#include <DisContField2D.h>

Inheritance diagram for Nektar::MultiRegions::DisContField2D:

Collaboration diagram for Nektar::MultiRegions::DisContField2D:

Public Member Functions
	DisContField2D ()
	Default constructor. More...

	DisContField2D (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &variable, const bool SetUpJustDG=true, const bool DeclareCoeffPhysArrays=true)
	Constructs a global discontinuous field based on an input mesh with boundary conditions. More...

	DisContField2D (const DisContField2D &In, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &variable, const bool SetUpJustDG=false, const bool DeclareCoeffPhysArrays=true)

	DisContField2D (const DisContField2D &In, const bool DeclareCoeffPhysArrays=true)

virtual	~DisContField2D ()
	Default destructor. More...

GlobalLinSysSharedPtr	GetGlobalBndLinSys (const GlobalLinSysKey &mkey)

NekDouble	L2_DGDeriv (const int dir, const Array< OneD, const NekDouble > &soln)
	Calculate the error of the $Q_{\rm dir}$ derivative using the consistent DG evaluation of $Q_{\rm dir}$ . More...

void	EvaluateHDGPostProcessing (Array< OneD, NekDouble > &outarray)
	Evaluate HDG post-processing to increase polynomial order of solution. More...

virtual ExpListSharedPtr &	v_GetTrace ()

Public Member Functions inherited from Nektar::MultiRegions::ExpList2D
	ExpList2D ()
	Default constructor. More...

	ExpList2D (const ExpList2D &In, const bool DeclareCoeffPhysArrays=true)
	Copy constructor. More...

	ExpList2D (const ExpList2D &In, const std::vector< unsigned int > &eIDs, const bool DeclareCoeffPhysArrays=true)
	Constructor copying only elements defined in eIds. More...

	ExpList2D (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph2D, const bool DelcareCoeffPhysArrays=true, const std::string &var="DefaultVar")
	Sets up a list of local expansions based on an input mesh. More...

	ExpList2D (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::ExpansionMap &expansions, const bool DeclareCoeffPhysArrays=true)
	Sets up a list of local expansions based on an expansion Map. More...

	ExpList2D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &TriBa, const LibUtilities::BasisKey &TriBb, const LibUtilities::BasisKey &QuadBa, const LibUtilities::BasisKey &QuadBb, const SpatialDomains::MeshGraphSharedPtr &graph2D, const LibUtilities::PointsType TriNb=LibUtilities::SIZE_PointsType)
	Sets up a list of local expansions based on an input mesh and separately defined basiskeys. More...

	ExpList2D (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, const ExpListSharedPtr > &bndConstraint, const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &bndCond, const LocalRegions::ExpansionVector &locexp, const SpatialDomains::MeshGraphSharedPtr &graph3D, const PeriodicMap &periodicFaces, const bool DeclareCoeffPhysArrays=true, const std::string variable="DefaultVar")

	ExpList2D (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::CompositeMap &domain, const SpatialDomains::MeshGraphSharedPtr &graph3D, const std::string variable="DefaultVar")
	Specialised constructor for Neumann boundary conditions in DisContField3D and ContField3D. More...

virtual	~ExpList2D ()
	Destructor. More...

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 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)

Protected Member Functions
const Array< OneD, const LibUtilities::BasisSharedPtr > &	GetBase () const
	This function gets the shared point to basis. More...

LibUtilities::BasisType	GetBasisType (const int dir) const
	This function returns the type of basis used in the dir direction. More...

void	SetUpDG (const std::string="DefaultVar")
	Set up all DG member variables and maps. More...

bool	SameTypeOfBoundaryConditions (const DisContField2D &In)

void	GenerateBoundaryConditionExpansion (const SpatialDomains::MeshGraphSharedPtr &graph2D, const SpatialDomains::BoundaryConditions &bcs, const std::string &variable, const bool DeclareCoeffPhysArrays=true)
	This function discretises the boundary conditions by setting up a list of one-dimensional boundary expansions. More...

void	FindPeriodicEdges (const SpatialDomains::BoundaryConditions &bcs, const std::string &variable)
	Determine the periodic edges and vertices for the given graph. More...

bool	IsLeftAdjacentEdge (const int n, const int e)

virtual void	v_GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)
	This method extracts the "forward" and "backward" trace data from the array field and puts the data into output vectors Fwd and Bwd. More...

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

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)
	Add trace contributions into elemental coefficient spaces. More...

virtual void	v_AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)
	Add trace contributions into elemental coefficient spaces. More...

virtual void	v_ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This method extracts the trace (edges in 2D) from the field inarray and puts the values in outarray. More...

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

virtual void	v_FillBndCondFromField ()

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

virtual void	v_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)
	Set up a list of element IDs and edge IDs that link to the boundary conditions. More...

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

virtual void	v_Reset ()
	Reset this field, so that geometry information can be updated. More...

virtual void	v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces)
	Obtain a copy of the periodic edges and vertices for this field. More...

virtual AssemblyMapDGSharedPtr &	v_GetTraceMap ()

virtual const Array< OneD, const MultiRegions::ExpListSharedPtr > &	v_GetBndCondExpansions ()

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

virtual MultiRegions::ExpListSharedPtr &	v_UpdateBndCondExpansion (int i)

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 ()
	Search through the edge expansions and identify which ones have Robin/Mixed type boundary conditions. More...

Protected Member Functions inherited from Nektar::MultiRegions::ExpList2D
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)
	Upwind the Fwd and Bwd states based on the one- dimensional normal velocity field given by Vn. More...

void	v_GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)
	For each local element, copy the normals stored in the element list into the array normals. More...

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 int	v_GetNumElmts (void)

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

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

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

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_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_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_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 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_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_ClearGlobalLinSysManager (void)

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

Protected Attributes
Array< OneD, LibUtilities::BasisSharedPtr >	m_base

Array< OneD, MultiRegions::ExpListSharedPtr >	m_bndCondExpansions
	An object which contains the discretised boundary conditions. More...

Array< OneD, SpatialDomains::BoundaryConditionShPtr >	m_bndConditions
	An array which contains the information about the boundary condition on the different boundary regions. More...

GlobalLinSysMapShPtr	m_globalBndMat

ExpListSharedPtr	m_trace

AssemblyMapDGSharedPtr	m_traceMap

LocTraceToTraceMapSharedPtr	m_locTraceToTraceMap

Array< OneD, Array< OneD, unsigned int > >	m_mapEdgeToElmn

Array< OneD, Array< OneD, unsigned int > >	m_signEdgeToElmn

Array< OneD, StdRegions::Orientation >	m_edgedir

std::set< int >	m_boundaryEdges
	A set storing the global IDs of any boundary edges. More...

PeriodicMap	m_periodicVerts
	A map which identifies groups of periodic vertices. More...

PeriodicMap	m_periodicEdges
	A map which identifies pairs of periodic edges. More...

vector< int >	m_periodicFwdCopy
	A vector indicating degress of freedom which need to be copied from forwards to backwards space in case of a periodic boundary condition. More...

vector< int >	m_periodicBwdCopy

vector< bool >	m_leftAdjacentEdges

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

Additional Inherited Members
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)

Detailed Description

Abstraction of a global discontinuous two-dimensional spectral/hp element expansion which approximates the solution of a set of partial differential equations.

Definition at line 52 of file DisContField2D.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::DisContField2D::DisContField2D ( void )

Default constructor.

Definition at line 62 of file DisContField2D.cpp.

         : ExpList2D          (),
           m_bndCondExpansions(),
           m_bndConditions    (),
           m_trace            (NullExpListSharedPtr)
         {
         }

Nektar::MultiRegions::DisContField2D::DisContField2D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const SpatialDomains::MeshGraphSharedPtr &	graph2D,
		const std::string &	variable,
		const bool	SetUpJustDG = `true`,
		const bool	DeclareCoeffPhysArrays = `true`
	)

Constructs a global discontinuous field based on an input mesh with boundary conditions.

Definition at line 98 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::EvaluateBoundaryConditions(), FindPeriodicEdges(), GenerateBoundaryConditionExpansion(), Nektar::MultiRegions::ExpList::GetBoundaryToElmtMap(), m_bndCondExpansions, Nektar::MultiRegions::ExpList::m_session, SetUpDG(), and Nektar::MultiRegions::ExpList::SetUpPhysNormals().

             : ExpList2D(pSession, graph2D, DeclareCoeffPhysArrays, variable),
               m_bndCondExpansions(),
               m_bndConditions(),
               m_trace(NullExpListSharedPtr),
               m_periodicVerts(),
               m_periodicEdges(),
               m_periodicFwdCopy(),
               m_periodicBwdCopy()
         {
 
             if (variable.compare("DefaultVar") != 0) // do not set up BCs if default variable
             {
                 SpatialDomains::BoundaryConditions bcs(m_session, graph2D);
                 GenerateBoundaryConditionExpansion(graph2D, bcs, variable,
                                                    DeclareCoeffPhysArrays);
                 
                 if (DeclareCoeffPhysArrays)
                 {
                     EvaluateBoundaryConditions(0.0, variable);
                 }
 
                 // Find periodic edges for this variable.
                 FindPeriodicEdges(bcs, variable);
             }
 
             if (SetUpJustDG)
             {
                 SetUpDG(variable);
             }
             else
             {
                 // Set element edges to point to Robin BC edges if required.
                 int i, cnt;
                 Array<OneD, int> ElmtID, EdgeID;
                 GetBoundaryToElmtMap(ElmtID, EdgeID);
 
                 for(cnt = i = 0; i < m_bndCondExpansions.num_elements(); ++i)
                 {
                     MultiRegions::ExpListSharedPtr locExpList;
                     int e;
                     locExpList = m_bndCondExpansions[i];
                     
                     for(e = 0; e < locExpList->GetExpSize(); ++e)
                     {
                         LocalRegions::Expansion2DSharedPtr exp2d =
                                 (*m_exp)[ElmtID[cnt+e]]->
                                         as<LocalRegions::Expansion2D>();
                         LocalRegions::Expansion1DSharedPtr exp1d =
                                 locExpList->GetExp(e)->
                                         as<LocalRegions::Expansion1D>();
                         LocalRegions::ExpansionSharedPtr   exp =
                                 locExpList->GetExp(e)->
                                         as<LocalRegions::Expansion>  ();
                         
                         exp2d->SetEdgeExp(EdgeID[cnt+e], exp1d);
                         exp1d->SetAdjacentElementExp(EdgeID[cnt+e], exp2d);
                     }
                     cnt += m_bndCondExpansions[i]->GetExpSize();
                 }
                 
                 if(m_session->DefinesSolverInfo("PROJECTION"))
                 {
                     std::string ProjectStr =
                          m_session->GetSolverInfo("PROJECTION");
                     if((ProjectStr == "MixedCGDG") ||
                        (ProjectStr == "Mixed_CG_Discontinuous"))
                     {
                         SetUpDG();
                     }
                     else
                     {
                         SetUpPhysNormals();
                     }
                 }
                 else
                 {
                     SetUpPhysNormals();
                 }
             }
         }

Nektar::MultiRegions::DisContField2D::DisContField2D	(	const DisContField2D &	In,
		const SpatialDomains::MeshGraphSharedPtr &	graph2D,
		const std::string &	variable,
		const bool	SetUpJustDG = `false`,
		const bool	DeclareCoeffPhysArrays = `true`
	)

Definition at line 190 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::EvaluateBoundaryConditions(), FindPeriodicEdges(), GenerateBoundaryConditionExpansion(), Nektar::MultiRegions::ExpList::GetBoundaryToElmtMap(), m_bndCondExpansions, m_boundaryEdges, m_globalBndMat, m_leftAdjacentEdges, m_locTraceToTraceMap, m_periodicBwdCopy, m_periodicEdges, m_periodicFwdCopy, m_periodicVerts, Nektar::MultiRegions::ExpList::m_session, m_trace, m_traceMap, SameTypeOfBoundaryConditions(), SetUpDG(), and Nektar::MultiRegions::ExpList::SetUpPhysNormals().

             : ExpList2D(In,DeclareCoeffPhysArrays),
               m_trace(NullExpListSharedPtr)
         {
             // Set up boundary conditions for this variable.
             // Do not set up BCs if default variable
             if(variable.compare("DefaultVar") != 0)
             {
                 SpatialDomains::BoundaryConditions bcs(m_session, graph2D);
                 GenerateBoundaryConditionExpansion(graph2D, bcs, variable);
                 
                 if (DeclareCoeffPhysArrays)
                 {
                     EvaluateBoundaryConditions(0.0, variable);
                 }
             
                 if (!SameTypeOfBoundaryConditions(In))
                 {
                     // Find periodic edges for this variable.
                     FindPeriodicEdges(bcs, variable);
                     
                     if(SetUpJustDG)
                     {
                         SetUpDG();
                     }
                     else
                     {
                         // set elmt edges to point to robin bc edges if required
                         int i, cnt = 0;
                         Array<OneD, int> ElmtID,EdgeID;
                         GetBoundaryToElmtMap(ElmtID,EdgeID);
                         
                         for (i = 0; i < m_bndCondExpansions.num_elements(); ++i)
                         {
                             MultiRegions::ExpListSharedPtr locExpList;
                             
                             int e;
                             locExpList = m_bndCondExpansions[i];
                             
                             for(e = 0; e < locExpList->GetExpSize(); ++e)
                             {
                                 LocalRegions::Expansion2DSharedPtr exp2d
                                     = (*m_exp)[ElmtID[cnt+e]]->
                                     as<LocalRegions::Expansion2D>();
                                 LocalRegions::Expansion1DSharedPtr exp1d
                                     = locExpList->GetExp(e)->
                                     as<LocalRegions::Expansion1D>();
                                 LocalRegions::ExpansionSharedPtr   exp
                                     = locExpList->GetExp(e)->
                                     as<LocalRegions::Expansion>  ();
                                 
                                 exp2d->SetEdgeExp(EdgeID[cnt+e], exp1d);
                                 exp1d->SetAdjacentElementExp(EdgeID[cnt+e],
                                                              exp2d);
                             }
                             
                             cnt += m_bndCondExpansions[i]->GetExpSize();
                         }
                         
                         
                         if (m_session->DefinesSolverInfo("PROJECTION"))
                         {
                             std::string ProjectStr =
                                 m_session->GetSolverInfo("PROJECTION");
                             
                             if ((ProjectStr == "MixedCGDG") ||
                                 (ProjectStr == "Mixed_CG_Discontinuous"))
                             {
                                 SetUpDG();
                             }
                             else
                             {
                                 SetUpPhysNormals();
                             }
                         }
                         else
                         {
                             SetUpPhysNormals();
                         }
                     }
                 }
                 else
                 {
                     if (SetUpJustDG)
                     {
                         m_globalBndMat       = In.m_globalBndMat;
                         m_trace              = In.m_trace;
                         m_traceMap           = In.m_traceMap;
                         m_locTraceToTraceMap = In.m_locTraceToTraceMap;
                         m_periodicEdges      = In.m_periodicEdges;
                         m_periodicVerts      = In.m_periodicVerts;
                         m_periodicFwdCopy    = In.m_periodicFwdCopy;
                         m_periodicBwdCopy    = In.m_periodicBwdCopy;
                         m_boundaryEdges      = In.m_boundaryEdges;
                         m_leftAdjacentEdges  = In.m_leftAdjacentEdges;
                     }
                     else 
                     {
                         m_globalBndMat       = In.m_globalBndMat;
                         m_trace              = In.m_trace;
                         m_traceMap           = In.m_traceMap;
                         m_locTraceToTraceMap = In.m_locTraceToTraceMap;
                         m_periodicEdges      = In.m_periodicEdges;
                         m_periodicVerts      = In.m_periodicVerts;
                         m_periodicFwdCopy    = In.m_periodicFwdCopy;
                         m_periodicBwdCopy    = In.m_periodicBwdCopy;
                         m_boundaryEdges      = In.m_boundaryEdges;
                         m_leftAdjacentEdges  = In.m_leftAdjacentEdges;
                         
                         // set elmt edges to point to robin bc edges if required
                         int i, cnt = 0;
                         Array<OneD, int> ElmtID, EdgeID;
                         GetBoundaryToElmtMap(ElmtID, EdgeID);
                         
                         for (i = 0; i < m_bndCondExpansions.num_elements(); ++i)
                         {
                             MultiRegions::ExpListSharedPtr locExpList;
                             
                             int e;
                             locExpList = m_bndCondExpansions[i];
                             
                             for (e = 0; e < locExpList->GetExpSize(); ++e)
                             {
                                 LocalRegions::Expansion2DSharedPtr exp2d
                                     = (*m_exp)[ElmtID[cnt+e]]->
                                     as<LocalRegions::Expansion2D>();
                                 LocalRegions::Expansion1DSharedPtr exp1d
                                     = locExpList->GetExp(e)->
                                     as<LocalRegions::Expansion1D>();
                                 LocalRegions::ExpansionSharedPtr   exp
                                     = locExpList->GetExp(e)->
                                     as<LocalRegions::Expansion>  ();
                                 
                                 exp2d->SetEdgeExp(EdgeID[cnt+e], exp1d);
                                 exp1d->SetAdjacentElementExp(EdgeID[cnt+e],
                                                              exp2d);
                             }
                             cnt += m_bndCondExpansions[i]->GetExpSize();
                         }
                     
                         SetUpPhysNormals();
                     }
                 }
             }
         }

Nektar::MultiRegions::DisContField2D::DisContField2D	(	const DisContField2D &	In,
		const bool	DeclareCoeffPhysArrays = `true`
	)

Definition at line 70 of file DisContField2D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and m_trace.

             : ExpList2D            (In,DeclareCoeffPhysArrays),
               m_bndCondExpansions  (In.m_bndCondExpansions),
               m_bndConditions      (In.m_bndConditions),
               m_globalBndMat       (In.m_globalBndMat),
               m_traceMap           (In.m_traceMap),
               m_locTraceToTraceMap (In.m_locTraceToTraceMap),
               m_boundaryEdges      (In.m_boundaryEdges),
               m_periodicVerts      (In.m_periodicVerts),
               m_periodicEdges      (In.m_periodicEdges),
               m_periodicFwdCopy    (In.m_periodicFwdCopy),
               m_periodicBwdCopy    (In.m_periodicBwdCopy),
               m_leftAdjacentEdges  (In.m_leftAdjacentEdges)
         {
             if (In.m_trace)
             {
                 m_trace = MemoryManager<ExpList1D>::AllocateSharedPtr(
                     *boost::dynamic_pointer_cast<ExpList1D>(In.m_trace),
                     DeclareCoeffPhysArrays);
             }
         }

Nektar::MultiRegions::DisContField2D::~DisContField2D ( )

virtual

Default destructor.

Definition at line 344 of file DisContField2D.cpp.

345 {

346 }

Member Function Documentation

void Nektar::MultiRegions::DisContField2D::EvaluateHDGPostProcessing ( Array< OneD, NekDouble > & outarray )

Evaluate HDG post-processing to increase polynomial order of solution.

This function takes the solution (assumed to be one order lower) in physical space, and postprocesses at the current polynomial order by solving the system:

$\begin{aligned} (\nabla w, \nabla u^*) &= (\nabla w, u), \\ \langle \nabla u^*, 1 \rangle &= \langle \nabla u, 1 \rangle \end{aligned}$

where $ u $ corresponds with the current solution as stored inside m_coeffs.

Parameters

outarray The resulting field .

Definition at line 2084 of file DisContField2D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGaussRadauMAlpha1Beta0, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eQuadrilateral, Nektar::LibUtilities::eTriangle, Nektar::eWrapper, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::NekVector< DataType >::GetPtr(), Nektar::MultiRegions::ExpList::m_coeff_offset, Nektar::MultiRegions::ExpList::m_coeffs, Nektar::MultiRegions::ExpList::m_offset_elmt_id, m_trace, m_traceMap, Vmath::Vadd(), and Vmath::Vcopy().

         {
             int    i,cnt,e,ncoeff_edge;
             Array<OneD, NekDouble> force, out_tmp, qrhs, qrhs1;
             Array<OneD, Array< OneD, LocalRegions::ExpansionSharedPtr> > 
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             StdRegions::Orientation edgedir;
 
             int     eid,nq_elmt, nm_elmt;
             int     LocBndCoeffs = m_traceMap->GetNumLocalBndCoeffs();
             Array<OneD, NekDouble> loc_lambda(LocBndCoeffs), edge_lambda;
             Array<OneD, NekDouble> tmp_coeffs;
             m_traceMap->GlobalToLocalBnd(m_trace->GetCoeffs(),loc_lambda);
 
             edge_lambda = loc_lambda;
 
             // Calculate Q using standard DG formulation.
             for(i = cnt = 0; i < GetExpSize(); ++i)
             {
                 eid = m_offset_elmt_id[i];
 
                 nq_elmt = (*m_exp)[eid]->GetTotPoints();
                 nm_elmt = (*m_exp)[eid]->GetNcoeffs();
                 qrhs  = Array<OneD, NekDouble>(nq_elmt);
                 qrhs1  = Array<OneD, NekDouble>(nq_elmt);
                 force = Array<OneD, NekDouble>(2*nm_elmt);
                 out_tmp = force + nm_elmt;
                 LocalRegions::ExpansionSharedPtr ppExp;
 
                 int num_points0 = (*m_exp)[eid]->GetBasis(0)->GetNumPoints();
                 int num_points1 = (*m_exp)[eid]->GetBasis(1)->GetNumPoints();
                 int num_modes0 = (*m_exp)[eid]->GetBasis(0)->GetNumModes();
                 int num_modes1 = (*m_exp)[eid]->GetBasis(1)->GetNumModes();
 
                 // Probably a better way of setting up lambda than this.  Note
                 // cannot use PutCoeffsInToElmts since lambda space is mapped
                 // during the solve.
                 int nEdges = (*m_exp)[i]->GetNedges();
                 Array<OneD, Array<OneD, NekDouble> > edgeCoeffs(nEdges);
 
                 for(e = 0; e < (*m_exp)[eid]->GetNedges(); ++e)
                 {
                     edgedir = (*m_exp)[eid]->GetEorient(e);
                     ncoeff_edge = elmtToTrace[eid][e]->GetNcoeffs();
                     edgeCoeffs[e] = Array<OneD, NekDouble>(ncoeff_edge);
                     Vmath::Vcopy(ncoeff_edge, edge_lambda, 1, edgeCoeffs[e], 1);
                     elmtToTrace[eid][e]->SetCoeffsToOrientation(
                         edgedir, edgeCoeffs[e], edgeCoeffs[e]);
                     edge_lambda = edge_lambda + ncoeff_edge;
                 }
 
                 //creating orthogonal expansion (checking if we have quads or triangles)
                 LibUtilities::ShapeType shape = (*m_exp)[eid]->DetShapeType();
                 switch(shape)
                 {
                     case LibUtilities::eQuadrilateral:
                     {
                         const LibUtilities::PointsKey PkeyQ1(num_points0,LibUtilities::eGaussLobattoLegendre);
                         const LibUtilities::PointsKey PkeyQ2(num_points1,LibUtilities::eGaussLobattoLegendre);
                         LibUtilities::BasisKey  BkeyQ1(LibUtilities::eOrtho_A, num_modes0, PkeyQ1);
                         LibUtilities::BasisKey  BkeyQ2(LibUtilities::eOrtho_A, num_modes1, PkeyQ2);
                         SpatialDomains::QuadGeomSharedPtr qGeom = boost::dynamic_pointer_cast<SpatialDomains::QuadGeom>((*m_exp)[eid]->GetGeom());
                         ppExp = MemoryManager<LocalRegions::QuadExp>::AllocateSharedPtr(BkeyQ1, BkeyQ2, qGeom);
                     }
                     break;
                     case LibUtilities::eTriangle:
                     {
                         const LibUtilities::PointsKey PkeyT1(num_points0,LibUtilities::eGaussLobattoLegendre);
                         const LibUtilities::PointsKey PkeyT2(num_points1,LibUtilities::eGaussRadauMAlpha1Beta0);
                         LibUtilities::BasisKey  BkeyT1(LibUtilities::eOrtho_A, num_modes0, PkeyT1);
                         LibUtilities::BasisKey  BkeyT2(LibUtilities::eOrtho_B, num_modes1, PkeyT2);
                         SpatialDomains::TriGeomSharedPtr tGeom = boost::dynamic_pointer_cast<SpatialDomains::TriGeom>((*m_exp)[eid]->GetGeom());
                         ppExp = MemoryManager<LocalRegions::TriExp>::AllocateSharedPtr(BkeyT1, BkeyT2, tGeom);
                     }
                     break;
                     default:
                         ASSERTL0(false, "Wrong shape type, HDG postprocessing is not implemented");
                 };
 
                
                 //DGDeriv    
                 // (d/dx w, d/dx q_0)
                 (*m_exp)[eid]->DGDeriv(
                     0,tmp_coeffs = m_coeffs + m_coeff_offset[eid],
                     elmtToTrace[eid], edgeCoeffs, out_tmp);
                 (*m_exp)[eid]->BwdTrans(out_tmp,qrhs);
                 //(*m_exp)[eid]->IProductWRTDerivBase(0,qrhs,force);
                 ppExp->IProductWRTDerivBase(0,qrhs,force);
 
 
                 // + (d/dy w, d/dy q_1)
                 (*m_exp)[eid]->DGDeriv(
                     1,tmp_coeffs = m_coeffs + m_coeff_offset[eid],
                     elmtToTrace[eid], edgeCoeffs, out_tmp);
 
                 (*m_exp)[eid]->BwdTrans(out_tmp,qrhs);
                 //(*m_exp)[eid]->IProductWRTDerivBase(1,qrhs,out_tmp);
                 ppExp->IProductWRTDerivBase(1,qrhs,out_tmp);
 
                 Vmath::Vadd(nm_elmt,force,1,out_tmp,1,force,1);
 
                 // determine force[0] = (1,u)
                 (*m_exp)[eid]->BwdTrans(
                     tmp_coeffs = m_coeffs + m_coeff_offset[eid],qrhs);
                 force[0] = (*m_exp)[eid]->Integral(qrhs);
 
                 // multiply by inverse Laplacian matrix
                 // get matrix inverse
                 LocalRegions::MatrixKey  lapkey(StdRegions::eInvLaplacianWithUnityMean, ppExp->DetShapeType(), *ppExp);
                 DNekScalMatSharedPtr lapsys = ppExp->GetLocMatrix(lapkey); 
                 
                 NekVector<NekDouble> in (nm_elmt,force,eWrapper);
                 NekVector<NekDouble> out(nm_elmt);
 
                 out = (*lapsys)*in;
 
                 // Transforming back to modified basis
                 Array<OneD, NekDouble> work(nq_elmt);
                 ppExp->BwdTrans(out.GetPtr(), work);
                 (*m_exp)[eid]->FwdTrans(work, tmp_coeffs = outarray + m_coeff_offset[eid]);
             }
         }

void Nektar::MultiRegions::DisContField2D::FindPeriodicEdges	(	const SpatialDomains::BoundaryConditions &	bcs,
		const std::string &	variable
	)

protected

Determine the periodic edges and vertices for the given graph.

Note that much of this routine is the same as the three-dimensional version, which therefore has much better documentation.

Parameters

bcs	Information about the boundary conditions.
variable	Specifies the field.

See also: DisContField3D::FindPeriodicFaces

Definition at line 705 of file DisContField2D.cpp.

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::StdRegions::eNoOrientation, Nektar::SpatialDomains::ePeriodic, Nektar::MultiRegions::ExpList::GetBoundaryCondition(), Nektar::SpatialDomains::BoundaryConditions::GetBoundaryConditions(), Nektar::SpatialDomains::BoundaryConditions::GetBoundaryRegions(), Nektar::iterator, Nektar::MultiRegions::ExpList::m_graph, m_periodicEdges, m_periodicVerts, Nektar::MultiRegions::ExpList::m_session, Nektar::LibUtilities::ReduceSum, and Vmath::Vsum().

Referenced by DisContField2D().

         {
             const SpatialDomains::BoundaryRegionCollection &bregions
                 = bcs.GetBoundaryRegions();
             const SpatialDomains::BoundaryConditionCollection &bconditions
                 = bcs.GetBoundaryConditions();
             SpatialDomains::MeshGraph2DSharedPtr graph2D
                 = boost::dynamic_pointer_cast<
                     SpatialDomains::MeshGraph2D>(m_graph);
             SpatialDomains::BoundaryRegionCollection::const_iterator it;
 
             LibUtilities::CommSharedPtr     vComm       =
                 m_session->GetComm()->GetRowComm();
             LibUtilities::CompositeOrdering compOrder   =
                 m_session->GetCompositeOrdering();
             LibUtilities::BndRegionOrdering bndRegOrder =
                 m_session->GetBndRegionOrdering();
             SpatialDomains::CompositeMap    compMap     =
                 m_graph->GetComposites();
             
             // Unique collection of pairs of periodic composites (i.e. if
             // composites 1 and 2 are periodic then this map will contain either
             // the pair (1,2) or (2,1) but not both).
             map<int,int>                     perComps;
             map<int,vector<int> >            allVerts;
             set<int>                         locVerts;
             map<int,StdRegions::Orientation> allEdges;
             
             int region1ID, region2ID, i, j, k, cnt;
             SpatialDomains::BoundaryConditionShPtr locBCond;
 
             // Set up a set of all local verts and edges. 
             for(i = 0; i < (*m_exp).size(); ++i)
             {
                 for(j = 0; j < (*m_exp)[i]->GetNverts(); ++j)
                 {
                     int id = (*m_exp)[i]->GetGeom()->GetVid(j);
                     locVerts.insert(id);
                 }
             }
 
             // Construct list of all periodic pairs local to this process.
             for (it = bregions.begin(); it != bregions.end(); ++it)
             {
                 locBCond = GetBoundaryCondition(
                     bconditions, it->first, variable);
 
                 if (locBCond->GetBoundaryConditionType()
                         != SpatialDomains::ePeriodic)
                 {
                     continue;
                 }
 
                 // Identify periodic boundary region IDs.
                 region1ID = it->first;
                 region2ID = boost::static_pointer_cast<
                     SpatialDomains::PeriodicBoundaryCondition>(
                         locBCond)->m_connectedBoundaryRegion;
 
                 // From this identify composites. Note that in serial this will
                 // be an empty map.
                 int cId1, cId2;
                 if (vComm->GetSize() == 1)
                 {
                     cId1 = it->second->begin()->first;
                     cId2 = bregions.find(region2ID)->second->begin()->first;
                 }
                 else
                 {
                     cId1 = bndRegOrder.find(region1ID)->second[0];
                     cId2 = bndRegOrder.find(region2ID)->second[0];
                 }
                 
                 ASSERTL0(it->second->size() == 1,
                          "Boundary region "+boost::lexical_cast<string>(
                              region1ID)+" should only contain 1 composite.");
 
                 // Construct set containing all periodic edges on this process
                 SpatialDomains::Composite c = it->second->begin()->second;
 
                 vector<unsigned int> tmpOrder;
                 
                 for (i = 0; i < c->size(); ++i)
                 {
                     SpatialDomains::SegGeomSharedPtr segGeom =
                         boost::dynamic_pointer_cast<
                             SpatialDomains::SegGeom>((*c)[i]);
                     ASSERTL0(segGeom, "Unable to cast to shared ptr");
 
                     SpatialDomains::ElementEdgeVectorSharedPtr elmt =
                         graph2D->GetElementsFromEdge(segGeom);
                     ASSERTL0(elmt->size() == 1,
                              "The periodic boundaries belong to "
                              "more than one element of the mesh");
 
                     SpatialDomains::Geometry2DSharedPtr geom =
                         boost::dynamic_pointer_cast<SpatialDomains::Geometry2D>(
                             (*elmt)[0]->m_Element);
                     
                     allEdges[(*c)[i]->GetGlobalID()] = 
                         geom->GetEorient((*elmt)[0]->m_EdgeIndx);
 
                     // In serial mesh partitioning will not have occurred so
                     // need to fill composite ordering map manually.
                     if (vComm->GetSize() == 1)
                     {
                         tmpOrder.push_back((*c)[i]->GetGlobalID());
                     }
                     
                     vector<int> vertList(2);
                     vertList[0] = segGeom->GetVid(0);
                     vertList[1] = segGeom->GetVid(1);
                     allVerts[(*c)[i]->GetGlobalID()] = vertList;
                 }
 
                 if (vComm->GetSize() == 1)
                 {
                     compOrder[it->second->begin()->first] = tmpOrder;
                 }
                 
                 // See if we already have either region1 or region2 stored in
                 // perComps map.
                 if (perComps.count(cId1) == 0)
                 {
                     if (perComps.count(cId2) == 0)
                     {
                         perComps[cId1] = cId2;
                     }
                     else
                     {
                         std::stringstream ss;
                         ss << "Boundary region " << cId2 << " should be "
                            << "periodic with " << perComps[cId2] << " but "
                            << "found " << cId1 << " instead!";
                         ASSERTL0(perComps[cId2] == cId1, ss.str());
                     }
                 }
                 else
                 {
                     std::stringstream ss;
                     ss << "Boundary region " << cId1 << " should be "
                        << "periodic with " << perComps[cId1] << " but "
                        << "found " << cId2 << " instead!";
                     ASSERTL0(perComps[cId1] == cId1, ss.str());
                 }
             }
 
             // Process local edge list to obtain relative edge orientations.
             int              n = vComm->GetSize();
             int              p = vComm->GetRank();
             int              totEdges;
             Array<OneD, int> edgecounts(n,0);
             Array<OneD, int> edgeoffset(n,0);
             Array<OneD, int> vertoffset(n,0);
 
             edgecounts[p] = allEdges.size();
             vComm->AllReduce(edgecounts, LibUtilities::ReduceSum);
 
             edgeoffset[0] = 0;
             for (i = 1; i < n; ++i)
             {
                 edgeoffset[i] = edgeoffset[i-1] + edgecounts[i-1];
             }
 
             totEdges = Vmath::Vsum(n, edgecounts, 1);
             Array<OneD, int> edgeIds   (totEdges, 0);
             Array<OneD, int> edgeOrient(totEdges, 0);
             Array<OneD, int> edgeVerts (totEdges, 0);
 
             map<int, StdRegions::Orientation>::iterator sIt;
 
             for (i = 0, sIt = allEdges.begin(); sIt != allEdges.end(); ++sIt)
             {
                 edgeIds   [edgeoffset[p] + i  ] = sIt->first;
                 edgeOrient[edgeoffset[p] + i  ] = sIt->second;
                 edgeVerts [edgeoffset[p] + i++] = allVerts[sIt->first].size();
             }
 
             vComm->AllReduce(edgeIds,    LibUtilities::ReduceSum);
             vComm->AllReduce(edgeOrient, LibUtilities::ReduceSum);
             vComm->AllReduce(edgeVerts,  LibUtilities::ReduceSum);
 
             // Calculate number of vertices on each processor.
             Array<OneD, int> procVerts(n,0);
             int nTotVerts;
 
             // Note if there are no periodic edges at all calling Vsum will
             // cause a segfault.
             if (totEdges > 0)
             {
                 nTotVerts = Vmath::Vsum(totEdges, edgeVerts, 1);
             }
             else
             {
                 nTotVerts = 0;
             }
 
             for (i = 0; i < n; ++i)
             {
                 if (edgecounts[i] > 0)
                 {
                     procVerts[i] = Vmath::Vsum(
                         edgecounts[i], edgeVerts + edgeoffset[i], 1);
                 }
                 else
                 {
                     procVerts[i] = 0;
                 }
             }
             vertoffset[0] = 0;
 
             for (i = 1; i < n; ++i)
             {
                 vertoffset[i] = vertoffset[i-1] + procVerts[i-1];
             }
 
             Array<OneD, int> vertIds(nTotVerts, 0);
             for (i = 0, sIt = allEdges.begin(); sIt != allEdges.end(); ++sIt)
             {
                 for (j = 0; j < allVerts[sIt->first].size(); ++j)
                 {
                     vertIds[vertoffset[p] + i++] = allVerts[sIt->first][j];
                 }
             }
 
             vComm->AllReduce(vertIds, LibUtilities::ReduceSum);
             
             // For simplicity's sake create a map of edge id -> orientation.
             map<int, StdRegions::Orientation> orientMap;
             map<int, vector<int> >            vertMap;
 
             for (cnt = i = 0; i < totEdges; ++i)
             {
                 ASSERTL0(orientMap.count(edgeIds[i]) == 0,
                          "Already found edge in orientation map!");
                 orientMap[edgeIds[i]] = (StdRegions::Orientation)edgeOrient[i];
 
                 vector<int> verts(edgeVerts[i]);
 
                 for (j = 0; j < edgeVerts[i]; ++j)
                 {
                     verts[j] = vertIds[cnt++];
                 }
                 vertMap[edgeIds[i]] = verts;
             }
             
             // Go through list of composites and figure out which edges are
             // parallel from original ordering in session file. This includes
             // composites which are not necessarily on this process.
             map<int,int>::iterator cIt, pIt;
             map<int,int>::const_iterator oIt;
 
             map<int,int> allCompPairs;
 
             // Store temporary map of periodic vertices which will hold all
             // periodic vertices on the entire mesh so that doubly periodic
             // vertices can be counted properly across partitions. Local
             // vertices are copied into m_periodicVerts at the end of the
             // function.
             PeriodicMap periodicVerts;
                 
             for (cIt = perComps.begin(); cIt != perComps.end(); ++cIt)
             {
                 SpatialDomains::Composite c[2];
                 const int   id1  = cIt->first;
                 const int   id2  = cIt->second;
                 std::string id1s = boost::lexical_cast<string>(id1);
                 std::string id2s = boost::lexical_cast<string>(id2);
 
                 if (compMap.count(id1) > 0)
                 {
                     c[0] = compMap[id1];
                 }
 
                 if (compMap.count(id2) > 0)
                 {
                     c[1] = compMap[id2];
                 }
 
                 ASSERTL0(c[0] || c[1],
                          "Both composites not found on this process!");
 
                 // Loop over composite ordering to construct list of all
                 // periodic edges regardless of whether they are on this
                 // process.
                 map<int,int> compPairs;
 
                 ASSERTL0(compOrder.count(id1) > 0,
                          "Unable to find composite "+id1s+" in order map.");
                 ASSERTL0(compOrder.count(id2) > 0,
                          "Unable to find composite "+id2s+" in order map.");
                 ASSERTL0(compOrder[id1].size() == compOrder[id2].size(),
                          "Periodic composites "+id1s+" and "+id2s+
                          " should have the same number of elements.");
                 ASSERTL0(compOrder[id1].size() > 0,
                          "Periodic composites "+id1s+" and "+id2s+
                          " are empty!");
 
                 // TODO: Add more checks.
                 for (i = 0; i < compOrder[id1].size(); ++i)
                 {
                     int eId1 = compOrder[id1][i];
                     int eId2 = compOrder[id2][i];
 
                     ASSERTL0(compPairs.count(eId1) == 0,
                              "Already paired.");
 
                     if (compPairs.count(eId2) != 0)
                     {
                         ASSERTL0(compPairs[eId2] == eId1, "Pairing incorrect");
                     }
                     compPairs[eId1] = eId2;
                 }
 
                 // Construct set of all edges that we have locally on this
                 // processor.
                 set<int> locEdges;
                 set<int>::iterator sIt;
                 for (i = 0; i < 2; ++i)
                 {
                     if (!c[i])
                     {
                         continue;
                     }
 
                     if (c[i]->size() > 0)
                     {
                         for (j = 0; j < c[i]->size(); ++j)
                         {
                             locEdges.insert(c[i]->at(j)->GetGlobalID());
                         }
                     }
                 }
 
                 // Loop over all edges in the geometry composite.
                 for (pIt = compPairs.begin(); pIt != compPairs.end(); ++pIt)
                 {
                     int  ids  [2] = {pIt->first, pIt->second};
                     bool local[2] = {locEdges.count(pIt->first) > 0,
                                      locEdges.count(pIt->second) > 0};
 
                     ASSERTL0(orientMap.count(ids[0]) > 0 &&
                              orientMap.count(ids[1]) > 0,
                              "Unable to find edge in orientation map.");
 
                     allCompPairs[pIt->first ] = pIt->second;
                     allCompPairs[pIt->second] = pIt->first;
 
                     for (i = 0; i < 2; ++i)
                     {
                         if (!local[i])
                         {
                             continue;
                         }
 
                         int other = (i+1) % 2;
 
                         StdRegions::Orientation o =
                             orientMap[ids[i]] == orientMap[ids[other]] ?
                                 StdRegions::eBackwards :
                                 StdRegions::eForwards;
                         
                         PeriodicEntity ent(ids  [other], o,
                                            local[other]);
                         m_periodicEdges[ids[i]].push_back(ent);
                     }
 
                     for (i = 0; i < 2; ++i)
                     {
                         int other = (i+1) % 2;
 
                         StdRegions::Orientation o =
                             orientMap[ids[i]] == orientMap[ids[other]] ?
                                 StdRegions::eBackwards :
                             StdRegions::eForwards;
 
                         // Determine periodic vertices.
                         vector<int> perVerts1 = vertMap[ids[i]];
                         vector<int> perVerts2 = vertMap[ids[other]];
 
                         map<int, pair<int, bool> > tmpMap;
                         map<int, pair<int, bool> >::iterator mIt;
                         if (o == StdRegions::eForwards)
                         {
                             tmpMap[perVerts1[0]] = make_pair(
                                 perVerts2[0], locVerts.count(perVerts2[0]) > 0);
                             tmpMap[perVerts1[1]] = make_pair(
                                 perVerts2[1], locVerts.count(perVerts2[1]) > 0);
                         }
                         else
                         {
                             tmpMap[perVerts1[0]] = make_pair(
                                 perVerts2[1], locVerts.count(perVerts2[1]) > 0);
                             tmpMap[perVerts1[1]] = make_pair(
                                 perVerts2[0], locVerts.count(perVerts2[0]) > 0);
                         }
 
                         for (mIt = tmpMap.begin(); mIt != tmpMap.end(); ++mIt)
                         {
                             // See if this vertex has been recorded already.
                             PeriodicEntity ent2(mIt->second.first,
                                                 StdRegions::eNoOrientation,
                                                 mIt->second.second);
                             PeriodicMap::iterator perIt = periodicVerts.find(
                                 mIt->first);
 
                             if (perIt == periodicVerts.end())
                             {
                                 periodicVerts[mIt->first].push_back(ent2);
                                 perIt = periodicVerts.find(mIt->first);
                             }
                             else
                             {
                                 bool doAdd = true;
                                 for (j = 0; j < perIt->second.size(); ++j)
                                 {
                                     if (perIt->second[j].id == mIt->second.first)
                                     {
                                         doAdd = false;
                                         break;
                                     }
                                 }
 
                                 if (doAdd)
                                 {
                                     perIt->second.push_back(ent2);
                                 }
                             }
                         }
                     }
                 }
             }
 
             Array<OneD, int> pairSizes(n, 0);
             pairSizes[p] = allCompPairs.size();
             vComm->AllReduce(pairSizes, LibUtilities::ReduceSum);
 
             int totPairSizes = Vmath::Vsum(n, pairSizes, 1);
 
             Array<OneD, int> pairOffsets(n, 0);
             pairOffsets[0] = 0;
 
             for (i = 1; i < n; ++i)
             {
                 pairOffsets[i] = pairOffsets[i-1] + pairSizes[i-1];
             }
 
             Array<OneD, int> first (totPairSizes, 0);
             Array<OneD, int> second(totPairSizes, 0);
 
             cnt = pairOffsets[p];
 
             for (pIt = allCompPairs.begin(); pIt != allCompPairs.end(); ++pIt)
             {
                 first [cnt  ] = pIt->first;
                 second[cnt++] = pIt->second;
             }
 
             vComm->AllReduce(first,  LibUtilities::ReduceSum);
             vComm->AllReduce(second, LibUtilities::ReduceSum);
 
             allCompPairs.clear();
 
             for(cnt = 0; cnt < totPairSizes; ++cnt)
             {
                 allCompPairs[first[cnt]] = second[cnt];
             }
 
             // Search for periodic vertices and edges which are not in
             // a periodic composite but lie in this process. First, loop
             // over all information we have from other processors.
             for (cnt = i = 0; i < totEdges; ++i)
             {
                 int edgeId    = edgeIds[i];
 
                 ASSERTL0(allCompPairs.count(edgeId) > 0,
                          "Unable to find matching periodic edge.");
 
                 int perEdgeId = allCompPairs[edgeId];
 
                 for (j = 0; j < edgeVerts[i]; ++j, ++cnt)
                 {
                     int vId = vertIds[cnt];
 
                     PeriodicMap::iterator perId = periodicVerts.find(vId);
 
                     if (perId == periodicVerts.end())
                     {
                         // This vertex is not included in the map. Figure
                         // out which vertex it is supposed to be periodic
                         // with. perEdgeId is the edge ID which is periodic with
                         // edgeId. The logic is much the same as the loop above.
                         int perVertexId =
                             orientMap[edgeId] == orientMap[perEdgeId] ?
                             vertMap[perEdgeId][(j+1)%2] : vertMap[perEdgeId][j];
 
                         PeriodicEntity ent(perVertexId,
                                            StdRegions::eNoOrientation,
                                            locVerts.count(perVertexId) > 0);
 
                         periodicVerts[vId].push_back(ent);
                     }
                 }
             }
 
             // Loop over all periodic vertices to complete connectivity
             // information.
             PeriodicMap::iterator perIt, perIt2;
             for (perIt  = periodicVerts.begin();
                  perIt != periodicVerts.end(); ++perIt)
             {
                 // Loop over associated vertices.
                 for (i = 0; i < perIt->second.size(); ++i)
                 {
                     perIt2 = periodicVerts.find(perIt->second[i].id);
                     ASSERTL0(perIt2 != periodicVerts.end(),
                              "Couldn't find periodic vertex.");
                     
                     for (j = 0; j < perIt2->second.size(); ++j)
                     {
                         if (perIt2->second[j].id == perIt->first)
                         {
                             continue;
                         }
 
                         bool doAdd = true;
                         for (k = 0; k < perIt->second.size(); ++k)
                         {
                             if (perIt2->second[j].id == perIt->second[k].id)
                             {
                                 doAdd = false;
                                 break;
                             }
                         }
 
                         if (doAdd)
                         {
                             perIt->second.push_back(perIt2->second[j]);
                         }
                     }
                 }
             }
 
             // Do one final loop over periodic vertices to remove non-local
             // vertices from map.
             for (perIt  = periodicVerts.begin();
                  perIt != periodicVerts.end(); ++perIt)
             {
                 if (locVerts.count(perIt->first) > 0)
                 {
                     m_periodicVerts.insert(*perIt);
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::GenerateBoundaryConditionExpansion	(	const SpatialDomains::MeshGraphSharedPtr &	graph2D,
		const SpatialDomains::BoundaryConditions &	bcs,
		const std::string &	variable,
		const bool	DeclareCoeffPhysArrays = `true`
	)

protected

This function discretises the boundary conditions by setting up a list of one-dimensional boundary expansions.

According to their boundary region, the separate segmental boundary expansions are bundled together in an object of the class MultiRegions::ExpList1D.

Parameters

graph2D	A mesh, containing information about the domain and the spectral/hp element expansion.
bcs	An entity containing information about the boundaries and boundary conditions.
variable	An optional parameter to indicate for which variable the boundary conditions should be discretised.

Definition at line 628 of file DisContField2D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::SpatialDomains::eDirichlet, Nektar::SpatialDomains::ePeriodic, Nektar::MultiRegions::ExpList::GetBoundaryCondition(), Nektar::SpatialDomains::BoundaryConditions::GetBoundaryConditions(), Nektar::SpatialDomains::BoundaryConditions::GetBoundaryRegions(), m_bndCondExpansions, m_bndConditions, Nektar::MultiRegions::ExpList::m_session, and Nektar::MultiRegions::ExpList::SetUpPhysNormals().

Referenced by DisContField2D().

         {      
             int cnt = 0;
             SpatialDomains::BoundaryConditionShPtr             bc;
             MultiRegions::ExpList1DSharedPtr                   locExpList;
             const SpatialDomains::BoundaryRegionCollection    &bregions = 
                 bcs.GetBoundaryRegions();
             const SpatialDomains::BoundaryConditionCollection &bconditions = 
                 bcs.GetBoundaryConditions();
             SpatialDomains::BoundaryRegionCollection::const_iterator it;
 
             // count the number of non-periodic boundary regions
             for (it = bregions.begin(); it != bregions.end(); ++it)
             {
                 bc = GetBoundaryCondition(bconditions, it->first, variable);
                 
                 if (bc->GetBoundaryConditionType() != SpatialDomains::ePeriodic)
                 {
                     cnt++;
                 }
             }
 
             m_bndCondExpansions = 
                 Array<OneD, MultiRegions::ExpListSharedPtr>(cnt);
             m_bndConditions     = 
                 Array<OneD, SpatialDomains::BoundaryConditionShPtr>(cnt);
         
             cnt = 0;
 
             // list non-periodic boundaries
             for (it = bregions.begin(); it != bregions.end(); ++it)
             {
                 bc = GetBoundaryCondition(bconditions, it->first, variable);
 
                 if (bc->GetBoundaryConditionType() != SpatialDomains::ePeriodic)
                 {
                     locExpList = MemoryManager<MultiRegions::ExpList1D>
                         ::AllocateSharedPtr(m_session, *(it->second), graph2D,
                                             DeclareCoeffPhysArrays, variable);
 
                     m_bndCondExpansions[cnt]  = locExpList;
                     m_bndConditions[cnt]      = bc;
                     
 
                     std::string type = m_bndConditions[cnt]->GetUserDefined();
                     
                     // Set up normals on non-Dirichlet boundary
                     // conditions. Second two conditions ideally
                     // should be in local solver setup (when made into factory)
                     if((bc->GetBoundaryConditionType() != 
                         SpatialDomains::eDirichlet)||
                        boost::iequals(type,"I") || 
                        boost::iequals(type,"CalcBC"))
                     {
                         SetUpPhysNormals();
                     }
 
                     cnt++;
                 }
             }
         }

const Array<OneD, const LibUtilities::BasisSharedPtr>& Nektar::MultiRegions::DisContField2D::GetBase ( ) const

inlineprotected

This function gets the shared point to basis.

Returns: returns the shared pointer to the bases

Definition at line 106 of file DisContField2D.h.

             {
                 return(m_base);
             }

LibUtilities::BasisType Nektar::MultiRegions::DisContField2D::GetBasisType ( const int dir ) const

inlineprotected

This function returns the type of basis used in the dir direction.

The different types of bases implemented in the code are defined in the LibUtilities::BasisType enumeration list. As a result, the function will return one of the types of this enumeration list.

Parameters

dir	the direction

Returns: returns the type of basis used in the dir direction

Definition at line 121 of file DisContField2D.h.

References ASSERTL1.

             {
                 ASSERTL1(dir < m_base.num_elements(), "dir is larger than m_numbases");
                 return(m_base[dir]->GetBasisType());
             }

GlobalLinSysSharedPtr Nektar::MultiRegions::DisContField2D::GetGlobalBndLinSys ( const GlobalLinSysKey & mkey )

Definition at line 348 of file DisContField2D.cpp.

References ASSERTL0, ASSERTL1, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::MultiRegions::ExpList::GenGlobalBndLinSys(), Nektar::MultiRegions::GlobalLinSysKey::GetGlobalSysSolnType(), Nektar::MultiRegions::GlobalMatrixKey::GetMatrixType(), Nektar::iterator, m_globalBndMat, and m_traceMap.

Referenced by v_HelmSolve().

         {
             ASSERTL0(mkey.GetMatrixType() == StdRegions::eHybridDGHelmBndLam,
                      "Routine currently only tested for HybridDGHelmholtz");
             ASSERTL1(mkey.GetGlobalSysSolnType() == 
                          m_traceMap->GetGlobalSysSolnType(),
                      "The local to global map is not set up for the requested "
                      "solution type");
 
             GlobalLinSysSharedPtr glo_matrix;
             GlobalLinSysMap::iterator matrixIter = m_globalBndMat->find(mkey);
 
             if(matrixIter == m_globalBndMat->end())
             {
                 glo_matrix = GenGlobalBndLinSys(mkey,m_traceMap);
                 (*m_globalBndMat)[mkey] = glo_matrix;
             }
             else
             {
                 glo_matrix = matrixIter->second;
             }
 
             return glo_matrix;
         }

bool Nektar::MultiRegions::DisContField2D::IsLeftAdjacentEdge	(	const int	n,
		const int	e
	)

protected

Definition at line 1262 of file DisContField2D.cpp.

References ASSERTL2, Nektar::iterator, m_boundaryEdges, Nektar::MultiRegions::ExpList::m_exp, m_periodicEdges, m_trace, and m_traceMap.

Referenced by SetUpDG(), and v_AddFwdBwdTraceIntegral().

         {
             set<int>::iterator it;
             LocalRegions::Expansion1DSharedPtr traceEl = 
                     m_traceMap->GetElmtToTrace()[n][e]->
                             as<LocalRegions::Expansion1D>();
             
             
             bool fwd = true;
             if (traceEl->GetLeftAdjacentElementEdge () == -1 ||
                 traceEl->GetRightAdjacentElementEdge() == -1)
             {
                 // Boundary edge (1 connected element). Do nothing in
                 // serial.
                 it = m_boundaryEdges.find(traceEl->GetElmtId());
                 
                 // If the edge does not have a boundary condition set on
                 // it, then assume it is a partition edge.
                 if (it == m_boundaryEdges.end())
                 {
                     int traceGeomId = traceEl->GetGeom1D()->GetGlobalID();
                     PeriodicMap::iterator pIt = m_periodicEdges.find(
                         traceGeomId);
 
                     if (pIt != m_periodicEdges.end() && !pIt->second[0].isLocal)
                     {
                         fwd = traceGeomId == min(traceGeomId,pIt->second[0].id);
                     }
                     else
                     {
                         int offset = m_trace->GetPhys_Offset(traceEl->GetElmtId());
 
                         fwd = m_traceMap->
                             GetTraceToUniversalMapUnique(offset) >= 0;
                     }
                 }
             }
             else if (traceEl->GetLeftAdjacentElementEdge () != -1 &&
                      traceEl->GetRightAdjacentElementEdge() != -1)
             {
                 // Non-boundary edge (2 connected elements).
                 fwd = dynamic_cast<Nektar::StdRegions::StdExpansion*>
                     (traceEl->GetLeftAdjacentElementExp().get()) ==
                     (*m_exp)[n].get();
             }
             else
             {
                 ASSERTL2(false, "Unconnected trace element!");
             }
             
             return fwd;
         }

NekDouble Nektar::MultiRegions::DisContField2D::L2_DGDeriv	(	const int	dir,
		const Array< OneD, const NekDouble > &	soln
	)

Calculate the $ L^2 $ error of the $Q_{\rm dir}$ derivative using the consistent DG evaluation of $Q_{\rm dir}$ .

The solution provided is of the primative variation at the quadrature points and the derivative is compared to the discrete derivative at these points, which is likely to be undesirable unless using a much higher number of quadrature points than the polynomial order used to evaluate $Q_{\rm dir}$ .

Definition at line 1799 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::BwdTrans(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::L2(), 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, m_trace, m_traceMap, Vmath::Vcopy(), and Vmath::Vsub().

         {
             int    i,e,ncoeff_edge;
             Array<OneD, const NekDouble> tmp_coeffs;
             Array<OneD, NekDouble> out_d(m_ncoeffs), out_tmp;
 
             Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> > 
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             StdRegions::Orientation edgedir;
 
             int     eid,cnt;
             int     LocBndCoeffs = m_traceMap->GetNumLocalBndCoeffs();
             Array<OneD, NekDouble> loc_lambda(LocBndCoeffs), edge_lambda;
             m_traceMap->GlobalToLocalBnd(m_trace->GetCoeffs(),loc_lambda);
 
             edge_lambda = loc_lambda;
             
             // Calculate Q using standard DG formulation.
             for(i = cnt = 0; i < GetExpSize(); ++i)
             {
                 eid = m_offset_elmt_id[i];
 
                 // Probably a better way of setting up lambda than this.
                 // Note cannot use PutCoeffsInToElmts since lambda space
                 // is mapped during the solve.
                 int nEdges = (*m_exp)[i]->GetNedges();
                 Array<OneD, Array<OneD, NekDouble> > edgeCoeffs(nEdges);
 
                 for(e = 0; e < nEdges; ++e)
                 {
                     edgedir = (*m_exp)[eid]->GetEorient(e);
                     ncoeff_edge = elmtToTrace[eid][e]->GetNcoeffs();
                     edgeCoeffs[e] = Array<OneD, NekDouble>(ncoeff_edge);
                     Vmath::Vcopy(ncoeff_edge, edge_lambda, 1, edgeCoeffs[e], 1);
                     elmtToTrace[eid][e]->SetCoeffsToOrientation(
                         edgedir, edgeCoeffs[e], edgeCoeffs[e]);
                     edge_lambda = edge_lambda + ncoeff_edge;
                 }
 
                 (*m_exp)[eid]->DGDeriv(dir,
                                        tmp_coeffs=m_coeffs+m_coeff_offset[eid],
                                        elmtToTrace[eid],
                                        edgeCoeffs,
                                        out_tmp = out_d+cnt);
                 cnt  += (*m_exp)[eid]->GetNcoeffs();
             }
             
             BwdTrans(out_d,m_phys);
             Vmath::Vsub(m_npoints,m_phys,1,soln,1,m_phys,1);
             return L2(m_phys);
         }

bool Nektar::MultiRegions::DisContField2D::SameTypeOfBoundaryConditions ( const DisContField2D & In )

protected

For each boundary region, checks that the types and number of boundary expansions in that region match.

Parameters

In	ContField2D to compare with.

Returns: True if boundary conditions match.

Definition at line 583 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::GetExpSize(), m_bndCondExpansions, m_bndConditions, Nektar::MultiRegions::ExpList::m_comm, and Nektar::LibUtilities::ReduceMin.

Referenced by Nektar::MultiRegions::ContField2D::ContField2D(), and DisContField2D().

         {
             int i;
             bool returnval = true;
 
             for(i = 0; i < m_bndConditions.num_elements(); ++i)
             {
 
                 // check to see if boundary condition type is the same
                 // and there are the same number of boundary
                 // conditions in the boundary definition.
                 if((m_bndConditions[i]->GetBoundaryConditionType()
                     != In.m_bndConditions[i]->GetBoundaryConditionType())||
                    (m_bndCondExpansions[i]->GetExpSize()
                     != In.m_bndCondExpansions[i]->GetExpSize()))
                 {
                     returnval = false;
                     break;
                 }
             }
 
             // Compare with all other processes. Return true only if all
             // processes report having the same boundary conditions.
             int vSame = (returnval?1:0);
             m_comm->GetRowComm()->AllReduce(vSame, LibUtilities::ReduceMin);
 
             return (vSame == 1);
         }

void Nektar::MultiRegions::DisContField2D::SetUpDG ( const std::string variable = "DefaultVar" )

protected

Set up all DG member variables and maps.

Definition at line 377 of file DisContField2D.cpp.

Referenced by DisContField2D(), and v_GetTrace().

         {
             // Check for multiple calls
             if (m_trace != NullExpListSharedPtr)
             {
                 return;
             }
             
             ExpList1DSharedPtr trace;
             SpatialDomains::MeshGraph2DSharedPtr graph2D = 
                 boost::dynamic_pointer_cast<SpatialDomains::MeshGraph2D>(
                     m_graph);
                 
             // Set up matrix map
             m_globalBndMat = MemoryManager<GlobalLinSysMap>::
                 AllocateSharedPtr();
             
             // Set up trace space
             trace = MemoryManager<ExpList1D>::AllocateSharedPtr(
                 m_session, m_bndCondExpansions, m_bndConditions, *m_exp,
                 graph2D, m_periodicEdges);
             
             m_trace = boost::dynamic_pointer_cast<ExpList>(trace);
             m_traceMap = MemoryManager<AssemblyMapDG>::
                 AllocateSharedPtr(m_session, graph2D, trace, *this,
                                   m_bndCondExpansions, m_bndConditions,
                                   m_periodicEdges,
                                   variable);
 
             Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             // Scatter trace segments to 2D elements. For each element,
             // we find the trace segment associated to each edge. The
             // element then retains a pointer to the trace space segments,
             // to ensure uniqueness of normals when retrieving from two
             //adjoining elements which do not lie in a plane.
             for (int i = 0; i < m_exp->size(); ++i)
             {
                 for (int j = 0; j < (*m_exp)[i]->GetNedges(); ++j)
                 {
                     LocalRegions::Expansion2DSharedPtr exp2d =
                             (*m_exp)[i]->as<LocalRegions::Expansion2D>();
                     LocalRegions::Expansion1DSharedPtr exp1d =
                             elmtToTrace[i][j]->as<LocalRegions::Expansion1D>();
                     LocalRegions::ExpansionSharedPtr exp = elmtToTrace[i][j];;
                     exp2d->SetEdgeExp           (j, exp1d);
                     exp1d->SetAdjacentElementExp(j, exp2d);
                 }
             }
                 
             // Set up physical normals
             SetUpPhysNormals();
             
             // Set up information for parallel and periodic problems. 
             for (int i = 0; i < m_trace->GetExpSize(); ++i)
             {
                 LocalRegions::Expansion1DSharedPtr traceEl = 
                         m_trace->GetExp(i)->as<LocalRegions::Expansion1D>();
                     
                 int offset      = m_trace->GetPhys_Offset(i);
                 int traceGeomId = traceEl->GetGeom1D()->GetGlobalID();
                 PeriodicMap::iterator pIt = m_periodicEdges.find(traceGeomId);
 
                 if (pIt != m_periodicEdges.end() && !pIt->second[0].isLocal)
                 {
                     if (traceGeomId != min(pIt->second[0].id, traceGeomId))
                     {
                         traceEl->GetLeftAdjacentElementExp()->NegateEdgeNormal(
                             traceEl->GetLeftAdjacentElementEdge());
                     }
                 }
                 else if (m_traceMap->GetTraceToUniversalMapUnique(offset) < 0)
                 {
                     traceEl->GetLeftAdjacentElementExp()->NegateEdgeNormal(
                         traceEl->GetLeftAdjacentElementEdge());
                 }
             }
                 
             int cnt, n, e;
                 
             // Identify boundary edges
             for (cnt = 0, n = 0; n < m_bndCondExpansions.num_elements(); ++n)
             {
                 if (m_bndConditions[n]->GetBoundaryConditionType() != 
                     SpatialDomains::ePeriodic)
                 {
                     for (e = 0; e < m_bndCondExpansions[n]->GetExpSize(); ++e)
                     {
                         m_boundaryEdges.insert(
                             m_traceMap->GetBndCondTraceToGlobalTraceMap(cnt+e));
                     }
                 }
                 cnt += m_bndCondExpansions[n]->GetExpSize();
             }
                 
             // Set up information for periodic boundary conditions.
             boost::unordered_map<int,pair<int,int> > perEdgeToExpMap;
             boost::unordered_map<int,pair<int,int> >::iterator it2;
             for (cnt = n = 0; n < m_exp->size(); ++n)
             {
                 for (e = 0; e < (*m_exp)[n]->GetNedges(); ++e, ++cnt)
                 {
                     PeriodicMap::iterator it = m_periodicEdges.find(
                         (*m_exp)[n]->GetGeom()->GetEid(e));
 
                     if (it != m_periodicEdges.end())
                     {
                         perEdgeToExpMap[it->first] = make_pair(n, e);
                     }
                 }
             }
 
             // Set up left-adjacent edge list.
             m_leftAdjacentEdges.resize(cnt);
             cnt = 0;
             for (int i = 0; i < m_exp->size(); ++i)
             {
                 for (int j = 0; j < (*m_exp)[i]->GetNedges(); ++j, ++cnt)
                 {
                     m_leftAdjacentEdges[cnt] = IsLeftAdjacentEdge(i, j);
                 }
             }
 
             // Set up mapping to copy Fwd of periodic bcs to Bwd of other edge.
             cnt = 0;
             for (int n = 0; n < m_exp->size(); ++n)
             {
                 for (int e = 0; e < (*m_exp)[n]->GetNedges(); ++e, ++cnt)
                 {
                     int edgeGeomId = (*m_exp)[n]->GetGeom()->GetEid(e);
                     int offset = m_trace->GetPhys_Offset(
                         elmtToTrace[n][e]->GetElmtId());
 
                     // Check to see if this face is periodic.
                     PeriodicMap::iterator it = m_periodicEdges.find(edgeGeomId);
 
                     if (it != m_periodicEdges.end())
                     {
                         const PeriodicEntity &ent = it->second[0];
                         it2 = perEdgeToExpMap.find(ent.id);
 
                         if (it2 == perEdgeToExpMap.end())
                         {
                             if (m_session->GetComm()->
                                 GetRowComm()->GetSize() > 1 && !ent.isLocal)
                             {
                                 continue;
                             }
                             else
                             {
                                 ASSERTL1(false, "Periodic edge not found!");
                             }
                         }
 
                         ASSERTL1(m_leftAdjacentEdges[cnt],
                                  "Periodic edge in non-forward space?");
 
                         int offset2 = m_trace->GetPhys_Offset(
                             elmtToTrace[it2->second.first][it2->second.second]->
                                 GetElmtId());
 
                         // Calculate relative orientations between edges to
                         // calculate copying map.
                         int nquad = elmtToTrace[n][e]->GetNumPoints(0);
 
                         vector<int> tmpBwd(nquad);
                         vector<int> tmpFwd(nquad);
 
                         if (ent.orient == StdRegions::eForwards)
                         {
                             for (int i = 0; i < nquad; ++i)
                             {
                                 tmpBwd[i] = offset2 + i;
                                 tmpFwd[i] = offset  + i;
                             }
                         }
                         else
                         {
                             for (int i = 0; i < nquad; ++i)
                             {
                                 tmpBwd[i] = offset2 + i;
                                 tmpFwd[i] = offset  + nquad - i - 1;
                             }
                         }
 
                         for (int i = 0; i < nquad; ++i)
                         {
                             m_periodicFwdCopy.push_back(tmpFwd[i]);
                             m_periodicBwdCopy.push_back(tmpBwd[i]);
                         }
                     }
                 }
             }
             
             m_locTraceToTraceMap = MemoryManager<LocTraceToTraceMap>::
                 AllocateSharedPtr(*this, m_trace, elmtToTrace,
                                   m_leftAdjacentEdges);
         }

void Nektar::MultiRegions::DisContField2D::v_AddFwdBwdTraceIntegral	(	const Array< OneD, const NekDouble > &	Fwd,
		const Array< OneD, const NekDouble > &	Bwd,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Add trace contributions into elemental coefficient spaces.

Given some quantity $\vec{q}$ , calculate the elemental integral

$\int_{\Omega^e} \vec{q}, \mathrm{d}S$

and adds this to the coefficient space provided by outarray. The value of q is determined from the routine IsLeftAdjacentEdge() which if true we use Fwd else we use Bwd

See also: Expansion2D::AddEdgeNormBoundaryInt

Parameters

Fwd	The trace quantities associated with left (fwd) adjancent elmt.
Bwd	The trace quantities associated with right (bwd) adjacent elet.
outarray	Resulting 2D coefficient space.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1635 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::GetTrace(), IsLeftAdjacentEdge(), and m_traceMap.

         {
             int e,n,offset, t_offset;
             Array<OneD, NekDouble> e_outarray;
             Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             for (n = 0; n < GetExpSize(); ++n)
             {
                 offset = GetCoeff_Offset(n);
                 for (e = 0; e < (*m_exp)[n]->GetNedges(); ++e)
                 {
                     t_offset = GetTrace()->GetPhys_Offset(
                                             elmtToTrace[n][e]->GetElmtId());
                     
                     // Evaluate upwind flux less local edge 
                     if (IsLeftAdjacentEdge(n, e))
                     {
                         (*m_exp)[n]->AddEdgeNormBoundaryInt(
                         e, elmtToTrace[n][e], Fwd+t_offset,
                         e_outarray = outarray+offset);
                     }
                     else
                     {
                         (*m_exp)[n]->AddEdgeNormBoundaryInt(
                         e, elmtToTrace[n][e], Bwd+t_offset,
                         e_outarray = outarray+offset);
                     }
 
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fx,
		const Array< OneD, const NekDouble > &	Fy,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1531 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::GetTrace(), and m_traceMap.

         {
             int e, n, offset, t_offset;
             Array<OneD, NekDouble> e_outarray;
             Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             for(n = 0; n < GetExpSize(); ++n)
             {
                 offset = GetCoeff_Offset(n);
                 for(e = 0; e < (*m_exp)[n]->GetNedges(); ++e)
                 {
                     t_offset = GetTrace()->GetPhys_Offset(
                         elmtToTrace[n][e]->GetElmtId());
 
                     (*m_exp)[n]->AddEdgeNormBoundaryInt(
                         e,elmtToTrace[n][e],
                         Fx + t_offset,
                         Fy + t_offset,
                         e_outarray = outarray+offset);
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_AddTraceIntegral	(	const Array< OneD, const NekDouble > &	Fn,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Add trace contributions into elemental coefficient spaces.

Given some quantity $\vec{Fn}$ , which conatins this routine calculates the integral

$\int_{\Omega^e} \vec{Fn}, \mathrm{d}S$

and adds this to the coefficient space provided by outarray.

See also: Expansion2D::AddEdgeNormBoundaryInt

Parameters

Fn	The trace quantities.
outarray	Resulting 2D coefficient space.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1575 of file DisContField2D.cpp.

References Nektar::LibUtilities::eGauss_Lagrange, Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::GetTrace(), m_locTraceToTraceMap, m_trace, and m_traceMap.

         {
             // Basis definition on each element
             LibUtilities::BasisSharedPtr basis = (*m_exp)[0]->GetBasis(0);
             if (basis->GetBasisType() != LibUtilities::eGauss_Lagrange)
             {
                 Array<OneD, NekDouble> Fcoeffs(m_trace->GetNcoeffs());
                 m_trace->IProductWRTBase(Fn, Fcoeffs);
             
                 m_locTraceToTraceMap->AddTraceCoeffsToFieldCoeffs(Fcoeffs,
                                                                outarray);
             }
             else
             {
                 int e, n, offset, t_offset;
                 Array<OneD, NekDouble> e_outarray;
                 Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                     &elmtToTrace = m_traceMap->GetElmtToTrace();
 
                 for(n = 0; n < GetExpSize(); ++n)
                 {
                     offset = GetCoeff_Offset(n);
                     for(e = 0; e < (*m_exp)[n]->GetNedges(); ++e)
                     {
                         t_offset = GetTrace()->GetPhys_Offset(
                             elmtToTrace[n][e]->GetElmtId());
                         (*m_exp)[n]->AddEdgeNormBoundaryInt(
                             e, elmtToTrace[n][e],
                             Fn+t_offset,
                             e_outarray = outarray+offset);
                     }
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_EvaluateBoundaryConditions	(	const NekDouble	time = `0.0`,
		const std::string	varName = `""`,
		const NekDouble	x2_in = `NekConstants::kNekUnsetDouble`,
		const NekDouble	x3_in = `NekConstants::kNekUnsetDouble`
	)

protectedvirtual

Evaluates the boundary condition expansions, bndCondExpansions, given the information provided by bndConditions.

Parameters

time	The time at which the boundary conditions should be evaluated.
bndCondExpansions	List of boundary conditions.
bndConditions	Information about the boundary conditions.

This will only be undertaken for time dependent boundary conditions unless time == 0.0 which is the case when the method is called from the constructor.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 2221 of file DisContField2D.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDirichlet, Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::eRobin, Nektar::LibUtilities::Equation::Evaluate(), Nektar::MultiRegions::ExpList::ExtractFileBCs(), Vmath::Fill(), Nektar::NekConstants::kNekUnsetDouble, m_bndCondExpansions, and m_bndConditions.

         {
             int i;
             int npoints;
             int nbnd = m_bndCondExpansions.num_elements();
 
             MultiRegions::ExpListSharedPtr locExpList;
 
             for (i = 0; i < nbnd; ++i)
             {
                 if (time == 0.0 || 
                     m_bndConditions[i]->IsTimeDependent())
                 {
                     locExpList = m_bndCondExpansions[i];
                     npoints    = locExpList->GetNpoints();
                     Array<OneD, NekDouble> x0(npoints, 0.0);
                     Array<OneD, NekDouble> x1(npoints, 0.0);
                     Array<OneD, NekDouble> x2(npoints, 0.0);
 
                     // Homogeneous input case for x2.
                     if (x2_in == NekConstants::kNekUnsetDouble)
                     {
                         locExpList->GetCoords(x0, x1, x2);
                     }
                     else
                     {
                         locExpList->GetCoords(x0, x1, x2);
                         Vmath::Fill(npoints, x2_in, x2, 1);
                     }
 
                     if (m_bndConditions[i]->GetBoundaryConditionType()
                         == SpatialDomains::eDirichlet)
                     {
                         string filebcs = boost::static_pointer_cast<
                             SpatialDomains::DirichletBoundaryCondition>(
                                 m_bndConditions[i])->m_filename;
                         
                         if (filebcs != "")
                         {
                             ExtractFileBCs(filebcs, varName, locExpList);
                         }
                         else
                         {
                             LibUtilities::Equation condition = 
                                 boost::static_pointer_cast<
                                     SpatialDomains::DirichletBoundaryCondition>
                                         (m_bndConditions[i])->
                                             m_dirichletCondition;
                             
                             condition.Evaluate(x0, x1, x2, time, 
                                                locExpList->UpdatePhys());
                         }
 
                         locExpList->FwdTrans_BndConstrained(
                             locExpList->GetPhys(),
                             locExpList->UpdateCoeffs());
                     }
                     else if (m_bndConditions[i]->GetBoundaryConditionType()
                              == SpatialDomains::eNeumann)
                     {
                         string filebcs = boost::static_pointer_cast<
                             SpatialDomains::NeumannBoundaryCondition>(
                                 m_bndConditions[i])->m_filename;
 
                         if (filebcs != "")
                         {
                             ExtractFileBCs(filebcs, varName, locExpList);
                         }
                         else
                         {
                             LibUtilities::Equation condition =
                                 boost::static_pointer_cast<
                                     SpatialDomains::NeumannBoundaryCondition>
                                         (m_bndConditions[i])->
                                             m_neumannCondition;
                             condition.Evaluate(x0, x1, x2, time, 
                                                locExpList->UpdatePhys());
                         }
 
                         locExpList->IProductWRTBase(
                             locExpList->GetPhys(),
                             locExpList->UpdateCoeffs());
                     }
                     else if (m_bndConditions[i]->GetBoundaryConditionType()
                              == SpatialDomains::eRobin)
                     {
                         string filebcs = boost::static_pointer_cast<
                             SpatialDomains::RobinBoundaryCondition>
                                 (m_bndConditions[i])->m_filename;
                         
                         if (filebcs != "")
                         {
                             ExtractFileBCs(filebcs, varName, locExpList);
                         }
                         else
                         {
                             LibUtilities::Equation condition = 
                                 boost::static_pointer_cast<
                                     SpatialDomains::RobinBoundaryCondition>
                                         (m_bndConditions[i])->
                                             m_robinFunction;
                             condition.Evaluate(x0, x1, x2, time,
                                                locExpList->UpdatePhys());
                         }
 
                         LibUtilities::Equation coeff =
                             boost::static_pointer_cast<
                                 SpatialDomains::RobinBoundaryCondition>(
                                     m_bndConditions[i])->m_robinPrimitiveCoeff;
                         locExpList->IProductWRTBase(
                             locExpList->GetPhys(),
                             locExpList->UpdateCoeffs());
 
                         // put primitive coefficient into the physical 
                         // space storage
                         coeff.Evaluate(x0, x1, x2, time,
                                        locExpList->UpdatePhys());
                     }    
                     else
                     {
                         ASSERTL0(false, "This type of BC not implemented yet");
                     }
                 }
                 else if (boost::iequals(m_bndConditions[i]->GetUserDefined(),
                                         "MovingBody"))
                 {
                     locExpList = m_bndCondExpansions[i];
                     if (m_bndConditions[i]->GetBoundaryConditionType()
                             == SpatialDomains::eDirichlet)
                     {
                         locExpList->FwdTrans_IterPerExp(
                                     locExpList->GetPhys(),
                                     locExpList->UpdateCoeffs());
                     }
                     else
                     {
                         ASSERTL0(false, "This type of BC not implemented yet");
                     }
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_ExtractTracePhys	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

This method extracts the trace (edges in 2D) from the field inarray and puts the values in outarray.

It assumes the field is C0 continuous so that it can overwrite the edge data when visited by the two adjacent elements.

Parameters

inarray	An array containing the 2D data from which we wish to extract the edge data.
outarray	The resulting edge information.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1501 of file DisContField2D.cpp.

References ASSERTL1, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::GetPhys_Offset(), m_trace, and m_traceMap.

Referenced by v_ExtractTracePhys().

         {
             // Loop over elemente and collect forward expansion
             int nexp = GetExpSize();
             int n, e, offset, phys_offset;
             Array<OneD,NekDouble> e_tmp;
             Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
             ASSERTL1(outarray.num_elements() >= m_trace->GetNpoints(),
                      "input array is of insufficient length");
 
             // use m_trace tmp space in element to fill values
             for(n  = 0; n < nexp; ++n)
             {
                 phys_offset = GetPhys_Offset(n);
                 
                 for(e = 0; e < (*m_exp)[n]->GetNedges(); ++e)
                 {
                     offset = m_trace->GetPhys_Offset(
                         elmtToTrace[n][e]->GetElmtId());
                     (*m_exp)[n]->GetEdgePhysVals(e,  elmtToTrace[n][e],
                                                  inarray + phys_offset,
                                                  e_tmp = outarray + offset);
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_ExtractTracePhys ( Array< OneD, NekDouble > & outarray )

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1481 of file DisContField2D.cpp.

References ASSERTL1, Nektar::MultiRegions::ExpList::m_phys, Nektar::MultiRegions::ExpList::m_physState, and v_ExtractTracePhys().

         {
             ASSERTL1(m_physState == true,
                      "Field must be in physical state to extract trace space.");
 
             v_ExtractTracePhys(m_phys, outarray);
         }

void Nektar::MultiRegions::DisContField2D::v_FillBndCondFromField ( void )

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Reimplemented in Nektar::MultiRegions::ContField2D.

Definition at line 1476 of file DisContField2D.cpp.

         {
             
         }        

void Nektar::MultiRegions::DisContField2D::v_GeneralMatrixOp	(	const GlobalMatrixKey &	gkey,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		CoeffState	coeffstate = `eLocal`
	)

protectedvirtual

Calculates the result of the multiplication of a global matrix of type specified by mkey with a vector given by inarray.

Parameters

mkey	Key representing desired matrix multiplication.
inarray	Input vector.
outarray	Resulting multiplication.

Reimplemented from Nektar::MultiRegions::ExpList.

Reimplemented in Nektar::MultiRegions::ContField2D.

Definition at line 1995 of file DisContField2D.cpp.

References Nektar::eWrapper, Nektar::MultiRegions::ExpList::GetBlockMatrix(), and m_traceMap.

         {
             int     LocBndCoeffs = m_traceMap->GetNumLocalBndCoeffs();
             Array<OneD, NekDouble> loc_lambda(LocBndCoeffs);
             DNekVec LocLambda(LocBndCoeffs,loc_lambda,eWrapper);
             const DNekScalBlkMatSharedPtr& HDGHelm = GetBlockMatrix(gkey);
 
             m_traceMap->GlobalToLocalBnd(inarray, loc_lambda);
             LocLambda = (*HDGHelm) * LocLambda;
             m_traceMap->AssembleBnd(loc_lambda,outarray);
         }

virtual const Array<OneD,const MultiRegions::ExpListSharedPtr>& Nektar::MultiRegions::DisContField2D::v_GetBndCondExpansions ( void )

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 265 of file DisContField2D.h.

References m_bndCondExpansions.

             {
                 return m_bndCondExpansions;
             }

virtual const Array<OneD,const SpatialDomains::BoundaryConditionShPtr>& Nektar::MultiRegions::DisContField2D::v_GetBndConditions ( void )

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Reimplemented in Nektar::MultiRegions::ContField2D.

Definition at line 272 of file DisContField2D.h.

References m_bndConditions.

             {
                 return m_bndConditions;
             }

void Nektar::MultiRegions::DisContField2D::v_GetBndElmtExpansion	(	int	i,
		boost::shared_ptr< ExpList > &	result
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1731 of file DisContField2D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::GetBoundaryToElmtMap(), Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetExp(), Nektar::MultiRegions::ExpList::GetPhys(), Nektar::MultiRegions::ExpList::GetPhys_Offset(), m_bndCondExpansions, and Vmath::Vcopy().

         {
             int n, cnt, nq;
             int offsetOld, offsetNew;
             Array<OneD, NekDouble> tmp1, tmp2;
             std::vector<unsigned int> eIDs;
             
             Array<OneD, int> ElmtID,EdgeID;
             GetBoundaryToElmtMap(ElmtID,EdgeID);
             
             // Skip other boundary regions
             for (cnt = n = 0; n < i; ++n)
             {
                 cnt += m_bndCondExpansions[n]->GetExpSize();
             }
 
             // Populate eIDs with information from BoundaryToElmtMap
             for (n = 0; n < m_bndCondExpansions[i]->GetExpSize(); ++n)
             {
                 eIDs.push_back(ElmtID[cnt+n]);
             }
             
             // Create expansion list
             result = 
                 MemoryManager<ExpList2D>::AllocateSharedPtr(*this, eIDs);
             
             // Copy phys and coeffs to new explist
             for (n = 0; n < result->GetExpSize(); ++n)
             {
                 nq = GetExp(ElmtID[cnt+n])->GetTotPoints();
                 offsetOld = GetPhys_Offset(ElmtID[cnt+n]);
                 offsetNew = result->GetPhys_Offset(n);
                 Vmath::Vcopy(nq, tmp1 = GetPhys()+ offsetOld, 1,
                                  tmp2 = result->UpdatePhys()+ offsetNew, 1);
                 
                 nq = GetExp(ElmtID[cnt+n])->GetNcoeffs();
                 offsetOld = GetCoeff_Offset(ElmtID[cnt+n]);
                 offsetNew = result->GetCoeff_Offset(n);
                 Vmath::Vcopy(nq, tmp1 = GetCoeffs()+ offsetOld, 1,
                                  tmp2 = result->UpdateCoeffs()+ offsetNew, 1);
             }
         }

void Nektar::MultiRegions::DisContField2D::v_GetBoundaryToElmtMap	(	Array< OneD, int > &	ElmtID,
		Array< OneD, int > &	EdgeID
	)

protectedvirtual

Set up a list of element IDs and edge IDs that link to the boundary conditions.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1675 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::GetExpSize(), m_bndCondExpansions, m_bndConditions, and Nektar::MultiRegions::ExpList::m_graph.

         {
             map<int, int> globalIdMap;
             int i,n;
             int cnt;
             int nbcs = 0;
 
             SpatialDomains::MeshGraph2DSharedPtr graph2D =
                 boost::dynamic_pointer_cast<SpatialDomains::MeshGraph2D>(
                     m_graph);
 
             // Populate global ID map (takes global geometry ID to local
             // expansion list ID).
             for (i = 0; i < GetExpSize(); ++i)
             {
                 globalIdMap[(*m_exp)[i]->GetGeom()->GetGlobalID()] = i;
             }
             
             // Determine number of boundary condition expansions.
             for(i = 0; i < m_bndConditions.num_elements(); ++i)
             {
                 nbcs += m_bndCondExpansions[i]->GetExpSize();
             }
 
             // make sure arrays are of sufficient length
             if(ElmtID.num_elements() != nbcs)
             {
                 ElmtID = Array<OneD, int>(nbcs);
             }
 
             if(EdgeID.num_elements() != nbcs)
             {
                 EdgeID = Array<OneD, int>(nbcs);
             }
 
             LocalRegions::Expansion1DSharedPtr exp1d;
             for (cnt = n = 0; n < m_bndCondExpansions.num_elements(); ++n)
             {
                 for (i = 0; i < m_bndCondExpansions[n]->GetExpSize(); 
                      ++i, ++cnt)
                 {
                     exp1d = m_bndCondExpansions[n]->GetExp(i)->
                                         as<LocalRegions::Expansion1D>();
                     // Use edge to element map from MeshGraph2D.
                     SpatialDomains::ElementEdgeVectorSharedPtr tmp =
                         graph2D->GetElementsFromEdge(exp1d->GetGeom1D());
 
                     ElmtID[cnt] = globalIdMap[(*tmp)[0]->
                         m_Element->GetGlobalID()];
                     EdgeID[cnt] = (*tmp)[0]->m_EdgeIndx;
                 }
             }
         }

void Nektar::MultiRegions::DisContField2D::v_GetFwdBwdTracePhys	(	const Array< OneD, const NekDouble > &	field,
		Array< OneD, NekDouble > &	Fwd,
		Array< OneD, NekDouble > &	Bwd
	)

protectedvirtual

This method extracts the "forward" and "backward" trace data from the array field and puts the data into output vectors Fwd and Bwd.

We first define the convention which defines "forwards" and "backwards". First an association is made between the edge of each element and its corresponding edge in the trace space using the mapping m_traceMap. The element can either be left-adjacent or right-adjacent to this trace edge (see Expansion1D::GetLeftAdjacentElementExp). Boundary edges are always left-adjacent since left-adjacency is populated first.

If the element is left-adjacent we extract the edge trace data from field into the forward trace space Fwd; otherwise, we place it in the backwards trace space Bwd. In this way, we form a unique set of trace normals since these are always extracted from left-adjacent elements.

Parameters

field	is a NekDouble array which contains the 2D data from which we wish to extract the backward and forward orientated trace/edge arrays.
Fwd	The resulting forwards space.
Bwd	The resulting backwards space.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1351 of file DisContField2D.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDirichlet, Nektar::LibUtilities::eGauss_Lagrange, Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::ePeriodic, Nektar::SpatialDomains::eRobin, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::GetPhys(), Nektar::MultiRegions::ExpList::GetPhys_Offset(), Nektar::iterator, m_bndCondExpansions, m_bndConditions, m_leftAdjacentEdges, m_locTraceToTraceMap, m_periodicBwdCopy, m_periodicFwdCopy, m_trace, m_traceMap, npts, Vmath::Vcopy(), and Vmath::Zero().

Referenced by v_GetFwdBwdTracePhys().

         {
             int cnt, n, e, npts, phys_offset;
 
             // Zero forward/backward vectors.
             Vmath::Zero(Fwd.num_elements(), Fwd, 1);
             Vmath::Zero(Bwd.num_elements(), Bwd, 1);
 
             // Basis definition on each element
             LibUtilities::BasisSharedPtr basis = (*m_exp)[0]->GetBasis(0);
             if (basis->GetBasisType() != LibUtilities::eGauss_Lagrange)
             {
 
                 // blocked routine
                 Array<OneD, NekDouble> edgevals(m_locTraceToTraceMap->
                                                GetNLocTracePts());
 
                 m_locTraceToTraceMap->LocTracesFromField(field, edgevals);
                 m_locTraceToTraceMap->InterpLocEdgesToTrace(0, edgevals, Fwd);
 
                 Array<OneD, NekDouble> invals = edgevals + m_locTraceToTraceMap->
                                                         GetNFwdLocTracePts();
                 m_locTraceToTraceMap->InterpLocEdgesToTrace(1, invals, Bwd);
             }
             else
             {
                 // Loop over elements and collect forward expansion
                 int nexp = GetExpSize();
                 Array<OneD,NekDouble> e_tmp;
                 PeriodicMap::iterator it2;
                 boost::unordered_map<int,pair<int,int> >::iterator it3;
                 LocalRegions::Expansion2DSharedPtr exp2d;
 
                 Array<OneD, Array<OneD, LocalRegions::ExpansionSharedPtr> >
                 &elmtToTrace = m_traceMap->GetElmtToTrace();
 
                 for(cnt = n = 0; n < nexp; ++n)
                 {
                     exp2d = (*m_exp)[n]->as<LocalRegions::Expansion2D>();
                     phys_offset = GetPhys_Offset(n);
 
                     for(e = 0; e < exp2d->GetNedges(); ++e, ++cnt)
                     {
                         int offset = m_trace->GetPhys_Offset(
                             elmtToTrace[n][e]->GetElmtId());
 
                         if (m_leftAdjacentEdges[cnt])
                         {
                             exp2d->GetEdgePhysVals(e, elmtToTrace[n][e],
                                                    field + phys_offset,
                                                    e_tmp = Fwd + offset);
                         }
                         else
                         {
                             exp2d->GetEdgePhysVals(e, elmtToTrace[n][e],
                                                    field + phys_offset,
                                                    e_tmp = Bwd + offset);
                         }
 
                     }
                 }
             }
             
             // Fill boundary conditions into missing elements
             int id1, id2 = 0;
             
             for (cnt = n = 0; n < m_bndCondExpansions.num_elements(); ++n)
             {
                 if (m_bndConditions[n]->GetBoundaryConditionType() == 
                         SpatialDomains::eDirichlet)
                 {
                     for (e = 0; e < m_bndCondExpansions[n]->GetExpSize(); ++e)
                     {
                         npts = m_bndCondExpansions[n]->GetExp(e)->GetNumPoints(0);
                         id1 = m_bndCondExpansions[n]->GetPhys_Offset(e);
                         id2 = m_trace->GetPhys_Offset(m_traceMap->
                                         GetBndCondTraceToGlobalTraceMap(cnt+e));
                         Vmath::Vcopy(npts,
                             &(m_bndCondExpansions[n]->GetPhys())[id1], 1,
                             &Bwd[id2],                                 1);
                     }
                     
                     cnt += e;
                 }
                 else if (m_bndConditions[n]->GetBoundaryConditionType() == 
                              SpatialDomains::eNeumann || 
                          m_bndConditions[n]->GetBoundaryConditionType() == 
                              SpatialDomains::eRobin)
                 {
                     for(e = 0; e < m_bndCondExpansions[n]->GetExpSize(); ++e)
                     {
                         npts = m_bndCondExpansions[n]->GetExp(e)->GetNumPoints(0);
                         id1  = m_bndCondExpansions[n]->GetPhys_Offset(e);
                         ASSERTL0((m_bndCondExpansions[n]->GetPhys())[id1]==0.0,
                                  "Method not set up for non-zero Neumann "
                                  "boundary condition");
                         id2  = m_trace->GetPhys_Offset(
                             m_traceMap->GetBndCondTraceToGlobalTraceMap(cnt+e));
                         Vmath::Vcopy(npts, &Fwd[id2], 1, &Bwd[id2], 1);
                     }
                     
                     cnt += e;
                 }
                 else if (m_bndConditions[n]->GetBoundaryConditionType() !=
                              SpatialDomains::ePeriodic)
                 {
                     ASSERTL0(false,
                              "Method not set up for this boundary condition.");
                 }
             }
             
             // Copy any periodic boundary conditions.
             for (n = 0; n < m_periodicFwdCopy.size(); ++n)
             {
                 Bwd[m_periodicBwdCopy[n]] = Fwd[m_periodicFwdCopy[n]];
             }
 
             // Do parallel exchange for forwards/backwards spaces.
             m_traceMap->UniversalTraceAssemble(Fwd);
             m_traceMap->UniversalTraceAssemble(Bwd);
         }

void Nektar::MultiRegions::DisContField2D::v_GetFwdBwdTracePhys	(	Array< OneD, NekDouble > &	Fwd,
		Array< OneD, NekDouble > &	Bwd
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1319 of file DisContField2D.cpp.

References Nektar::MultiRegions::ExpList::m_phys, and v_GetFwdBwdTracePhys().

         {
             v_GetFwdBwdTracePhys(m_phys, Fwd, Bwd);
         }

virtual void Nektar::MultiRegions::DisContField2D::v_GetPeriodicEntities	(	PeriodicMap &	periodicVerts,
		PeriodicMap &	periodicEdges,
		PeriodicMap &	periodicFaces
	)

inlineprotectedvirtual

Obtain a copy of the periodic edges and vertices for this field.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 249 of file DisContField2D.h.

References m_periodicEdges, and m_periodicVerts.

             {
                 periodicVerts = m_periodicVerts;
                 periodicEdges = m_periodicEdges;
             }

map< int, RobinBCInfoSharedPtr > Nektar::MultiRegions::DisContField2D::v_GetRobinBCInfo ( void )

protectedvirtual

Search through the edge expansions and identify which ones have Robin/Mixed type boundary conditions.

If a Robin boundary is found then store the edge ID of the boundary condition and the array of points of the physical space boundary condition which are hold the boundary condition primitive variable coefficient at the quatrature points

Returns: A map containing the Robin boundary condition information using a key of the element ID.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 2023 of file DisContField2D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::SpatialDomains::eRobin, Nektar::MultiRegions::ExpList::GetBoundaryToElmtMap(), m_bndCondExpansions, and m_bndConditions.

         {
             int i,cnt;
             map<int, RobinBCInfoSharedPtr> returnval;
             Array<OneD, int> ElmtID,EdgeID;
             GetBoundaryToElmtMap(ElmtID,EdgeID);
 
             for(cnt = i = 0; i < m_bndCondExpansions.num_elements(); ++i)
             {
                 MultiRegions::ExpListSharedPtr locExpList;
 
                 if(m_bndConditions[i]->GetBoundaryConditionType() == 
                        SpatialDomains::eRobin)
                 {
                     int e,elmtid;
                     Array<OneD, NekDouble> Array_tmp;
 
                     locExpList = m_bndCondExpansions[i];
 
                     for(e = 0; e < locExpList->GetExpSize(); ++e)
                     {
                         RobinBCInfoSharedPtr rInfo = MemoryManager<RobinBCInfo>
                             ::AllocateSharedPtr(
                                 EdgeID[cnt+e],
                                 Array_tmp = locExpList->GetPhys() + 
                                             locExpList->GetPhys_Offset(e));
                         elmtid = ElmtID[cnt+e];
                         // make link list if necessary
                         if(returnval.count(elmtid) != 0)
                         {
                             rInfo->next = returnval.find(elmtid)->second;
                         }
                         returnval[elmtid] = rInfo;
                     }
                 }
                 cnt += m_bndCondExpansions[i]->GetExpSize();
             }
 
             return returnval;
         }

virtual ExpListSharedPtr& Nektar::MultiRegions::DisContField2D::v_GetTrace ( )

inlinevirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 87 of file DisContField2D.h.

References m_trace, Nektar::MultiRegions::NullExpListSharedPtr, and SetUpDG().

             {
                 if(m_trace == NullExpListSharedPtr)
                 {
                     SetUpDG();
                 }
                 
                 return m_trace;
             }

virtual AssemblyMapDGSharedPtr& Nektar::MultiRegions::DisContField2D::v_GetTraceMap ( void )

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 259 of file DisContField2D.h.

References m_traceMap.

             {
                 return m_traceMap;
             }

void Nektar::MultiRegions::DisContField2D::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
	)

protectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Reimplemented in Nektar::MultiRegions::ContField2D.

Definition at line 1854 of file DisContField2D.cpp.

References Nektar::SpatialDomains::eDirichlet, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvHybridDGHelmholtz, Nektar::eWrapper, Nektar::MultiRegions::ExpList::GetBlockMatrix(), Nektar::MultiRegions::ExpList::GetExpSize(), GetGlobalBndLinSys(), Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::ExpList::IProductWRTBase(), m_bndCondExpansions, m_bndConditions, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_offset_elmt_id, m_trace, m_traceMap, Vmath::Neg(), Nektar::MultiRegions::NullAssemblyMapSharedPtr, Nektar::Transpose(), and Vmath::Zero().

         {
             int i,j,n,cnt,cnt1,nbndry;
             int nexp = GetExpSize();
             StdRegions::StdExpansionSharedPtr BndExp;
 
             Array<OneD,NekDouble> f(m_ncoeffs);
             DNekVec F(m_ncoeffs,f,eWrapper);
             Array<OneD,NekDouble> e_f, e_l;
 
             //----------------------------------
             //  Setup RHS Inner product
             //----------------------------------
             IProductWRTBase(inarray,f);
             Vmath::Neg(m_ncoeffs,f,1);
 
             //----------------------------------
             //  Solve continuous flux System
             //----------------------------------
             int GloBndDofs   = m_traceMap->GetNumGlobalBndCoeffs();
             int NumDirichlet = m_traceMap->GetNumLocalDirBndCoeffs();
             int e_ncoeffs,id;
 
             // Retrieve block matrix of U^e
             GlobalMatrixKey HDGLamToUKey(StdRegions::eHybridDGLamToU,
                 NullAssemblyMapSharedPtr,factors,varcoeff);
             const DNekScalBlkMatSharedPtr &HDGLamToU = GetBlockMatrix(
                 HDGLamToUKey);
 
             // Retrieve global trace space storage, \Lambda, from trace
             // expansion
             Array<OneD,NekDouble> BndSol = m_trace->UpdateCoeffs();
 
             // Create trace space forcing, F
             Array<OneD,NekDouble> BndRhs(GloBndDofs,0.0);
 
             // Zero \Lambda
             Vmath::Zero(GloBndDofs,BndSol,1);
 
             // Retrieve number of local trace space coefficients N_{\lambda},
             // and set up local elemental trace solution \lambda^e.
             int     LocBndCoeffs = m_traceMap->GetNumLocalBndCoeffs();
             Array<OneD, NekDouble> loc_lambda(LocBndCoeffs);
             DNekVec LocLambda(LocBndCoeffs,loc_lambda,eWrapper);
 
             //----------------------------------
             // Evaluate Trace Forcing vector F
             // Kirby et al, 2010, P23, Step 5.
             //----------------------------------
             // Loop over all expansions in the domain
             for(cnt = cnt1 = n = 0; n < nexp; ++n)
             {
                 nbndry = (*m_exp)[m_offset_elmt_id[n]]->NumDGBndryCoeffs();
 
                 e_ncoeffs = (*m_exp)[m_offset_elmt_id[n]]->GetNcoeffs();
                 e_f       = f + cnt;
                 e_l       = loc_lambda + cnt1;
 
                 // Local trace space \lambda^e
                 DNekVec     Floc    (nbndry, e_l, eWrapper);
                 // Local forcing f^e
                 DNekVec     ElmtFce (e_ncoeffs, e_f, eWrapper);
                 // Compute local (U^e)^{\top} f^e
                 Floc = Transpose(*(HDGLamToU->GetBlock(n,n)))*ElmtFce;
 
                 cnt   += e_ncoeffs;
                 cnt1  += nbndry;
             }
 
             // Assemble local \lambda_e into global \Lambda
             m_traceMap->AssembleBnd(loc_lambda,BndRhs);
 
             // Copy Dirichlet boundary conditions and weak forcing into trace
             // space
             cnt = 0;
             for(i = 0; i < m_bndCondExpansions.num_elements(); ++i)
             {
                 if(m_bndConditions[i]->GetBoundaryConditionType() == 
                        SpatialDomains::eDirichlet)
                 {
                     for(j = 0; j < (m_bndCondExpansions[i])->GetNcoeffs(); ++j)
                     {
                         id = m_traceMap->GetBndCondCoeffsToGlobalCoeffsMap(cnt++);
                         BndSol[id] = m_bndCondExpansions[i]->GetCoeffs()[j];
                     }
                 }
                 else
                 {
                     //Add weak boundary condition to trace forcing
                     for(j = 0; j < (m_bndCondExpansions[i])->GetNcoeffs(); ++j)
                     {
                         id = m_traceMap->GetBndCondCoeffsToGlobalCoeffsMap(cnt++);
                         BndRhs[id] += m_bndCondExpansions[i]->GetCoeffs()[j];
                     }
                 }
             }
 
             //----------------------------------
             // Solve trace problem: \Lambda = K^{-1} F
             // K is the HybridDGHelmBndLam matrix.
             //----------------------------------
             if(GloBndDofs - NumDirichlet > 0)
             {
                 GlobalLinSysKey       key(StdRegions::eHybridDGHelmBndLam,
                                           m_traceMap,factors,varcoeff);
                 GlobalLinSysSharedPtr LinSys = GetGlobalBndLinSys(key);
                 LinSys->Solve(BndRhs,BndSol,m_traceMap);
             }
 
             //----------------------------------
             // Internal element solves
             //----------------------------------
             GlobalMatrixKey invHDGhelmkey(StdRegions::eInvHybridDGHelmholtz,
                 NullAssemblyMapSharedPtr,factors,varcoeff);
             const DNekScalBlkMatSharedPtr& InvHDGHelm = GetBlockMatrix(
                 invHDGhelmkey);
             DNekVec out(m_ncoeffs,outarray,eWrapper);
             Vmath::Zero(m_ncoeffs,outarray,1);
 
             // get local trace solution from BndSol
             m_traceMap->GlobalToLocalBnd(BndSol,loc_lambda);
 
             //  out =  u_f + u_lam = (*InvHDGHelm)*f + (LamtoU)*Lam
             out = (*InvHDGHelm)*F + (*HDGLamToU)*LocLambda;
         }

void Nektar::MultiRegions::DisContField2D::v_Reset ( )

protectedvirtual

Reset this field, so that geometry information can be updated.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 1778 of file DisContField2D.cpp.

References m_bndCondExpansions, and Nektar::MultiRegions::ExpList::v_Reset().

         {
             ExpList::v_Reset();
 
             // Reset boundary condition expansions.
             for (int n = 0; n < m_bndCondExpansions.num_elements(); ++n)
             {
                 m_bndCondExpansions[n]->Reset();
             }
         }

virtual MultiRegions::ExpListSharedPtr& Nektar::MultiRegions::DisContField2D::v_UpdateBndCondExpansion ( int i )

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 278 of file DisContField2D.h.

             {
                 return m_bndCondExpansions[i];
             }

virtual Array<OneD, SpatialDomains::BoundaryConditionShPtr>& Nektar::MultiRegions::DisContField2D::v_UpdateBndConditions ( )

inlineprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 284 of file DisContField2D.h.

References m_bndConditions.

             {
                 return m_bndConditions;
             }

Member Data Documentation

Array<OneD, LibUtilities::BasisSharedPtr> Nektar::MultiRegions::DisContField2D::m_base

protected

Bases needed for the expansion

Definition at line 100 of file DisContField2D.h.

Array<OneD,MultiRegions::ExpListSharedPtr> Nektar::MultiRegions::DisContField2D::m_bndCondExpansions

protected

An object which contains the discretised boundary conditions.

It is an array of size equal to the number of boundary regions and consists of entries of the type MultiRegions::ExpList1D. Every entry corresponds to the one-dimensional spectral/hp expansion on a single boundary region. The values of the boundary conditions are stored as the coefficients of the one-dimensional expansion.

Definition at line 137 of file DisContField2D.h.

Referenced by Nektar::MultiRegions::ContField2D::ContField2D(), DisContField2D(), GenerateBoundaryConditionExpansion(), Nektar::MultiRegions::ContField2D::GetBndCondExpansions(), Nektar::MultiRegions::ContField2D::LaplaceSolve(), SameTypeOfBoundaryConditions(), SetUpDG(), v_EvaluateBoundaryConditions(), Nektar::MultiRegions::ContField2D::v_FillBndCondFromField(), v_GetBndCondExpansions(), v_GetBndElmtExpansion(), v_GetBoundaryToElmtMap(), v_GetFwdBwdTracePhys(), v_GetRobinBCInfo(), v_HelmSolve(), Nektar::MultiRegions::ContField2D::v_HelmSolve(), Nektar::MultiRegions::ContField2D::v_ImposeDirichletConditions(), Nektar::MultiRegions::ContField2D::v_LinearAdvectionDiffusionReactionSolve(), and v_Reset().