Base class for all multi-elemental spectral/hp expansions. More...

#include <ExpList.h>

Inheritance diagram for Nektar::MultiRegions::ExpList:

Collaboration diagram for Nektar::MultiRegions::ExpList:

Public Member Functions
	ExpList ()
	The default constructor. More...

	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession)
	The default constructor. More...

	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	The default constructor. More...

	ExpList (const ExpList &in, const std::vector< unsigned int > &eIDs, const bool DeclareCoeffPhysArrays=true)
	Constructor copying only elements defined in eIds. More...

	ExpList (const ExpList &in, const bool DeclareCoeffPhysArrays=true)
	The copy constructor. More...

virtual	~ExpList ()
	The default destructor. More...

int	GetNcoeffs (void) const
	Returns the total number of local degrees of freedom $N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_m$ . More...

int	GetNcoeffs (const int eid) const
	Returns the total number of local degrees of freedom for element eid. More...

ExpansionType	GetExpType (void)
	Returns the type of the expansion. More...

void	SetExpType (ExpansionType Type)
	Returns the type of the expansion. More...

int	EvalBasisNumModesMax (void) const
	Evaulates the maximum number of modes in the elemental basis order over all elements. More...

const Array< OneD, int >	EvalBasisNumModesMaxPerExp (void) const
	Returns the vector of the number of modes in the elemental basis order over all elements. More...

int	GetTotPoints (void) const
	Returns the total number of quadrature points m_npoints $=Q_{\mathrm{tot}}$ . More...

int	GetTotPoints (const int eid) const
	Returns the total number of quadrature points for eid's element $=Q_{\mathrm{tot}}$ . More...

int	GetNpoints (void) const
	Returns the total number of quadrature points m_npoints $=Q_{\mathrm{tot}}$ . More...

int	Get1DScaledTotPoints (const NekDouble scale) const
	Returns the total number of qudature points scaled by the factor scale on each 1D direction. More...

void	SetWaveSpace (const bool wavespace)
	Sets the wave space to the one of the possible configuration true or false. More...

void	SetModifiedBasis (const bool modbasis)
	Set Modified Basis for the stability analysis. More...

void	SetPhys (int i, NekDouble val)
	Set the i th value of m_phys to value val. More...

bool	GetWaveSpace (void) const
	This function returns the third direction expansion condition, which can be in wave space (coefficient) or not It is stored in the variable m_WaveSpace. More...

void	SetPhys (const Array< OneD, const NekDouble > &inarray)
	Fills the array m_phys. More...

void	SetPhysArray (Array< OneD, NekDouble > &inarray)
	Sets the array m_phys. More...

void	SetPhysState (const bool physState)
	This function manually sets whether the array of physical values $\boldsymbol{u}_l$ (implemented as m_phys) is filled or not. More...

bool	GetPhysState (void) const
	This function indicates whether the array of physical values $\boldsymbol{u}_l$ (implemented as m_phys) is filled or not. More...

NekDouble	PhysIntegral (void)
	This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion. More...

NekDouble	PhysIntegral (const Array< OneD, const NekDouble > &inarray)
	This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion. More...

void	IProductWRTBase_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to all {local} expansion modes $\phi_n^e(\boldsymbol{x})$ . More...

void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to the derivative (in direction. More...

void	IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to the derivative (in direction. More...

void	FwdTrans_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally evaluates the forward transformation of a function $u(\boldsymbol{x})$ onto the global spectral/hp expansion. More...

void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

void	MultiplyByElmtInvMass (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally mulplies the coefficient space of Sin my the elemental inverse of the mass matrix. More...

void	MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

void	SmoothField (Array< OneD, NekDouble > &field)
	Smooth a field across elements. More...

void	HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const FlagList &flags, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve helmholtz problem. More...

void	LinearAdvectionDiffusionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve Advection Diffusion Reaction. More...

void	LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve Advection Diffusion Reaction. More...

void	FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	BwdTrans_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally evaluates the backward transformation of the global spectral/hp element expansion. More...

void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

void	GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)
	This function calculates the coordinates of all the elemental quadrature points $\boldsymbol{x}_i$ . More...

void	HomogeneousFwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)

void	HomogeneousBwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)

void	DealiasedProd (const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

void	GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID)

void	NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID)

void	NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray)

void	ApplyGeomInfo ()
	Apply geometry information to each expansion. More...

void	Reset ()
	Reset geometry information and reset matrices. More...

void	WriteTecplotHeader (std::ostream &outfile, std::string var="")

void	WriteTecplotZone (std::ostream &outfile, int expansion=-1)

void	WriteTecplotField (std::ostream &outfile, int expansion=-1)

void	WriteTecplotConnectivity (std::ostream &outfile, int expansion=-1)

void	WriteVtkHeader (std::ostream &outfile)

void	WriteVtkFooter (std::ostream &outfile)

void	WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip=0)

void	WriteVtkPieceFooter (std::ostream &outfile, int expansion)

void	WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var="v")

int	GetCoordim (int eid)
	This function returns the dimension of the coordinates of the element eid. More...

void	SetCoeff (int i, NekDouble val)
	Set the i th coefficiient in m_coeffs to value val. More...

void	SetCoeffs (int i, NekDouble val)
	Set the i th coefficiient in m_coeffs to value val. More...

void	SetCoeffsArray (Array< OneD, NekDouble > &inarray)
	Set the m_coeffs array to inarray. More...

const Array< OneD, const NekDouble > &	GetCoeffs () const
	This function returns (a reference to) the array $\boldsymbol{\hat{u}}_l$ (implemented as m_coeffs) containing all local expansion coefficients. More...

void	ImposeDirichletConditions (Array< OneD, NekDouble > &outarray)
	Impose Dirichlet Boundary Conditions onto Array. More...

void	FillBndCondFromField (void)
	Fill Bnd Condition expansion from the values stored in expansion. More...

void	LocalToGlobal (void)
	Put the coefficients into global ordering using m_coeffs. More...

void	GlobalToLocal (void)
	Put the coefficients into local ordering and place in m_coeffs. More...

NekDouble	GetCoeff (int i)
	Get the i th value (coefficient) of m_coeffs. More...

NekDouble	GetCoeffs (int i)
	Get the i th value (coefficient) of m_coeffs. More...

const Array< OneD, const NekDouble > &	GetPhys () const
	This function returns (a reference to) the array $\boldsymbol{u}_l$ (implemented as m_phys) containing the function $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points. More...

NekDouble	Linf (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	This function calculates the $L_\infty$ error of the global spectral/hp element approximation. More...

NekDouble	L2 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	This function calculates the error with respect to soln of the global spectral/hp element approximation. More...

NekDouble	H1 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	Calculates the error of the global spectral/hp element approximation. More...

NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)

Array< OneD, const NekDouble >	HomogeneousEnergy (void)
	This function calculates the energy associated with each one of the modesof a 3D homogeneous nD expansion. More...

void	SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc)
	This function sets the Spectral Vanishing Viscosity in homogeneous1D expansion. More...

Array< OneD, const unsigned int >	GetZIDs (void)
	This function returns a vector containing the wave numbers in z-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More...

LibUtilities::TranspositionSharedPtr	GetTransposition (void)
	This function returns the transposition class associaed with the homogeneous expansion. More...

NekDouble	GetHomoLen (void)
	This function returns the Width of homogeneous direction associaed with the homogeneous expansion. More...

Array< OneD, const unsigned int >	GetYIDs (void)
	This function returns a vector containing the wave numbers in y-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More...

void	PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function interpolates the physical space points in inarray to outarray using the same points defined in the expansion but where the number of points are rescaled by 1DScale. More...

void	PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function Galerkin projects the physical space points in inarray to outarray where inarray is assumed to be defined in the expansion but where the number of points are rescaled by 1DScale. More...

int	GetExpSize (void)
	This function returns the number of elements in the expansion. More...

int	GetNumElmts (void)
	This function returns the number of elements in the expansion which may be different for a homogeoenous extended expansionp. More...

const boost::shared_ptr < LocalRegions::ExpansionVector >	GetExp () const
	This function returns the vector of elements in the expansion. More...

LocalRegions::ExpansionSharedPtr &	GetExp (int n) const
	This function returns (a shared pointer to) the local elemental expansion of the $n^{\mathrm{th}}$ element. More...

LocalRegions::ExpansionSharedPtr &	GetExp (const Array< OneD, const NekDouble > &gloCoord)
	This function returns (a shared pointer to) the local elemental expansion containing the arbitrary point given by gloCoord. More...

int	GetExpIndex (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0, bool returnNearestElmt=false)

int	GetExpIndex (const Array< OneD, const NekDouble > &gloCoords, Array< OneD, NekDouble > &locCoords, NekDouble tol=0.0, bool returnNearestElmt=false)

int	GetCoeff_Offset (int n) const
	Get the start offset position for a global list of m_coeffs correspoinding to element n. More...

int	GetPhys_Offset (int n) const
	Get the start offset position for a global list of m_phys correspoinding to element n. More...

int	GetOffset_Elmt_Id (int n) const
	Get the element id associated with the n th consecutive block of data in m_phys and m_coeffs. More...

Array< OneD, NekDouble > &	UpdateCoeffs ()
	This function returns (a reference to) the array $\boldsymbol{\hat{u}}_l$ (implemented as m_coeffs) containing all local expansion coefficients. More...

Array< OneD, NekDouble > &	UpdatePhys ()
	This function returns (a reference to) the array $\boldsymbol{u}_l$ (implemented as m_phys) containing the function $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points. More...

void	PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)

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)
	This function discretely evaluates the derivative of a function $f(\boldsymbol{x})$ on the domain consisting of all elements of the expansion. More...

void	PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)

const Array< OneD, const boost::shared_ptr< ExpList > > &	GetBndCondExpansions ()

boost::shared_ptr< ExpList > &	UpdateBndCondExpansion (int i)

void	Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)

void	Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)

boost::shared_ptr< ExpList > &	GetTrace ()

boost::shared_ptr < AssemblyMapDG > &	GetTraceMap (void)

const Array< OneD, const int > &	GetTraceBndMap (void)

void	GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)

void	AddTraceIntegral (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

void	AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

void	AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)

void	GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)

void	GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)

const vector< bool > &	GetLeftAdjacentFaces (void) const

void	ExtractTracePhys (Array< OneD, NekDouble > &outarray)

void	ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &	GetBndConditions ()

Array< OneD, SpatialDomains::BoundaryConditionShPtr > &	UpdateBndConditions ()

void	EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble=NekConstants::kNekUnsetDouble, const NekDouble=NekConstants::kNekUnsetDouble)

void	GeneralMatrixOp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)
	This function calculates the result of the multiplication of a matrix of type specified by mkey with a vector given by inarray. More...

void	GeneralMatrixOp_IterPerExp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	SetUpPhysNormals ()

void	GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)

void	GetBndElmtExpansion (int i, boost::shared_ptr< ExpList > &result)

void	ExtractElmtToBndPhys (int i, Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)

void	ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)

void	GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals)

void	GeneralGetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef, int NumHomoDir=0, Array< OneD, LibUtilities::BasisSharedPtr > &HomoBasis=LibUtilities::NullBasisSharedPtr1DArray, std::vector< NekDouble > &HomoLen=LibUtilities::NullNekDoubleVector, bool homoStrips=false, std::vector< unsigned int > &HomoSIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoZIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoYIDs=LibUtilities::NullUnsignedIntVector)

const NekOptimize::GlobalOptParamSharedPtr &	GetGlobalOptParam (void)

map< int, RobinBCInfoSharedPtr >	GetRobinBCInfo ()

void	GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces=NullPeriodicMap)

std::vector < LibUtilities::FieldDefinitionsSharedPtr >	GetFieldDefinitions ()

void	GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef)

void	AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata)
	Append the element data listed in elements fielddef->m_ElementIDs onto fielddata. More...

void	AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs)
	Append the data in coeffs listed in elements fielddef->m_ElementIDs onto fielddata. More...

void	ExtractElmtDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs)
	Extract the data in fielddata into the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More...

void	ExtractCoeffsToCoeffs (const boost::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs)
	Extract the data from fromField using fromExpList the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More...

void	ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs)
	Extract the data in fielddata into the coeffs. More...

boost::shared_ptr< ExpList >	GetSharedThisPtr ()
	Returns a shared pointer to the current object. More...

boost::shared_ptr < LibUtilities::SessionReader >	GetSession ()
	Returns the session object. More...

boost::shared_ptr < LibUtilities::Comm >	GetComm ()
	Returns the comm object. More...

SpatialDomains::MeshGraphSharedPtr	GetGraph ()

LibUtilities::BasisSharedPtr	GetHomogeneousBasis (void)

boost::shared_ptr< ExpList > &	GetPlane (int n)

void	CreateCollections (Collections::ImplementationType ImpType=Collections::eNoImpType)
	Construct collections of elements containing a single element type and polynomial order from the list of expansions. More...

void	ClearGlobalLinSysManager (void)

Public Attributes
ExpansionType	m_expType

Protected Member Functions
boost::shared_ptr< DNekMat >	GenGlobalMatrixFull (const GlobalLinSysKey &mkey, const boost::shared_ptr< AssemblyMapCG > &locToGloMap)

const DNekScalBlkMatSharedPtr	GenBlockMatrix (const GlobalMatrixKey &gkey)
	This function assembles the block diagonal matrix of local matrices of the type mtype. More...

const DNekScalBlkMatSharedPtr &	GetBlockMatrix (const GlobalMatrixKey &gkey)

void	MultiplyByBlockMatrix (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

boost::shared_ptr< GlobalMatrix >	GenGlobalMatrix (const GlobalMatrixKey &mkey, const boost::shared_ptr< AssemblyMapCG > &locToGloMap)
	Generates a global matrix from the given key and map. More...

void	GlobalEigenSystem (const boost::shared_ptr< DNekMat > &Gmat, Array< OneD, NekDouble > &EigValsReal, Array< OneD, NekDouble > &EigValsImag, Array< OneD, NekDouble > &EigVecs=NullNekDouble1DArray)

boost::shared_ptr< GlobalLinSys >	GenGlobalLinSys (const GlobalLinSysKey &mkey, const boost::shared_ptr< AssemblyMapCG > &locToGloMap)
	This operation constructs the global linear system of type mkey. More...

boost::shared_ptr< GlobalLinSys >	GenGlobalBndLinSys (const GlobalLinSysKey &mkey, const AssemblyMapSharedPtr &locToGloMap)
	Generate a GlobalLinSys from information provided by the key "mkey" and the mapping provided in LocToGloBaseMap. More...

void	ReadGlobalOptimizationParameters ()

virtual int	v_GetNumElmts (void)

virtual const Array< OneD, const boost::shared_ptr < ExpList > > &	v_GetBndCondExpansions (void)

virtual boost::shared_ptr < ExpList > &	v_UpdateBndCondExpansion (int i)

virtual void	v_Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)

virtual void	v_Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)

virtual boost::shared_ptr < ExpList > &	v_GetTrace ()

virtual boost::shared_ptr < AssemblyMapDG > &	v_GetTraceMap ()

virtual const Array< OneD, const int > &	v_GetTraceBndMap ()

virtual void	v_GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)

virtual void	v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

virtual void	v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

virtual void	v_AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)

virtual void	v_GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)

virtual void	v_GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)

virtual const vector< bool > &	v_GetLeftAdjacentFaces (void) const

virtual void	v_ExtractTracePhys (Array< OneD, NekDouble > &outarray)

virtual void	v_ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)

virtual void	v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const FlagList &flags, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const Array< OneD, const NekDouble > &dirForcing)

virtual void	v_LinearAdvectionDiffusionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)

virtual void	v_LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)

virtual void	v_ImposeDirichletConditions (Array< OneD, NekDouble > &outarray)

virtual void	v_FillBndCondFromField ()

virtual void	v_Reset ()
	Reset geometry information, metrics, matrix managers and geometry information. More...

virtual void	v_LocalToGlobal (void)

virtual void	v_GlobalToLocal (void)

virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)

virtual void	v_BwdTrans_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)

virtual void	v_FwdTrans_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_SmoothField (Array< OneD, NekDouble > &field)

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)

virtual void	v_IProductWRTBase_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_GeneralMatrixOp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)

virtual void	v_GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)

virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)

virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)

virtual void	v_PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)

virtual void	v_HomogeneousFwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)

virtual void	v_HomogeneousBwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)

virtual void	v_DealiasedProd (const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)

virtual void	v_GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID)

virtual void	v_NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID)

virtual void	v_NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray)

virtual void	v_SetUpPhysNormals ()

virtual void	v_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)

virtual void	v_GetBndElmtExpansion (int i, boost::shared_ptr< ExpList > &result)

virtual void	v_ExtractElmtToBndPhys (int i, Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)

virtual void	v_ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)

virtual void	v_GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals)

virtual void	v_ReadGlobalOptimizationParameters ()

virtual std::vector < LibUtilities::FieldDefinitionsSharedPtr >	v_GetFieldDefinitions (void)

virtual void	v_GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef)

virtual void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata)

virtual void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs)

virtual void	v_ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs)
	Extract data from raw field data into expansion list. More...

virtual void	v_ExtractCoeffsToCoeffs (const boost::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs)

virtual void	v_WriteTecplotHeader (std::ostream &outfile, std::string var="")

virtual void	v_WriteTecplotZone (std::ostream &outfile, int expansion)

virtual void	v_WriteTecplotField (std::ostream &outfile, int expansion)

virtual void	v_WriteTecplotConnectivity (std::ostream &outfile, int expansion)

virtual void	v_WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip)

virtual void	v_WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var)

virtual NekDouble	v_L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)

virtual NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray)

virtual Array< OneD, const NekDouble >	v_HomogeneousEnergy (void)

virtual LibUtilities::TranspositionSharedPtr	v_GetTransposition (void)

virtual NekDouble	v_GetHomoLen (void)

virtual Array< OneD, const unsigned int >	v_GetZIDs (void)

virtual Array< OneD, const unsigned int >	v_GetYIDs (void)

virtual void	v_PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_ClearGlobalLinSysManager (void)

void	ExtractFileBCs (const std::string &fileName, const std::string &varName, const boost::shared_ptr< ExpList > locExpList)

Static Protected Member Functions
static SpatialDomains::BoundaryConditionShPtr	GetBoundaryCondition (const SpatialDomains::BoundaryConditionCollection &collection, unsigned int index, const std::string &variable)

Protected Attributes
LibUtilities::CommSharedPtr	m_comm
	Communicator. More...

LibUtilities::SessionReaderSharedPtr	m_session
	Session. More...

SpatialDomains::MeshGraphSharedPtr	m_graph
	Mesh associated with this expansion list. More...

int	m_ncoeffs
	The total number of local degrees of freedom. m_ncoeffs $=N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_l$ . More...

int	m_npoints

Array< OneD, NekDouble >	m_coeffs
	Concatenation of all local expansion coefficients. More...

Array< OneD, NekDouble >	m_phys
	The global expansion evaluated at the quadrature points. More...

bool	m_physState
	The state of the array m_phys. More...

boost::shared_ptr < LocalRegions::ExpansionVector >	m_exp
	The list of local expansions. More...

Collections::CollectionVector	m_collections

std::vector< int >	m_coll_coeff_offset
	Offset of elemental data into the array m_coeffs. More...

std::vector< int >	m_coll_phys_offset
	Offset of elemental data into the array m_phys. More...

Array< OneD, int >	m_coeff_offset
	Offset of elemental data into the array m_coeffs. More...

Array< OneD, int >	m_phys_offset
	Offset of elemental data into the array m_phys. More...

Array< OneD, int >	m_offset_elmt_id
	Array containing the element id m_offset_elmt_id[n] that the n^th consecutive block of data in m_coeffs and m_phys is associated, i.e. for an array of constant expansion size and single shape elements m_phys[n*m_npoints] is the data related to m_exp[m_offset_elmt_id[n]];. More...

NekOptimize::GlobalOptParamSharedPtr	m_globalOptParam

BlockMatrixMapShPtr	m_blockMat

bool	m_WaveSpace

Private Member Functions
virtual const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &	v_GetBndConditions ()

virtual Array< OneD, SpatialDomains::BoundaryConditionShPtr > &	v_UpdateBndConditions ()

virtual void	v_EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble x2_in=NekConstants::kNekUnsetDouble, const NekDouble x3_in=NekConstants::kNekUnsetDouble)

virtual map< int, RobinBCInfoSharedPtr >	v_GetRobinBCInfo (void)

virtual void	v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces)

virtual LibUtilities::BasisSharedPtr	v_GetHomogeneousBasis (void)

virtual void	v_SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc)

virtual boost::shared_ptr < ExpList > &	v_GetPlane (int n)

Detailed Description

Base class for all multi-elemental spectral/hp expansions.

All multi-elemental expansions $u^{\delta}(\boldsymbol{x})$ can be considered as the assembly of the various elemental contributions. On a discrete level, this yields,

$u^{\delta}(\boldsymbol{x}_i)=\sum_{e=1}^{{N_{\mathrm{el}}}} \sum_{n=0}^{N^{e}_m-1}\hat{u}_n^e\phi_n^e(\boldsymbol{x}_i).$

where ${N_{\mathrm{el}}}$ is the number of elements and $N^{e}_m$ is the local elemental number of expansion modes. As it is the lowest level class, it contains the definition of the common data and common routines to all multi-elemental expansions.

The class stores a vector of expansions, m_exp, (each derived from StdRegions::StdExpansion) which define the constituent components of the domain. The coefficients from these expansions are concatenated in m_coeffs, while the expansion evaluated at the quadrature points is stored in m_phys.

Definition at line 101 of file ExpList.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::ExpList::ExpList ( )

The default constructor.

Creates an empty expansion list. The expansion list will typically be populated by a derived class (namely one of MultiRegions::ExpList1D, MultiRegions::ExpList2D or MultiRegions::ExpList3D).

Definition at line 93 of file ExpList.cpp.

References Nektar::MultiRegions::eNoType, and SetExpType().

                         :
             m_comm(),
             m_session(),
             m_graph(),
             m_ncoeffs(0),
             m_npoints(0),
             m_coeffs(),
             m_phys(),
             m_physState(false),
             m_exp(MemoryManager<LocalRegions::ExpansionVector>
                       ::AllocateSharedPtr()),
             m_coeff_offset(),
             m_phys_offset(),
             m_offset_elmt_id(),
             m_blockMat(MemoryManager<BlockMatrixMap>::AllocateSharedPtr()),
             m_WaveSpace(false)
         {
             SetExpType(eNoType);
         }

Nektar::MultiRegions::ExpList::ExpList ( const LibUtilities::SessionReaderSharedPtr & pSession )

The default constructor.

Creates an empty expansion list. The expansion list will typically be populated by a derived class (namely one of MultiRegions::ExpList1D, MultiRegions::ExpList2D or MultiRegions::ExpList3D).

Definition at line 119 of file ExpList.cpp.

References Nektar::MultiRegions::eNoType, and SetExpType().

                                                                    :
             m_comm(pSession->GetComm()),
             m_session(pSession),
             m_graph(),
             m_ncoeffs(0),
             m_npoints(0),
             m_coeffs(),
             m_phys(),
             m_physState(false),
             m_exp(MemoryManager<LocalRegions::ExpansionVector>
                       ::AllocateSharedPtr()),
             m_coeff_offset(),
             m_phys_offset(),
             m_offset_elmt_id(),
             m_blockMat(MemoryManager<BlockMatrixMap>::AllocateSharedPtr()),
             m_WaveSpace(false)
         {
             SetExpType(eNoType);
         }

Nektar::MultiRegions::ExpList::ExpList	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const SpatialDomains::MeshGraphSharedPtr &	pGraph
	)

The default constructor.

Creates an empty expansion list. The expansion list will typically be populated by a derived class (namely one of MultiRegions::ExpList1D, MultiRegions::ExpList2D or MultiRegions::ExpList3D).

Definition at line 146 of file ExpList.cpp.

References Nektar::MultiRegions::eNoType, and SetExpType().

                                                                :
             m_comm(pSession->GetComm()),
             m_session(pSession),
             m_graph(pGraph),
             m_ncoeffs(0),
             m_npoints(0),
             m_coeffs(),
             m_phys(),
             m_physState(false),
             m_exp(MemoryManager<LocalRegions::ExpansionVector>
                       ::AllocateSharedPtr()),
             m_coeff_offset(),
             m_phys_offset(),
             m_offset_elmt_id(),
             m_blockMat(MemoryManager<BlockMatrixMap>::AllocateSharedPtr()),
             m_WaveSpace(false)
         {
             SetExpType(eNoType);
         }

Nektar::MultiRegions::ExpList::ExpList	(	const ExpList &	in,
		const std::vector< unsigned int > &	eIDs,
		const bool	DeclareCoeffPhysArrays = `true`
	)

Constructor copying only elements defined in eIds.

Copies the eIds elements from an existing expansion list.

Parameters

in	Source expansion list.
in	elements that will be in the new exp list.

Definition at line 173 of file ExpList.cpp.

References Nektar::MultiRegions::eNoType, m_coeffs, m_exp, m_ncoeffs, m_npoints, m_phys, and SetExpType().

                                                            :
             m_comm(in.m_comm),
             m_session(in.m_session),
             m_graph(in.m_graph),
             m_ncoeffs(0),
             m_npoints(0),
             m_coeffs(),
             m_phys(),
             m_physState(false),
             m_exp(MemoryManager<LocalRegions::ExpansionVector>
                       ::AllocateSharedPtr()),
             m_coeff_offset(),
             m_phys_offset(),
             m_offset_elmt_id(),
             m_blockMat(MemoryManager<BlockMatrixMap>::AllocateSharedPtr()),
             m_WaveSpace(false)
         {
             SetExpType(eNoType);
             
             for (int i=0; i < eIDs.size(); ++i)
             {
                 (*m_exp).push_back( (*(in.m_exp))[eIDs[i]]);
                 m_ncoeffs += (*m_exp)[i]->GetNcoeffs();
                 m_npoints += (*m_exp)[i]->GetTotPoints();
             }
 
             if(DeclareCoeffPhysArrays)
             {
                 m_coeffs = Array<OneD, NekDouble>(m_ncoeffs, 0.0);
                 m_phys   = Array<OneD, NekDouble>(m_npoints, 0.0);
             }
         }

Nektar::MultiRegions::ExpList::ExpList	(	const ExpList &	in,
		const bool	DeclareCoeffPhysArrays = `true`
	)

The copy constructor.

Copies an existing expansion list.

Parameters

in	Source expansion list.

Definition at line 213 of file ExpList.cpp.

References Nektar::MultiRegions::eNoType, m_coeffs, m_ncoeffs, m_npoints, m_phys, and SetExpType().

                                                                             :
             m_comm(in.m_comm),
             m_session(in.m_session),
             m_graph(in.m_graph),
             m_ncoeffs(in.m_ncoeffs),
             m_npoints(in.m_npoints),
             m_physState(false),
             m_exp(in.m_exp),
             m_collections(in.m_collections),
             m_coll_coeff_offset(in.m_coll_coeff_offset),
             m_coll_phys_offset(in.m_coll_phys_offset),
             m_coeff_offset(in.m_coeff_offset),
             m_phys_offset(in.m_phys_offset),
             m_offset_elmt_id(in.m_offset_elmt_id),
             m_globalOptParam(in.m_globalOptParam),
             m_blockMat(in.m_blockMat),
             m_WaveSpace(false)
         {
             SetExpType(eNoType);
 
             if(DeclareCoeffPhysArrays)
             {
                 m_coeffs = Array<OneD, NekDouble>(m_ncoeffs, 0.0);
                 m_phys   = Array<OneD, NekDouble>(m_npoints, 0.0);
             }
         }

Nektar::MultiRegions::ExpList::~ExpList ( )

virtual

The default destructor.

Definition at line 256 of file ExpList.cpp.

257 {

258 }

Member Function Documentation

void Nektar::MultiRegions::ExpList::AddFwdBwdTraceIntegral	(	const Array< OneD, const NekDouble > &	Fwd,
		const Array< OneD, const NekDouble > &	Bwd,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 2037 of file ExpList.h.

References v_AddFwdBwdTraceIntegral().

         {
             v_AddFwdBwdTraceIntegral(Fwd,Bwd,outarray);
         }

void Nektar::MultiRegions::ExpList::AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fx,
		const Array< OneD, const NekDouble > &	Fy,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 2022 of file ExpList.h.

References v_AddTraceIntegral().

         {
             v_AddTraceIntegral(Fx,Fy,outarray);
         }

void Nektar::MultiRegions::ExpList::AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fn,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 2030 of file ExpList.h.

References v_AddTraceIntegral().

         {
             v_AddTraceIntegral(Fn,outarray);
         }

void Nektar::MultiRegions::ExpList::AppendFieldData	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata
	)

inline

Append the element data listed in elements fielddef->m_ElementIDs onto fielddata.

Definition at line 809 of file ExpList.h.

References v_AppendFieldData().

             {
                 v_AppendFieldData(fielddef,fielddata);
             }

void Nektar::MultiRegions::ExpList::AppendFieldData	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata,
		Array< OneD, NekDouble > &	coeffs
	)

inline

Append the data in coeffs listed in elements fielddef->m_ElementIDs onto fielddata.

Definition at line 819 of file ExpList.h.

References v_AppendFieldData().

             {
                 v_AppendFieldData(fielddef,fielddata,coeffs);
             }

void Nektar::MultiRegions::ExpList::ApplyGeomInfo ( )

Apply geometry information to each expansion.

Configures geometric info, such as tangent direction, on each expansion.

Parameters

graph2D Mesh

Definition at line 1422 of file ExpList.cpp.

Referenced by Nektar::MultiRegions::DisContField1D::DisContField1D(), and Nektar::MultiRegions::DisContField3D::DisContField3D().

         {
 
         }

void Nektar::MultiRegions::ExpList::BwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

Definition at line 1609 of file ExpList.h.

References v_BwdTrans().

Referenced by Nektar::MultiRegions::DisContField2D::L2_DGDeriv(), and v_WriteTecplotField().

         {
             v_BwdTrans(inarray,outarray,coeffstate);
         }

void Nektar::MultiRegions::ExpList::BwdTrans_IterPerExp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

This function elementally evaluates the backward transformation of the global spectral/hp element expansion.

Definition at line 1620 of file ExpList.h.

References v_BwdTrans_IterPerExp().

Referenced by Nektar::MultiRegions::ContField1D::BwdTrans(), Nektar::MultiRegions::ContField2D::BwdTrans(), and Nektar::MultiRegions::ContField3D::v_BwdTrans().

         {
             v_BwdTrans_IterPerExp(inarray,outarray);
         }

void Nektar::MultiRegions::ExpList::ClearGlobalLinSysManager ( void )

Definition at line 3089 of file ExpList.cpp.

References v_ClearGlobalLinSysManager().

         {
             v_ClearGlobalLinSysManager();
         }

void Nektar::MultiRegions::ExpList::CreateCollections ( Collections::ImplementationType ImpType = Collections::eNoImpType )

Construct collections of elements containing a single element type and polynomial order from the list of expansions.

Definition at line 2950 of file ExpList.cpp.

References Nektar::iterator, m_coeff_offset, m_coll_coeff_offset, m_coll_phys_offset, m_collections, m_comm, m_exp, m_phys_offset, and m_session.

Referenced by Nektar::MultiRegions::ExpList1D::ExpList1D(), Nektar::MultiRegions::ExpList2D::ExpList2D(), and Nektar::MultiRegions::ExpList3D::ExpList3D().

         {
             map<LibUtilities::ShapeType,
                 vector<std::pair<LocalRegions::ExpansionSharedPtr,int> > > collections;
             map<LibUtilities::ShapeType,
                 vector<std::pair<LocalRegions::ExpansionSharedPtr,int> > >::iterator it;
 
             // Figure out optimisation parameters if provided in
             // session file or default given
             Collections::CollectionOptimisation colOpt(m_session, ImpType);
             ImpType = colOpt.GetDefaultImplementationType();
 
             bool autotuning = colOpt.IsUsingAutotuning();
             bool verbose    = (m_session->DefinesCmdLineArgument("verbose")) &&
                               (m_comm->GetRank() == 0);
             int  collmax    = (colOpt.GetMaxCollectionSize() > 0
                                         ? colOpt.GetMaxCollectionSize()
                                         : 2*m_exp->size());
 
             // clear vectors in case previously called
             m_collections.clear();
             m_coll_coeff_offset.clear();
             m_coll_phys_offset.clear();
 
             // Loop over expansions, and create collections for each element type
             for (int i = 0; i < m_exp->size(); ++i)
             {
                 collections[(*m_exp)[i]->DetShapeType()].push_back(
                     std::pair<LocalRegions::ExpansionSharedPtr,int> ((*m_exp)[i],i));
             }
 
             for (it = collections.begin(); it != collections.end(); ++it)
             {
                 LocalRegions::ExpansionSharedPtr exp = it->second[0].first;
 
                 Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(exp);
                 vector<StdRegions::StdExpansionSharedPtr> collExp;
 
                 int prevCoeffOffset     = m_coeff_offset[it->second[0].second];
                 int prevPhysOffset      = m_phys_offset [it->second[0].second];
                 int collcnt;
 
                 m_coll_coeff_offset.push_back(prevCoeffOffset);
                 m_coll_phys_offset .push_back(prevPhysOffset);
 
                 if(it->second.size() == 1) // single element case
                 {
                     collExp.push_back(it->second[0].first);
 
                     // if no Imp Type provided and No settign in xml file.
                     // reset impTypes using timings
                     if(autotuning)
                     {
                         impTypes = colOpt.SetWithTimings(collExp,
                                                          impTypes, verbose);
                     }
 
                     Collections::Collection tmp(collExp, impTypes);
                     m_collections.push_back(tmp);
                 }
                 else
                 {
                     // set up first geometry
                     collExp.push_back(it->second[0].first);
                     int prevnCoeff = it->second[0].first->GetNcoeffs();
                     int prevnPhys  = it->second[0].first->GetTotPoints();
                     collcnt = 1;
 
                     for (int i = 1; i < it->second.size(); ++i)
                     {
                         int nCoeffs     = it->second[i].first->GetNcoeffs();
                         int nPhys       = it->second[i].first->GetTotPoints();
                         int coeffOffset = m_coeff_offset[it->second[i].second];
                         int physOffset  = m_phys_offset [it->second[i].second];
 
                         // check to see if next elmt is different or
                         // collmax reached and if so end collection
                         // and start new one
                         if(prevCoeffOffset + nCoeffs != coeffOffset ||
                            prevnCoeff != nCoeffs ||
                            prevPhysOffset + nPhys != physOffset ||
                            prevnPhys != nPhys || collcnt >= collmax)
                         {
 
                             // if no Imp Type provided and No
                             // settign in xml file. reset
                             // impTypes using timings
                             if(autotuning)
                             {
                                 impTypes = colOpt.SetWithTimings(collExp,
                                                                  impTypes,
                                                                  verbose);
                             }
 
                             Collections::Collection tmp(collExp, impTypes);
                             m_collections.push_back(tmp);
 
 
                             // start new geom list
                             collExp.clear();
 
                             m_coll_coeff_offset.push_back(coeffOffset);
                             m_coll_phys_offset .push_back(physOffset);
                             collExp.push_back(it->second[i].first);
                             collcnt = 1;
                         }
                         else // add to list of collections
                         {
                             collExp.push_back(it->second[i].first);
                             collcnt++;
                         }
 
                         // if end of list finish up collection
                         if (i == it->second.size() - 1)
                         {
                             // if no Imp Type provided and No
                             // settign in xml file.
                             if(autotuning)
                             {
                                 impTypes = colOpt.SetWithTimings(collExp,
                                                                  impTypes,verbose);
                             }
 
                             Collections::Collection tmp(collExp, impTypes);
                             m_collections.push_back(tmp);
                             collExp.clear();
                             collcnt = 0;
 
                         }
 
                         prevCoeffOffset = coeffOffset;
                         prevPhysOffset  = physOffset;
                         prevnCoeff      = nCoeffs;
                         prevnPhys       = nPhys;
                     }
                 }
             }
         }

void Nektar::MultiRegions::ExpList::DealiasedProd	(	const Array< OneD, NekDouble > &	inarray1,
		const Array< OneD, NekDouble > &	inarray2,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

Definition at line 1751 of file ExpList.h.

References v_DealiasedProd().

         {
             v_DealiasedProd(inarray1,inarray2,outarray,coeffstate);
         }

int Nektar::MultiRegions::ExpList::EvalBasisNumModesMax ( void ) const

inline

Evaulates the maximum number of modes in the elemental basis order over all elements.

Evaulates the maximum number of modes in the elemental basis order over all elements

Definition at line 1417 of file ExpList.h.

References m_exp.

Referenced by EvalBasisNumModesMaxPerExp().

         {
             unsigned int i;
             int returnval = 0;
 
             for(i= 0; i < (*m_exp).size(); ++i)
             {
                 returnval = max(returnval,
                                 (*m_exp)[i]->EvalBasisNumModesMax());
             }
 
             return returnval;
         }

const Array< OneD, int > Nektar::MultiRegions::ExpList::EvalBasisNumModesMaxPerExp ( void ) const

inline

Returns the vector of the number of modes in the elemental basis order over all elements.

Definition at line 1434 of file ExpList.h.

References EvalBasisNumModesMax(), and m_exp.

         {
             unsigned int i;
             Array<OneD,int> returnval((*m_exp).size(),0);
 
             for(i= 0; i < (*m_exp).size(); ++i)
             {
                 returnval[i]
                     = max(returnval[i],(*m_exp)[i]->EvalBasisNumModesMax());
             }
 
             return returnval;
         }

void Nektar::MultiRegions::ExpList::EvaluateBoundaryConditions	(	const NekDouble	time = `0.0`,
		const std::string	varName = `""`,
		const NekDouble	x2_in = `NekConstants::kNekUnsetDouble`,
		const NekDouble	x3_in = `NekConstants::kNekUnsetDouble`
	)

inline

Definition at line 2091 of file ExpList.h.

References v_EvaluateBoundaryConditions().

Referenced by Nektar::MultiRegions::DisContField1D::DisContField1D(), Nektar::MultiRegions::DisContField2D::DisContField2D(), and Nektar::MultiRegions::DisContField3D::DisContField3D().

         {
             v_EvaluateBoundaryConditions(time, varName, x2_in, x3_in);
         }

void Nektar::MultiRegions::ExpList::ExtractCoeffsToCoeffs	(	const boost::shared_ptr< ExpList > &	fromExpList,
		const Array< OneD, const NekDouble > &	fromCoeffs,
		Array< OneD, NekDouble > &	toCoeffs
	)

Extract the data from fromField using fromExpList the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case.

Definition at line 2143 of file ExpList.cpp.

References v_ExtractCoeffsToCoeffs().

         {
             v_ExtractCoeffsToCoeffs(fromExpList,fromCoeffs,toCoeffs);
         }

void Nektar::MultiRegions::ExpList::ExtractDataToCoeffs	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata,
		std::string &	field,
		Array< OneD, NekDouble > &	coeffs
	)

Extract the data in fielddata into the coeffs.

Definition at line 2134 of file ExpList.cpp.

References v_ExtractDataToCoeffs().

         {
             v_ExtractDataToCoeffs(fielddef,fielddata,field,coeffs);
         }

void Nektar::MultiRegions::ExpList::ExtractElmtDataToCoeffs	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata,
		std::string &	field,
		Array< OneD, NekDouble > &	coeffs
	)

Extract the data in fielddata into the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case.

void Nektar::MultiRegions::ExpList::ExtractElmtToBndPhys	(	int	i,
		Array< OneD, NekDouble > &	elmt,
		Array< OneD, NekDouble > &	boundary
	)

inline

Definition at line 2156 of file ExpList.h.

References v_ExtractElmtToBndPhys().

         {
             v_ExtractElmtToBndPhys(i, elmt, boundary);
         }

void Nektar::MultiRegions::ExpList::ExtractFileBCs	(	const std::string &	fileName,
		const std::string &	varName,
		const boost::shared_ptr< ExpList >	locExpList
	)

protected

Definition at line 1909 of file ExpList.cpp.

References ASSERTL0, Nektar::LibUtilities::FieldIO::Import(), and m_session.

Referenced by Nektar::MultiRegions::DisContField3D::v_EvaluateBoundaryConditions(), and Nektar::MultiRegions::DisContField2D::v_EvaluateBoundaryConditions().

         {
             string varString = fileName.substr(0, fileName.find_last_of("."));
             int j, k, len = varString.length();
             varString = varString.substr(len-1, len);
 
             std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef;
             std::vector<std::vector<NekDouble> > FieldData;
 
             LibUtilities::FieldIO f(m_session->GetComm());
             f.Import(fileName, FieldDef, FieldData);
 
             bool found = false;
             for (j = 0; j < FieldDef.size(); ++j)
             {
                 for (k = 0; k < FieldDef[j]->m_fields.size(); ++k)
                 {
                     if (FieldDef[j]->m_fields[k] == varName)
                     {
                         // Copy FieldData into locExpList
                         locExpList->ExtractDataToCoeffs(
                             FieldDef[j], FieldData[j],
                             FieldDef[j]->m_fields[k],
                             locExpList->UpdateCoeffs());
                         found = true;
                     }
                 }
             }
 
             ASSERTL0(found, "Could not find variable '"+varName+
                             "' in file boundary condition "+fileName);
             locExpList->BwdTrans_IterPerExp(
                 locExpList->GetCoeffs(),
                 locExpList->UpdatePhys());
         }

void Nektar::MultiRegions::ExpList::ExtractPhysToBndElmt	(	int	i,
		const Array< OneD, const NekDouble > &	phys,
		Array< OneD, NekDouble > &	bndElmt
	)

inline

Definition at line 2163 of file ExpList.h.

References v_ExtractPhysToBndElmt().

         {
             v_ExtractPhysToBndElmt(i, phys, bndElmt);
         }

void Nektar::MultiRegions::ExpList::ExtractTracePhys ( Array< OneD, NekDouble > & outarray )

inline

Definition at line 2065 of file ExpList.h.

References v_ExtractTracePhys().

         {
             v_ExtractTracePhys(outarray);
         }

void Nektar::MultiRegions::ExpList::ExtractTracePhys	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 2071 of file ExpList.h.

References v_ExtractTracePhys().

         {
             v_ExtractTracePhys(inarray,outarray);
         }

void Nektar::MultiRegions::ExpList::FillBndCondFromField ( void )

inline

Fill Bnd Condition expansion from the values stored in expansion.

Definition at line 1845 of file ExpList.h.

References v_FillBndCondFromField().

         {
             v_FillBndCondFromField();
         }

void Nektar::MultiRegions::ExpList::FwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

Definition at line 1580 of file ExpList.h.

References v_FwdTrans().

         {
             v_FwdTrans(inarray,outarray,coeffstate);
         }

void Nektar::MultiRegions::ExpList::FwdTrans_BndConstrained	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

Definition at line 612 of file ExpList.cpp.

References m_coeff_offset, and m_phys_offset.

         {
             int i;
 
             Array<OneD,NekDouble> e_outarray;
 
             for(i= 0; i < (*m_exp).size(); ++i)
             {
                 (*m_exp)[i]->FwdTrans_BndConstrained(inarray+m_phys_offset[i],
                                                      e_outarray = outarray+m_coeff_offset[i]);
             }
         }

void Nektar::MultiRegions::ExpList::FwdTrans_IterPerExp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

This function elementally evaluates the forward transformation of a function $u(\boldsymbol{x})$ onto the global spectral/hp expansion.

Definition at line 1591 of file ExpList.h.

References v_FwdTrans_IterPerExp().

         {
             v_FwdTrans_IterPerExp(inarray,outarray);
         }

const DNekScalBlkMatSharedPtr Nektar::MultiRegions::ExpList::GenBlockMatrix ( const GlobalMatrixKey & gkey )

protected

This function assembles the block diagonal matrix of local matrices of the type mtype.

This function assembles the block diagonal matrix $\underline{\boldsymbol{M}}^e$ , which is the concatenation of the local matrices $\boldsymbol{M}^e$ of the type mtype, that is

$\underline{\boldsymbol{M}}^e = \left[ \begin{array}{cccc} \boldsymbol{M}^1 & 0 & \hspace{3mm}0 \hspace{3mm}& 0 \\ 0 & \boldsymbol{M}^2 & 0 & 0 \\ 0 & 0 & \ddots & 0 \\ 0 & 0 & 0 & \boldsymbol{M}^{N_{\mathrm{el}}} \end{array}\right].$

Parameters

mtype	the type of matrix to be assembled
scalar	an optional parameter
constant	an optional parameter

Definition at line 676 of file ExpList.cpp.

Referenced by GetBlockMatrix().

         {
             int i,cnt1;
             int n_exp = 0;
             DNekScalMatSharedPtr    loc_mat;
             DNekScalBlkMatSharedPtr BlkMatrix;
             map<int,int> elmt_id;
             LibUtilities::ShapeType ShapeType = gkey.GetShapeType();
 
             if(ShapeType != LibUtilities::eNoShapeType)
             {
                 for(i = 0 ; i < (*m_exp).size(); ++i)
                 {
                     if((*m_exp)[m_offset_elmt_id[i]]->DetShapeType()
                        == ShapeType)
                     {
                         elmt_id[n_exp++] = m_offset_elmt_id[i];
                     }
                 }
             }
             else
             {
                 n_exp = (*m_exp).size();
                 for(i = 0; i < n_exp; ++i)
                 {
                     elmt_id[i] = m_offset_elmt_id[i];
                 }
             }
 
             Array<OneD,unsigned int> nrows(n_exp);
             Array<OneD,unsigned int> ncols(n_exp);
 
             switch(gkey.GetMatrixType())
             {
             case StdRegions::eBwdTrans:
                 {
                     // set up an array of integers for block matrix construction
                     for(i = 0; i < n_exp; ++i)
                     {
                         nrows[i] = (*m_exp)[elmt_id.find(i)->second]->GetTotPoints();
                         ncols[i] = (*m_exp)[elmt_id.find(i)->second]->GetNcoeffs();
                     }
                 }
                 break;
             case StdRegions::eIProductWRTBase:
                 {
                     // set up an array of integers for block matrix construction
                     for(i = 0; i < n_exp; ++i)
                     {
                         nrows[i] = (*m_exp)[elmt_id.find(i)->second]->GetNcoeffs();
                         ncols[i] = (*m_exp)[elmt_id.find(i)->second]->GetTotPoints();
                     }
                 }
                 break;
             case StdRegions::eMass:
             case StdRegions::eInvMass:
             case StdRegions::eHelmholtz:
             case StdRegions::eLaplacian:
             case StdRegions::eInvHybridDGHelmholtz:
                 {
                     // set up an array of integers for block matrix construction
                     for(i = 0; i < n_exp; ++i)
                     {
                         nrows[i] = (*m_exp)[elmt_id.find(i)->second]->GetNcoeffs();
                         ncols[i] = (*m_exp)[elmt_id.find(i)->second]->GetNcoeffs();
                     }
                 }
                 break;
 
             case StdRegions::eHybridDGLamToU:
                 {
                     // set up an array of integers for block matrix construction
                     for(i = 0; i < n_exp; ++i)
                     {
                         nrows[i] = (*m_exp)[elmt_id.find(i)->second]->GetNcoeffs();
                         ncols[i] = (*m_exp)[elmt_id.find(i)->second]->NumDGBndryCoeffs();
                     }
                 }
                 break;
 
             case StdRegions::eHybridDGHelmBndLam:
                 {
                     // set up an array of integers for block matrix construction
                     for(i = 0; i < n_exp; ++i)
                     {
                         nrows[i] = (*m_exp)[elmt_id.find(i)->second]->NumDGBndryCoeffs();
                         ncols[i] = (*m_exp)[elmt_id.find(i)->second]->NumDGBndryCoeffs();
                     }
                 }
                 break;
 
             default:
                 {
                     NEKERROR(ErrorUtil::efatal,
                              "Global Matrix creation not defined for this type "
                              "of matrix");
                 }
             }
 
             MatrixStorage blkmatStorage = eDIAGONAL;
             BlkMatrix = MemoryManager<DNekScalBlkMat>
                 ::AllocateSharedPtr(nrows,ncols,blkmatStorage);
 
             int nvarcoeffs = gkey.GetNVarCoeffs();
             int eid;
             Array<OneD, NekDouble> varcoeffs_wk;
 
             for(i = cnt1 = 0; i < n_exp; ++i)
             {
                 // need to be initialised with zero size for non variable coefficient case
                 StdRegions::VarCoeffMap varcoeffs;
 
                 eid = elmt_id[i];
                 if(nvarcoeffs>0)
                 {
                     StdRegions::VarCoeffMap::const_iterator x;
                     for (x = gkey.GetVarCoeffs().begin(); x != gkey.GetVarCoeffs().end(); ++x)
                     {
                         varcoeffs[x->first] = x->second + m_phys_offset[eid];
                     }
                 }
 
                 LocalRegions::MatrixKey matkey(gkey.GetMatrixType(),
                                                (*m_exp)[eid]->DetShapeType(),
                                                *(*m_exp)[eid],
                                                gkey.GetConstFactors(),
                                                varcoeffs );
 
                 loc_mat = boost::dynamic_pointer_cast<LocalRegions::Expansion>((*m_exp)[elmt_id.find(i)->second])->GetLocMatrix(matkey);
                 BlkMatrix->SetBlock(i,i,loc_mat);
             }
 
             return BlkMatrix;
         }

void Nektar::MultiRegions::ExpList::GeneralGetFieldDefinitions	(	std::vector< LibUtilities::FieldDefinitionsSharedPtr > &	fielddef,
		int	NumHomoDir = `0`,
		Array< OneD, LibUtilities::BasisSharedPtr > &	HomoBasis = `LibUtilities::NullBasisSharedPtr1DArray`,
		std::vector< NekDouble > &	HomoLen = `LibUtilities::NullNekDoubleVector`,
		bool	homoStrips = `false`,
		std::vector< unsigned int > &	HomoSIDs = `LibUtilities::NullUnsignedIntVector`,
		std::vector< unsigned int > &	HomoZIDs = `LibUtilities::NullUnsignedIntVector`,
		std::vector< unsigned int > &	HomoYIDs = `LibUtilities::NullUnsignedIntVector`
	)

Definition at line 1984 of file ExpList.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, ASSERTL1, Nektar::LibUtilities::eHexahedron, Nektar::LibUtilities::eQuadrilateral, Nektar::LibUtilities::eSegment, Nektar::LibUtilities::eTetrahedron, Nektar::LibUtilities::eTriangle, and m_exp.

Referenced by v_GetFieldDefinitions().

         {   
             int startenum = (int) LibUtilities::eSegment;
             int endenum   = (int) LibUtilities::eHexahedron;
             int s         = 0;
             LibUtilities::ShapeType shape;
 
             ASSERTL1(NumHomoDir == HomoBasis.num_elements(),"Homogeneous basis is not the same length as NumHomoDir");
             ASSERTL1(NumHomoDir == HomoLen.size(),"Homogeneous length vector is not the same length as NumHomDir");
 
             // count number of shapes
             switch((*m_exp)[0]->GetShapeDimension())
             {
             case 1:
                 startenum = (int) LibUtilities::eSegment;
                 endenum   = (int) LibUtilities::eSegment;
                 break;
             case 2:
                 startenum = (int) LibUtilities::eTriangle;
                 endenum   = (int) LibUtilities::eQuadrilateral;
                 break;
             case 3:
                 startenum = (int) LibUtilities::eTetrahedron;
                 endenum   = (int) LibUtilities::eHexahedron;
                 break;
             }
 
             for(s = startenum; s <= endenum; ++s)
             {
                 std::vector<unsigned int>             elementIDs;
                 std::vector<LibUtilities::BasisType>  basis;
                 std::vector<unsigned int>             numModes;
                 std::vector<std::string>              fields;
 
                 bool first    = true;
                 bool UniOrder = true;
                 int n;
 
                 shape = (LibUtilities::ShapeType) s;
 
                 for(int i = 0; i < (*m_exp).size(); ++i)
                 {
                     if((*m_exp)[i]->GetGeom()->GetShapeType() == shape)
                     {
                         elementIDs.push_back((*m_exp)[i]->GetGeom()->GetGlobalID());
                         if(first)
                         {
                             for(int j = 0; j < (*m_exp)[i]->GetNumBases(); ++j)
                             {
                                 basis.push_back((*m_exp)[i]->GetBasis(j)->GetBasisType());
                                 numModes.push_back((*m_exp)[i]->GetBasis(j)->GetNumModes());
                             }
 
                             // add homogeneous direction details if defined
                             for(n = 0 ; n < NumHomoDir; ++n)
                             {
                                 basis.push_back(HomoBasis[n]->GetBasisType());
                                 numModes.push_back(HomoBasis[n]->GetNumModes());
                             }
 
                             first = false;
                         }
                         else
                         {
                             ASSERTL0((*m_exp)[i]->GetBasis(0)->GetBasisType() == basis[0],"Routine is not set up for multiple bases definitions");
 
                             for(int j = 0; j < (*m_exp)[i]->GetNumBases(); ++j)
                             {
                                 numModes.push_back((*m_exp)[i]->GetBasis(j)->GetNumModes());
                                 if(numModes[j] != (*m_exp)[i]->GetBasis(j)->GetNumModes())
                                 {
                                     UniOrder = false;
                                 }
                             }
                             // add homogeneous direction details if defined
                             for(n = 0 ; n < NumHomoDir; ++n)
                             {
                                 numModes.push_back(HomoBasis[n]->GetNumModes());
                             }
                         }
                     }
                 }
 
 
                 if(elementIDs.size() > 0)
                 {
                     LibUtilities::FieldDefinitionsSharedPtr fdef  =
                         MemoryManager<LibUtilities::FieldDefinitions>::
                             AllocateSharedPtr(shape, elementIDs, basis,
                                             UniOrder, numModes,fields,
                                             NumHomoDir, HomoLen, homoStrips,
                                             HomoSIDs, HomoZIDs, HomoYIDs);
                     fielddef.push_back(fdef);
                 }
             }
         }

void Nektar::MultiRegions::ExpList::GeneralMatrixOp	(	const GlobalMatrixKey &	gkey,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

This function calculates the result of the multiplication of a matrix of type specified by mkey with a vector given by inarray.

This operation is equivalent to the evaluation of $\underline{\boldsymbol{M}}^e\boldsymbol{\hat{u}}_l$ , that is,

$\left[ \begin{array}{cccc} \boldsymbol{M}^1 & 0 & \hspace{3mm}0 \hspace{3mm}& 0 \\ 0 & \boldsymbol{M}^2 & 0 & 0 \\ 0 & 0 & \ddots & 0 \\ 0 & 0 & 0 & \boldsymbol{M}^{N_{\mathrm{el}}} \end{array} \right] *\left [ \begin{array}{c} \boldsymbol{\hat{u}}^{1} \\ \boldsymbol{\hat{u}}^{2} \\ \vdots \\ \boldsymbol{\hat{u}}^{{{N_{\mathrm{el}}}}} \end{array} \right ]$

where $\boldsymbol{M}^e$ are the local matrices of type specified by the key mkey. The decoupling of the local matrices allows for a local evaluation of the operation. However, rather than a local matrix-vector multiplication, the local operations are evaluated as implemented in the function StdRegions::StdExpansion::GeneralMatrixOp.

Parameters

mkey	This key uniquely defines the type matrix required for the operation.
inarray	The vector $\boldsymbol{\hat{u}}_l$ of size $N_{\mathrm{eof}}$ .
outarray	The resulting vector of size $N_{\mathrm{eof}}$ .

Definition at line 2129 of file ExpList.h.

References v_GeneralMatrixOp().

Referenced by Nektar::MultiRegions::ContField3D::GenerateDirBndCondForcing().

         {
             v_GeneralMatrixOp(gkey,inarray,outarray,coeffstate);
         }

void Nektar::MultiRegions::ExpList::GeneralMatrixOp_IterPerExp	(	const GlobalMatrixKey &	gkey,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

Definition at line 827 of file ExpList.cpp.

References Nektar::MultiRegions::GlobalMatrixKey::GetConstFactors(), Nektar::MultiRegions::GlobalMatrixKey::GetMatrixType(), Nektar::MultiRegions::GlobalMatrixKey::GetNVarCoeffs(), Nektar::MultiRegions::GlobalMatrixKey::GetVarCoeffs(), m_coeff_offset, m_globalOptParam, m_offset_elmt_id, m_phys_offset, and MultiplyByBlockMatrix().

Referenced by Nektar::MultiRegions::ContField3D::v_GeneralMatrixOp(), Nektar::MultiRegions::ContField1D::v_GeneralMatrixOp(), Nektar::MultiRegions::ContField2D::v_GeneralMatrixOp(), and v_GeneralMatrixOp().

         {
             const Array<OneD, const bool>  doBlockMatOp
                         = m_globalOptParam->DoBlockMatOp(gkey.GetMatrixType());
             const Array<OneD, const int> num_elmts
                         = m_globalOptParam->GetShapeNumElements();
 
             Array<OneD,NekDouble> tmp_outarray;
             int cnt = 0;
             int eid;
             for(int n = 0; n < num_elmts.num_elements(); ++n)
             {
                 if(doBlockMatOp[n])
                 {
                     const LibUtilities::ShapeType vType
                                     = m_globalOptParam->GetShapeList()[n];
                     const MultiRegions::GlobalMatrixKey vKey(gkey, vType);
                     if (cnt < m_offset_elmt_id.num_elements())
                     {
                         eid = m_offset_elmt_id[cnt];
                         MultiplyByBlockMatrix(vKey,inarray + m_coeff_offset[eid],
                                               tmp_outarray = outarray + m_coeff_offset[eid]);
                         cnt += num_elmts[n];
                     }
                 }
                 else
                 {
                     int i;
                     int nvarcoeffs = gkey.GetNVarCoeffs();
 
                     for(i= 0; i < num_elmts[n]; ++i)
                     {
                         // need to be initialised with zero size for non variable coefficient case
                         StdRegions::VarCoeffMap varcoeffs;
 
                         eid = m_offset_elmt_id[cnt++];
                         if(nvarcoeffs>0)
                         {
                             StdRegions::VarCoeffMap::const_iterator x;
                             for (x = gkey.GetVarCoeffs().begin(); x != gkey.GetVarCoeffs().end(); ++x)
                             {
                                 varcoeffs[x->first] = x->second + m_phys_offset[eid];
                             }
                         }
 
                         StdRegions::StdMatrixKey mkey(gkey.GetMatrixType(),
                                                       (*m_exp)[eid]->DetShapeType(),
                                                       *((*m_exp)[eid]),
                                                       gkey.GetConstFactors(),varcoeffs);
 
                         (*m_exp)[eid]->GeneralMatrixOp(inarray + m_coeff_offset[eid],
                                                        tmp_outarray = outarray+m_coeff_offset[eid],
                                                        mkey);
                     }
                 }
             }
         }

GlobalLinSysSharedPtr Nektar::MultiRegions::ExpList::GenGlobalBndLinSys	(	const GlobalLinSysKey &	mkey,
		const AssemblyMapSharedPtr &	locToGloMap
	)

protected

Generate a GlobalLinSys from information provided by the key "mkey" and the mapping provided in LocToGloBaseMap.

Definition at line 1192 of file ExpList.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), Nektar::MultiRegions::eSIZE_GlobalSysSolnType, Nektar::MultiRegions::GetGlobalLinSysFactory(), Nektar::MultiRegions::GlobalLinSysKey::GetGlobalSysSolnType(), GetRobinBCInfo(), GetSharedThisPtr(), and Nektar::MultiRegions::GlobalSysSolnTypeMap.

Referenced by Nektar::MultiRegions::DisContField2D::GetGlobalBndLinSys(), Nektar::MultiRegions::DisContField3D::GetGlobalBndLinSys(), and Nektar::MultiRegions::DisContField1D::GetGlobalBndLinSys().

         {
             boost::shared_ptr<ExpList> vExpList = GetSharedThisPtr();
             const map<int,RobinBCInfoSharedPtr> vRobinBCInfo = GetRobinBCInfo();
 
             MultiRegions::GlobalSysSolnType vType = mkey.GetGlobalSysSolnType();
 
             if (vType >= eSIZE_GlobalSysSolnType)
             {
                 ASSERTL0(false,"Matrix solution type not defined");
             }
             std::string vSolnType = MultiRegions::GlobalSysSolnTypeMap[vType];
 
             return GetGlobalLinSysFactory().CreateInstance(vSolnType,mkey,
                                                         vExpList,locToGloMap);
         }

GlobalLinSysSharedPtr Nektar::MultiRegions::ExpList::GenGlobalLinSys	(	const GlobalLinSysKey &	mkey,
		const boost::shared_ptr< AssemblyMapCG > &	locToGloMap
	)

protected

This operation constructs the global linear system of type mkey.

Consider a linear system $\boldsymbol{M\hat{u}}_g=\boldsymbol{f}$ to be solved. Dependent on the solution method, this function constructs

The full linear system
A call to the function #GenGlobalLinSysFullDirect
The statically condensed linear system
A call to the function #GenGlobalLinSysStaticCond

Parameters

mkey	A key which uniquely defines the global matrix to be constructed.
locToGloMap	Contains the mapping array and required information for the transformation from local to global degrees of freedom.

Returns: (A shared pointer to) the global linear system in required format.

Definition at line 1173 of file ExpList.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), Nektar::MultiRegions::eSIZE_GlobalSysSolnType, Nektar::MultiRegions::GetGlobalLinSysFactory(), Nektar::MultiRegions::GlobalLinSysKey::GetGlobalSysSolnType(), GetSharedThisPtr(), and Nektar::MultiRegions::GlobalSysSolnTypeMap.

Referenced by Nektar::MultiRegions::ContField3D::GenGlobalLinSys(), Nektar::MultiRegions::ContField1D::GenGlobalLinSys(), and Nektar::MultiRegions::ContField2D::GenGlobalLinSys().

         {
             GlobalLinSysSharedPtr returnlinsys;
             boost::shared_ptr<ExpList> vExpList = GetSharedThisPtr();
 
             MultiRegions::GlobalSysSolnType vType = mkey.GetGlobalSysSolnType();
 
             if (vType >= eSIZE_GlobalSysSolnType)
             {
                 ASSERTL0(false,"Matrix solution type not defined");
             }
             std::string vSolnType = MultiRegions::GlobalSysSolnTypeMap[vType];
 
             return GetGlobalLinSysFactory().CreateInstance( vSolnType, mkey,
                                                         vExpList,  locToGloMap);
         }

GlobalMatrixSharedPtr Nektar::MultiRegions::ExpList::GenGlobalMatrix	(	const GlobalMatrixKey &	mkey,
		const boost::shared_ptr< AssemblyMapCG > &	locToGloMap
	)

protected

Generates a global matrix from the given key and map.

Retrieves local matrices from each expansion in the expansion list and combines them together to generate a global matrix system.

Parameters

mkey	Matrix key for the matrix to be generated.
locToGloMap	Local to global mapping.

Returns: Shared pointer to the generated global matrix.

Definition at line 895 of file ExpList.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::eBwdTrans, ErrorUtil::efatal, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eMass, Nektar::MultiRegions::GlobalMatrixKey::GetConstFactors(), Nektar::MultiRegions::GlobalMatrixKey::GetMatrixType(), Nektar::MultiRegions::GlobalMatrixKey::GetNVarCoeffs(), Nektar::MultiRegions::GlobalMatrixKey::GetVarCoeffs(), m_npoints, m_offset_elmt_id, m_phys_offset, m_session, and NEKERROR.

Referenced by Nektar::MultiRegions::ContField3D::GetGlobalMatrix(), and Nektar::MultiRegions::ContField2D::GetGlobalMatrix().

         {
             int i,j,n,gid1,gid2,cntdim1,cntdim2;
             NekDouble sign1,sign2;
             DNekScalMatSharedPtr loc_mat;
 
             unsigned int glob_rows;
             unsigned int glob_cols;
             unsigned int loc_rows;
             unsigned int loc_cols;
 
             bool assembleFirstDim;
             bool assembleSecondDim;
 
             switch(mkey.GetMatrixType())
             {
             case StdRegions::eBwdTrans:
                 {
                     glob_rows = m_npoints;
                     glob_cols = locToGloMap->GetNumGlobalCoeffs();
 
                     assembleFirstDim  = false;
                     assembleSecondDim = true;
                 }
                 break;
             case StdRegions::eIProductWRTBase:
                 {
                     glob_rows = locToGloMap->GetNumGlobalCoeffs();
                     glob_cols = m_npoints;
 
                     assembleFirstDim  = true;
                     assembleSecondDim = false;
                 }
                 break;
             case StdRegions::eMass:
             case StdRegions::eHelmholtz:
             case StdRegions::eLaplacian:
             case StdRegions::eHybridDGHelmBndLam:
                 {
                     glob_rows = locToGloMap->GetNumGlobalCoeffs();
                     glob_cols = locToGloMap->GetNumGlobalCoeffs();
 
                     assembleFirstDim  = true;
                     assembleSecondDim = true;
                 }
                 break;
             default:
                 {
                     NEKERROR(ErrorUtil::efatal,
                              "Global Matrix creation not defined for this type "
                              "of matrix");
                 }
             }
 
             COOMatType spcoomat;
             CoordType  coord;
 
             int nvarcoeffs = mkey.GetNVarCoeffs();
             int eid;
 
             // fill global matrix
             for(n = cntdim1 = cntdim2 = 0; n < (*m_exp).size(); ++n)
             {
                 // need to be initialised with zero size for non variable coefficient case
                 StdRegions::VarCoeffMap varcoeffs;
 
                 eid = m_offset_elmt_id[n];
                 if(nvarcoeffs>0)
                 {
                     StdRegions::VarCoeffMap::const_iterator x;
                     for (x = mkey.GetVarCoeffs().begin(); x != mkey.GetVarCoeffs().end(); ++x)
                     {
                         varcoeffs[x->first] = x->second + m_phys_offset[eid];
                     }
                 }
 
                 LocalRegions::MatrixKey matkey(mkey.GetMatrixType(),
                                               (*m_exp)[eid]->DetShapeType(),
                                               *((*m_exp)[eid]),
                                               mkey.GetConstFactors(),varcoeffs);
 
                 loc_mat = boost::dynamic_pointer_cast<LocalRegions::Expansion>((*m_exp)[m_offset_elmt_id[n]])->GetLocMatrix(matkey);
 
                 loc_rows = loc_mat->GetRows();
                 loc_cols = loc_mat->GetColumns();
 
                 for(i = 0; i < loc_rows; ++i)
                 {
                     if(assembleFirstDim)
                     {
                         gid1  = locToGloMap->GetLocalToGlobalMap (cntdim1 + i);
                         sign1 = locToGloMap->GetLocalToGlobalSign(cntdim1 + i);
                     }
                     else
                     {
                         gid1  = cntdim1 + i;
                         sign1 = 1.0;
                     }
 
                     for(j = 0; j < loc_cols; ++j)
                     {
                         if(assembleSecondDim)
                         {
                             gid2  = locToGloMap
                                 ->GetLocalToGlobalMap(cntdim2 + j);
                             sign2 = locToGloMap
                                 ->GetLocalToGlobalSign(cntdim2 + j);
                         }
                         else
                         {
                             gid2  = cntdim2 + j;
                             sign2 = 1.0;
                         }
 
                         // sparse matrix fill
                         coord = make_pair(gid1,gid2);
                         if( spcoomat.count(coord) == 0 )
                         {
                             spcoomat[coord] = sign1*sign2*(*loc_mat)(i,j);
                         }
                         else
                         {
                             spcoomat[coord] += sign1*sign2*(*loc_mat)(i,j);
                         }
                     }
                 }
                 cntdim1 += loc_rows;
                 cntdim2 += loc_cols;
             }
 
             return MemoryManager<GlobalMatrix>
                 ::AllocateSharedPtr(m_session,glob_rows,glob_cols,spcoomat);
         }

DNekMatSharedPtr Nektar::MultiRegions::ExpList::GenGlobalMatrixFull	(	const GlobalLinSysKey &	mkey,
		const boost::shared_ptr< AssemblyMapCG > &	locToGloMap
	)

protected

Definition at line 1032 of file ExpList.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::eFULL, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eLaplacian, Nektar::ePOSITIVE_DEFINITE_SYMMETRIC, Nektar::ePOSITIVE_DEFINITE_SYMMETRIC_BANDED, Nektar::MultiRegions::GlobalMatrixKey::GetConstFactors(), Nektar::MultiRegions::GlobalMatrixKey::GetMatrixType(), Nektar::MultiRegions::GlobalMatrixKey::GetNVarCoeffs(), GetRobinBCInfo(), Nektar::MultiRegions::GlobalMatrixKey::GetVarCoeffs(), m_coeff_offset, m_offset_elmt_id, and m_phys_offset.

Referenced by Nektar::MultiRegions::ContField2D::LinearAdvectionEigs().

         {
             int i,j,n,gid1,gid2,loc_lda,eid;
             NekDouble sign1,sign2,value;
             DNekScalMatSharedPtr loc_mat;
 
             int totDofs     = locToGloMap->GetNumGlobalCoeffs();
             int NumDirBCs   = locToGloMap->GetNumGlobalDirBndCoeffs();
 
             unsigned int rows = totDofs - NumDirBCs;
             unsigned int cols = totDofs - NumDirBCs;
             NekDouble zero = 0.0;
 
             DNekMatSharedPtr Gmat;
             int bwidth = locToGloMap->GetFullSystemBandWidth();
 
             int nvarcoeffs = mkey.GetNVarCoeffs();
             MatrixStorage matStorage;
 
             map<int, RobinBCInfoSharedPtr> RobinBCInfo = GetRobinBCInfo();
 
             switch(mkey.GetMatrixType())
             {
                 // case for all symmetric matices
             case StdRegions::eHelmholtz:
             case StdRegions::eLaplacian:
                 if( (2*(bwidth+1)) < rows)
                 {
                     matStorage = ePOSITIVE_DEFINITE_SYMMETRIC_BANDED;
                     Gmat = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols,zero,matStorage,bwidth,bwidth);
                 }
                 else
                 {
                     matStorage = ePOSITIVE_DEFINITE_SYMMETRIC;
                     Gmat = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols,zero,matStorage);
                 }
 
                 break;
             default: // Assume general matrix - currently only set up for full invert
                 {
                     matStorage = eFULL;
                     Gmat = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols,zero,matStorage);
                 }
             }
 
             // fill global symmetric matrix
             for(n = 0; n < (*m_exp).size(); ++n)
             {
                 // need to be initialised with zero size for non variable coefficient case
                 StdRegions::VarCoeffMap varcoeffs;
 
                 eid = m_offset_elmt_id[n];
                 if(nvarcoeffs>0)
                 {
                     StdRegions::VarCoeffMap::const_iterator x;
                     for (x = mkey.GetVarCoeffs().begin(); x != mkey.GetVarCoeffs().end(); ++x)
                     {
                         varcoeffs[x->first] = x->second + m_phys_offset[eid];
                     }
                 }
 
                 LocalRegions::MatrixKey matkey(mkey.GetMatrixType(),
                                               (*m_exp)[eid]->DetShapeType(),
                                               *((*m_exp)[eid]),
                                               mkey.GetConstFactors(),varcoeffs);
 
                 loc_mat = boost::dynamic_pointer_cast<LocalRegions::Expansion>((*m_exp)[n])->GetLocMatrix(matkey);
 
 
                 if(RobinBCInfo.count(n) != 0) // add robin mass matrix
                 {
                     RobinBCInfoSharedPtr rBC;
 
                     // declare local matrix from scaled matrix.
                     int rows = loc_mat->GetRows();
                     int cols = loc_mat->GetColumns();
                     const NekDouble *dat = loc_mat->GetRawPtr();
                     DNekMatSharedPtr new_mat = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols,dat);
                     Blas::Dscal(rows*cols,loc_mat->Scale(),new_mat->GetRawPtr(),1);
 
                     // add local matrix contribution
                     for(rBC = RobinBCInfo.find(n)->second;rBC; rBC = rBC->next)
                     {
                         (*m_exp)[n]->AddRobinMassMatrix(rBC->m_robinID,rBC->m_robinPrimitiveCoeffs,new_mat);
                     }
 
                     NekDouble one = 1.0;
                     // redeclare loc_mat to point to new_mat plus the scalar.
                     loc_mat = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,new_mat);
                 }
 
                 loc_lda = loc_mat->GetColumns();
 
                 for(i = 0; i < loc_lda; ++i)
                 {
                     gid1 = locToGloMap->GetLocalToGlobalMap(m_coeff_offset[n] + i) - NumDirBCs;
                     sign1 =  locToGloMap->GetLocalToGlobalSign(m_coeff_offset[n] + i);
                     if(gid1 >= 0)
                     {
                         for(j = 0; j < loc_lda; ++j)
                         {
                             gid2 = locToGloMap->GetLocalToGlobalMap(m_coeff_offset[n] + j) - NumDirBCs;
                             sign2 = locToGloMap->GetLocalToGlobalSign(m_coeff_offset[n] + j);
                             if(gid2 >= 0)
                             {
                                 // When global matrix is symmetric,
                                 // only add the value for the upper
                                 // triangular part in order to avoid
                                 // entries to be entered twice
                                 if((matStorage == eFULL)||(gid2 >= gid1))
                                 {
                                     value = Gmat->GetValue(gid1,gid2) + sign1*sign2*(*loc_mat)(i,j);
                                     Gmat->SetValue(gid1,gid2,value);
                                 }
                             }
                         }
                     }
                 }
             }
 
             return Gmat;
         }

int Nektar::MultiRegions::ExpList::Get1DScaledTotPoints ( const NekDouble scale ) const

inline

Returns the total number of qudature points scaled by the factor scale on each 1D direction.

Definition at line 1464 of file ExpList.h.

References m_exp.

         {
             int returnval = 0;
             int cnt;
             int nbase = (*m_exp)[0]->GetNumBases();
             
             for(int i = 0; i < (*m_exp).size(); ++i)
             {
                 cnt = 1;
                 for(int j = 0; j < nbase; ++j)
                 {
                     cnt *= (int)(scale*((*m_exp)[i]->GetNumPoints(j)));
                 }
                 returnval += cnt;
             }
             return returnval;
         }

void Nektar::MultiRegions::ExpList::GetBCValues	(	Array< OneD, NekDouble > &	BndVals,
		const Array< OneD, NekDouble > &	TotField,
		int	BndID
	)

inline

Definition at line 1763 of file ExpList.h.

References v_GetBCValues().

         {
             v_GetBCValues(BndVals,TotField,BndID);
         }

const DNekScalBlkMatSharedPtr & Nektar::MultiRegions::ExpList::GetBlockMatrix ( const GlobalMatrixKey & gkey )

protected

Definition at line 812 of file ExpList.cpp.

References GenBlockMatrix(), Nektar::iterator, and m_blockMat.

Referenced by MultiplyByBlockMatrix(), MultiplyByElmtInvMass(), Nektar::MultiRegions::DisContField3D::v_GeneralMatrixOp(), Nektar::MultiRegions::DisContField2D::v_GeneralMatrixOp(), Nektar::MultiRegions::DisContField3D::v_HelmSolve(), Nektar::MultiRegions::DisContField2D::v_HelmSolve(), and Nektar::MultiRegions::DisContField1D::v_HelmSolve().

         {
             BlockMatrixMap::iterator matrixIter = m_blockMat->find(gkey);
 
             if(matrixIter == m_blockMat->end())
             {
                 return ((*m_blockMat)[gkey] = GenBlockMatrix(gkey));
             }
             else
             {
                 return matrixIter->second;
             }
         }

const Array< OneD, const boost::shared_ptr< ExpList > > & Nektar::MultiRegions::ExpList::GetBndCondExpansions ( )

inline

Definition at line 1973 of file ExpList.h.

References v_GetBndCondExpansions().

Referenced by v_ExtractElmtToBndPhys(), v_ExtractPhysToBndElmt(), and v_GetBoundaryNormals().

         {
             return v_GetBndCondExpansions();
         }

const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > & Nektar::MultiRegions::ExpList::GetBndConditions ( )

inline

Definition at line 2079 of file ExpList.h.

References v_GetBndConditions().

         {
             return v_GetBndConditions();
         }

void Nektar::MultiRegions::ExpList::GetBndElmtExpansion	(	int	i,
		boost::shared_ptr< ExpList > &	result
	)

inline

Definition at line 2150 of file ExpList.h.

References v_GetBndElmtExpansion().

         {
             v_GetBndElmtExpansion(i, result);
         }

SpatialDomains::BoundaryConditionShPtr Nektar::MultiRegions::ExpList::GetBoundaryCondition	(	const SpatialDomains::BoundaryConditionCollection &	collection,
		unsigned int	index,
		const std::string &	variable
	)

staticprotected

Definition at line 2858 of file ExpList.cpp.

References ASSERTL1.

         {
             SpatialDomains::BoundaryConditionCollection::const_iterator collectionIter = collection.find(regionId);
             ASSERTL1(collectionIter != collection.end(), "Unable to locate collection "+boost::lexical_cast<string>(regionId));
             const SpatialDomains::BoundaryConditionMapShPtr boundaryConditionMap = (*collectionIter).second;
             SpatialDomains::BoundaryConditionMap::const_iterator conditionMapIter = boundaryConditionMap->find(variable);
             ASSERTL1(conditionMapIter != boundaryConditionMap->end(), "Unable to locate condition map.");
             const SpatialDomains::BoundaryConditionShPtr boundaryCondition = (*conditionMapIter).second;
             return boundaryCondition;
         }

void Nektar::MultiRegions::ExpList::GetBoundaryNormals	(	int	i,
		Array< OneD, Array< OneD, NekDouble > > &	normals
	)

inline

Definition at line 2170 of file ExpList.h.

References v_GetBoundaryNormals().

         {
             v_GetBoundaryNormals(i, normals);
         }

void Nektar::MultiRegions::ExpList::GetBoundaryToElmtMap	(	Array< OneD, int > &	ElmtID,
		Array< OneD, int > &	EdgeID
	)

inline

Definition at line 2144 of file ExpList.h.

References v_GetBoundaryToElmtMap().

         {
             v_GetBoundaryToElmtMap(ElmtID,EdgeID);
         }

NekDouble Nektar::MultiRegions::ExpList::GetCoeff ( int i )

inline

Get the i th value (coefficient) of m_coeffs.

Parameters

i	The index of m_coeffs to be returned

Returns: The NekDouble held in m_coeffs[i].

Definition at line 1865 of file ExpList.h.

References m_coeffs.

Referenced by Nektar::MultiRegions::DisContField1D::v_EvaluateBoundaryConditions().

         {
             return m_coeffs[i];
         }

int Nektar::MultiRegions::ExpList::GetCoeff_Offset ( int n ) const

inline

Get the start offset position for a global list of m_coeffs correspoinding to element n.

Definition at line 1926 of file ExpList.h.

References m_coeff_offset.

         {
             return m_coeff_offset[n];
         }

const Array< OneD, const NekDouble > & Nektar::MultiRegions::ExpList::GetCoeffs ( void ) const

inline

This function returns (a reference to) the array $\boldsymbol{\hat{u}}_l$ (implemented as m_coeffs) containing all local expansion coefficients.

As the function returns a constant reference to a const Array, it is not possible to modify the underlying data of the array m_coeffs. In order to do so, use the function UpdateCoeffs instead.

Returns: (A constant reference to) the array m_coeffs.

Definition at line 1834 of file ExpList.h.

References m_coeffs.

         {
             return m_coeffs;
         }

NekDouble Nektar::MultiRegions::ExpList::GetCoeffs ( int i )

inline

Get the i th value (coefficient) of m_coeffs.

Parameters

i	The index of m_coeffs to be returned

Returns: The NekDouble held in m_coeffs[i].

Definition at line 1874 of file ExpList.h.

References m_coeffs.

         {
             return m_coeffs[i];
         }

boost::shared_ptr<LibUtilities::Comm> Nektar::MultiRegions::ExpList::GetComm ( )

inline

Returns the comm object.

Definition at line 871 of file ExpList.h.

References m_comm.

             {
                 return m_comm;
             }

int Nektar::MultiRegions::ExpList::GetCoordim ( int eid )

inline

This function returns the dimension of the coordinates of the element eid.

Parameters

eid	The index of the element to be checked.

Returns: The dimension of the coordinates of the specific element.

Definition at line 1794 of file ExpList.h.

References ASSERTL2, and m_exp.

         {
             ASSERTL2(eid <= (*m_exp).size(),
                      "eid is larger than number of elements");
             return (*m_exp)[eid]->GetCoordim();
         }

void Nektar::MultiRegions::ExpList::GetCoords	(	Array< OneD, NekDouble > &	coord_0,
		Array< OneD, NekDouble > &	coord_1 = `NullNekDouble1DArray`,
		Array< OneD, NekDouble > &	coord_2 = `NullNekDouble1DArray`
	)

inline

This function calculates the coordinates of all the elemental quadrature points $\boldsymbol{x}_i$ .

Definition at line 1684 of file ExpList.h.

References v_GetCoords().

Referenced by v_WriteTecplotZone().

         {
             v_GetCoords(coord_0,coord_1,coord_2);
         }

const boost::shared_ptr< LocalRegions::ExpansionVector > Nektar::MultiRegions::ExpList::GetExp ( void ) const

inline

This function returns the vector of elements in the expansion.

Returns: (A const shared pointer to) the local expansion vector m_exp

Definition at line 1917 of file ExpList.h.

References m_exp.

         {
             return m_exp;
         }

LocalRegions::ExpansionSharedPtr & Nektar::MultiRegions::ExpList::GetExp ( int n ) const

inline

This function returns (a shared pointer to) the local elemental expansion of the $n^{\mathrm{th}}$ element.

Parameters

n	The index of the element concerned.

Returns: (A shared pointer to) the local expansion of the $n^{\mathrm{th}}$ element.

Definition at line 1908 of file ExpList.h.

References m_exp.

         {
             return (*m_exp)[n];
         }

LocalRegions::ExpansionSharedPtr & Nektar::MultiRegions::ExpList::GetExp ( const Array< OneD, const NekDouble > & gloCoord )

This function returns (a shared pointer to) the local elemental expansion containing the arbitrary point given by gloCoord.

Definition at line 1241 of file ExpList.cpp.

References ASSERTL0, GetCoordim(), and m_exp.

         {
             Array<OneD, NekDouble> stdCoord(GetCoordim(0),0.0);
             for (int i = 0; i < (*m_exp).size(); ++i)
             {
                 if ((*m_exp)[i]->GetGeom()->ContainsPoint(gloCoord))
                 {
                     return (*m_exp)[i];
                 }
             }
             ASSERTL0(false, "Cannot find element for this point.");
             return (*m_exp)[0]; // avoid warnings
         }

int Nektar::MultiRegions::ExpList::GetExpIndex	(	const Array< OneD, const NekDouble > &	gloCoord,
		NekDouble	tol = `0.0`,
		bool	returnNearestElmt = `false`
	)

This function returns the index of the local elemental expansion containing the arbitrary point given by gloCoord.

Todo:: need a smarter search here that first just looks at bounding vertices - suggest first seeing if point is within 10% of region defined by vertices. The do point search.

Definition at line 1262 of file ExpList.cpp.

         {
             Array<OneD, NekDouble> Lcoords(gloCoord.num_elements());
 
             return GetExpIndex(gloCoord,Lcoords,tol,returnNearestElmt);
         }

int Nektar::MultiRegions::ExpList::GetExpIndex	(	const Array< OneD, const NekDouble > &	gloCoords,
		Array< OneD, NekDouble > &	locCoords,
		NekDouble	tol = `0.0`,
		bool	returnNearestElmt = `false`
	)

This function returns the index and the Local Cartesian Coordinates locCoords of the local elemental expansion containing the arbitrary point given by gloCoords.

Definition at line 1273 of file ExpList.cpp.

References GetCoordim(), GetExp(), GetNumElmts(), m_exp, m_graph, Nektar::NekPoint< data_type >::SetX(), Nektar::NekPoint< data_type >::SetY(), Nektar::NekPoint< data_type >::SetZ(), Vmath::Vcopy(), and WARNINGL1.

         {
             NekDouble nearpt = 1e6;
 
             if (GetNumElmts() == 0)
             {
                 return -1;
             }
             std::vector<std::pair<int,NekDouble> > elmtIdDist;
 
             // Manifold case (point may match multiple elements)
             if (GetExp(0)->GetCoordim() > GetExp(0)->GetShapeDimension())
             {
                 SpatialDomains::PointGeomSharedPtr v;
                 SpatialDomains::PointGeom w;
                 NekDouble dist = 0.0;
 
                 // Scan all elements and store those which may contain the point
                 for (int i = 0; i < (*m_exp).size(); ++i)
                 {
                     if ((*m_exp)[i]->GetGeom()->ContainsPoint(gloCoords,
                                                               locCoords,
                                                               tol, nearpt))
                     {
                         w.SetX(gloCoords[0]);
                         w.SetY(gloCoords[1]);
                         w.SetZ(gloCoords[2]);
 
                         // Find closest vertex
                         for (int j = 0; j < (*m_exp)[i]->GetNverts(); ++j) {
                             v = m_graph->GetVertex(
                                             (*m_exp)[i]->GetGeom()->GetVid(j));
                             if (j == 0 || dist > v->dist(w))
                             {
                                 dist = v->dist(w);
                             }
                         }
                         elmtIdDist.push_back(
                                     std::pair<int, NekDouble>(i, dist));
                     }
                 }
 
                 // Find nearest element
                 if (!elmtIdDist.empty())
                 {
                     int         min_id = elmtIdDist[0].first;
                     NekDouble   min_d  = elmtIdDist[0].second;
 
                     for (int i = 1; i < elmtIdDist.size(); ++i)
                     {
                         if (elmtIdDist[i].second < min_d) {
                             min_id = elmtIdDist[i].first;
                             min_d = elmtIdDist[i].second;
                         }
                     }
 
                     // retrieve local coordinate of point
                     (*m_exp)[min_id]->GetGeom()->GetLocCoords(gloCoords,
                                                               locCoords);
                     return min_id;
                 }
                 else
                 {
                     return -1;
                 }
             }
             // non-embedded mesh (point can only match one element)
             else
             {
                 static int start = 0;
                 int min_id  = 0;
                 NekDouble nearpt_min = 1e6;
                 Array<OneD, NekDouble> savLocCoords(locCoords.num_elements());
 
                 // restart search from last found value
                 for (int i = start; i < (*m_exp).size(); ++i)
                 {
                     if ((*m_exp)[i]->GetGeom()->ContainsPoint(gloCoords, 
                                                               locCoords,
                                                               tol, nearpt))
                     {
                         start = i;
                         return i;
                     }
                     else
                     {
                         if(nearpt < nearpt_min)
                         {
                             min_id    = i;
                             nearpt_min = nearpt;
                             Vmath::Vcopy(locCoords.num_elements(),locCoords,1,savLocCoords,1);
                         }
                     }
                 }
 
                 for (int i = 0; i < start; ++i)
                 {
                     if ((*m_exp)[i]->GetGeom()->ContainsPoint(gloCoords, 
                                                               locCoords,
                                                               tol, nearpt))
                     {
                         start = i;
                         return i;
                     }
                     else
                     {
                         if(nearpt < nearpt_min)
                         {
                             min_id    = i;
                             nearpt_min = nearpt;
                             Vmath::Vcopy(locCoords.num_elements(),
                                          locCoords,1,savLocCoords,1);
                         }
                     }
                 }
 
                 if(returnNearestElmt)
                 {
 
                     std::string msg = "Failed to find point within element to tolerance of "
                         + boost::lexical_cast<std::string>(tol)
                         + " using local point ("
                         + boost::lexical_cast<std::string>(locCoords[0]) +","
                         + boost::lexical_cast<std::string>(locCoords[1]) +","
                         + boost::lexical_cast<std::string>(locCoords[1]) 
                         + ") in element: "
                         + boost::lexical_cast<std::string>(min_id);
                     WARNINGL1(false,msg.c_str());
                     
                     Vmath::Vcopy(locCoords.num_elements(),savLocCoords,1,locCoords,1);
                     return min_id;
                 }
                 else
                 {
                     return -1;
                 }
 
             }
         }

int Nektar::MultiRegions::ExpList::GetExpSize ( void )

inline

This function returns the number of elements in the expansion.

Returns: $N_{\mathrm{el}}$ , the number of elements in the expansion.

Definition at line 1896 of file ExpList.h.

         {
             return (*m_exp).size();
         }

ExpansionType Nektar::MultiRegions::ExpList::GetExpType ( void )

Returns the type of the expansion.

Definition at line 243 of file ExpList.cpp.

References m_expType.

         {
             return m_expType;
         }

std::vector<LibUtilities::FieldDefinitionsSharedPtr> Nektar::MultiRegions::ExpList::GetFieldDefinitions ( )

inline

Definition at line 794 of file ExpList.h.

References v_GetFieldDefinitions().

             {
                 return v_GetFieldDefinitions();
             }

void Nektar::MultiRegions::ExpList::GetFieldDefinitions ( std::vector< LibUtilities::FieldDefinitionsSharedPtr > & fielddef )

inline

Definition at line 800 of file ExpList.h.

References v_GetFieldDefinitions().

             {
                 v_GetFieldDefinitions(fielddef);
             }

void Nektar::MultiRegions::ExpList::GetFwdBwdTracePhys	(	Array< OneD, NekDouble > &	Fwd,
		Array< OneD, NekDouble > &	Bwd
	)

inline

Definition at line 2045 of file ExpList.h.

References v_GetFwdBwdTracePhys().

         {
             v_GetFwdBwdTracePhys(Fwd,Bwd);
         }

void Nektar::MultiRegions::ExpList::GetFwdBwdTracePhys	(	const Array< OneD, const NekDouble > &	field,
		Array< OneD, NekDouble > &	Fwd,
		Array< OneD, NekDouble > &	Bwd
	)

inline

Definition at line 2052 of file ExpList.h.

References v_GetFwdBwdTracePhys().

         {
             v_GetFwdBwdTracePhys(field,Fwd,Bwd);
         }

const NekOptimize::GlobalOptParamSharedPtr& Nektar::MultiRegions::ExpList::GetGlobalOptParam ( void )

inline

Definition at line 775 of file ExpList.h.

References m_globalOptParam.

             {
                 return m_globalOptParam;
             }

SpatialDomains::MeshGraphSharedPtr Nektar::MultiRegions::ExpList::GetGraph ( )

inline

Definition at line 876 of file ExpList.h.

References m_graph.

             {
                 return m_graph;
             }

LibUtilities::BasisSharedPtr Nektar::MultiRegions::ExpList::GetHomogeneousBasis ( void )

inline

Definition at line 882 of file ExpList.h.

References v_GetHomogeneousBasis().

             {
                 return v_GetHomogeneousBasis();
             }

NekDouble Nektar::MultiRegions::ExpList::GetHomoLen ( void )

inline

This function returns the Width of homogeneous direction associaed with the homogeneous expansion.

Definition at line 527 of file ExpList.h.

References v_GetHomoLen().

             {
                 return v_GetHomoLen();
             }

const vector< bool > & Nektar::MultiRegions::ExpList::GetLeftAdjacentFaces ( void ) const

inline

Definition at line 2060 of file ExpList.h.

References v_GetLeftAdjacentFaces().

         {
             return v_GetLeftAdjacentFaces();
         }

int Nektar::MultiRegions::ExpList::GetNcoeffs ( void ) const

inline

Returns the total number of local degrees of freedom $N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_m$ .

Definition at line 1403 of file ExpList.h.

References m_ncoeffs.

         {
             return m_ncoeffs;
         }

int Nektar::MultiRegions::ExpList::GetNcoeffs ( const int eid ) const

inline

Returns the total number of local degrees of freedom for element eid.

Definition at line 1408 of file ExpList.h.

References m_exp.

         {
             return (*m_exp)[eid]->GetNcoeffs();
         }

void Nektar::MultiRegions::ExpList::GetNormals ( Array< OneD, Array< OneD, NekDouble > > & normals )

inline

Definition at line 2016 of file ExpList.h.

References v_GetNormals().

         {
             v_GetNormals(normals);
         }

int Nektar::MultiRegions::ExpList::GetNpoints ( void ) const

inline

Returns the total number of quadrature points m_npoints $=Q_{\mathrm{tot}}$ .

Definition at line 1485 of file ExpList.h.

References m_npoints.

         {
             return m_npoints;
         }

int Nektar::MultiRegions::ExpList::GetNumElmts ( void )

inline

This function returns the number of elements in the expansion which may be different for a homogeoenous extended expansionp.

Definition at line 572 of file ExpList.h.

References v_GetNumElmts().

Referenced by GetExpIndex(), v_GetCoords(), and v_WriteTecplotHeader().

             {
                 return v_GetNumElmts();
             }

int Nektar::MultiRegions::ExpList::GetOffset_Elmt_Id ( int n ) const

inline

Get the element id associated with the n th consecutive block of data in m_phys and m_coeffs.

Definition at line 1942 of file ExpList.h.

References m_offset_elmt_id.

Referenced by Nektar::MultiRegions::AssemblyMapCG::AssemblyMapCG(), Nektar::MultiRegions::AssemblyMapDG::AssemblyMapDG(), Nektar::MultiRegions::AssemblyMapCG::CreateGraph(), and Nektar::MultiRegions::AssemblyMapDG::SetUpUniversalDGMap().

         {
             return m_offset_elmt_id[n];
         }

void Nektar::MultiRegions::ExpList::GetPeriodicEntities	(	PeriodicMap &	periodicVerts,
		PeriodicMap &	periodicEdges,
		PeriodicMap &	periodicFaces = `NullPeriodicMap`
	)

inline

Definition at line 785 of file ExpList.h.

References v_GetPeriodicEntities().

             {
                 v_GetPeriodicEntities(periodicVerts, periodicEdges, periodicFaces);
             }

const Array< OneD, const NekDouble > & Nektar::MultiRegions::ExpList::GetPhys ( void ) const

inline

This function returns (a reference to) the array $\boldsymbol{u}_l$ (implemented as m_phys) containing the function $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points.

As the function returns a constant reference to a const Array it is not possible to modify the underlying data of the array m_phys. In order to do so, use the function UpdatePhys instead.

Returns: (A constant reference to) the array m_phys.

Definition at line 1887 of file ExpList.h.

References m_phys.

Referenced by Nektar::MultiRegions::DisContField3DHomogeneous2D::v_GetBndElmtExpansion(), Nektar::MultiRegions::DisContField3DHomogeneous1D::v_GetBndElmtExpansion(), Nektar::MultiRegions::DisContField3D::v_GetBndElmtExpansion(), Nektar::MultiRegions::DisContField2D::v_GetBndElmtExpansion(), Nektar::MultiRegions::DisContField1D::v_GetBndElmtExpansion(), Nektar::MultiRegions::DisContField3D::v_GetFwdBwdTracePhys(), Nektar::MultiRegions::DisContField1D::v_GetFwdBwdTracePhys(), and Nektar::MultiRegions::DisContField2D::v_GetFwdBwdTracePhys().

         {
             return m_phys;
         }

int Nektar::MultiRegions::ExpList::GetPhys_Offset ( int n ) const

inline

Get the start offset position for a global list of m_phys correspoinding to element n.

Definition at line 1934 of file ExpList.h.

References m_phys_offset.

         {
             return m_phys_offset[n];
         }

bool Nektar::MultiRegions::ExpList::GetPhysState ( void ) const

inline

This function indicates whether the array of physical values $\boldsymbol{u}_l$ (implemented as m_phys) is filled or not.

Returns: physState true (=filled) or false (=not filled).

Definition at line 1551 of file ExpList.h.

References m_physState.

         {
             return m_physState;
         }

boost::shared_ptr<ExpList>& Nektar::MultiRegions::ExpList::GetPlane ( int n )

inline

Definition at line 887 of file ExpList.h.

References v_GetPlane().

             {
                 return v_GetPlane(n);
             }

map<int, RobinBCInfoSharedPtr> Nektar::MultiRegions::ExpList::GetRobinBCInfo ( )

inline

Definition at line 780 of file ExpList.h.

References v_GetRobinBCInfo().

Referenced by GenGlobalBndLinSys(), and GenGlobalMatrixFull().

             {
                 return v_GetRobinBCInfo();
             }

boost::shared_ptr<LibUtilities::SessionReader> Nektar::MultiRegions::ExpList::GetSession ( )

inline

Returns the session object.

Definition at line 865 of file ExpList.h.

References m_session.

             {
                 return m_session;
             }

boost::shared_ptr<ExpList> Nektar::MultiRegions::ExpList::GetSharedThisPtr ( )

inline

Returns a shared pointer to the current object.

Definition at line 859 of file ExpList.h.

Referenced by GenGlobalBndLinSys(), and GenGlobalLinSys().

             {
                 return shared_from_this();
             }

int Nektar::MultiRegions::ExpList::GetTotPoints ( void ) const

inline

Returns the total number of quadrature points m_npoints $=Q_{\mathrm{tot}}$ .

Definition at line 1453 of file ExpList.h.

References m_npoints.

Referenced by Nektar::MultiRegions::ExpList2DHomogeneous1D::GetCoords(), Nektar::MultiRegions::ExpList3DHomogeneous2D::GetCoords(), Nektar::MultiRegions::ExpList3DHomogeneous1D::GetCoords(), Nektar::MultiRegions::ExpList3DHomogeneous1D::v_HomogeneousEnergy(), Nektar::MultiRegions::ExpList3DHomogeneous2D::v_L2(), v_WriteTecplotField(), and v_WriteTecplotZone().

         {
             return m_npoints;
         }

int Nektar::MultiRegions::ExpList::GetTotPoints ( const int eid ) const

inline

Returns the total number of quadrature points for eid's element $=Q_{\mathrm{tot}}$ .

Definition at line 1458 of file ExpList.h.

References m_exp.

         {
             return (*m_exp)[eid]->GetTotPoints();
         }

boost::shared_ptr< ExpList > & Nektar::MultiRegions::ExpList::GetTrace ( )

inline

Return a reference to the trace space associated with this expansion list.

Definition at line 2001 of file ExpList.h.

References v_GetTrace().

Referenced by Nektar::MultiRegions::DisContField2D::v_AddFwdBwdTraceIntegral(), Nektar::MultiRegions::DisContField1D::v_AddTraceIntegral(), and Nektar::MultiRegions::DisContField2D::v_AddTraceIntegral().

         {
             return v_GetTrace();
         }

const Array< OneD, const int > & Nektar::MultiRegions::ExpList::GetTraceBndMap ( void )

inline

Definition at line 2011 of file ExpList.h.

References v_GetTraceBndMap().

         {
             return v_GetTraceBndMap();
         }

boost::shared_ptr< AssemblyMapDG > & Nektar::MultiRegions::ExpList::GetTraceMap ( void )

inline

Definition at line 2006 of file ExpList.h.

References v_GetTraceMap().

Referenced by v_GetTraceBndMap().

         {
             return v_GetTraceMap();
         }

LibUtilities::TranspositionSharedPtr Nektar::MultiRegions::ExpList::GetTransposition ( void )

inline

This function returns the transposition class associaed with the homogeneous expansion.

Definition at line 520 of file ExpList.h.

References v_GetTransposition().

             {
                 return v_GetTransposition();
             }

bool Nektar::MultiRegions::ExpList::GetWaveSpace ( void ) const

inline

This function returns the third direction expansion condition, which can be in wave space (coefficient) or not It is stored in the variable m_WaveSpace.

Definition at line 1502 of file ExpList.h.

References m_WaveSpace.

Referenced by Nektar::MultiRegions::DisContField3DHomogeneous1D::v_GetBndElmtExpansion().

         {
             return m_WaveSpace;
         }

Array<OneD, const unsigned int> Nektar::MultiRegions::ExpList::GetYIDs ( void )

inline

This function returns a vector containing the wave numbers in y-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction.

Definition at line 536 of file ExpList.h.

References v_GetYIDs().

             {
                 return v_GetYIDs();
             }

Array<OneD, const unsigned int> Nektar::MultiRegions::ExpList::GetZIDs ( void )

inline

This function returns a vector containing the wave numbers in z-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction.

Definition at line 513 of file ExpList.h.

References v_GetZIDs().

Referenced by v_WriteTecplotZone().

             {
                 return v_GetZIDs();
             }

void Nektar::MultiRegions::ExpList::GlobalEigenSystem	(	const boost::shared_ptr< DNekMat > &	Gmat,
		Array< OneD, NekDouble > &	EigValsReal,
		Array< OneD, NekDouble > &	EigValsImag,
		Array< OneD, NekDouble > &	EigVecs = `NullNekDouble1DArray`
	)

protected

void Nektar::MultiRegions::ExpList::GlobalToLocal ( void )

inline

Put the coefficients into local ordering and place in m_coeffs.

Definition at line 1855 of file ExpList.h.

References v_GlobalToLocal().

         {
             v_GlobalToLocal();
         }

NekDouble Nektar::MultiRegions::ExpList::H1	(	const Array< OneD, const NekDouble > &	inarray,
		const Array< OneD, const NekDouble > &	soln = `NullNekDouble1DArray`
	)

Calculates the $H^1$ error of the global spectral/hp element approximation.

Given a spectral/hp approximation $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points (which should be contained in m_phys), this function calculates the $H^1_2$ error of this approximation with respect to an exact solution. The local distribution of the quadrature points allows an elemental evaluation of this operation through the functions StdRegions::StdExpansion::H1.

The exact solution, also evaluated at the quadrature points, should be contained in the variable m_phys of the ExpList object Sol.

Parameters

soln	An 1D array, containing the discrete evaluation of the exact solution at the quadrature points.

Returns: The error of the approximation.

Definition at line 1965 of file ExpList.cpp.

References m_comm, m_phys_offset, and Nektar::LibUtilities::ReduceSum.

         {
             NekDouble err = 0.0, errh1;
             int    i;
 
             for (i = 0; i < (*m_exp).size(); ++i)
             {
                 errh1 = (*m_exp)[i]->H1(inarray + m_phys_offset[i],
                                         soln    + m_phys_offset[i]);
                 err += errh1*errh1;
             }
 
             m_comm->GetRowComm()->AllReduce(err, LibUtilities::ReduceSum);
 
             return sqrt(err);
         }

void Nektar::MultiRegions::ExpList::HelmSolve	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const FlagList &	flags,
		const StdRegions::ConstFactorMap &	factors,
		const StdRegions::VarCoeffMap &	varcoeff = `StdRegions::NullVarCoeffMap`,
		const Array< OneD, const NekDouble > &	dirForcing = `NullNekDouble1DArray`
	)

inline

Solve helmholtz problem.

Definition at line 1642 of file ExpList.h.

References v_HelmSolve().

         {
             v_HelmSolve(inarray, outarray, flags, factors, varcoeff, dirForcing);
         }

void Nektar::MultiRegions::ExpList::HomogeneousBwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`,
		bool	Shuff = `true`,
		bool	UnShuff = `true`
	)

inline

Definition at line 1738 of file ExpList.h.

References v_HomogeneousBwdTrans().

         {
             v_HomogeneousBwdTrans(inarray,outarray,coeffstate,Shuff,UnShuff);
         }

Array<OneD, const NekDouble> Nektar::MultiRegions::ExpList::HomogeneousEnergy ( void )

inline

This function calculates the energy associated with each one of the modesof a 3D homogeneous nD expansion.

Definition at line 497 of file ExpList.h.

References v_HomogeneousEnergy().

             {
                 return v_HomogeneousEnergy();
             }

void Nektar::MultiRegions::ExpList::HomogeneousFwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`,
		bool	Shuff = `true`,
		bool	UnShuff = `true`
	)

inline

Definition at line 1725 of file ExpList.h.

References v_HomogeneousFwdTrans().

         {
             v_HomogeneousFwdTrans(inarray,outarray,coeffstate,Shuff,UnShuff);
         }

void Nektar::MultiRegions::ExpList::ImposeDirichletConditions ( Array< OneD, NekDouble > & outarray )

inline

Impose Dirichlet Boundary Conditions onto Array.

Definition at line 1839 of file ExpList.h.

References v_ImposeDirichletConditions().

         {
             v_ImposeDirichletConditions(outarray);
         }

NekDouble Nektar::MultiRegions::ExpList::Integral ( const Array< OneD, const NekDouble > & inarray )

inline

Definition at line 490 of file ExpList.h.

References v_Integral().

             {
                 return v_Integral(inarray);
             }

void Nektar::MultiRegions::ExpList::IProductWRTBase	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

Definition at line 1559 of file ExpList.h.

References v_IProductWRTBase().

Referenced by Nektar::MultiRegions::ContField3D::v_FwdTrans(), Nektar::MultiRegions::ContField3D::v_HelmSolve(), Nektar::MultiRegions::DisContField3D::v_HelmSolve(), Nektar::MultiRegions::DisContField2D::v_HelmSolve(), and Nektar::MultiRegions::DisContField1D::v_HelmSolve().

         {
             v_IProductWRTBase(inarray,outarray, coeffstate);
         }

void Nektar::MultiRegions::ExpList::IProductWRTBase_IterPerExp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to all {local} expansion modes $\phi_n^e(\boldsymbol{x})$ .

Definition at line 1570 of file ExpList.h.

References v_IProductWRTBase_IterPerExp().

Referenced by Nektar::MultiRegions::ContField2D::IProductWRTBase(), Nektar::MultiRegions::ContField1D::IProductWRTBase(), v_FwdTrans_IterPerExp(), and Nektar::MultiRegions::ContField3D::v_IProductWRTBase().

         {
             v_IProductWRTBase_IterPerExp(inarray,outarray);
         }

void Nektar::MultiRegions::ExpList::IProductWRTDerivBase	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to the derivative (in direction.

Parameters

dir)	of all {local} expansion modes $\phi_n^e(\boldsymbol{x})$ .

The operation is evaluated locally for every element by the function StdRegions::StdExpansion::IProductWRTDerivBase.

Parameters

dir	{0,1} is the direction in which the derivative of the basis should be taken
inarray	An array of size $Q_{\mathrm{tot}}$ containing the values of the function $f(\boldsymbol{x})$ at the quadrature points $\boldsymbol{x}_i$ .
outarray	An array of size $N_{\mathrm{eof}}$ used to store the result.

Definition at line 381 of file ExpList.cpp.

References m_coeff_offset, and m_phys_offset.

         {
             int    i;
 
             Array<OneD,NekDouble> e_outarray;
 
             for(i = 0; i < (*m_exp).size(); ++i)
             {
                 (*m_exp)[i]->IProductWRTDerivBase(dir,inarray+m_phys_offset[i],
                                                   e_outarray = outarray+m_coeff_offset[i]);
             }
         }

void Nektar::MultiRegions::ExpList::IProductWRTDerivBase	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

This function calculates the inner product of a function $f(\boldsymbol{x})$ with respect to the derivative (in direction.

Parameters

dir)	of all {local} expansion modes $\phi_n^e(\boldsymbol{x})$ .

The operation is evaluated locally for every element by the function StdRegions::StdExpansion::IProductWRTDerivBase.

Parameters

inarray	An array of arrays of size $Q_{\mathrm{tot}}$ containing the values of the function $f(\boldsymbol{x})$ at the quadrature points $\boldsymbol{x}_i$ in dir directions.
outarray	An array of size $N_{\mathrm{eof}}$ used to store the result.

Definition at line 408 of file ExpList.cpp.

References ASSERTL0, ASSERTL1, Nektar::NekOptimize::eIProductWRTDerivBase, GetCoordim(), m_coll_coeff_offset, m_coll_phys_offset, and m_collections.

         {
             Array<OneD, NekDouble> tmp0,tmp1,tmp2;
             // assume coord dimension defines the size of Deriv Base
             int dim = GetCoordim(0);
 
             ASSERTL1(inarray.num_elements() >= dim,"inarray is not of sufficient dimension");
 
             switch(dim)
             {
             case 1:
                 for (int i = 0; i < m_collections.size(); ++i)
                 {
                     m_collections[i].ApplyOperator(
                                                    Collections::eIProductWRTDerivBase,
                                                    inarray[0] + m_coll_phys_offset[i],
                                                    tmp0 = outarray + m_coll_coeff_offset[i]);
                 }
                 break;
             case 2:
                 for (int i = 0; i < m_collections.size(); ++i)
                 {
                     m_collections[i].ApplyOperator(
                                                    Collections::eIProductWRTDerivBase,
                                                    inarray[0] + m_coll_phys_offset[i],
                                                    tmp0 = inarray[1] + m_coll_phys_offset[i],
                                                    tmp1 = outarray + m_coll_coeff_offset[i]);
                 }
                 break;
             case 3:
                 for (int i = 0; i < m_collections.size(); ++i)
                 {
                     m_collections[i].ApplyOperator(
                                                    Collections::eIProductWRTDerivBase,
                                                    inarray[0] + m_coll_phys_offset[i],
                                                    tmp0 = inarray[1] + m_coll_phys_offset[i],
                                                    tmp1 = inarray[2] + m_coll_phys_offset[i],
                                                    tmp2 = outarray + m_coll_coeff_offset[i]);
                 }
                 break;
             default:
                 ASSERTL0(false,"Dimension of inarray not correct");
                 break;
             }
         }

NekDouble Nektar::MultiRegions::ExpList::L2	(	const Array< OneD, const NekDouble > &	inarray,
		const Array< OneD, const NekDouble > &	soln = `NullNekDouble1DArray`
	)

inline

This function calculates the $L_2$ error with respect to soln of the global spectral/hp element approximation.

Definition at line 477 of file ExpList.h.

References v_L2().

Referenced by Nektar::MultiRegions::DisContField2D::L2_DGDeriv(), and Nektar::MultiRegions::ExpList3DHomogeneous2D::v_L2().

             {
                 return v_L2(inarray, soln);
             }

void Nektar::MultiRegions::ExpList::LinearAdvectionDiffusionReactionSolve	(	const Array< OneD, Array< OneD, NekDouble > > &	velocity,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const NekDouble	lambda,
		CoeffState	coeffstate = `eLocal`,
		const Array< OneD, const NekDouble > &	dirForcing = `NullNekDouble1DArray`
	)

inline

Solve Advection Diffusion Reaction.

Definition at line 1657 of file ExpList.h.

References v_LinearAdvectionDiffusionReactionSolve().

         {
             v_LinearAdvectionDiffusionReactionSolve(velocity,inarray, outarray,
                                                 lambda, coeffstate,dirForcing);
         }

void Nektar::MultiRegions::ExpList::LinearAdvectionReactionSolve	(	const Array< OneD, Array< OneD, NekDouble > > &	velocity,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const NekDouble	lambda,
		CoeffState	coeffstate = `eLocal`,
		const Array< OneD, const NekDouble > &	dirForcing = `NullNekDouble1DArray`
	)

inline

Solve Advection Diffusion Reaction.

Definition at line 1669 of file ExpList.h.

References v_LinearAdvectionReactionSolve().

         {
             v_LinearAdvectionReactionSolve(velocity,inarray, outarray,
                                            lambda, coeffstate,dirForcing);
         }

NekDouble Nektar::MultiRegions::ExpList::Linf	(	const Array< OneD, const NekDouble > &	inarray,
		const Array< OneD, const NekDouble > &	soln = `NullNekDouble1DArray`
	)

This function calculates the $L_\infty$ error of the global spectral/hp element approximation.

Given a spectral/hp approximation $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points (which should be contained in m_phys), this function calculates the $L_\infty$ error of this approximation with respect to an exact solution. The local distribution of the quadrature points allows an elemental evaluation of this operation through the functions StdRegions::StdExpansion::Linf.

The exact solution, also evaluated at the quadrature points, should be contained in the variable m_phys of the ExpList object Sol.

Parameters

soln	A 1D array, containing the discrete evaluation of the exact solution at the quadrature points in its array m_phys.

Returns: The $L_\infty$ error of the approximation.

Definition at line 1768 of file ExpList.cpp.

References m_comm, m_npoints, Nektar::NullNekDouble1DArray, Nektar::LibUtilities::ReduceMax, and Vmath::Vmax().

         {
             NekDouble err = 0.0;
 
             if (soln == NullNekDouble1DArray)
             {
                 err = Vmath::Vmax(m_npoints, inarray, 1);
             }
             else
             {
                 for (int i = 0; i < m_npoints; ++i)
                 {
                     err = max(err, abs(inarray[i] - soln[i]));
                 }
             }
 
             m_comm->GetRowComm()->AllReduce(err, LibUtilities::ReduceMax);
 
             return err;
         }

void Nektar::MultiRegions::ExpList::LocalToGlobal ( void )

inline

Put the coefficients into global ordering using m_coeffs.

Definition at line 1850 of file ExpList.h.

References v_LocalToGlobal().

Referenced by Nektar::MultiRegions::ContField3D::v_FillBndCondFromField(), Nektar::MultiRegions::ContField2D::v_FillBndCondFromField(), Nektar::MultiRegions::ContField3D::v_HelmSolve(), and Nektar::MultiRegions::ContField2D::v_HelmSolve().

         {
             v_LocalToGlobal();
         }

void Nektar::MultiRegions::ExpList::MultiplyByBlockMatrix	(	const GlobalMatrixKey &	gkey,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protected

Retrieves the block matrix specified by bkey, and computes $ y=Mx $ .

Parameters

gkey	GlobalMatrixKey specifying the block matrix to use in the matrix-vector multiply.
inarray	Input vector .
outarray	Output vector .

Definition at line 324 of file ExpList.cpp.

References Nektar::eWrapper, and GetBlockMatrix().

Referenced by GeneralMatrixOp_IterPerExp().

         {
             // Retrieve the block matrix using the given key.
             const DNekScalBlkMatSharedPtr& blockmat = GetBlockMatrix(gkey);
             int nrows = blockmat->GetRows();
             int ncols = blockmat->GetColumns();
 
             // Create NekVectors from the given data arrays
             NekVector<NekDouble> in (ncols,inarray, eWrapper);
             NekVector<      NekDouble> out(nrows,outarray,eWrapper);
 
             // Perform matrix-vector multiply.
             out = (*blockmat)*in;
         }

void Nektar::MultiRegions::ExpList::MultiplyByElmtInvMass	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

This function elementally mulplies the coefficient space of Sin my the elemental inverse of the mass matrix.

The coefficients of the function to be acted upon should be contained in the

Parameters

inarray.	The resulting coefficients are stored in
outarray
inarray	An array of size $N_{\mathrm{eof}}$ containing the inner product.

Definition at line 563 of file ExpList.cpp.

References Nektar::StdRegions::eInvMass, Nektar::eWrapper, GetBlockMatrix(), and m_ncoeffs.

Referenced by v_FwdTrans_IterPerExp().

         {
             GlobalMatrixKey mkey(StdRegions::eInvMass);
             const DNekScalBlkMatSharedPtr& InvMass = GetBlockMatrix(mkey);
 
             // Inverse mass matrix
             NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
             if(inarray.get() == outarray.get())
             {
                 NekVector<NekDouble> in(m_ncoeffs,inarray); // copy data
                 out = (*InvMass)*in;
             }
             else
             {
                 NekVector<NekDouble> in(m_ncoeffs,inarray,eWrapper);
                 out = (*InvMass)*in;
             }
         }

void Nektar::MultiRegions::ExpList::MultiplyByInvMassMatrix	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

inline

Definition at line 1631 of file ExpList.h.

References v_MultiplyByInvMassMatrix().

         {
             v_MultiplyByInvMassMatrix(inarray,outarray,coeffstate);
         }

void Nektar::MultiRegions::ExpList::NormVectorIProductWRTBase	(	Array< OneD, const NekDouble > &	V1,
		Array< OneD, const NekDouble > &	V2,
		Array< OneD, NekDouble > &	outarray,
		int	BndID
	)

inline

Definition at line 1774 of file ExpList.h.

References v_NormVectorIProductWRTBase().

         {
             v_NormVectorIProductWRTBase(V1,V2,outarray,BndID);
         }

void Nektar::MultiRegions::ExpList::NormVectorIProductWRTBase	(	Array< OneD, Array< OneD, NekDouble > > &	V,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 1783 of file ExpList.h.

References v_NormVectorIProductWRTBase().

         {
             v_NormVectorIProductWRTBase(V, outarray);
         }

void Nektar::MultiRegions::ExpList::PhysDeriv	(	Direction	edir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_d
	)

inline

Definition at line 1714 of file ExpList.h.

References v_PhysDeriv().

         {
             v_PhysDeriv(edir, inarray,out_d);
         }        

void Nektar::MultiRegions::ExpList::PhysDeriv	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_d0,
		Array< OneD, NekDouble > &	out_d1 = `NullNekDouble1DArray`,
		Array< OneD, NekDouble > &	out_d2 = `NullNekDouble1DArray`
	)

inline

This function discretely evaluates the derivative of a function $f(\boldsymbol{x})$ on the domain consisting of all elements of the expansion.

Definition at line 1695 of file ExpList.h.

References v_PhysDeriv().

         {
             v_PhysDeriv(inarray,out_d0,out_d1,out_d2);
         }

void Nektar::MultiRegions::ExpList::PhysDeriv	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_d
	)

inline

Definition at line 1706 of file ExpList.h.

References v_PhysDeriv().

         {
             v_PhysDeriv(dir,inarray,out_d);
         }

void Nektar::MultiRegions::ExpList::PhysGalerkinProjection1DScaled	(	const NekDouble	scale,
		const Array< OneD, NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

This function Galerkin projects the physical space points in inarray to outarray where inarray is assumed to be defined in the expansion but where the number of points are rescaled by 1DScale.

Definition at line 557 of file ExpList.h.

References v_PhysGalerkinProjection1DScaled().

             {
                 v_PhysGalerkinProjection1DScaled(scale, inarray, outarray);
             } 

NekDouble Nektar::MultiRegions::ExpList::PhysIntegral ( void )

This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion.

The integration is evaluated locally, that is

$\int f(\boldsymbol{x})d\boldsymbol{x}=\sum_{e=1}^{{N_{\mathrm{el}}}} \left\{\int_{\Omega_e}f(\boldsymbol{x})d\boldsymbol{x}\right\},$

where the integration over the separate elements is done by the function StdRegions::StdExpansion::Integral, which discretely evaluates the integral using Gaussian quadrature.

Note that the array m_phys should be filled with the values of the function $f(\boldsymbol{x})$ at the quadrature points $\boldsymbol{x}_i$ .

Returns: The value of the discretely evaluated integral $\int f(\boldsymbol{x})d\boldsymbol{x}$ .

Definition at line 276 of file ExpList.cpp.

References ASSERTL1, m_phys, and m_physState.

         {
             ASSERTL1(m_physState == true,
                      "local physical space is not true ");
 
             return PhysIntegral(m_phys);
         }

NekDouble Nektar::MultiRegions::ExpList::PhysIntegral ( const Array< OneD, const NekDouble > & inarray )

This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion.

The integration is evaluated locally, that is

$\int f(\boldsymbol{x})d\boldsymbol{x}=\sum_{e=1}^{{N_{\mathrm{el}}}} \left\{\int_{\Omega_e}f(\boldsymbol{x})d\boldsymbol{x}\right\},$

where the integration over the separate elements is done by the function StdRegions::StdExpansion::Integral, which discretely evaluates the integral using Gaussian quadrature.

Parameters

inarray An array of size $Q_{\mathrm{tot}}$ containing the values of the function $f(\boldsymbol{x})$ at the quadrature points $\boldsymbol{x}_i$ .

Returns: The value of the discretely evaluated integral $\int f(\boldsymbol{x})d\boldsymbol{x}$ .

Definition at line 301 of file ExpList.cpp.

References m_phys_offset.

         {
             int       i;
             NekDouble sum = 0.0;
 
             for(i = 0; i < (*m_exp).size(); ++i)
             {
                 sum += (*m_exp)[i]->Integral(inarray + m_phys_offset[i]);
             }
 
             return sum;
         }

void Nektar::MultiRegions::ExpList::PhysInterp1DScaled	(	const NekDouble	scale,
		const Array< OneD, NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

This function interpolates the physical space points in inarray to outarray using the same points defined in the expansion but where the number of points are rescaled by 1DScale.

Definition at line 545 of file ExpList.h.

References v_PhysInterp1DScaled().

             {
                 v_PhysInterp1DScaled(scale, inarray,outarray);                
             }

void Nektar::MultiRegions::ExpList::ReadGlobalOptimizationParameters ( )

inlineprotected

Definition at line 1049 of file ExpList.h.

References v_ReadGlobalOptimizationParameters().

Referenced by Nektar::MultiRegions::ExpList1D::ExpList1D(), Nektar::MultiRegions::ExpList2D::ExpList2D(), and Nektar::MultiRegions::ExpList3D::ExpList3D().

             {
                 v_ReadGlobalOptimizationParameters();
             }

void Nektar::MultiRegions::ExpList::Reset ( )

inline

Reset geometry information and reset matrices.

Definition at line 371 of file ExpList.h.

References v_Reset().

             {
                 v_Reset();
             }

void Nektar::MultiRegions::ExpList::SetCoeff	(	int	i,
		NekDouble	val
	)

inline

Set the i th coefficiient in m_coeffs to value val.

Parameters

i	The index of m_coeffs to be set
val	The value which m_coeffs[i] is to be set to.

Definition at line 1805 of file ExpList.h.

References m_coeffs.

         {
             m_coeffs[i] = val;
         }

void Nektar::MultiRegions::ExpList::SetCoeffs	(	int	i,
		NekDouble	val
	)

inline

Set the i th coefficiient in m_coeffs to value val.

Parameters

i	The index of m_coeffs to be set.
val	The value which m_coeffs[i] is to be set to.

Definition at line 1815 of file ExpList.h.

References m_coeffs.

         {
             m_coeffs[i] = val;
         }

void Nektar::MultiRegions::ExpList::SetCoeffsArray ( Array< OneD, NekDouble > & inarray )

inline

Set the m_coeffs array to inarray.

Definition at line 1821 of file ExpList.h.

References m_coeffs.

         {
             m_coeffs = inarray;
         }

void Nektar::MultiRegions::ExpList::SetExpType ( ExpansionType Type )

Returns the type of the expansion.

Definition at line 251 of file ExpList.cpp.

References m_expType.

Referenced by ExpList(), Nektar::MultiRegions::ExpList0D::ExpList0D(), Nektar::MultiRegions::ExpList1D::ExpList1D(), Nektar::MultiRegions::ExpList2D::ExpList2D(), Nektar::MultiRegions::ExpList3D::ExpList3D(), Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D(), and Nektar::MultiRegions::ExpList3DHomogeneous2D::ExpList3DHomogeneous2D().

         {
             m_expType = Type;
         }

void Nektar::MultiRegions::ExpList::SetHomo1DSpecVanVisc ( Array< OneD, NekDouble > visc )

inline

This function sets the Spectral Vanishing Viscosity in homogeneous1D expansion.

Definition at line 504 of file ExpList.h.

References v_SetHomo1DSpecVanVisc().

             {
                 v_SetHomo1DSpecVanVisc(visc);
             }

void Nektar::MultiRegions::ExpList::SetModifiedBasis ( const bool modbasis )

inline

Set Modified Basis for the stability analysis.

void Nektar::MultiRegions::ExpList::SetPhys	(	int	i,
		NekDouble	val
	)

inline

Set the i th value of m_phys to value val.

Set the i th value ofm_phys to value val.

Definition at line 1508 of file ExpList.h.

References m_phys.

         {
             m_phys[i] = val;
         }

void Nektar::MultiRegions::ExpList::SetPhys ( const Array< OneD, const NekDouble > & inarray )

inline

Fills the array m_phys.

This function fills the array $\boldsymbol{u}_l$ , the evaluation of the expansion at the quadrature points (implemented as m_phys), with the values of the array inarray.

Parameters

inarray The array containing the values where m_phys should be filled with.

Definition at line 1522 of file ExpList.h.

References ASSERTL0, m_npoints, m_phys, m_physState, and Vmath::Vcopy().

         {
             ASSERTL0(inarray.num_elements() == m_npoints,
                      "Input array does not have correct number of elements.");
 
             Vmath::Vcopy(m_npoints,&inarray[0],1,&m_phys[0],1);
             m_physState = true;
         }

void Nektar::MultiRegions::ExpList::SetPhysArray ( Array< OneD, NekDouble > & inarray )

inline

Sets the array m_phys.

Definition at line 1533 of file ExpList.h.

References m_phys.

         {
             m_phys = inarray;
         }

void Nektar::MultiRegions::ExpList::SetPhysState ( const bool physState )

inline

This function manually sets whether the array of physical values $\boldsymbol{u}_l$ (implemented as m_phys) is filled or not.

Parameters

physState true (=filled) or false (=not filled).

Definition at line 1542 of file ExpList.h.

References m_physState.

         {
             m_physState = physState;
         }

void Nektar::MultiRegions::ExpList::SetUpPhysNormals ( )

inline

Definition at line 2139 of file ExpList.h.

References v_SetUpPhysNormals().

Referenced by Nektar::MultiRegions::DisContField1D::DisContField1D(), Nektar::MultiRegions::DisContField2D::DisContField2D(), Nektar::MultiRegions::DisContField3D::DisContField3D(), Nektar::MultiRegions::DisContField3D::GenerateBoundaryConditionExpansion(), Nektar::MultiRegions::DisContField2D::GenerateBoundaryConditionExpansion(), Nektar::MultiRegions::DisContField3D::SetUpDG(), Nektar::MultiRegions::DisContField2D::SetUpDG(), and Nektar::MultiRegions::DisContField1D::SetUpDG().

         {
             v_SetUpPhysNormals();
         }

void Nektar::MultiRegions::ExpList::SetWaveSpace ( const bool wavespace )

inline

Sets the wave space to the one of the possible configuration true or false.

Definition at line 1494 of file ExpList.h.

References m_WaveSpace.

         {
             m_WaveSpace = wavespace;
         }

void Nektar::MultiRegions::ExpList::SmoothField ( Array< OneD, NekDouble > & field )

inline

Smooth a field across elements.

Definition at line 1601 of file ExpList.h.

References v_SmoothField().

         {
             v_SmoothField(field);
         }

boost::shared_ptr< ExpList > & Nektar::MultiRegions::ExpList::UpdateBndCondExpansion ( int i )

inline

Definition at line 1978 of file ExpList.h.

References v_UpdateBndCondExpansion().

         {
             return v_UpdateBndCondExpansion(i);
         }

Array< OneD, SpatialDomains::BoundaryConditionShPtr > & Nektar::MultiRegions::ExpList::UpdateBndConditions ( )

inline

Definition at line 2086 of file ExpList.h.

References v_UpdateBndConditions().

         {
             return v_UpdateBndConditions();
         }

Array< OneD, NekDouble > & Nektar::MultiRegions::ExpList::UpdateCoeffs ( void )

inline

This function returns (a reference to) the array $\boldsymbol{\hat{u}}_l$ (implemented as m_coeffs) containing all local expansion coefficients.

If one wants to get hold of the underlying data without modifying them, rather use the function GetCoeffs instead.

Returns: (A reference to) the array m_coeffs.

Definition at line 1953 of file ExpList.h.

References m_coeffs.

Referenced by Nektar::MultiRegions::DisContField3DHomogeneous2D::EvaluateBoundaryConditions(), and Nektar::MultiRegions::DisContField3DHomogeneous1D::EvaluateBoundaryConditions().

         {
             return m_coeffs;
         }

Array< OneD, NekDouble > & Nektar::MultiRegions::ExpList::UpdatePhys ( void )

inline

This function returns (a reference to) the array $\boldsymbol{u}_l$ (implemented as m_phys) containing the function $u^{\delta}(\boldsymbol{x})$ evaluated at the quadrature points.

If one wants to get hold of the underlying data without modifying them, rather use the function GetPhys instead.

Returns: (A reference to) the array m_phys.

Definition at line 1964 of file ExpList.h.

References m_phys, and m_physState.

         {
             m_physState = true;
             return m_phys;
         }

void Nektar::MultiRegions::ExpList::Upwind	(	const Array< OneD, const Array< OneD, NekDouble > > &	Vec,
		const Array< OneD, const NekDouble > &	Fwd,
		const Array< OneD, const NekDouble > &	Bwd,
		Array< OneD, NekDouble > &	Upwind
	)

inline

Definition at line 1983 of file ExpList.h.

References v_Upwind().

         {
             v_Upwind(Vec, Fwd, Bwd, Upwind);
         }

void Nektar::MultiRegions::ExpList::Upwind	(	const Array< OneD, const NekDouble > &	Vn,
		const Array< OneD, const NekDouble > &	Fwd,
		const Array< OneD, const NekDouble > &	Bwd,
		Array< OneD, NekDouble > &	Upwind
	)

inline

Definition at line 1992 of file ExpList.h.

References v_Upwind().

         {
             v_Upwind(Vn, Fwd, Bwd, Upwind);
         }

void Nektar::MultiRegions::ExpList::v_AddFwdBwdTraceIntegral	(	const Array< OneD, const NekDouble > &	Fwd,
		const Array< OneD, const NekDouble > &	Bwd,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::DisContField2D, and Nektar::MultiRegions::DisContField3D.

Definition at line 2336 of file ExpList.cpp.

References ASSERTL0.

Referenced by AddFwdBwdTraceIntegral().

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fx,
		const Array< OneD, const NekDouble > &	Fy,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::DisContField2D.

Definition at line 2319 of file ExpList.cpp.

References ASSERTL0.

Referenced by AddTraceIntegral().

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fn,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::DisContField2D, Nektar::MultiRegions::DisContField3D, and Nektar::MultiRegions::DisContField1D.

Definition at line 2328 of file ExpList.cpp.

References ASSERTL0.

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_AppendFieldData	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::ExpListHomogeneous1D, and Nektar::MultiRegions::ExpListHomogeneous2D.

Definition at line 2106 of file ExpList.cpp.

References m_coeffs.

Referenced by AppendFieldData().

         {
             v_AppendFieldData(fielddef,fielddata,m_coeffs);
         }

void Nektar::MultiRegions::ExpList::v_AppendFieldData	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector< NekDouble > &	fielddata,
		Array< OneD, NekDouble > &	coeffs
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::ExpListHomogeneous1D, and Nektar::MultiRegions::ExpListHomogeneous2D.

Definition at line 2111 of file ExpList.cpp.

References m_coeff_offset.

         {
             int i;
             // Determine mapping from element ids to location in
             // expansion list
             // Determine mapping from element ids to location in
             // expansion list
             map<int, int> ElmtID_to_ExpID;
             for(i = 0; i < (*m_exp).size(); ++i)
             {
                 ElmtID_to_ExpID[(*m_exp)[i]->GetGeom()->GetGlobalID()] = i;
             }
 
             for(i = 0; i < fielddef->m_elementIDs.size(); ++i)
             {
                 int eid     = ElmtID_to_ExpID[fielddef->m_elementIDs[i]];
                 int datalen = (*m_exp)[eid]->GetNcoeffs();
                 fielddata.insert(fielddata.end(),&coeffs[m_coeff_offset[eid]],&coeffs[m_coeff_offset[eid]]+datalen);
             }
 
         }

void Nektar::MultiRegions::ExpList::v_BwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::ContField2D, Nektar::MultiRegions::ContField1D, Nektar::MultiRegions::ExpListHomogeneous1D, Nektar::MultiRegions::ExpListHomogeneous2D, and Nektar::MultiRegions::ContField3D.

Definition at line 2544 of file ExpList.cpp.

References v_BwdTrans_IterPerExp().

Referenced by BwdTrans().

         {
             v_BwdTrans_IterPerExp(inarray,outarray);
         }

void Nektar::MultiRegions::ExpList::v_BwdTrans_IterPerExp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Given the elemental coefficients $\hat{u}_n^e$ of an expansion, this function evaluates the spectral/hp expansion $u^{\delta}(\boldsymbol{x})$ at the quadrature points $\boldsymbol{x}_i$ . The operation is evaluated locally by the elemental function StdRegions::StdExpansion::BwdTrans.

Parameters

inarray	An array of size $N_{\mathrm{eof}}$ containing the local coefficients $\hat{u}_n^e$ .
outarray	The resulting physical values at the quadrature points $u^{\delta}(\boldsymbol{x}_i)$ will be stored in this array of size $Q_{\mathrm{tot}}$ .

Reimplemented in Nektar::MultiRegions::ExpListHomogeneous1D, and Nektar::MultiRegions::ExpListHomogeneous2D.

Definition at line 1229 of file ExpList.cpp.

References Nektar::StdRegions::eBwdTrans, m_coll_coeff_offset, m_coll_phys_offset, and m_collections.

Referenced by BwdTrans_IterPerExp(), and v_BwdTrans().

         {
             Array<OneD, NekDouble> tmp;
             for (int i = 0; i < m_collections.size(); ++i)
             {
                 m_collections[i].ApplyOperator(Collections::eBwdTrans,
                                                inarray + m_coll_coeff_offset[i],
                                                tmp = outarray + m_coll_phys_offset[i]);
             }
         }

void Nektar::MultiRegions::ExpList::v_ClearGlobalLinSysManager ( void )

protectedvirtual

Reimplemented in Nektar::MultiRegions::ContField2D, Nektar::MultiRegions::ContField1D, Nektar::MultiRegions::ContField3D, Nektar::MultiRegions::ContField3DHomogeneous1D, and Nektar::MultiRegions::ContField3DHomogeneous2D.

Definition at line 1903 of file ExpList.cpp.

References ASSERTL0.

Referenced by ClearGlobalLinSysManager().

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_DealiasedProd	(	const Array< OneD, NekDouble > &	inarray1,
		const Array< OneD, NekDouble > &	inarray2,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::ExpListHomogeneous1D, and Nektar::MultiRegions::ExpListHomogeneous2D.

Definition at line 2448 of file ExpList.cpp.

References ASSERTL0.

Referenced by DealiasedProd().

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_EvaluateBoundaryConditions	(	const NekDouble	time = `0.0`,
		const std::string	varName = `""`,
		const NekDouble	x2_in = `NekConstants::kNekUnsetDouble`,
		const NekDouble	x3_in = `NekConstants::kNekUnsetDouble`
	)

privatevirtual

Reimplemented in Nektar::MultiRegions::DisContField2D, Nektar::MultiRegions::DisContField3DHomogeneous1D, Nektar::MultiRegions::DisContField3D, Nektar::MultiRegions::DisContField1D, and Nektar::MultiRegions::DisContField3DHomogeneous2D.

Definition at line 2827 of file ExpList.cpp.

References ASSERTL0.

Referenced by EvaluateBoundaryConditions().

         {
             ASSERTL0(false,
                      "This method is not defined or valid for this class type");
         }

void Nektar::MultiRegions::ExpList::v_ExtractCoeffsToCoeffs	(	const boost::shared_ptr< ExpList > &	fromExpList,
		const Array< OneD, const NekDouble > &	fromCoeffs,
		Array< OneD, NekDouble > &	toCoeffs
	)

protectedvirtual

Reimplemented in Nektar::MultiRegions::ExpListHomogeneous1D.

Definition at line 2232 of file ExpList.cpp.

References m_coeff_offset, and m_offset_elmt_id.

Referenced by ExtractCoeffsToCoeffs().

         {
             int i;
             int offset = 0;
 
             for(i = 0; i < (*m_exp).size(); ++i)
             {
                 std::vector<unsigned int> nummodes;
                 int eid = m_offset_elmt_id[i];
                 for(int j= 0; j < fromExpList->GetExp(eid)->GetNumBases(); ++j)
                 {
                     nummodes.push_back(fromExpList->GetExp(eid)->GetBasisNumModes(j));
                 }
 
                 (*m_exp)[eid]->ExtractDataToCoeffs(&fromCoeffs[offset], nummodes,0,
                                                    &toCoeffs[m_coeff_offset[eid]]);
 
                 offset += fromExpList->GetExp(eid)->GetNcoeffs();
             }
         }

void Nektar::MultiRegions::ExpList::v_ExtractDataToCoeffs	(	LibUtilities::FieldDefinitionsSharedPtr &	fielddef,
		std::vector<

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