NewFourthOrderCoordSys Class Reference

#include <NewFourthOrderCoordSys.H>

Inheritance diagram for NewFourthOrderCoordSys:

Detailed Description

Virtual base class encapsulating mapped-grid coordinate systems.

The NewFourthOrderCoordSys class is a pure-virtual base class an API for performing operations in a mapped grid coordinate space. Implementations of specific coordinate systems will be provided by derived classes.

The following pure virtual functions of NewCoordSys are defined in NewFourthOrderCoordSys.cpp :

virtual void getNodeRealCoordinates(FArrayBox& a_nodeCoords, const Box& a_box) const; calls virtual RealVect realCoord(const RealVect& a_Xi) const = 0;

virtual int getNumN() const { return SpaceDim*SpaceDim; }

virtual int getNcomponent(const int a_row, const int a_col) const {return (SpaceDim*a_col) + a_row;}

virtual void cellVol(FArrayBox& a_vol, const FluxBox& a_N, const Box& a_box) const; calls virtual RealVect realCoord(const RealVect& a_Xi) const = 0 on corners, then calls fourthOrderAverageFace and computeDivergence.

virtual void getN(FluxBox& a_N, const Box& a_box) const;

virtual void getAvgJ(FArrayBox& a_avgJ, const Box& a_box) const; calls cellVol.

virtual void getAvgJinverse(FluxBox& a_avgJinverse, const Box& a_box) const;

virtual void pointwiseJ(FArrayBox& a_J, const FArrayBox& a_Xi, const Box& a_box) const; calls dXdXi.

virtual void computeMetricTermProductAverage(FluxBox& a_product, const FluxBox& a_F, const FluxBox& a_N, const FluxBox& a_FforGrad, const Box& a_box, bool a_fourthOrder=true) const;

virtual const RealVect& dx() const { return m_dx; }

Public Member Functions

NewFourthOrderCoordSys ()

default constructor

virtual ~NewFourthOrderCoordSys ()

virtual RealVect realCoord (const RealVect &a_Xi) const =0

given coordinate in mapped space, return its location in real space

virtual RealVect mappedCoord (const RealVect &a_x) const =0

given coordinate in real space, return its location in the mapped space

virtual void realCoord (FArrayBox &a_x, const FArrayBox &a_Xi, const Box &a_box) const

given coordinates in mapped space, return locations in real space

virtual void mappedCoord (FArrayBox &a_Xi, const FArrayBox &a_x, const Box &a_box) const

given coordinate in real space, return its location in the mapped space

virtual void getNodeRealCoordinates (FArrayBox &a_nodeCoords, const Box &a_box) const

return Cartesian XYZ locations of nodes

virtual Real dXdXi (const RealVect &a_Xi, int a_dirX, int a_dirXi) const =0

note that a_Xi is in mapped space.

virtual void dXdXi (FArrayBox &a_dxdXi, const FArrayBox &a_Xi, int a_destComp, int a_dirX, int a_dirXi, const Box &a_box) const

note that a_X is in mapped space.

virtual int getNumN () const

returns number of components in the metric term matrix (N)

virtual int getNcomponent (const int a_row, const int a_col) const

index function into face-centered metric terms

virtual void volFlux (FluxBox &a_volFlux, const FluxBox &a_Nt, const Box &a_box) const

computes the volume flux on the faces

virtual void cellVol (FArrayBox &a_vol, const FluxBox &a_N, const Box &a_box) const

computes cell volumes

virtual void getN (FluxBox &a_N, const Box &a_box) const

computes integral of N over each face of a_box

virtual void getAvgJ (FArrayBox &a_avgJ, const FluxBox &a_volFlux, const Box &a_box) const

computes cell-averaged J

virtual void getAvgJ (FArrayBox &a_avgJ, const Box &a_box) const

computes cell-averaged J

virtual void getAvgJinverse (FluxBox &a_avgJinverse, const Box &a_box) const

computes cell-averaged 1/J

virtual void getAvgJinverse (FluxBox &a_avgJinverse, const FArrayBox &a_avgJ, const Box &a_box) const

computes cell-averaged 1/J, using pre-computed cell-avg J

virtual Real pointwiseJ (const RealVect &a_Xi) const

Jacobian evaluated at location Xi in mapped space.

virtual void pointwiseJ (FArrayBox &a_J, const FArrayBox &a_Xi, const Box &a_box) const

Jacobian evaluated at locations Xi in mapped space.

virtual void computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const int a_NNumComp, const FluxBox &a_FforGrad, const Box &a_box, bool a_fourthOrder=true, Interval a_varIntervalProduct=Interval(), Interval a_varIntervalF=Interval(), int a_fluxSpaceContiguous=1, const ProblemDomain *const a_problemDomainPtr=NULL) const

Computes 4th-order average of product = N^T*F. F can be a flux dyad.

virtual void computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const FluxBox &a_FforGrad, const Box &a_box, bool a_fourthOrder=true) const

computes 4th-order average of product = N^T*F. F is vector of a scalar

virtual void computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const Box &a_box, bool a_fourthOrder=true) const

computes 4th-order average of product = N^T*F. F is vector of a scalar

void magnitudeN (FluxBox &a_NMag, const FluxBox &a_N, const Box &a_box) const

Computes magnitude of <N^T> on each face.

virtual void computeNJinverse (FluxBox &a_NJinverse, const FluxBox &a_Jinverse, const FluxBox &a_N, const Box &a_cellBox) const

given N and Jinverse, computes N/J

virtual const RealVect & dx () const

access function to simplify things -- returns mapped-space cell spacing

virtual Real getN (const RealVect &a_Xi, int a_s, int a_d, int a_d1) const

this evaluates the script N values from equation 12 in Phil's notes

virtual Real getNMatrixEntry (const RealVect &a_Xi, int a_s, int a_d, int a_d1, int a_row, int a_column) const

note that a_Xi is in mapped space.

virtual void integrateScriptN (FArrayBox &a_scrN, const int a_dir0, const int a_dir1, const Box &a_box) const

virtual void incrementFaceMetricWithEdgeTerm (FArrayBox &a_faceMetrics, int a_faceDir, int a_edgeDir, const Box &a_box, const Side::LoHiSide &a_side) const

virtual void computeTransverseFaceMetric (FArrayBox &a_faceMetrics, const Box &a_box, int a_faceDir, int a_dDir) const

virtual void computeTangentialGrad (FluxBox &a_gradPhi, const FluxBox &a_phiFace, const Box &a_box) const

virtual int tanGradComp (const int a_faceDir, const int a_tanDir, const int a_comp) const

virtual void contravariantMetric (FArrayBox &a_metric, int a_dir) const

return row a_idir of contravariant metric

virtual void orthonormalize (FluxBox &a_flux, const Interval &a_vectorIntv) const

convert vector components (in a_vectorIntv) of a_flux to orthonormal frame to that of this block

virtual void orthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const

overwrite vector components (in a_vectorIntv) of a_fluxFab with orthonormalized

virtual void orthonormalize (const FArrayBox &a_csFab, FArrayBox &a_orthoFab, const Box &a_box, int a_idir, const IntVect &a_csComps, const IntVect &a_orthoComps) const

convert components in a_csComps of vector a_csFab in coordinate-system basis to components in a_orthoComps of vector a_orthoFab in orthonormal basis, at points with indices in a_box, on lines where direction a_idir is constant

virtual void deorthonormalize (FluxBox &a_flux, const Interval &a_vectorIntv) const

convert vector components (in a_vectorIntv) of a_flux from orthonormal frame to that of this block

virtual void deorthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const

overwrite vector components (in a_vectorIntv) of a_fluxFab with deorthonormalized

virtual void deorthonormalize (const FArrayBox &a_orthoFab, FArrayBox &a_csFab, const Box &a_box, int a_idir, const IntVect &a_orthoComps, const IntVect &a_csComps) const

convert components in a_orthoComps of vector a_orthoFab in orthonormal basis to components in a_csComps of vector a_csFab in coordinate-system basis, at points with indices in a_box, on lines where direction a_idir is constant

Protected Attributes

RealVect m_dx

Interval m_volInterval

EdgeQuadrature * m_quadraturePtr

Constructor & Destructor Documentation

NewFourthOrderCoordSys::NewFourthOrderCoordSys ( )

default constructor

virtual NewFourthOrderCoordSys::~NewFourthOrderCoordSys ( ) [virtual]

Destructor.

Member Function Documentation

virtual RealVect NewFourthOrderCoordSys::realCoord ( const RealVect & a_Xi ) const [pure virtual]

given coordinate in mapped space, return its location in real space

Implements NewCoordSys.

Implemented in AnalyticCS, CartesianBlockCS, CartesianCS, CubedSphere2DPanelCS, CubedSphereShellPanelCS, CylinderEquiangularBlockCS, RThetaPhiCS, RThetaZCS, SchwarzChristoffelRampCS, TwistedCS, WarpedCS, and XPointBlockCoordSys.

virtual RealVect NewFourthOrderCoordSys::mappedCoord ( const RealVect & a_x ) const [pure virtual]

given coordinate in real space, return its location in the mapped space

Implements NewCoordSys.

Implemented in AnalyticCS, CartesianBlockCS, CartesianCS, CubedSphere2DPanelCS, CubedSphereShellPanelCS, CylinderEquiangularBlockCS, RThetaPhiCS, RThetaZCS, SchwarzChristoffelRampCS, TwistedCS, WarpedCS, and XPointBlockCoordSys.

virtual void NewFourthOrderCoordSys::realCoord	(	FArrayBox &	a_x,
		const FArrayBox &	a_Xi,
		const Box &	a_box
	)			const `[virtual]`

given coordinates in mapped space, return locations in real space

Reimplemented from NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::mappedCoord	(	FArrayBox &	a_Xi,
		const FArrayBox &	a_x,
		const Box &	a_box
	)			const `[virtual]`

given coordinate in real space, return its location in the mapped space

Reimplemented from NewCoordSys.

virtual void NewFourthOrderCoordSys::getNodeRealCoordinates	(	FArrayBox &	a_nodeCoords,
		const Box &	a_box
	)			const `[virtual]`

return Cartesian XYZ locations of nodes

nodeCoords should have dimension returned by dimension()

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual Real NewFourthOrderCoordSys::dXdXi	(	const RealVect &	a_Xi,
		int	a_dirX,
		int	a_dirXi
	)			const `[pure virtual]`

note that a_Xi is in mapped space.

Implements NewCoordSys.

Implemented in AnalyticCS, CartesianBlockCS, CartesianCS, CubedSphere2DPanelCS, CubedSphereShellPanelCS, CylinderEquiangularBlockCS, RThetaPhiCS, RThetaZCS, SchwarzChristoffelRampCS, TwistedCS, WarpedCS, and XPointBlockCoordSys.

virtual void NewFourthOrderCoordSys::dXdXi	(	FArrayBox &	a_dxdXi,
		const FArrayBox &	a_Xi,
		int	a_destComp,
		int	a_dirX,
		int	a_dirXi,
		const Box &	a_box
	)			const `[virtual]`

note that a_X is in mapped space.

fills the destComp component of a_dxdXi with the derivative of x w/ respect to Xi in the dirX direction (default implementation is there in case derived class doesn't provide it)

Reimplemented from NewCoordSys.

Reimplemented in XPointBlockCoordSys.

virtual int NewFourthOrderCoordSys::getNumN ( ) const [inline, virtual]

returns number of components in the metric term matrix (N)

Implements NewCoordSys.

References SpaceDim.

virtual int NewFourthOrderCoordSys::getNcomponent	(	const int	a_row,
		const int	a_col
	)			const `[inline, virtual]`

index function into face-centered metric terms

returns which component of the face-centered metric term in which N^row_col is stored.

Note:

is stored in column-major order (fortran).
Then using the same format, is stored in row-major order (C).
so (0,x) gives the start of a column of and a row of .
If you want the computational flux in direction 'd', from the physical flux, 'f', take the scalar product of N(getNcomponent(0, d)) dot f

Implements NewCoordSys.

References SpaceDim.

virtual void NewFourthOrderCoordSys::volFlux	(	FluxBox &	a_volFlux,
		const FluxBox &	a_Nt,
		const Box &	a_box
	)			const `[virtual]`

computes the volume flux on the faces

Reimplemented in CartesianBlockCS, CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::cellVol	(	FArrayBox &	a_vol,
		const FluxBox &	a_N,
		const Box &	a_box
	)			const `[virtual]`

computes cell volumes

Return cell volume in a_vol on cells of a_box, using a_N from getN() defined on a_box grown by 1.

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::getN	(	FluxBox &	a_N,
		const Box &	a_box
	)			const `[virtual]`

computes integral of N over each face of a_box

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::getAvgJ	(	FArrayBox &	a_avgJ,
		const FluxBox &	a_volFlux,
		const Box &	a_box
	)			const `[virtual]`

computes cell-averaged J

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::getAvgJ	(	FArrayBox &	a_avgJ,
		const Box &	a_box
	)			const `[virtual]`

computes cell-averaged J

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::getAvgJinverse	(	FluxBox &	a_avgJinverse,
		const Box &	a_box
	)			const `[virtual]`

computes cell-averaged 1/J

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::getAvgJinverse	(	FluxBox &	a_avgJinverse,
		const FArrayBox &	a_avgJ,
		const Box &	a_box
	)			const `[virtual]`

computes cell-averaged 1/J, using pre-computed cell-avg J

virtual Real NewFourthOrderCoordSys::pointwiseJ ( const RealVect & a_Xi ) const [virtual]

Jacobian evaluated at location Xi in mapped space.

Implements NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::pointwiseJ	(	FArrayBox &	a_J,
		const FArrayBox &	a_Xi,
		const Box &	a_box
	)			const `[virtual]`

Jacobian evaluated at locations Xi in mapped space.

Reimplemented from NewCoordSys.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::computeMetricTermProductAverage	(	FluxBox &	a_product,
		const FluxBox &	a_F,
		const FluxBox &	a_N,
		const int	a_NNumComp,
		const FluxBox &	a_FforGrad,
		const Box &	a_box,
		bool	a_fourthOrder = `true`,
		Interval	a_varIntervalProduct = `Interval()`,
		Interval	a_varIntervalF = `Interval()`,
		int	a_fluxSpaceContiguous = `1`,
		const ProblemDomain *const	a_problemDomainPtr = `NULL`
	)			const `[virtual]`

Computes 4th-order average of product = N^T*F. F can be a flux dyad.

virtual void NewFourthOrderCoordSys::computeMetricTermProductAverage	(	FluxBox &	a_product,
		const FluxBox &	a_F,
		const FluxBox &	a_N,
		const FluxBox &	a_FforGrad,
		const Box &	a_box,
		bool	a_fourthOrder = `true`
	)			const `[virtual]`

computes 4th-order average of product = N^T*F. F is vector of a scalar

if a_fourthOrder is false, then only do a second-order dot product aFforGrad is the F used to compute grad_perp(F); returns results in a_product on a_box; both a_FforGrad and a_N (from getN()) must be defined on a_box grown by 1.

Implements NewCoordSys.

virtual void NewFourthOrderCoordSys::computeMetricTermProductAverage	(	FluxBox &	a_product,
		const FluxBox &	a_F,
		const FluxBox &	a_N,
		const Box &	a_box,
		bool	a_fourthOrder = `true`
	)			const `[virtual]`

computes 4th-order average of product = N^T*F. F is vector of a scalar

if a_fourthOrder is false, then only do a second-order dot product; returns results in a_product on a_box; both a_F and a_N (from getN()) must be defined on a_box grown by 1.

Reimplemented from NewCoordSys.

void NewFourthOrderCoordSys::magnitudeN	(	FluxBox &	a_NMag,
		const FluxBox &	a_N,
		const Box &	a_box
	)			const

Computes magnitude of <N^T> on each face.

virtual void NewFourthOrderCoordSys::computeNJinverse	(	FluxBox &	a_NJinverse,
		const FluxBox &	a_Jinverse,
		const FluxBox &	a_N,
		const Box &	a_cellBox
	)			const `[virtual]`

given N and Jinverse, computes N/J

provided for convenience, since the multicomponent N/J product requires a bit of processing to work with the existing fourth-order multiplication function

virtual const RealVect& NewFourthOrderCoordSys::dx ( ) const [inline, virtual]

access function to simplify things -- returns mapped-space cell spacing

Implements NewCoordSys.

References m_dx.

virtual Real NewFourthOrderCoordSys::getN	(	const RealVect &	a_Xi,
		int	a_s,
		int	a_d,
		int	a_d1
	)			const `[virtual]`

this evaluates the script N values from equation 12 in Phil's notes

note that a_Xi is in mapped space.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual Real NewFourthOrderCoordSys::getNMatrixEntry	(	const RealVect &	a_Xi,
		int	a_s,
		int	a_d,
		int	a_d1,
		int	a_row,
		int	a_column
	)			const `[virtual]`

note that a_Xi is in mapped space.

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::integrateScriptN	(	FArrayBox &	a_scrN,
		const int	a_dir0,
		const int	a_dir1,
		const Box &	a_box
	)			const `[virtual]`

Integrates $\mathcal{N}^s$ on a specific set of codimension 2 hyperedges that are orthogonal to the given directions.

virtual void NewFourthOrderCoordSys::incrementFaceMetricWithEdgeTerm	(	FArrayBox &	a_faceMetrics,
		int	a_faceDir,
		int	a_edgeDir,
		const Box &	a_box,
		const Side::LoHiSide &	a_side
	)			const `[virtual]`

virtual void NewFourthOrderCoordSys::computeTransverseFaceMetric	(	FArrayBox &	a_faceMetrics,
		const Box &	a_box,
		int	a_faceDir,
		int	a_dDir
	)			const `[virtual]`

virtual void NewFourthOrderCoordSys::computeTangentialGrad	(	FluxBox &	a_gradPhi,
		const FluxBox &	a_phiFace,
		const Box &	a_box
	)			const `[virtual]`

virtual int NewFourthOrderCoordSys::tanGradComp	(	const int	a_faceDir,
		const int	a_tanDir,
		const int	a_comp
	)			const `[virtual]`

virtual void NewFourthOrderCoordSys::contravariantMetric	(	FArrayBox &	a_metric,
		int	a_dir
	)			const `[virtual]`

return row a_idir of contravariant metric

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::orthonormalize	(	FluxBox &	a_flux,
		const Interval &	a_vectorIntv
	)			const `[virtual]`

convert vector components (in a_vectorIntv) of a_flux to orthonormal frame to that of this block

virtual void NewFourthOrderCoordSys::orthonormalize	(	FArrayBox &	a_fluxFab,
		const Interval &	a_vectorIntv
	)			const `[virtual]`

overwrite vector components (in a_vectorIntv) of a_fluxFab with orthonormalized

virtual void NewFourthOrderCoordSys::orthonormalize	(	const FArrayBox &	a_csFab,
		FArrayBox &	a_orthoFab,
		const Box &	a_box,
		int	a_idir,
		const IntVect &	a_csComps,
		const IntVect &	a_orthoComps
	)			const `[virtual]`

convert components in a_csComps of vector a_csFab in coordinate-system basis to components in a_orthoComps of vector a_orthoFab in orthonormal basis, at points with indices in a_box, on lines where direction a_idir is constant

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

virtual void NewFourthOrderCoordSys::deorthonormalize	(	FluxBox &	a_flux,
		const Interval &	a_vectorIntv
	)			const `[virtual]`

convert vector components (in a_vectorIntv) of a_flux from orthonormal frame to that of this block

virtual void NewFourthOrderCoordSys::deorthonormalize	(	FArrayBox &	a_fluxFab,
		const Interval &	a_vectorIntv
	)			const `[virtual]`

overwrite vector components (in a_vectorIntv) of a_fluxFab with deorthonormalized

virtual void NewFourthOrderCoordSys::deorthonormalize	(	const FArrayBox &	a_orthoFab,
		FArrayBox &	a_csFab,
		const Box &	a_box,
		int	a_idir,
		const IntVect &	a_orthoComps,
		const IntVect &	a_csComps
	)			const `[virtual]`

convert components in a_orthoComps of vector a_orthoFab in orthonormal basis to components in a_csComps of vector a_csFab in coordinate-system basis, at points with indices in a_box, on lines where direction a_idir is constant

Reimplemented in CubedSphere2DPanelCS, and CubedSphereShellPanelCS.

Member Data Documentation

RealVect NewFourthOrderCoordSys::m_dx [protected]

Referenced by dx(), XPointBlockCoordSys::lowerMappedCoordinate(), and XPointBlockCoordSys::upperMappedCoordinate().

Interval NewFourthOrderCoordSys::m_volInterval [protected]

EdgeQuadrature* NewFourthOrderCoordSys::m_quadraturePtr [protected]

The documentation for this class was generated from the following file:

NewFourthOrderCoordSys.H


Public Member Functions
	NewFourthOrderCoordSys ()
	default constructor
virtual	~NewFourthOrderCoordSys ()
virtual RealVect	realCoord (const RealVect &a_Xi) const =0
	given coordinate in mapped space, return its location in real space
virtual RealVect	mappedCoord (const RealVect &a_x) const =0
	given coordinate in real space, return its location in the mapped space
virtual void	realCoord (FArrayBox &a_x, const FArrayBox &a_Xi, const Box &a_box) const
	given coordinates in mapped space, return locations in real space
virtual void	mappedCoord (FArrayBox &a_Xi, const FArrayBox &a_x, const Box &a_box) const
	given coordinate in real space, return its location in the mapped space
virtual void	getNodeRealCoordinates (FArrayBox &a_nodeCoords, const Box &a_box) const
	return Cartesian XYZ locations of nodes
virtual Real	dXdXi (const RealVect &a_Xi, int a_dirX, int a_dirXi) const =0
	note that a_Xi is in mapped space.
virtual void	dXdXi (FArrayBox &a_dxdXi, const FArrayBox &a_Xi, int a_destComp, int a_dirX, int a_dirXi, const Box &a_box) const
	note that a_X is in mapped space.
virtual int	getNumN () const
	returns number of components in the metric term matrix (N)
virtual int	getNcomponent (const int a_row, const int a_col) const
	index function into face-centered metric terms
virtual void	volFlux (FluxBox &a_volFlux, const FluxBox &a_Nt, const Box &a_box) const
	computes the volume flux on the faces
virtual void	cellVol (FArrayBox &a_vol, const FluxBox &a_N, const Box &a_box) const
	computes cell volumes
virtual void	getN (FluxBox &a_N, const Box &a_box) const
	computes integral of N over each face of a_box
virtual void	getAvgJ (FArrayBox &a_avgJ, const FluxBox &a_volFlux, const Box &a_box) const
	computes cell-averaged J
virtual void	getAvgJ (FArrayBox &a_avgJ, const Box &a_box) const
	computes cell-averaged J
virtual void	getAvgJinverse (FluxBox &a_avgJinverse, const Box &a_box) const
	computes cell-averaged 1/J
virtual void	getAvgJinverse (FluxBox &a_avgJinverse, const FArrayBox &a_avgJ, const Box &a_box) const
	computes cell-averaged 1/J, using pre-computed cell-avg J
virtual Real	pointwiseJ (const RealVect &a_Xi) const
	Jacobian evaluated at location Xi in mapped space.
virtual void	pointwiseJ (FArrayBox &a_J, const FArrayBox &a_Xi, const Box &a_box) const
	Jacobian evaluated at locations Xi in mapped space.
virtual void	computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const int a_NNumComp, const FluxBox &a_FforGrad, const Box &a_box, bool a_fourthOrder=true, Interval a_varIntervalProduct=Interval(), Interval a_varIntervalF=Interval(), int a_fluxSpaceContiguous=1, const ProblemDomain *const a_problemDomainPtr=NULL) const
	Computes 4th-order average of product = N^T*F. F can be a flux dyad.
virtual void	computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const FluxBox &a_FforGrad, const Box &a_box, bool a_fourthOrder=true) const
	computes 4th-order average of product = N^T*F. F is vector of a scalar
virtual void	computeMetricTermProductAverage (FluxBox &a_product, const FluxBox &a_F, const FluxBox &a_N, const Box &a_box, bool a_fourthOrder=true) const
	computes 4th-order average of product = N^T*F. F is vector of a scalar
void	magnitudeN (FluxBox &a_NMag, const FluxBox &a_N, const Box &a_box) const
	Computes magnitude of <N^T> on each face.
virtual void	computeNJinverse (FluxBox &a_NJinverse, const FluxBox &a_Jinverse, const FluxBox &a_N, const Box &a_cellBox) const
	given N and Jinverse, computes N/J
virtual const RealVect &	dx () const
	access function to simplify things -- returns mapped-space cell spacing
virtual Real	getN (const RealVect &a_Xi, int a_s, int a_d, int a_d1) const
	this evaluates the script N values from equation 12 in Phil's notes
virtual Real	getNMatrixEntry (const RealVect &a_Xi, int a_s, int a_d, int a_d1, int a_row, int a_column) const
	note that a_Xi is in mapped space.
virtual void	integrateScriptN (FArrayBox &a_scrN, const int a_dir0, const int a_dir1, const Box &a_box) const
virtual void	incrementFaceMetricWithEdgeTerm (FArrayBox &a_faceMetrics, int a_faceDir, int a_edgeDir, const Box &a_box, const Side::LoHiSide &a_side) const
virtual void	computeTransverseFaceMetric (FArrayBox &a_faceMetrics, const Box &a_box, int a_faceDir, int a_dDir) const
virtual void	computeTangentialGrad (FluxBox &a_gradPhi, const FluxBox &a_phiFace, const Box &a_box) const
virtual int	tanGradComp (const int a_faceDir, const int a_tanDir, const int a_comp) const
virtual void	contravariantMetric (FArrayBox &a_metric, int a_dir) const
	return row a_idir of contravariant metric
virtual void	orthonormalize (FluxBox &a_flux, const Interval &a_vectorIntv) const
	convert vector components (in a_vectorIntv) of a_flux to orthonormal frame to that of this block
virtual void	orthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const
	overwrite vector components (in a_vectorIntv) of a_fluxFab with orthonormalized
virtual void	orthonormalize (const FArrayBox &a_csFab, FArrayBox &a_orthoFab, const Box &a_box, int a_idir, const IntVect &a_csComps, const IntVect &a_orthoComps) const
	convert components in a_csComps of vector a_csFab in coordinate-system basis to components in a_orthoComps of vector a_orthoFab in orthonormal basis, at points with indices in a_box, on lines where direction a_idir is constant
virtual void	deorthonormalize (FluxBox &a_flux, const Interval &a_vectorIntv) const
	convert vector components (in a_vectorIntv) of a_flux from orthonormal frame to that of this block
virtual void	deorthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const
	overwrite vector components (in a_vectorIntv) of a_fluxFab with deorthonormalized
virtual void	deorthonormalize (const FArrayBox &a_orthoFab, FArrayBox &a_csFab, const Box &a_box, int a_idir, const IntVect &a_orthoComps, const IntVect &a_csComps) const
	convert components in a_orthoComps of vector a_orthoFab in orthonormal basis to components in a_csComps of vector a_csFab in coordinate-system basis, at points with indices in a_box, on lines where direction a_idir is constant
Protected Attributes
RealVect	m_dx
Interval	m_volInterval
EdgeQuadrature *	m_quadraturePtr