Abstraction of a two-dimensional multi-elemental expansion which is merely a collection of local expansions. More...

#include <ExpList3DHomogeneous1D.h>

Inheritance diagram for Nektar::MultiRegions::ExpList3DHomogeneous1D:

Collaboration diagram for Nektar::MultiRegions::ExpList3DHomogeneous1D:

Public Member Functions
	ExpList3DHomogeneous1D ()
	Default constructor. More...

	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing)

	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &var="DefaultVar")
	Sets up a list of local expansions based on an input mesh. More...

	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing, const SpatialDomains::ExpansionMap &expansions)
	Sets up a list of local expansions based on an mesh expansion. More...

	ExpList3DHomogeneous1D (const ExpList3DHomogeneous1D &In, const bool DeclarePlanesSetCoeffPhys=true)
	Copy constructor. More...

virtual	~ExpList3DHomogeneous1D ()
	Destructor. More...

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	GetCoords (const int eid, Array< OneD, NekDouble > &xc0, Array< OneD, NekDouble > &xc1, Array< OneD, NekDouble > &xc2)

Public Member Functions inherited from Nektar::MultiRegions::ExpListHomogeneous1D
	ExpListHomogeneous1D ()
	Default constructor. More...

	ExpListHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lz, const bool useFFT, const bool dealiasing)

	ExpListHomogeneous1D (const ExpListHomogeneous1D &In)
	Copy constructor. More...

virtual	~ExpListHomogeneous1D ()
	Destructor. More...

void	Homogeneous1DTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool IsForwards, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)

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)

LibUtilities::BasisSharedPtr	GetHomogeneousBasis (void)

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

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

ExpListSharedPtr &	GetPlane (int n)

Public Member Functions inherited from Nektar::MultiRegions::ExpList
	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 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	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)

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	GeneralGetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef, int NumHomoDir=0, int NumHomoStrip=1, Array< OneD, LibUtilities::BasisSharedPtr > &HomoBasis=LibUtilities::NullBasisSharedPtr1DArray, std::vector< NekDouble > &HomoLen=LibUtilities::NullNekDoubleVector, 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...

Protected Member Functions
void	SetCoeffPhys (void)
	Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys. More...

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

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

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

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

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

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

Protected Member Functions inherited from Nektar::MultiRegions::ExpListHomogeneous1D
DNekBlkMatSharedPtr	GenHomogeneous1DBlockMatrix (Homogeneous1DMatType mattype, CoeffState coeffstate=eLocal) const

DNekBlkMatSharedPtr	GetHomogeneous1DBlockMatrix (Homogeneous1DMatType mattype, CoeffState coeffstate=eLocal) const

NekDouble	GetSpecVanVisc (const int k)

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

virtual int	v_GetNumElmts (void)

virtual LibUtilities::BasisSharedPtr	v_GetHomogeneousBasis (void)

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_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_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 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_WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var)

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

virtual LibUtilities::TranspositionSharedPtr	v_GetTransposition (void)

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

virtual ExpListSharedPtr &	v_GetPlane (int n)

virtual NekDouble	v_GetHomoLen (void)

Protected Member Functions inherited from Nektar::MultiRegions::ExpList
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 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 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_SmoothField (Array< OneD, NekDouble > &field)

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

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

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_SetUpPhysNormals ()

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

virtual void	v_ReadGlobalOptimizationParameters ()

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

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

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

Private Member Functions
void	GenExpList3DHomogeneous1D (const SpatialDomains::ExpansionMap &expansions)

Additional Inherited Members
Public Attributes inherited from Nektar::MultiRegions::ExpListHomogeneous1D
LibUtilities::TranspositionSharedPtr	m_transposition

LibUtilities::CommSharedPtr	m_StripZcomm

Public Attributes inherited from Nektar::MultiRegions::ExpList
ExpansionType	m_expType

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

Protected Attributes inherited from Nektar::MultiRegions::ExpListHomogeneous1D
bool	m_useFFT
	FFT variables. More...

LibUtilities::NektarFFTSharedPtr	m_FFT

LibUtilities::NektarFFTSharedPtr	m_FFT_deal

Array< OneD, NekDouble >	m_tmpIN

Array< OneD, NekDouble >	m_tmpOUT

LibUtilities::BasisSharedPtr	m_homogeneousBasis
	Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys. More...

NekDouble	m_lhom
	Width of homogeneous direction. More...

Homo1DBlockMatrixMapShPtr	m_homogeneous1DBlockMat

Array< OneD, ExpListSharedPtr >	m_planes

Protected Attributes inherited from Nektar::MultiRegions::ExpList
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

Detailed Description

Abstraction of a two-dimensional multi-elemental expansion which is merely a collection of local expansions.

Definition at line 61 of file ExpList3DHomogeneous1D.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D ( )

Default constructor.

Definition at line 45 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::e3DH1D, and Nektar::MultiRegions::ExpList::SetExpType().

                                                       :
             ExpListHomogeneous1D()
         {
             SetExpType(e3DH1D);
         }

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing
	)

Definition at line 51 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::e3DH1D, and Nektar::MultiRegions::ExpList::SetExpType().

                                   :
             ExpListHomogeneous1D(pSession,HomoBasis,lhom,useFFT,dealiasing)
         {
             SetExpType(e3DH1D);
         }

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing,
		const SpatialDomains::MeshGraphSharedPtr &	graph2D,
		const std::string &	var = `"DefaultVar"`
	)

Sets up a list of local expansions based on an input mesh.

Definition at line 63 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::e3DH1D, GenExpList3DHomogeneous1D(), and Nektar::MultiRegions::ExpList::SetExpType().

                                  :
             ExpListHomogeneous1D(pSession,HomoBasis,lhom,useFFT,dealiasing)
         {
             SetExpType(e3DH1D);
 
             GenExpList3DHomogeneous1D(graph2D->GetExpansions(var));
         }

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing,
		const SpatialDomains::ExpansionMap &	expansions
	)

Sets up a list of local expansions based on an mesh expansion.

Definition at line 79 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::e3DH1D, GenExpList3DHomogeneous1D(), and Nektar::MultiRegions::ExpList::SetExpType().

                                                           :                                                      
             ExpListHomogeneous1D(pSession,HomoBasis,lhom,useFFT,dealiasing)
         {
             SetExpType(e3DH1D);
             
             GenExpList3DHomogeneous1D(expansions);
         }

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const ExpList3DHomogeneous1D &	In,
		const bool	DeclarePlanesSetCoeffPhys = `true`
	)

Copy constructor.

Parameters

In	ExpList3DHomogeneous1D object to copy.

Definition at line 131 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::e3DH1D, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, SetCoeffPhys(), and Nektar::MultiRegions::ExpList::SetExpType().

                                                                                                                       :
             ExpListHomogeneous1D(In)
         {
             SetExpType(e3DH1D);
 
             if(DeclarePlanesSetCoeffPhys)
             {
                 bool False = false;
                 ExpList2DSharedPtr zero_plane = boost::dynamic_pointer_cast<ExpList2D> (In.m_planes[0]);
 
                 for(int n = 0; n < m_planes.num_elements(); ++n)
                 {
                     m_planes[n] = MemoryManager<ExpList2D>::AllocateSharedPtr(*zero_plane,False);
                 }
 
                 SetCoeffPhys();
             }
         }

Nektar::MultiRegions::ExpList3DHomogeneous1D::~ExpList3DHomogeneous1D ( )

virtual

Destructor.

Destructor

Definition at line 153 of file ExpList3DHomogeneous1D.cpp.

154 {

155 }

Member Function Documentation

void Nektar::MultiRegions::ExpList3DHomogeneous1D::GenExpList3DHomogeneous1D ( const SpatialDomains::ExpansionMap & expansions )

private

Definition at line 93 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::GetExp(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_exp, Nektar::MultiRegions::ExpList::m_globalOptParam, Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpList::m_session, and SetCoeffPhys().

Referenced by ExpList3DHomogeneous1D().

         {
             int  n,j,nel;
             bool False = false;
             ExpList2DSharedPtr plane_zero;
 
             // note that nzplanes can be larger than nzmodes
             m_planes[0] = plane_zero = MemoryManager<ExpList2D>::AllocateSharedPtr(m_session, expansions, False);
 
             m_exp = MemoryManager<LocalRegions::ExpansionVector>::AllocateSharedPtr();
             nel = m_planes[0]->GetExpSize();
             
             for(j = 0; j < nel; ++j)
             {
                 (*m_exp).push_back(m_planes[0]->GetExp(j));
             }
             
             for(n = 1; n < m_homogeneousBasis->GetNumPoints(); ++n)
             {
                 m_planes[n] = MemoryManager<ExpList2D>::AllocateSharedPtr(*plane_zero,False);
                 for(j = 0; j < nel; ++j)
                 {
                     (*m_exp).push_back((*m_exp)[j]);
                 }
             }
             
             // Setup Default optimisation information.
             nel = GetExpSize();
             m_globalOptParam = MemoryManager<NekOptimize::GlobalOptParam>
                 ::AllocateSharedPtr(nel);
 
             SetCoeffPhys();
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::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 152 of file ExpList3DHomogeneous1D.h.

References v_GetCoords().

Referenced by v_WriteVtkPieceHeader().

         {
             v_GetCoords(coord_0,coord_1,coord_2);
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::GetCoords	(	const int	eid,
		Array< OneD, NekDouble > &	xc0,
		Array< OneD, NekDouble > &	xc1,
		Array< OneD, NekDouble > &	xc2
	)

Definition at line 192 of file ExpList3DHomogeneous1D.cpp.

References Vmath::Fill(), Nektar::MultiRegions::ExpList::GetTotPoints(), Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Vmath::Sadd(), Vmath::Smul(), and Vmath::Vcopy().

         {
             int n;
             Array<OneD, NekDouble> tmp_xc;
             int nzplanes = m_planes.num_elements();
             int npoints  = GetTotPoints(eid);
 
             (*m_exp)[eid]->GetCoords(xc0,xc1);
 
             // Fill z-direction
             Array<OneD, const NekDouble> pts =  m_homogeneousBasis->GetZ();
             Array<OneD, NekDouble> local_pts(m_planes.num_elements());
             
             for(n = 0; n < m_planes.num_elements(); n++)
             {
                 local_pts[n] = pts[m_transposition->GetPlaneID(n)];
             }
             
             Array<OneD, NekDouble> z(nzplanes);
 
             Vmath::Smul(nzplanes,m_lhom/2.0,local_pts,1,z,1);
             Vmath::Sadd(nzplanes,m_lhom/2.0,z,1,z,1);
 
             for(n = 0; n < nzplanes; ++n)
             {
                 Vmath::Fill(npoints,z[n],tmp_xc = xc2 + npoints*n,1);
                 if(n)
                 {
                     Vmath::Vcopy(npoints,xc0,1,tmp_xc = xc0+npoints*n,1);
                     Vmath::Vcopy(npoints,xc1,1,tmp_xc = xc1+npoints*n,1);
                 }
             }
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::SetCoeffPhys ( void )

protected

Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys.

Definition at line 157 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::ExpList::m_coeff_offset, Nektar::MultiRegions::ExpList::m_coeffs, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Nektar::MultiRegions::ExpList::m_offset_elmt_id, Nektar::MultiRegions::ExpList::m_phys, Nektar::MultiRegions::ExpList::m_phys_offset, and Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

Referenced by Nektar::MultiRegions::ContField3DHomogeneous1D::ContField3DHomogeneous1D(), Nektar::MultiRegions::DisContField3DHomogeneous1D::DisContField3DHomogeneous1D(), ExpList3DHomogeneous1D(), and GenExpList3DHomogeneous1D().

         {
             int i,n,cnt;
             int ncoeffs_per_plane = m_planes[0]->GetNcoeffs();
             int npoints_per_plane = m_planes[0]->GetTotPoints();
 
             int nzplanes = m_planes.num_elements();
 
             // Set total coefficients and points
             m_ncoeffs = ncoeffs_per_plane*nzplanes;
             m_npoints = npoints_per_plane*nzplanes;
 
             m_coeffs = Array<OneD, NekDouble> (m_ncoeffs,0.0);
             m_phys   = Array<OneD, NekDouble> (m_npoints,0.0);
 
             int nel = m_planes[0]->GetExpSize();
             m_coeff_offset   = Array<OneD,int>(nel*nzplanes);
             m_phys_offset    = Array<OneD,int>(nel*nzplanes);
             m_offset_elmt_id = Array<OneD,int>(nel*nzplanes);
             Array<OneD, NekDouble> tmparray;
 
             for(cnt  = n = 0; n < nzplanes; ++n)
             {
                 m_planes[n]->SetCoeffsArray(tmparray= m_coeffs + ncoeffs_per_plane*n);
                 m_planes[n]->SetPhysArray(tmparray = m_phys + npoints_per_plane*n);
 
                 for(i = 0; i < nel; ++i)
                 {
                     m_coeff_offset[cnt] = m_planes[n]->GetCoeff_Offset(i) + n*ncoeffs_per_plane;
                     m_phys_offset[cnt] =  m_planes[n]->GetPhys_Offset(i) + n*npoints_per_plane;
                     m_offset_elmt_id[cnt++] = m_planes[n]->GetOffset_Elmt_Id(i) + n*nel;
                 }
             }
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_GetCoords	(	Array< OneD, NekDouble > &	xc0,
		Array< OneD, NekDouble > &	xc1,
		Array< OneD, NekDouble > &	xc2
	)

protectedvirtual

The operation calls the 2D plane coordinates through the function ExpList::GetCoords and then evaluated the third coordinate using the member m_lhom

Parameters

coord_0	After calculation, the coordinate will be stored in this array.
coord_1	After calculation, the coordinate will be stored in this array.
coord_2	After calculation, the coordinate will be stored in this array. This coordinate is evaluated using the predefined value m_lhom

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 245 of file ExpList3DHomogeneous1D.cpp.

References Vmath::Fill(), Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Vmath::Sadd(), Vmath::Smul(), and Vmath::Vcopy().

Referenced by GetCoords().

         {
             int n;
             Array<OneD, NekDouble> tmp_xc;
             int nzplanes = m_planes.num_elements();
             int npoints = m_planes[0]->GetTotPoints();
 
             m_planes[0]->GetCoords(xc0,xc1);
 
             // Fill z-direction
             Array<OneD, const NekDouble> pts =  m_homogeneousBasis->GetZ();
             
             Array<OneD, NekDouble> local_pts(m_planes.num_elements());
             
             for(n = 0; n < m_planes.num_elements(); n++)
             {
                 local_pts[n] = pts[m_transposition->GetPlaneID(n)];
             }
             
             Array<OneD, NekDouble> z(nzplanes);
             
             Vmath::Smul(nzplanes,m_lhom/2.0,local_pts,1,z,1);
             Vmath::Sadd(nzplanes,m_lhom/2.0,z,1,z,1);
 
             for(n = 0; n < nzplanes; ++n)
             {
                 Vmath::Fill(npoints,z[n],tmp_xc = xc2 + npoints*n,1);
                 if(n)
                 {
                     Vmath::Vcopy(npoints,xc0,1,tmp_xc = xc0+npoints*n,1);
                     Vmath::Vcopy(npoints,xc1,1,tmp_xc = xc1+npoints*n,1);
                 }
             }
         }

virtual void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_GetPeriodicEntities	(	PeriodicMap &	periodicVerts,
		PeriodicMap &	periodicEdges,
		PeriodicMap &	periodicFaces
	)

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 136 of file ExpList3DHomogeneous1D.h.

References Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

             {
                 m_planes[0]->GetPeriodicEntities(periodicVerts,periodicEdges);
             }

Array< OneD, const NekDouble > Nektar::MultiRegions::ExpList3DHomogeneous1D::v_HomogeneousEnergy ( void )

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 446 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetExp(), Nektar::MultiRegions::ExpList::GetTotPoints(), Nektar::MultiRegions::ExpList::m_comm, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, and Nektar::LibUtilities::ReduceSum.

         {
             Array<OneD, NekDouble> energy(m_planes.num_elements()/2);
             NekDouble area = 0.0;
 
             // Calculate total area of elements.
             for (int n = 0; n < m_planes[0]->GetExpSize(); ++n)
             {
                 Array<OneD, NekDouble> inarray(m_planes[0]->GetExp(n)->GetTotPoints(), 1.0);
                 area += m_planes[0]->GetExp(n)->Integral(inarray);
             }
             
             m_comm->GetRowComm()->AllReduce(area, LibUtilities::ReduceSum);
             
             // Calculate L2 norm of real/imaginary planes.
             for (int n = 0; n < m_planes.num_elements(); n += 2)
             {
                 NekDouble err;
                 
                 energy[n/2] = 0;
                 
                 for(int i = 0; i < m_planes[n]->GetExpSize(); ++i)
                 {
                     StdRegions::StdExpansionSharedPtr exp = m_planes[n]->GetExp(i);
                     Array<OneD, NekDouble> phys(exp->GetTotPoints());
                     exp->BwdTrans(m_planes[n]->GetCoeffs()+m_planes[n]->GetCoeff_Offset(i),
                                   phys);
                     err = exp->L2(phys);
                     energy[n/2] += err*err;
                     
                     exp = m_planes[n+1]->GetExp(i);
                     exp->BwdTrans(m_planes[n+1]->GetCoeffs()+m_planes[n+1]->GetCoeff_Offset(i),
                                   phys);
                     err = exp->L2(phys);
                     energy[n/2] += err*err;
                 }
                 
                 m_comm->GetRowComm()->AllReduce(energy[n/2], LibUtilities::ReduceSum);
                 energy[n/2] /= 2.0*area;
             }
             
             return energy;
         }

NekDouble Nektar::MultiRegions::ExpList3DHomogeneous1D::v_L2	(	const Array< OneD, const NekDouble > &	inarray,
		const Array< OneD, const NekDouble > &	soln = `NullNekDouble1DArray`
	)

protectedvirtual

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 $L_2$ 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::L2.

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

Parameters

Sol	An ExpList, containing the discrete evaluation of the exact solution at the quadrature points in its array m_phys.

Returns: The error of the approximation.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 409 of file ExpList3DHomogeneous1D.cpp.

References Nektar::MultiRegions::ExpList::m_comm, Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Nektar::NullNekDouble1DArray, and Nektar::LibUtilities::ReduceSum.

         {
             int cnt = 0;
             NekDouble errL2, err = 0.0;
             Array<OneD, const NekDouble> w = m_homogeneousBasis->GetW();
             Array<OneD, NekDouble> local_w(m_planes.num_elements());
             
             for(int n = 0; n < m_planes.num_elements(); n++)
             {
                 local_w[n] = w[m_transposition->GetPlaneID(n)];
             }
             
             if (soln == NullNekDouble1DArray)
             {
                 for(int n = 0; n < m_planes.num_elements(); ++n)
                 {
                     errL2 = m_planes[n]->L2(inarray + cnt);
                     cnt  += m_planes[n]->GetTotPoints();
                     err  += errL2*errL2*local_w[n]*m_lhom*0.5;
                 }
             }
             else
             {
                 for(int n = 0; n < m_planes.num_elements(); ++n)
                 {
                     errL2 = m_planes[n]->L2(inarray + cnt, soln + cnt);
                     cnt  += m_planes[n]->GetTotPoints();
                     err  += errL2*errL2*local_w[n]*m_lhom*0.5;
                 }
             }
             m_comm->GetColumnComm()->AllReduce(err, LibUtilities::ReduceSum);
             
             return sqrt(err);
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_WriteTecplotConnectivity	(	std::ostream &	outfile,
		int	expansion
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 282 of file ExpList3DHomogeneous1D.cpp.

References ASSERTL0, and Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

         {
             ASSERTL0(expansion == -1, "Multi-zone output not supported for homogeneous expansions.");
 
             const int nPtsPlane = m_planes[0]->GetNpoints();
             const int nElmt     = m_planes[0]->GetExpSize();
             const int nPlanes   = m_planes.num_elements();
 
             int cnt = 0;
             int cnt2 = 0;
             for (int i = 0; i < nElmt; ++i)
             {
                 const int np0 = (*m_exp)[i]->GetNumPoints(0);
                 const int np1 = (*m_exp)[i]->GetNumPoints(1);
 
                 for (int n = 1; n < nPlanes; ++n)
                 {
                     const int o1 = (n-1) * nPtsPlane;
                     const int o2 =  n    * nPtsPlane;
                     for (int j = 1; j < np1; ++j)
                     {
                         for(int k = 1; k < np0; ++k)
                         {
                             outfile << cnt + (j-1)*np0 + (k-1) + o1 + 1 << " ";
                             outfile << cnt + (j-1)*np0 + (k-1) + o2 + 1 << " ";
                             outfile << cnt + (j-1)*np0 +  k    + o2 + 1 << " ";
                             outfile << cnt + (j-1)*np0 +  k    + o1 + 1 << " ";
                             outfile << cnt +  j   *np0 + (k-1) + o1 + 1 << " ";
                             outfile << cnt +  j   *np0 + (k-1) + o2 + 1 << " ";
                             outfile << cnt +  j   *np0 +  k    + o2 + 1 << " ";
                             outfile << cnt +  j   *np0 +  k    + o1 + 1 << endl;
                             cnt2++;
                         }
                     }
                 }
 
                 cnt += np0*np1;
             }
         }

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_WriteVtkPieceHeader	(	std::ostream &	outfile,
		int	expansion,
		int	istrip
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 323 of file ExpList3DHomogeneous1D.cpp.

References GetCoords(), Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, and Nektar::MultiRegions::ExpList::m_session.

         {
             int i,j,k;
             int nq0 = (*m_exp)[expansion]->GetNumPoints(0);
             int nq1 = (*m_exp)[expansion]->GetNumPoints(1);
             int nq2 = m_planes.num_elements();
             int ntot = nq0*nq1*nq2;
             int ntotminus = (nq0-1)*(nq1-1)*(nq2-1);
 
             Array<OneD,NekDouble> coords[3];
             coords[0] = Array<OneD,NekDouble>(ntot);
             coords[1] = Array<OneD,NekDouble>(ntot);
             coords[2] = Array<OneD,NekDouble>(ntot);
             GetCoords(expansion,coords[0],coords[1],coords[2]);
 
             NekDouble DistStrip;
             m_session->LoadParameter("DistStrip", DistStrip, 0);
             // Reset the z-coords for homostrips
             for(int i = 0; i < ntot; i++)
             {
                 coords[2][i] += istrip*DistStrip;
             }
 
             outfile << "    <Piece NumberOfPoints=\""
                     << ntot << "\" NumberOfCells=\""
                     << ntotminus << "\">" << endl;
             outfile << "      <Points>" << endl;
             outfile << "        <DataArray type=\"Float32\" "
                     << "NumberOfComponents=\"3\" format=\"ascii\">" << endl;
             outfile << "          ";
             for (i = 0; i < ntot; ++i)
             {
                 for (j = 0; j < 3; ++j)
                 {
                     outfile << coords[j][i] << " ";
                 }
                 outfile << endl;
             }
             outfile << endl;
             outfile << "        </DataArray>" << endl;
             outfile << "      </Points>" << endl;
             outfile << "      <Cells>" << endl;
             outfile << "        <DataArray type=\"Int32\" "
                     << "Name=\"connectivity\" format=\"ascii\">" << endl;
             for (i = 0; i < nq0-1; ++i)
             {
                 for (j = 0; j < nq1-1; ++j)
                 {
                     for (k = 0; k < nq2-1; ++k)
                     {
                         outfile << k*nq0*nq1     + j*nq0     + i     << " "
                                 << k*nq0*nq1     + j*nq0     + i + 1 << " "
                                 << k*nq0*nq1     + (j+1)*nq0 + i + 1 << " "
                                 << k*nq0*nq1     + (j+1)*nq0 + i     << " "
                                 << (k+1)*nq0*nq1 + j*nq0     + i     << " "
                                 << (k+1)*nq0*nq1 + j*nq0     + i + 1 << " "
                                 << (k+1)*nq0*nq1 + (j+1)*nq0 + i + 1 << " "
                                 << (k+1)*nq0*nq1 + (j+1)*nq0 + i     << endl;
                     }
                 }
             }
             outfile << endl;
             outfile << "        </DataArray>" << endl;
             outfile << "        <DataArray type=\"Int32\" "
                     << "Name=\"offsets\" format=\"ascii\">" << endl;
             for (i = 0; i < ntotminus; ++i)
             {
                 outfile << i*8+8 << " ";
             }
             outfile << endl;
             outfile << "        </DataArray>" << endl;
             outfile << "        <DataArray type=\"UInt8\" "
                     << "Name=\"types\" format=\"ascii\">" << endl;
             for (i = 0; i < ntotminus; ++i)
             {
                 outfile << "12 ";
             }
             outfile << endl;
             outfile << "        </DataArray>" << endl;
             outfile << "      </Cells>" << endl;
             outfile << "      <PointData>" << endl;
         }

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