3D::v_IProductWRTBase_SumFacKernel
virtual void v_IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0

References v_IProductWRTBase_SumFacKernel().

Referenced by v_GenStdMatBwdDeriv(), v_HelmholtzMatrixOp_MatFree(), Nektar::StdRegions::StdHexExp::v_IProductWRTBase_SumFac(), Nektar::LocalRegions::HexExp::v_IProductWRTBase_SumFac(), Nektar::LocalRegions::PrismExp::v_IProductWRTBase_SumFac(), Nektar::LocalRegions::PyrExp::v_IProductWRTBase_SumFac(), Nektar::LocalRegions::TetExp::v_IProductWRTBase_SumFac(), Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_SumFac(), Nektar::StdRegions::StdTetExp::v_IProductWRTBase_SumFac(), Nektar::LocalRegions::TetExp::v_IProductWRTDerivBase(), Nektar::LocalRegions::HexExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::PrismExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::PyrExp::v_IProductWRTDerivBase_SumFac(), Nektar::StdRegions::StdHexExp::v_IProductWRTDerivBase_SumFac(), Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_SumFac(), Nektar::StdRegions::StdPyrExp::v_IProductWRTDerivBase_SumFac(), Nektar::StdRegions::StdTetExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::HexExp::v_IProductWRTDirectionalDerivBase_SumFac(), Nektar::LocalRegions::HexExp::v_LaplacianMatrixOp_MatFree_Kernel(), and Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp_MatFree_Kernel().

◆ PhysTensorDeriv()

void Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray_d1,
Array< OneD, NekDouble > &  outarray_d2,
Array< OneD, NekDouble > &  outarray_d3 
)

Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points.

This function is independent of the expansion basis and can therefore be defined for all tensor product distribution of quadrature points in a generic manner. The key operations are:

  • \( \frac{d}{d\eta_1} \rightarrow {\bf D^T_0 u } \)
  • \( \frac{d}{d\eta_2} \rightarrow {\bf D_1 u } \)
  • \( \frac{d}{d\eta_3} \rightarrow {\bf D_2 u } \)
Parameters
inarrayarray of physical points to be differentiated
outarray_d1the resulting array of derivative in the \(\eta_1\) direction will be stored in outarray_d1 as output of the function
outarray_d2the resulting array of derivative in the \(\eta_2\) direction will be stored in outarray_d2 as output of the function
outarray_d3the resulting array of derivative in the \(\eta_3\) direction will be stored in outarray_d3 as output of the function

Recall that: \( \hspace{1cm} \begin{array}{llll} \mbox{Shape} & \mbox{Cartesian coordinate range} & \mbox{Collapsed coord.} & \mbox{Collapsed coordinate definition}\\ \mbox{Hexahedral} & -1 \leq \xi_1,\xi_2, \xi_3 \leq 1 & -1 \leq \eta_1,\eta_2, \eta_3 \leq 1 & \eta_1 = \xi_1, \eta_2 = \xi_2, \eta_3 = \xi_3 \\ \mbox{Tetrahedral} & -1 \leq \xi_1,\xi_2,\xi_3; \xi_1+\xi_2 +\xi_3 \leq -1 & -1 \leq \eta_1,\eta_2, \eta_3 \leq 1 & \eta_1 = \frac{2(1+\xi_1)}{-\xi_2 -\xi_3}-1, \eta_2 = \frac{2(1+\xi_2)}{1 - \xi_3}-1, \eta_3 = \xi_3 \\ \end{array} \)

Definition at line 54 of file StdExpansion3D.cpp.

57{
58 const int nquad0 = m_base[0]->GetNumPoints();
59 const int nquad1 = m_base[1]->GetNumPoints();
60 const int nquad2 = m_base[2]->GetNumPoints();
61
62 Array<OneD, NekDouble> wsp(nquad0 * nquad1 * nquad2);
63
64 // copy inarray to wsp in case inarray is used as outarray
65 Vmath::Vcopy(nquad0 * nquad1 * nquad2, &inarray[0], 1, &wsp[0], 1);
66
67 if (out_dx.size() > 0)
68 {
69 NekDouble *D0 = &((m_base[0]->GetD())->GetPtr())[0];
70
71 Blas::Dgemm('N', 'N', nquad0, nquad1 * nquad2, nquad0, 1.0, D0, nquad0,
72 &wsp[0], nquad0, 0.0, &out_dx[0], nquad0);
73 }
74
75 if (out_dy.size() > 0)
76 {
77 NekDouble *D1 = &((m_base[1]->GetD())->GetPtr())[0];
78 for (int j = 0; j < nquad2; ++j)
79 {
80 Blas::Dgemm('N', 'T', nquad0, nquad1, nquad1, 1.0,
81 &wsp[j * nquad0 * nquad1], nquad0, D1, nquad1, 0.0,
82 &out_dy[j * nquad0 * nquad1], nquad0);
83 }
84 }
85
86 if (out_dz.size() > 0)
87 {
88 NekDouble *D2 = &((m_base[2]->GetD())->GetPtr())[0];
89
90 Blas::Dgemm('N', 'T', nquad0 * nquad1, nquad2, nquad2, 1.0, &wsp[0],
91 nquad0 * nquad1, D2, nquad2, 0.0, &out_dz[0],
92 nquad0 * nquad1);
93 }
94}
Blas::Dgemm
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 op(A)[m x k], op(B)[k x n], C[m x n] DGEMM perfo...
Definition: Blas.hpp:383
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825

References Blas::Dgemm(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().

Referenced by Nektar::StdRegions::StdHexExp::v_PhysDeriv(), Nektar::StdRegions::StdPrismExp::v_PhysDeriv(), Nektar::StdRegions::StdPyrExp::v_PhysDeriv(), and Nektar::StdRegions::StdTetExp::v_PhysDeriv().

◆ v_BwdTrans_SumFacKernel()

virtual void Nektar::StdRegions::StdExpansion3D::v_BwdTrans_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  base2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1,
bool  doCheckCollDir2 
)
protectedpure virtual

Implemented in Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Referenced by BwdTrans_SumFacKernel().

◆ v_GenStdMatBwdDeriv()

void Nektar::StdRegions::StdExpansion3D::v_GenStdMatBwdDeriv ( const int  dir,
DNekMatSharedPtr &  mat 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 121 of file StdExpansion3D.cpp.

122{
123 ASSERTL1((dir == 0) || (dir == 1) || (dir == 2), "Invalid direction.");
124
125 const int nq0 = m_base[0]->GetNumPoints();
126 const int nq1 = m_base[1]->GetNumPoints();
127 const int nq2 = m_base[2]->GetNumPoints();
128 const int nq = nq0 * nq1 * nq2;
129 const int nm0 = m_base[0]->GetNumModes();
130 const int nm1 = m_base[1]->GetNumModes();
131
132 Array<OneD, NekDouble> alloc(4 * nq + m_ncoeffs + nm0 * nq2 * (nq1 + nm1),
133 0.0);
134 Array<OneD, NekDouble> tmp1(alloc); // Quad metric
135 Array<OneD, NekDouble> tmp2(alloc + nq); // Dir1 metric
136 Array<OneD, NekDouble> tmp3(alloc + 2 * nq); // Dir2 metric
137 Array<OneD, NekDouble> tmp4(alloc + 3 * nq); // Dir3 metric
138 Array<OneD, NekDouble> tmp5(alloc + 4 * nq); // iprod tmp
139 Array<OneD, NekDouble> wsp(tmp5 + m_ncoeffs); // Wsp
140 switch (dir)
141 {
142 case 0:
143 for (int i = 0; i < nq; i++)
144 {
145 tmp2[i] = 1.0;
146 IProductWRTBase_SumFacKernel(
147 m_base[0]->GetDbdata(), m_base[1]->GetBdata(),
148 m_base[2]->GetBdata(), tmp2, tmp5, wsp, false, true, true);
149
150 tmp2[i] = 0.0;
151
152 for (int j = 0; j < m_ncoeffs; j++)
153 {
154 (*mat)(j, i) = tmp5[j];
155 }
156 }
157 break;
158 case 1:
159 for (int i = 0; i < nq; i++)
160 {
161 tmp2[i] = 1.0;
162 IProductWRTBase_SumFacKernel(
163 m_base[0]->GetBdata(), m_base[1]->GetDbdata(),
164 m_base[2]->GetBdata(), tmp2, tmp5, wsp, true, false, true);
165
166 tmp2[i] = 0.0;
167
168 for (int j = 0; j < m_ncoeffs; j++)
169 {
170 (*mat)(j, i) = tmp5[j];
171 }
172 }
173 break;
174 case 2:
175 for (int i = 0; i < nq; i++)
176 {
177 tmp2[i] = 1.0;
178 IProductWRTBase_SumFacKernel(
179 m_base[0]->GetBdata(), m_base[1]->GetBdata(),
180 m_base[2]->GetDbdata(), tmp2, tmp5, wsp, true, true, false);
181 tmp2[i] = 0.0;
182
183 for (int j = 0; j < m_ncoeffs; j++)
184 {
185 (*mat)(j, i) = tmp5[j];
186 }
187 }
188 break;
189 default:
190 NEKERROR(ErrorUtil::efatal, "Not a 2D expansion.");
191 break;
192 }
193}
NEKERROR
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mode...
Definition: ErrorUtil.hpp:202
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
Definition: StdExpansion3D.cpp:108

References ASSERTL1, Nektar::ErrorUtil::efatal, IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and NEKERROR.

◆ v_GetEdgeInteriorToElementMap()

void Nektar::StdRegions::StdExpansion3D::v_GetEdgeInteriorToElementMap ( const int  tid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
Orientation  traceOrient = eForwards 
)
protectedvirtual

Reimplemented in Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Definition at line 408 of file StdExpansion3D.cpp.

413{
414 NEKERROR(ErrorUtil::efatal, "Method does not exist for this shape");
415}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetEdgeInteriorToElementMap().

◆ v_GetEdgeNcoeffs()

int Nektar::StdRegions::StdExpansion3D::v_GetEdgeNcoeffs ( const int  i) const
protectedvirtual

Reimplemented in Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Definition at line 402 of file StdExpansion3D.cpp.

403{
404 NEKERROR(ErrorUtil::efatal, "This function is not valid or not defined");
405 return 0;
406}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetEdgeNcoeffs().

◆ v_GetNedges()

int Nektar::StdRegions::StdExpansion3D::v_GetNedges ( void  ) const
protectedvirtual

Reimplemented in Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Definition at line 396 of file StdExpansion3D.cpp.

397{
398 NEKERROR(ErrorUtil::efatal, "This function is not valid or not defined");
399 return 0;
400}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetNedges().

◆ v_GetShapeDimension()

int Nektar::StdRegions::StdExpansion3D::v_GetShapeDimension ( ) const
inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 283 of file StdExpansion3D.h.

284 {
285 return 3;
286 }

◆ v_GetTraceToElementMap()

void Nektar::StdRegions::StdExpansion3D::v_GetTraceToElementMap ( const int  tid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
Orientation  traceOrient,
int  P,
int  Q 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 417 of file StdExpansion3D.cpp.

422{
423 Array<OneD, unsigned int> map1, map2;
424 GetTraceCoeffMap(tid, map1);
425 GetElmtTraceToTraceMap(tid, map2, signarray, traceOrient, P, Q);
426
427 if (maparray.size() != map2.size())
428 {
429 maparray = Array<OneD, unsigned int>(map2.size());
430 }
431
432 for (int i = 0; i < map2.size(); ++i)
433 {
434 maparray[i] = map1[map2[i]];
435 }
436}
Nektar::StdRegions::StdExpansion::GetElmtTraceToTraceMap
void GetElmtTraceToTraceMap(const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
Definition: StdExpansion.h:699
Nektar::StdRegions::StdExpansion::GetTraceCoeffMap
void GetTraceCoeffMap(const unsigned int traceid, Array< OneD, unsigned int > &maparray)
Definition: StdExpansion.h:693
Nektar::LibUtilities::P
@ P
Monomial polynomials .
Definition: BasisType.h:62

References Nektar::StdRegions::StdExpansion::GetElmtTraceToTraceMap(), Nektar::StdRegions::StdExpansion::GetTraceCoeffMap(), and Nektar::LibUtilities::P.

◆ v_HelmholtzMatrixOp_MatFree()

void Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 324 of file StdExpansion3D.cpp.

327{
328 if (mkey.GetNVarCoeff() == 0 &&
329 !mkey.ConstFactorExists(StdRegions::eFactorCoeffD00))
330 {
331 using std::max;
332
333 int nquad0 = m_base[0]->GetNumPoints();
334 int nquad1 = m_base[1]->GetNumPoints();
335 int nquad2 = m_base[2]->GetNumPoints();
336 int nmodes0 = m_base[0]->GetNumModes();
337 int nmodes1 = m_base[1]->GetNumModes();
338 int nmodes2 = m_base[2]->GetNumModes();
339 int wspsize = max(nquad0 * nmodes2 * (nmodes1 + nquad1),
340 nquad0 * nquad1 * (nquad2 + nmodes0) +
341 nmodes0 * nmodes1 * nquad2);
342
343 NekDouble lambda = mkey.GetConstFactor(StdRegions::eFactorLambda);
344
345 const Array<OneD, const NekDouble> &base0 = m_base[0]->GetBdata();
346 const Array<OneD, const NekDouble> &base1 = m_base[1]->GetBdata();
347 const Array<OneD, const NekDouble> &base2 = m_base[2]->GetBdata();
348 Array<OneD, NekDouble> wsp0(8 * wspsize);
349 Array<OneD, NekDouble> wsp1(wsp0 + 1 * wspsize);
350 Array<OneD, NekDouble> wsp2(wsp0 + 2 * wspsize);
351
352 if (!(m_base[0]->Collocation() && m_base[1]->Collocation() &&
353 m_base[2]->Collocation()))
354 {
355 // MASS MATRIX OPERATION
356 // The following is being calculated:
357 // wsp0 = B * u_hat = u
358 // wsp1 = W * wsp0
359 // outarray = B^T * wsp1 = B^T * W * B * u_hat = M * u_hat
360 BwdTrans_SumFacKernel(base0, base1, base2, inarray, wsp0, wsp2,
361 true, true, true);
362 MultiplyByQuadratureMetric(wsp0, wsp1);
363 IProductWRTBase_SumFacKernel(base0, base1, base2, wsp1, outarray,
364 wsp2, true, true, true);
365 LaplacianMatrixOp_MatFree_Kernel(wsp0, wsp1, wsp2);
366 }
367 else
368 {
369 // specialised implementation for the classical spectral
370 // element method
371 MultiplyByQuadratureMetric(inarray, outarray);
372 LaplacianMatrixOp_MatFree_Kernel(inarray, wsp1, wsp2);
373 }
374
375 // outarray = lambda * outarray + wsp1
376 // = (lambda * M + L ) * u_hat
377 Vmath::Svtvp(m_ncoeffs, lambda, &outarray[0], 1, &wsp1[0], 1,
378 &outarray[0], 1);
379 }
380 else
381 {
382 StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(inarray, outarray,
383 mkey);
384 }
385}
Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel
void BwdTrans_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
Definition: StdExpansion3D.cpp:96
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:723
Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl
void HelmholtzMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:986
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_Kernel
void LaplacianMatrixOp_MatFree_Kernel(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
Definition: StdExpansion.h:1248
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.hpp:396

References BwdTrans_SumFacKernel(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::eFactorCoeffD00, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(), IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_Kernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Vmath::Svtvp().

Referenced by Nektar::StdRegions::StdHexExp::v_HelmholtzMatrixOp(), Nektar::LocalRegions::HexExp::v_HelmholtzMatrixOp(), Nektar::LocalRegions::PrismExp::v_HelmholtzMatrixOp(), and Nektar::LocalRegions::TetExp::v_HelmholtzMatrixOp().

◆ v_Integral()

NekDouble Nektar::StdRegions::StdExpansion3D::v_Integral ( const Array< OneD, const NekDouble > &  inarray)
overrideprotectedvirtual

Integrates the specified function over the domain.

See also
StdRegions::StdExpansion::Integral.

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, and Nektar::LocalRegions::TetExp.

Definition at line 387 of file StdExpansion3D.cpp.

389{
390 const int nqtot = GetTotPoints();
391 Array<OneD, NekDouble> tmp(GetTotPoints());
392 v_MultiplyByStdQuadratureMetric(inarray, tmp);
393 return Vmath::Vsum(nqtot, tmp, 1);
394}
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
Nektar::StdRegions::StdExpansion::v_MultiplyByStdQuadratureMetric
virtual void v_MultiplyByStdQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.cpp:1437
Vmath::Vsum
T Vsum(int n, const T *x, const int incx)
Subtract return sum(x)
Definition: Vmath.hpp:608

References Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::v_MultiplyByStdQuadratureMetric(), and Vmath::Vsum().

◆ v_IProductWRTBase_SumFacKernel()

virtual void Nektar::StdRegions::StdExpansion3D::v_IProductWRTBase_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  base2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1,
bool  doCheckCollDir2 
)
protectedpure virtual

Implemented in Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Referenced by IProductWRTBase_SumFacKernel().

◆ v_LaplacianMatrixOp_MatFree()

void Nektar::StdRegions::StdExpansion3D::v_LaplacianMatrixOp_MatFree ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
overrideprotectedvirtual
Parameters
inarrayInput coefficients.
outputOutput coefficients.
mkeyMatrix key

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 281 of file StdExpansion3D.cpp.

284{
285 if (mkey.GetNVarCoeff() == 0 &&
286 !mkey.ConstFactorExists(StdRegions::eFactorCoeffD00) &&
287 !mkey.ConstFactorExists(eFactorSVVCutoffRatio))
288 {
289 // This implementation is only valid when there are no
290 // coefficients associated to the Laplacian operator
291 int nqtot = GetTotPoints();
292
293 const Array<OneD, const NekDouble> &base0 = m_base[0]->GetBdata();
294 const Array<OneD, const NekDouble> &base1 = m_base[1]->GetBdata();
295 const Array<OneD, const NekDouble> &base2 = m_base[2]->GetBdata();
296
297 // Allocate temporary storage
298 Array<OneD, NekDouble> wsp0(7 * nqtot);
299 Array<OneD, NekDouble> wsp1(wsp0 + nqtot);
300
301 if (!(m_base[0]->Collocation() && m_base[1]->Collocation() &&
302 m_base[2]->Collocation()))
303 {
304 // LAPLACIAN MATRIX OPERATION
305 // wsp0 = u = B * u_hat
306 // wsp1 = du_dxi1 = D_xi1 * wsp0 = D_xi1 * u
307 // wsp2 = du_dxi2 = D_xi2 * wsp0 = D_xi2 * u
308 BwdTrans_SumFacKernel(base0, base1, base2, inarray, wsp0, wsp1,
309 true, true, true);
310 LaplacianMatrixOp_MatFree_Kernel(wsp0, outarray, wsp1);
311 }
312 else
313 {
314 LaplacianMatrixOp_MatFree_Kernel(inarray, outarray, wsp1);
315 }
316 }
317 else
318 {
319 StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(inarray, outarray,
320 mkey);
321 }
322}
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl
void LaplacianMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:780

References BwdTrans_SumFacKernel(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::eFactorCoeffD00, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(), Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_Kernel(), and Nektar::StdRegions::StdExpansion::m_base.

Referenced by Nektar::StdRegions::StdHexExp::v_LaplacianMatrixOp(), Nektar::LocalRegions::HexExp::v_LaplacianMatrixOp(), and Nektar::LocalRegions::TetExp::v_LaplacianMatrixOp().

◆ v_PhysEvaluate() [1/3]

NekDouble Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate ( const Array< OneD, const NekDouble > &  coords,
const Array< OneD, const NekDouble > &  physvals 
)
overrideprotectedvirtual

This function evaluates the expansion at a single (arbitrary) point of the domain.

Based on the value of the expansion at the quadrature points, this function calculates the value of the expansion at an arbitrary single points (with coordinates \( \mathbf{x_c}\) given by the pointer coords). This operation, equivalent to

\[ u(\mathbf{x_c}) = \sum_p \phi_p(\mathbf{x_c}) \hat{u}_p \]

is evaluated using Lagrangian interpolants through the quadrature points:

\[ u(\mathbf{x_c}) = \sum_p h_p(\mathbf{x_c}) u_p\]

This function requires that the physical value array \(\mathbf{u}\) (implemented as the attribute #phys) is set.

Parameters
coordsthe coordinates of the single point
Returns
returns the value of the expansion at the single point

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::HexExp, and Nektar::LocalRegions::TetExp.

Definition at line 195 of file StdExpansion3D.cpp.

198{
199 Array<OneD, NekDouble> eta(3);
200
201 WARNINGL2(coords[0] >= -1 - NekConstants::kNekZeroTol, "coord[0] < -1");
202 WARNINGL2(coords[0] <= 1 + NekConstants::kNekZeroTol, "coord[0] > 1");
203 WARNINGL2(coords[1] >= -1 - NekConstants::kNekZeroTol, "coord[1] < -1");
204 WARNINGL2(coords[1] <= 1 + NekConstants::kNekZeroTol, "coord[1] > 1");
205 WARNINGL2(coords[2] >= -1 - NekConstants::kNekZeroTol, "coord[2] < -1");
206 WARNINGL2(coords[2] <= 1 + NekConstants::kNekZeroTol, "coord[2] > 1");
207
208 // Obtain local collapsed coordinate from Cartesian coordinate.
209 LocCoordToLocCollapsed(coords, eta);
210
211 const int nq0 = m_base[0]->GetNumPoints();
212 const int nq1 = m_base[1]->GetNumPoints();
213 const int nq2 = m_base[2]->GetNumPoints();
214
215 Array<OneD, NekDouble> wsp1(nq1 * nq2), wsp2(nq2);
216
217 // Construct the 2D square...
218 const NekDouble *ptr = &physvals[0];
219 for (int i = 0; i < nq1 * nq2; ++i, ptr += nq0)
220 {
221 wsp1[i] = StdExpansion::BaryEvaluate<0>(eta[0], ptr);
222 }
223
224 for (int i = 0; i < nq2; ++i)
225 {
226 wsp2[i] = StdExpansion::BaryEvaluate<1>(eta[1], &wsp1[i * nq1]);
227 }
228
229 return StdExpansion::BaryEvaluate<2>(eta[2], &wsp2[0]);
230}
WARNINGL2
#define WARNINGL2(condition, msg)
Definition: ErrorUtil.hpp:266
Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed
void LocCoordToLocCollapsed(const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
Convert local cartesian coordinate xi into local collapsed coordinates eta.
Definition: StdExpansion.h:1002
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:49

References Nektar::NekConstants::kNekZeroTol, Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, and WARNINGL2.

Referenced by Nektar::StdRegions::StdNodalPrismExp::GenNBasisTransMatrix(), and Nektar::StdRegions::StdNodalTetExp::GenNBasisTransMatrix().

◆ v_PhysEvaluate() [2/3]

NekDouble Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate ( const Array< OneD, DNekMatSharedPtr > &  I,
const Array< OneD, const NekDouble > &  physvals 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 232 of file StdExpansion3D.cpp.

235{
236 NekDouble value;
237
238 int Qx = m_base[0]->GetNumPoints();
239 int Qy = m_base[1]->GetNumPoints();
240 int Qz = m_base[2]->GetNumPoints();
241
242 Array<OneD, NekDouble> sumFactorization_qr =
243 Array<OneD, NekDouble>(Qy * Qz);
244 Array<OneD, NekDouble> sumFactorization_r = Array<OneD, NekDouble>(Qz);
245
246 // Lagrangian interpolation matrix
247 NekDouble *interpolatingNodes = nullptr;
248
249 // Interpolate first coordinate direction
250 interpolatingNodes = &I[0]->GetPtr()[0];
251
252 Blas::Dgemv('T', Qx, Qy * Qz, 1.0, &physvals[0], Qx, &interpolatingNodes[0],
253 1, 0.0, &sumFactorization_qr[0], 1);
254
255 // Interpolate in second coordinate direction
256 interpolatingNodes = &I[1]->GetPtr()[0];
257
258 Blas::Dgemv('T', Qy, Qz, 1.0, &sumFactorization_qr[0], Qy,
259 &interpolatingNodes[0], 1, 0.0, &sumFactorization_r[0], 1);
260
261 // Interpolate in third coordinate direction
262 interpolatingNodes = &I[2]->GetPtr()[0];
263 value = Blas::Ddot(Qz, interpolatingNodes, 1, &sumFactorization_r[0], 1);
264
265 return value;
266}
Blas::Dgemv
static void Dgemv(const char &trans, const int &m, const int &n, const double &alpha, const double *a, const int &lda, const double *x, const int &incx, const double &beta, double *y, const int &incy)
BLAS level 2: Matrix vector multiply y = alpha A x plus beta y where A[m x n].
Definition: Blas.hpp:211
Blas::Ddot
static double Ddot(const int &n, const double *x, const int &incx, const double *y, const int &incy)
BLAS level 1: output = .
Definition: Blas.hpp:163

References Blas::Ddot(), Blas::Dgemv(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_PhysEvaluate() [3/3]

NekDouble Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate ( const Array< OneD, NekDouble > &  coord,
const Array< OneD, const NekDouble > &  inarray,
std::array< NekDouble, 3 > &  firstOrderDerivs 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::TetExp, Nektar::StdRegions::StdHexExp, Nektar::StdRegions::StdPrismExp, Nektar::StdRegions::StdPyrExp, and Nektar::StdRegions::StdTetExp.

Definition at line 268 of file StdExpansion3D.cpp.

272{
273 return 0;
274}
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