Virtual base class encapsulating mapped-grid coordinate systems. More...

#include <NewFourthOrderCoordSys.H>

Inheritance diagram for NewFourthOrderCoordSys:

[legend]

Public Member Functions
	NewFourthOrderCoordSys ()
	default constructor More...

virtual	~NewFourthOrderCoordSys ()

virtual RealVect	realCoord (const RealVect &a_Xi) const =0
	given coordinate in mapped space, return its location in real space More...

virtual RealVect	mappedCoord (const RealVect &a_x) const =0
	given coordinate in real space, return its location in the mapped space More...

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 More...

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 More...

virtual void	getNodeRealCoordinates (FArrayBox &a_nodeCoords, const Box &a_box) const
	return Cartesian XYZ locations of nodes More...

virtual Real	dXdXi (const RealVect &a_Xi, int a_dirX, int a_dirXi) const =0
	note that a_Xi is in mapped space. More...

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. More...

virtual int	getNumN () const
	returns number of components in the metric term matrix (N) More...

virtual int	getNcomponent (const int a_row, const int a_col) const
	index function into face-centered metric terms More...

virtual void	volFlux (FluxBox &a_volFlux, const FluxBox &a_Nt, const Box &a_box) const
	computes the volume flux on the faces More...

virtual void	cellVol (FArrayBox &a_vol, const FluxBox &a_N, const Box &a_box) const
	computes cell volumes More...

virtual void	getN (FluxBox &a_N, const Box &a_box) const
	computes integral of N over each face of a_box More...

virtual void	getAvgJ (FArrayBox &a_avgJ, const FluxBox &a_volFlux, const Box &a_box) const
	computes cell-averaged J More...

virtual void	getAvgJ (FArrayBox &a_avgJ, const Box &a_box) const
	computes cell-averaged J More...

virtual void	getAvgJinverse (FluxBox &a_avgJinverse, const Box &a_box) const
	computes cell-averaged 1/J More...

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 More...

virtual Real	pointwiseJ (const RealVect &a_Xi) const
	Jacobian evaluated at location Xi in mapped space. More...

virtual void	pointwiseJ (FArrayBox &a_J, const FArrayBox &a_Xi, const Box &a_box) const
	Jacobian evaluated at locations Xi in mapped space. More...

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. More...

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 More...

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 More...

void	magnitudeN (FluxBox &a_NMag, const FluxBox &a_N, const Box &a_box) const
	Computes magnitude of <N^T> on each face. More...

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 More...

virtual const RealVect &	dx () const
	access function to simplify things – returns mapped-space cell spacing More...

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 More...

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. More...

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 More...

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 More...

virtual void	orthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const
	overwrite vector components (in a_vectorIntv) of a_fluxFab with orthonormalized More...

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 More...

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 More...

virtual void	deorthonormalize (FArrayBox &a_fluxFab, const Interval &a_vectorIntv) const
	overwrite vector components (in a_vectorIntv) of a_fluxFab with deorthonormalized More...

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 More...

Public Member Functions inherited from NewCoordSys
	NewCoordSys ()
	default constructor More...

virtual	~NewCoordSys ()

virtual void	getCenterMappedCoordinates (FArrayBox &a_Xi, const Box &a_box) const
	given indices in a_box, return centers of cells (or of faces, or of edges) in mapped coordinates. The function does the right thing based on the centering of a_box, which must be the same centering as a_Xi. More...

virtual RealVect	centerMappedCoordinates (const IntVect &a_iv) const
	given indices, return centers of cells in mapped coordinates More...

virtual int	dimension () const
	returns dimensionality of the space More...

virtual void	computeDivergence (FArrayBox &a_divF, const FluxBox &a_F, const FluxBox &a_N, const Box &a_box, Interval &divInterval) const
	returns integral of divergence over mapped-grid cells More...

virtual VectorTransformation	vectorTransformationMappedToReal (const RealVect &a_Xi) const
	return matrix that transforms vector components from mapped space to real space at point a_Xi in mapped space More...

virtual VectorTransformation	vectorTransformationRealToMapped (const RealVect &a_Xi) const
	return matrix that transforms vector components from real space to mapped space at point a_Xi in mapped space More...

virtual VectorTransformation	vectorTransformationMappedToRealCenter (const IntVect &a_iv) const
	return matrix that transforms vector components from mapped space to real space at center of cell a_iv More...

virtual VectorTransformation	vectorTransformationRealToMappedCenter (const IntVect &a_iv) const
	return matrix that transforms vector components from real space to mapped space at center of cell a_iv More...

virtual void	vectorTransformMappedToRealCenterFab (FArrayBox &a_vectorFab) const
	transform a FAB of SpaceDim-vectors from mapped-coordinate basis to real-coordinate basis at cell centers More...

virtual void	vectorTransformMappedToRealAvgFab (FArrayBox &a_vectorFab, const FArrayBox &a_gradVectorFab) const
	transform a FAB of SpaceDim-vectors from mapped-coordinate basis to real-coordinate basis, averaged over cells More...

virtual void	vectorTransformRealToMappedCenterFab (FArrayBox &a_vectorFab) const
	transform a FAB of SpaceDim-vectors from real-coordinate basis to mapped-coordinate basis at cell centers More...

virtual void	vectorTransformRealToMappedAvgFab (FArrayBox &a_vectorFab, const FArrayBox &a_gradVectorFab) const
	transform a FAB of SpaceDim-vectors from real-coordinate basis to mapped-coordinate basis, averaged over cells More...

virtual void	setTime (const Real &a_time) const
	Set time for moving grids. More...

Static Public Member Functions
static const IntVect &	metricsCompDir (const int a_iDir)
	Same as getNcomponent but returns an IntVect for an 'a_col' (direction) More...

Protected Attributes
RealVect	m_dx

Interval	m_volInterval

EdgeQuadrature *	m_quadraturePtr

Protected Attributes inherited from NewCoordSys
Real	m_time
	Const is already well entrenched. More...

Additional Inherited Members
Protected Member Functions inherited from NewCoordSys
virtual void	vectorTransformInternalAvgFab (FArrayBox &a_vectorFab, const FArrayBox &a_gradVectorFab, const BaseFab< VectorTransformation > &a_tfmCenterFab) const
	internal function to transform a FAB of SpaceDim-vectors from one basis to another, averaged over cells, given BaseFab of vector transformations at cell centers More...

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; }

Constructor & Destructor Documentation

◆ NewFourthOrderCoordSys()

NewFourthOrderCoordSys::NewFourthOrderCoordSys ( )

default constructor

◆ ~NewFourthOrderCoordSys()

virtual NewFourthOrderCoordSys::~NewFourthOrderCoordSys ( )

virtual

Destructor.

Member Function Documentation

◆ realCoord() [1/2]

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 CubedSphereShellPanelCS, SchwarzChristoffelRampCS, CubedSphereSolidBlockCS, CubedSphere2DPanelCS, RThetaPhiCS, CartesianBlockRotateCS, XPointBlockCoordSys, WarpedCS, CartesianBlockCS, CylinderEquiangularBlockCS, CylinderSpokesBlockCS, CartesianCS, AnalyticCS, TwistedCS, and RThetaZCS.

◆ mappedCoord() [1/2]

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 CubedSphereShellPanelCS, SchwarzChristoffelRampCS, CubedSphereSolidBlockCS, CubedSphere2DPanelCS, XPointBlockCoordSys, RThetaPhiCS, CartesianBlockRotateCS, WarpedCS, CartesianBlockCS, CylinderEquiangularBlockCS, CylinderSpokesBlockCS, CartesianCS, AnalyticCS, TwistedCS, and RThetaZCS.

◆ realCoord() [2/2]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ mappedCoord() [2/2]

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.

◆ getNodeRealCoordinates()

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ dXdXi() [1/2]

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 CubedSphereShellPanelCS, CubedSphere2DPanelCS, SchwarzChristoffelRampCS, CubedSphereSolidBlockCS, XPointBlockCoordSys, RThetaPhiCS, CartesianBlockRotateCS, WarpedCS, CartesianBlockCS, CylinderEquiangularBlockCS, CylinderSpokesBlockCS, CartesianCS, TwistedCS, AnalyticCS, and RThetaZCS.

◆ dXdXi() [2/2]

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.

◆ getNumN()

virtual int NewFourthOrderCoordSys::getNumN ( ) const

inlinevirtual

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

Implements NewCoordSys.

References SpaceDim.

◆ getNcomponent()

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

inlinevirtual

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.

◆ metricsCompDir()

static const IntVect& NewFourthOrderCoordSys::metricsCompDir ( const int a_iDir )

inlinestatic

Same as getNcomponent but returns an IntVect for an 'a_col' (direction)

References cellVol(), computeMetricTermProductAverage(), computeNJinverse(), D_DECL6, getAvgJ(), getAvgJinverse(), getN(), magnitudeN(), pointwiseJ(), SpaceDim, and volFlux().

◆ volFlux()

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 CubedSphereShellPanelCS, CubedSphere2DPanelCS, CartesianBlockRotateCS, and CartesianBlockCS.

Referenced by metricsCompDir().

◆ cellVol()

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by metricsCompDir().

◆ getN() [1/2]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by dx(), and metricsCompDir().

◆ getAvgJ() [1/2]

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

virtual

computes cell-averaged J

Reimplemented in CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by metricsCompDir().

◆ getAvgJ() [2/2]

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

virtual

computes cell-averaged J

Implements NewCoordSys.

Reimplemented in CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ getAvgJinverse() [1/2]

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

virtual

computes cell-averaged 1/J

Implements NewCoordSys.

Reimplemented in CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by metricsCompDir().

◆ getAvgJinverse() [2/2]

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

◆ pointwiseJ() [1/2]

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

virtual

Jacobian evaluated at location Xi in mapped space.

Implements NewCoordSys.

Reimplemented in CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by metricsCompDir().

◆ pointwiseJ() [2/2]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ computeMetricTermProductAverage() [1/3]

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.

Referenced by metricsCompDir().

◆ computeMetricTermProductAverage() [2/3]

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.

◆ computeMetricTermProductAverage() [3/3]

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.

◆ magnitudeN()

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

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

Referenced by metricsCompDir().

◆ computeNJinverse()

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

Referenced by metricsCompDir().

◆ dx()

virtual const RealVect& NewFourthOrderCoordSys::dx ( ) const

inlinevirtual

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

Implements NewCoordSys.

References computeTangentialGrad(), computeTransverseFaceMetric(), contravariantMetric(), deorthonormalize(), getN(), getNMatrixEntry(), incrementFaceMetricWithEdgeTerm(), integrateScriptN(), m_dx, orthonormalize(), and tanGradComp().

◆ getN() [2/2]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ getNMatrixEntry()

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by dx().

◆ integrateScriptN()

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.

Referenced by dx().

◆ incrementFaceMetricWithEdgeTerm()

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

virtual

Referenced by dx().

◆ computeTransverseFaceMetric()

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

virtual

Referenced by dx().

◆ computeTangentialGrad()

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

virtual

Referenced by dx().

◆ tanGradComp()

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

virtual

Referenced by dx().

◆ contravariantMetric()

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

virtual

return row a_idir of contravariant metric

Reimplemented in CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Referenced by dx().

◆ orthonormalize() [1/3]

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

Referenced by dx().

◆ orthonormalize() [2/3]

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

virtual

overwrite vector components (in a_vectorIntv) of a_fluxFab with orthonormalized

◆ orthonormalize() [3/3]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

◆ deorthonormalize() [1/3]

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

Referenced by dx().

◆ deorthonormalize() [2/3]

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

virtual

overwrite vector components (in a_vectorIntv) of a_fluxFab with deorthonormalized

◆ deorthonormalize() [3/3]

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 CubedSphereShellPanelCS, and CubedSphere2DPanelCS.

Member Data Documentation

◆ m_dx

RealVect NewFourthOrderCoordSys::m_dx

protected

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

◆ m_volInterval

Interval NewFourthOrderCoordSys::m_volInterval

protected

◆ m_quadraturePtr

EdgeQuadrature* NewFourthOrderCoordSys::m_quadraturePtr

protected

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

NewFourthOrderCoordSys.H

Public Member Functions

Static Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ NewFourthOrderCoordSys()

◆ ~NewFourthOrderCoordSys()

Member Function Documentation

◆ realCoord() [1/2]

◆ mappedCoord() [1/2]

◆ realCoord() [2/2]

◆ mappedCoord() [2/2]

◆ getNodeRealCoordinates()

◆ dXdXi() [1/2]

◆ dXdXi() [2/2]

◆ getNumN()

◆ getNcomponent()

◆ metricsCompDir()

◆ volFlux()

◆ cellVol()

◆ getN() [1/2]

◆ getAvgJ() [1/2]

◆ getAvgJ() [2/2]

◆ getAvgJinverse() [1/2]

◆ getAvgJinverse() [2/2]

◆ pointwiseJ() [1/2]

◆ pointwiseJ() [2/2]

◆ computeMetricTermProductAverage() [1/3]

◆ computeMetricTermProductAverage() [2/3]

◆ computeMetricTermProductAverage() [3/3]

◆ magnitudeN()

◆ computeNJinverse()

◆ dx()

◆ getN() [2/2]

◆ getNMatrixEntry()

◆ integrateScriptN()

◆ incrementFaceMetricWithEdgeTerm()

◆ computeTransverseFaceMetric()

◆ computeTangentialGrad()

◆ tanGradComp()

◆ contravariantMetric()

◆ orthonormalize() [1/3]

◆ orthonormalize() [2/3]

◆ orthonormalize() [3/3]

◆ deorthonormalize() [1/3]

◆ deorthonormalize() [2/3]

◆ deorthonormalize() [3/3]

Member Data Documentation

◆ m_dx

◆ m_volInterval

◆ m_quadraturePtr