Functions
template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_convolve (const BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_2nd)
	4th Order Convolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_convolve (BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_2nd)
	4th Order Convolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	convolve (const BoxData< T, C, MEM, D, E > &a_ctr)
	4th Order Convolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	convolve (BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_ctr)
	4th Order Convolution (In Place) More...

template<class T , unsigned int C, MemType MEM, Centering CTR>
void	_convolve (LevelBoxData< T, C, MEM, CTR > &a_avg, const LevelBoxData< T, C, MEM, CTR > &a_ctr, const LevelBoxData< T, C, MEM, CTR > &a_2nd)
	4th Order Convolution (Level, In Place) More...

template<class T , unsigned int C, MemType MEM, Centering CTR>
void	convolve (LevelBoxData< T, C, MEM, CTR > &a_avg, const LevelBoxData< T, C, MEM, CTR > &a_ctr)
	4th Order Convolution (Level, In Place) More...

template<class T , unsigned int C, MemType MEM, Centering CTR, typename Func , typename... Srcs>
void	initConvolve (LevelBoxData< T, C, MEM, CTR > &a_data, Func &a_func, Srcs... a_srcs)
	Initialize and Convolve. More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_deconvolve (const BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_2nd)
	4th Order Deconvolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_deconvolve (BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_2nd)
	4th Order Deconvolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	deconvolve (const BoxData< T, C, MEM, D, E > &a_avg)
	4th Order Deconvolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	deconvolve (BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_avg)
	4th Order Deconvolution (In Place) More...

template<class T , unsigned int C, MemType MEM, Centering CTR>
void	_deconvolve (LevelBoxData< T, C, MEM, CTR > &a_ctr, const LevelBoxData< T, C, MEM, CTR > &a_avg, const LevelBoxData< T, C, MEM, CTR > &a_2nd)
	4th Order Deconvolution (Level, In Place) More...

template<class T , unsigned int C, MemType MEM, Centering CTR>
void	deconvolve (LevelBoxData< T, C, MEM, CTR > &a_ctr, const LevelBoxData< T, C, MEM, CTR > &a_avg)
	4th Order Deconvolution (Level, In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_convolveFace (const BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_2nd, int a_dir)
	4th Order Face Convolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_convolveFace (BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_2nd, int a_dir)
	4th Order Face Convolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	convolveFace (const BoxData< T, C, MEM, D, E > &a_ctr, int a_dir)
	4th Order Face Convolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	convolveFace (BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_ctr, int a_dir)
	4th Order Face Convolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_deconvolveFace (const BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_2nd, int a_dir)
	4th Order Face Deconvolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_deconvolveFace (BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_avg, const BoxData< T, C, MEM, D, E > &a_2nd, int a_dir)
	4th Order Face Deconvolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	deconvolveFace (const BoxData< T, C, MEM, D, E > &a_avg, int a_dir)
	4th Order Face Deconvolution More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	deconvolveFace (BoxData< T, C, MEM, D, E > &a_ctr, const BoxData< T, C, MEM, D, E > &a_avg, int a_dir)
	4th Order Face Deconvolution (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_cellProduct (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd)
	4th Order Cell Averaged Product More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_cellProduct (BoxData< T, C, MEM, D, E > &a_prod, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd)
	4th Order Cell Averaged Product (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	cellProduct (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg)
	4th Order Cell Averaged Product More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	cellProduct (BoxData< T, C, MEM, D, E > &a_product, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg)
	4th Order Cell Averaged Product (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_faceProduct (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd, int a_dir)
	4th Order Face Averaged Product More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_faceProduct (BoxData< T, C, MEM, D, E > &a_prod, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd, int a_dir)
	4th Order Face Averaged Product (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	faceProduct (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, int a_dir)
	4th Order Face Averaged Product More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	faceProduct (BoxData< T, C, MEM, D, E > &a_prod, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, int a_dir)
	4th Order Face Averaged Product (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_cellQuotient (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd)
	4th Order Cell Averaged Quotient More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_cellQuotient (BoxData< T, C, MEM, D, E > &a_quot, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd)
	4th Order Cell Averaged Quotient (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	cellQuotient (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg)
	4th Order Cell Averaged Quotient More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	cellQuotient (BoxData< T, C, MEM, D, E > &a_quot, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg)
	4th Order Cell Averaged Quotient (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_faceQuotient (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd, int a_dir)
	4th Order Face Averaged Quotient More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	_faceQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, const BoxData< T, C, MEM, D, E > &a_p2nd, const BoxData< T, C, MEM, D, E > &a_q2nd, int a_dir)
	4th Order Face Averaged Quotient (In Place) More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	faceQuotient (const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, int a_dir)
	4th Order Face Averaged Quotient More...

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	faceQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_pavg, const BoxData< T, C, MEM, D, E > &a_qavg, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	_faceTensorProduct (const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2, int a_dir)
	4th Order Face Averaged Tensor Product More...

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	_faceTensorProduct (BoxData< T, C, MEM, D, E > &a_product, const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	faceTensorProduct (const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	faceTensorProduct (BoxData< T, C, MEM, D, E > &a_product, const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	_faceTensorQuotient (const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2, int a_dir)
	4th Order Face Averaged Tensor Quotient More...

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	_faceTensorQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	faceTensorQuotient (const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	faceTensorQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr, int a_dir)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	_cellTensorQuotient (const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2)
	4th Order Cell Averaged Tensor Quotient More...

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	_cellTensorQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, 1, MEM, 1, 1 > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, 1, MEM, 1, 1 > &a_qr2)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
BoxData< T, C, MEM, D, E >	cellTensorQuotient (const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr)

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>
void	cellTensorQuotient (BoxData< T, C, MEM, D, E > &a_quotient, const BoxData< T, C, MEM, D, E > &a_ql, const BoxData< T, 1, MEM, 1, 1 > &a_qr)

template<class T , MemType MEM>
BoxData< T, DIM, MEM >	cofactor (const BoxData< T, DIM, MEM > &a_X, int a_dir)
	Cofactor Vector On Face. More...

template<class T , MemType MEM>
void	cofactor (BoxData< T, DIM, MEM > &a_N, const BoxData< T, DIM, MEM > &a_X, int a_dir)
	Cofactor Vector On Face. More...

template<class T , MemType MEM>
BoxData< T, DIM, MEM >	cofactor (const BoxData< T, DIM, MEM > &a_X, int a_dir, Array< T, DIM > a_dx)

template<class T , MemType MEM>
BoxData< T, DIM, MEM, DIM >	cofactorMatrix (const FluxBoxData< T, DIM, MEM > &a_NTFaces, int a_dirNorm)
	Compute Matrix of Cofactors. More...

template<class T , MemType MEM>
void	cofactorMatrix (BoxData< T, DIM, MEM, DIM > &a_NTMatrix, const FluxBoxData< T, DIM, MEM > &a_NTFaces, int a_dirNorm)

template<class T , MemType MEM>
BoxData< T, 1, MEM >	jacobian (const BoxData< T, DIM, MEM > &a_X, const FluxBoxData< T, DIM, MEM > &a_NT)

template<class T , MemType MEM>
void	jacobian (BoxData< T, 1, MEM > &a_J, const BoxData< T, DIM, MEM > &a_X, const FluxBoxData< T, DIM, MEM > &a_NT)

template<class T , MemType MEM>
BoxData< T, 3, MEM >	_edgeCrossProduct3D (const BoxData< T, 3, MEM > &a_ql4, const BoxData< T, 3, MEM > &a_qr4, const BoxData< T, 3, MEM > &a_ql2, const BoxData< T, 3, MEM > &a_qr2, int a_dir)

template<class T , MemType MEM>
void	_edgeCrossProduct3D (BoxData< T, 3, MEM > &a_product, const BoxData< T, 3, MEM > &a_ql4, const BoxData< T, 3, MEM > &a_qr4, const BoxData< T, 3, MEM > &a_ql2, const BoxData< T, 3, MEM > &a_qr2, int a_dir)

template<class T , MemType MEM>
BoxData< T, 3, MEM >	edgeCrossProduct3D (const BoxData< T, 3, MEM > &a_ql, const BoxData< T, 3, MEM > &a_qr, int a_edgedir)

template<class T , MemType MEM>
void	edgeCrossProduct3D (BoxData< T, 3, MEM > &a_product, const BoxData< T, 3, MEM > &a_ql, const BoxData< T, 3, MEM > &a_qr, int a_edgedir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, DR, E >	_cellMatrixProductAB (const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, DR, E >	_faceMatrixProductAB (const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	_faceMatrixProductAB (BoxData< T, CL, MEM, DR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, DR, E >	faceMatrixProductAB (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	faceMatrixProductAB (BoxData< T, CL, MEM, DR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, DL, MEM, DR, E >	_faceMatrixProductATB (const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	_faceMatrixProductATB (BoxData< T, DL, MEM, DR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, CR, E >	_faceMatrixProductABT (const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	_faceMatrixProductABT (BoxData< T, CL, MEM, CR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4, const BoxData< T, CL, MEM, DL, E > &a_ql2, const BoxData< T, CR, MEM, DR, E > &a_qr2, int a_dir)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, DR, E >	_matrixProductAB (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	_matrixProductAB (BoxData< T, CL, MEM, DR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, DL, MEM, DR, E >	matrixProductATB (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	matrixProductATB (BoxData< T, DL, MEM, DR, E > &a_product, const BoxData< T, DL, MEM, CL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, CR, E >	_matrixProductABT (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	_matrixProductABT (BoxData< T, CL, MEM, CR, E > &a_product, const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
BoxData< T, C, MEM, D, E >	_product1D (const BoxData< T, C, MEM, D, E > &a_ql4, const BoxData< T, C, MEM, D, E > &a_qr4, const BoxData< T, C, MEM, D, E > &a_ql2, const BoxData< T, C, MEM, D, E > &a_qr2, int a_dir)

template<class T , unsigned int C, MemType MEM>
BoxData< T, C, MEM, DIM >	_faceGradient (const BoxData< T, C, MEM > &phi, int a_dir, int a_order=4)

template<class T , unsigned int CFLUX, unsigned int CPRIM, MemType MEM>
BoxData< T, CFLUX, MEM >	MHDSphericalFlux (const BoxData< T, CPRIM, MEM > &a_prim4, const BoxData< T, CPRIM, MEM > &a_prim2, const BoxData< T, DIM, MEM, DIM > &a_A4, const BoxData< T, DIM, MEM, DIM > &a_A2, const BoxData< T, 1, MEM > &a_DrDetA4, const BoxData< T, 1, MEM > &a_DrDetA2, const BoxData< T, DIM, MEM > &a_DrAdjA4, const BoxData< T, DIM, MEM > &a_DrAdjA2, const T &a_gamma, int a_dir)

template<class T , unsigned int C, MemType MEM>
BoxData< T, C, MEM, DIM >	_faceGradxPhi (const BoxData< T, C, MEM > &a_phi4, const BoxData< T, C, MEM > &a_phi2, const BoxData< T, DIM, MEM, DIM > &a_NFace4, const BoxData< T, DIM, MEM, DIM > &a_NFace2, const BoxData< T, 1, MEM > &a_JFace4, const BoxData< T, 1, MEM > &a_JFace2, int a_dir)

template<class T , unsigned int C, MemType MEM>
void	_faceGradxPhi (BoxData< T, C, MEM, DIM > &a_grad, const BoxData< T, C, MEM > &a_phi4, const BoxData< T, C, MEM > &a_phi2, const BoxData< T, DIM, MEM, DIM > &a_NFace4, const BoxData< T, DIM, MEM, DIM > &a_NFace2, const BoxData< T, 1, MEM > &a_JFace4, const BoxData< T, 1, MEM > &a_JFace2, int a_dir)

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>
void	spreadSlice (BoxData< T, C, MEM, D, E > &a_bd)
	Spreads a slice. More...

template<class T , MemType MEM>
void	cubedSphereGeometry (BoxData< T, DIM, MEM > &a_X, FluxBoxData< T, DIM, MEM > &a_NT, BoxData< T, 1, MEM > &a_J, BoxData< T, 1, MEM > &a_radius, const Box &a_bx, T a_h)
	Calculation of equiangular cubed-sphere finite-volume metric terms using a semi-analytic approach. More...

template<class T , MemType MEM>
void	cubedSphereGeometry (BoxData< T, DIM, MEM > &a_X, FluxBoxData< T, DIM, MEM > &a_NT, BoxData< T, 1, MEM > &a_J, BoxData< T, 1, MEM > &a_radius, const Box &a_bx, T a_h, int a_case)
	Cubed-sphere for each of the six patches that cover the cube. More...

template<class T , MemType MEM>
void	cubedSphere_nSphere (BoxData< T, DIM, MEM > &a_nSphere, T a_h)

template<class T , MemType MEM>
void	cubedSphere_edge1 (BoxData< T, DIM, MEM > &a_d1n_cross_n, T a_h)

template<class T , MemType MEM>
void	cubedSphere_edge2 (BoxData< T, DIM, MEM > &a_n_cross_d2n, T a_h)

template<class T , MemType MEM>
void	cubedSphereDetAFlux1 (BoxData< T, 1, MEM > &a_detAFlux1, T a_h)

template<class T , MemType MEM>
void	cubedSphereDetAFlux2 (BoxData< T, 1, MEM > &a_detAFlux2, T a_h)

template<class T , MemType MEM>
BoxData< T, DIM, MEM, DIM >	cofactorMatrix (const FluxBoxData< T, DIM, MEM > &a_NTFaces, int a_dirNorm, Array< T, DIM > a_dx)

template<class T , MemType MEM>
BoxData< T, 1, MEM >	jacobian (const BoxData< T, DIM, MEM > &a_X, const FluxBoxData< T, DIM, MEM > &a_NT, Array< T, DIM > a_dx)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
void	matrixProductAB (BoxData< T, CL, MEM, DR, E > &a_qprod, const BoxData< T, DL, MEM, CL, E > &a_ql4, const BoxData< T, CR, MEM, DR, E > &a_qr4)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, DR, E >	_matrixProductAB2 (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, DL, MEM, DR, E >	_matrixProductATB2 (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>
BoxData< T, CL, MEM, CR, E >	_matrixProductABT2 (const BoxData< T, CL, MEM, DL, E > &a_ql, const BoxData< T, CR, MEM, DR, E > &a_qr)

Function Documentation

◆ _convolve() [1/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_convolve	(	const BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_2nd
	)

inline

4th Order Convolution

Compute the 4th order accurate average of a quantity over a cell. Distinguishes between 4th and 2nd order inputs.

Parameters

a_ctr	4th order cell centered quantity
a_2nd	2nd+ order cell centered quantity

◆ _convolve() [2/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_convolve	(	BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_2nd
	)

inline

4th Order Convolution (In Place)

Compute the 4th order accurate average of a quantity over a cell. Distinguishes between 4th and 2nd order inputs.

Parameters

a_avg	4th order cell averaged quantity (output)
a_ctr	4th order cell centered quantity
a_2nd	2nd+ order cell centered quantity

◆ convolve() [1/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::convolve ( const BoxData< T, C, MEM, D, E > & a_ctr )

inline

4th Order Convolution

Compute the 4th order accurate average of a quantity over a cell. Equal to _convolve(ctr, ctr).

Parameters

a_ctr 4th order cell centered quantity

◆ convolve() [2/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::convolve	(	BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_ctr
	)

inline

4th Order Convolution (In Place)

Compute the 4th order accurate average of a quantity over a cell. Equal to _convolve(avg, ctr, ctr).

Parameters

a_avg	4th order cell averaged quantity (output)
a_ctr	4th order cell centered quantity

◆ _convolve() [3/3]

template<class T , unsigned int C, MemType MEM, Centering CTR>

void Operator::_convolve	(	LevelBoxData< T, C, MEM, CTR > &	a_avg,
		const LevelBoxData< T, C, MEM, CTR > &	a_ctr,
		const LevelBoxData< T, C, MEM, CTR > &	a_2nd
	)

inline

4th Order Convolution (Level, In Place)

Compute the 4th order accurate average of a quantity over a level. Distinguishes between 4th and 2nd order inputs. TODO: implement appropriate behavior for non-cell centered LevelData

Parameters

a_avg	4th order cell averaged quantity (output)
a_ctr	4th order cell centered quantity
a_2nd	2nd+ order cell centered quantity

◆ convolve() [3/3]

template<class T , unsigned int C, MemType MEM, Centering CTR>

void Operator::convolve	(	LevelBoxData< T, C, MEM, CTR > &	a_avg,
		const LevelBoxData< T, C, MEM, CTR > &	a_ctr
	)

inline

4th Order Convolution (Level, In Place)

Compute the 4th order accurate average of a quantity over a level. Equal to _convolve(avg, ctr, ctr). TODO: implement appropriate behavior for non-cell centered LevelData

Parameters

a_avg	4th order cell averaged quantity (output)
a_ctr	4th order cell centered quantity

◆ initConvolve()

template<class T , unsigned int C, MemType MEM, Centering CTR, typename Func , typename... Srcs>

void Operator::initConvolve	(	LevelBoxData< T, C, MEM, CTR > &	a_data,
		Func &	a_func,
		Srcs...	a_srcs
	)

inline

Initialize and Convolve.

◆ _deconvolve() [1/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_deconvolve	(	const BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_2nd
	)

inline

4th Order Deconvolution

Compute the 4th order accurate cell centered value of a quantity from its cell average. Distinguishes between 4th and 2nd order inputs

Parameters

a_avg	4th order cell averaged quantity
a_2nd	2nd+ order cell centered quantity

◆ _deconvolve() [2/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_deconvolve	(	BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_2nd
	)

inline

4th Order Deconvolution (In Place)

Compute the 4th order accurate cell centered value of a quantity from its cell average. Distinguishes between 4th and 2nd order inputs

Parameters

a_ctr	4th order cell centered quantity (output)
a_avg	4th order cell averaged quantity
a_2nd	2nd+ order cell centered quantity

◆ deconvolve() [1/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::deconvolve ( const BoxData< T, C, MEM, D, E > & a_avg )

inline

4th Order Deconvolution

Compute the 4th order accurate cell centered value of a quantity from its cell average. Equal to _deconvolve(avg, avg).

Parameters

a_avg 4th order cell averaged quantity

◆ deconvolve() [2/3]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::deconvolve	(	BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_avg
	)

inline

4th Order Deconvolution (In Place)

Compute the 4th order accurate cell centered value of a quantity from its cell average. Equal to _deconvolve(ctr, avg, avg)

Parameters

a_ctr	4th order cell centered quantity (output)
a_avg	4th order cell averaged quantity

◆ _deconvolve() [3/3]

template<class T , unsigned int C, MemType MEM, Centering CTR>

void Operator::_deconvolve	(	LevelBoxData< T, C, MEM, CTR > &	a_ctr,
		const LevelBoxData< T, C, MEM, CTR > &	a_avg,
		const LevelBoxData< T, C, MEM, CTR > &	a_2nd
	)

inline

4th Order Deconvolution (Level, In Place)

Compute the 4th order accurate cell centered quantity over a level. Distinguishes between 2nd and 4th order inputs. TODO: implement appropriate behavior for non-cell centered LevelData

Parameters

a_ctr	4th order cell centered quantity (output)
a_avg	4th order cell averaged quantity
a_2nd	2nd+ order cell centered quantity

◆ deconvolve() [3/3]

template<class T , unsigned int C, MemType MEM, Centering CTR>

void Operator::deconvolve	(	LevelBoxData< T, C, MEM, CTR > &	a_ctr,
		const LevelBoxData< T, C, MEM, CTR > &	a_avg
	)

inline

4th Order Deconvolution (Level, In Place)

Compute the 4th order accurate cell centered quantity over a level. Equal to _deconvolve(ctr, avg, avg); TODO: implement appropriate behavior for non-cell centered LevelData

Parameters

a_ctr	4th order cell centered quantity (output)
a_avg	4th order cell averaged quantity

◆ _convolveFace() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_convolveFace	(	const BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_2nd,
		int	a_dir
	)

inline

4th Order Face Convolution

Compute the 4th order accurate average of a quantity over a face. Distinguishes between 2nd and 4th order inputs.

Parameters

a_ctr	4th order face centered quantity
a_2nd	2nd+ order face centered quantity
a_dir	Face normal

◆ _convolveFace() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_convolveFace	(	BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_2nd,
		int	a_dir
	)

inline

4th Order Face Convolution (In Place)

Compute the 4th order accurate average of a quantity over a face. Distinguishes between 2nd and 4th order inputs.

Parameters

a_avg	4th order face averaged quantity (output)
a_ctr	4th order face centered quantity
a_2nd	2nd+ order face centered quantity
a_dir	Face normal

◆ convolveFace() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::convolveFace	(	const BoxData< T, C, MEM, D, E > &	a_ctr,
		int	a_dir
	)

inline

4th Order Face Convolution

Compute the 4th order accurate average of a quantity over a face. Equal to _convolveFace(ctr, ctr, dir);

Parameters

a_ctr	4th order face centered quantity
a_dir	Face normal

◆ convolveFace() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::convolveFace	(	BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_ctr,
		int	a_dir
	)

inline

4th Order Face Convolution (In Place)

Compute the 4th order accurate average of a quantity over a face. Equal to _convolveFace(avg, ctr, ctr, dir)

Parameters

a_avg	4th order face averaged quantity (output)
a_ctr	4th order face centered quantity
a_dir	Face normal

◆ _deconvolveFace() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_deconvolveFace	(	const BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_2nd,
		int	a_dir
	)

inline

4th Order Face Deconvolution

Compute the 4th order accurate face centered value of a quantity from its face average. Distinguishes between 2nd and 4th order inputs.

Parameters

a_avg	4th order face averaged quantity
a_2nd	2nd+ order face averaged quantity
a_dir	Face normal

◆ _deconvolveFace() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_deconvolveFace	(	BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_avg,
		const BoxData< T, C, MEM, D, E > &	a_2nd,
		int	a_dir
	)

inline

4th Order Face Deconvolution (In Place)

Compute the 4th order accurate face centered value of a quantity from its face average. Distinguishes between 2nd and 4th order inputs.

Parameters

a_ctr	4th order face centered quantity (output)
a_avg	4th order face averaged quantity
a_2nd	2nd+ order face averaged quantity
a_dir	Face normal

◆ deconvolveFace() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::deconvolveFace	(	const BoxData< T, C, MEM, D, E > &	a_avg,
		int	a_dir
	)

inline

4th Order Face Deconvolution

Compute the 4th order accurate face centered value of a quantity from its face average. Equal to _deconvolveFace(avg, avg, dir)

Parameters

a_avg	4th order face averaged quantity
a_dir	Face normal

◆ deconvolveFace() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::deconvolveFace	(	BoxData< T, C, MEM, D, E > &	a_ctr,
		const BoxData< T, C, MEM, D, E > &	a_avg,
		int	a_dir
	)

inline

4th Order Face Deconvolution (In Place)

Compute the 4th order accurate face centered value of a quantity from its face average. Equal to _deconvolveFace(ctr, avg, avg, dir)

Parameters

a_ctr	4th order face centered quantity (output)
a_avg	4th order face averaged quantity
a_dir	Face normal

◆ _cellProduct() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_cellProduct	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd
	)

inline

4th Order Cell Averaged Product

Compute the 4th order accurate cell averaged product rule

*<Q> Distinguishes between 2nd and 4th order inputs.

Parameters

a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q
a_p2nd	2nd+ order cell centered quantity P
a_q2nd	2nd+ order cell centered quantity Q

◆ _cellProduct() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_cellProduct	(	BoxData< T, C, MEM, D, E > &	a_prod,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd
	)

inline

4th Order Cell Averaged Product (In Place)

Compute the 4th order accurate cell averaged product rule

*<Q> Distinguishes between 2nd and 4th order inputs.

Parameters

a_prod	4th order cell averaged product P*Q (output)
a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q
a_p2nd	2nd+ order cell centered quantity P
a_q2nd	2nd+ order cell centered quantity Q

◆ cellProduct() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::cellProduct	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg
	)

inline

4th Order Cell Averaged Product

Compute the 4th order accurate cell averaged product rule

*<Q> Equal to _cellProduct(pavg, qavg, pavg, qavg)

Parameters

a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q

◆ cellProduct() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::cellProduct	(	BoxData< T, C, MEM, D, E > &	a_product,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg
	)

inline

4th Order Cell Averaged Product (In Place)

Compute the 4th order accurate cell averaged product rule

*<Q> Equal to _cellProduct(prod, pavg, qavg, pavg, qavg)

Parameters

a_prod	4th order cell averaged product P*Q (output)
a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q

◆ _faceProduct() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_faceProduct	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd,
		int	a_dir
	)

inline

4th Order Face Averaged Product

Compute the 4th order accurate face averaged product rule

_d * <Q>_d Distinguishes between 2nd and 4th order inputs.

Parameters

a_prod	4th order face averaged product P*Q (output)
a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_p2nd	2nd+ order face centered quantity P
a_q2nd	2nd+ order face centered quantity Q
a_dir	face normal

◆ _faceProduct() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_faceProduct	(	BoxData< T, C, MEM, D, E > &	a_prod,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd,
		int	a_dir
	)

inline

4th Order Face Averaged Product (In Place)

Compute the 4th order accurate face averaged product rule

_d * <Q>_d Distinguishes between 2nd and 4th order inputs.

Parameters

a_prod	4th order face averaged product P*Q (output)
a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_p2nd	2nd+ order face centered quantity P
a_q2nd	2nd+ order face centered quantity Q
a_dir	face normal

◆ faceProduct() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::faceProduct	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		int	a_dir
	)

inline

4th Order Face Averaged Product

Compute the 4th order accurate face averaged product rule

_d * <Q>_d Equal to _faceProduct(pavg, qavg, pavg, qavg, dir)

Parameters

a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_dir	face normal

◆ faceProduct() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::faceProduct	(	BoxData< T, C, MEM, D, E > &	a_prod,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		int	a_dir
	)

inline

4th Order Face Averaged Product (In Place)

Compute the 4th order accurate face averaged product rule

_d * <Q>_d Equal to _faceProduct(prod, pavg, qavg, pavg, qavg, dir)

Parameters

a_prod	4th order face averaged product P*Q (output)
a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_dir	face normal

◆ _cellQuotient() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_cellQuotient	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd
	)

inline

4th Order Cell Averaged Quotient

Compute the 4th order accurate cell averaged quotient rule

/ <Q> Distinguishes between 2nd and 4th order inputs.

Parameters

a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q
a_p2nd	2nd+ order cell centered quantity P
a_q2nd	2nd+ order cell centered quantity Q

◆ _cellQuotient() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_cellQuotient	(	BoxData< T, C, MEM, D, E > &	a_quot,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd
	)

inline

4th Order Cell Averaged Quotient (In Place)

Compute the 4th order accurate cell averaged quotient rule

/ <Q> Distinguishes between 2nd and 4th order inputs.

Parameters

a_quot	4th order cell averaged quotient P / Q (output)
a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q
a_p2nd	2nd+ order cell centered quantity P
a_q2nd	2nd+ order cell centered quantity Q

◆ cellQuotient() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::cellQuotient	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg
	)

inline

4th Order Cell Averaged Quotient

Compute the 4th order accurate cell averaged quotient rule

/ <Q> Equal to _cellQuotient(pavg, qavg, pavg, qavg)

Parameters

a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q

◆ cellQuotient() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::cellQuotient	(	BoxData< T, C, MEM, D, E > &	a_quot,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg
	)

inline

4th Order Cell Averaged Quotient (In Place)

Compute the 4th order accurate cell averaged quotient rule

/ <Q> Equal to _cellQuotient(qout, pavg, qavg, pavg, qavg)

Parameters

a_quot	4th order cell averaged quotient P / Q (output)
a_pavg	4th order cell averaged quantity P
a_qavg	4th order cell averaged quantity Q

◆ _faceQuotient() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_faceQuotient	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd,
		int	a_dir
	)

inline

4th Order Face Averaged Quotient

Compute the 4th order accurate face averaged quotient rule

_d / <Q>_d Distinguishes between 2nd and 4th order inputs.

Parameters

a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_p2nd	2nd+ order face centered quantity P
a_q2nd	2nd+ order face centered quantity Q
a_dir	face normal

◆ _faceQuotient() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::_faceQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		const BoxData< T, C, MEM, D, E > &	a_p2nd,
		const BoxData< T, C, MEM, D, E > &	a_q2nd,
		int	a_dir
	)

inline

4th Order Face Averaged Quotient (In Place)

Compute the 4th order accurate face averaged quotient rule

_d / <Q>_d Distinguishes between 2nd and 4th order inputs.

Parameters

a_quot	4th order face averaged quotient P / Q
a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_p2nd	2nd+ order face centered quantity P
a_q2nd	2nd+ order face centered quantity Q
a_dir	face normal

◆ faceQuotient() [1/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::faceQuotient	(	const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		int	a_dir
	)

inline

4th Order Face Averaged Quotient

Compute the 4th order accurate face averaged quotient rule

_d / <Q>_d Equal to _faceQuotient(pavg, qavg, pavg, qavg, dir)

Parameters

a_pavg	4th order face averaged quantity P
a_qavg	4th order face averaged quantity Q
a_dir	face normal

◆ faceQuotient() [2/2]

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::faceQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_pavg,
		const BoxData< T, C, MEM, D, E > &	a_qavg,
		int	a_dir
	)

inline

◆ _faceTensorProduct() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData< T, C, MEM, D, E > Operator::_faceTensorProduct	(	const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2,
		int	a_dir
	)

inline

4th Order Face Averaged Tensor Product

Returns the 4th order accurate face averaged quotient rule <QR*QL> where QL is a tensor,and QR is a scalar. Distinguishes between 2nd and 4th order inputs.

Parameters

a_ql4	4th order face averaged tensor quantity QL
a_qr4	4th order face averaged scalar quantity QR
a_ql2	2nd+ order face centered quantity QL
a_qr2	2nd+ order face centered quantity QR
a_dir	face normal

◆ _faceTensorProduct() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::_faceTensorProduct	(	BoxData< T, C, MEM, D, E > &	a_product,
		const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2,
		int	a_dir
	)

inline

◆ faceTensorProduct() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData< T, C, MEM, D, E > Operator::faceTensorProduct	(	const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr,
		int	a_dir
	)

inline

◆ faceTensorProduct() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::faceTensorProduct	(	BoxData< T, C, MEM, D, E > &	a_product,
		const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr,
		int	a_dir
	)

inline

◆ _faceTensorQuotient() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData< T, C, MEM, D, E > Operator::_faceTensorQuotient	(	const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2,
		int	a_dir
	)

inline

4th Order Face Averaged Tensor Quotient

Returns the 4th order accurate face averaged quotient rule <(1/QR)*QL> where QL is a tensor,and QR is a scalar. Distinguishes between 2nd and 4th order inputs.

Parameters

a_ql4	4th order face averaged tensor quantity QL
a_qr4	4th order face averaged scalar quantity QR
a_ql2	2nd+ order face centered quantity QL
a_qr2	2nd+ order face centered quantity QR
a_dir	face normal

◆ _faceTensorQuotient() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::_faceTensorQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2,
		int	a_dir
	)

inline

◆ faceTensorQuotient() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData< T, C, MEM, D, E > Operator::faceTensorQuotient	(	const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr,
		int	a_dir
	)

inline

◆ faceTensorQuotient() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::faceTensorQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr,
		int	a_dir
	)

inline

◆ _cellTensorQuotient() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData< T, C, MEM, D, E > Operator::_cellTensorQuotient	(	const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2
	)

inline

4th Order Cell Averaged Tensor Quotient

Returns the 4th order accurate face averaged quotient rule <(1/QR) QL> where QL is a tensor,and QR is a scalar. Distinguishes between 2nd and 4th order inputs.

Parameters

a_ql4	4th order cell averaged tensor quantity QL
a_qr4	4th order cell averaged scalar quantity QR
a_ql2	2nd+ order cell centered quantity QL
a_qr2	2nd+ order cell centered quantity QR

◆ _cellTensorQuotient() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::_cellTensorQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr2
	)

inline

◆ cellTensorQuotient() [1/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

BoxData<T,C,MEM,D,E> Operator::cellTensorQuotient	(	const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr
	)

inline

◆ cellTensorQuotient() [2/2]

template<class T , unsigned int C, unsigned int D, unsigned int E, MemType MEM>

void Operator::cellTensorQuotient	(	BoxData< T, C, MEM, D, E > &	a_quotient,
		const BoxData< T, C, MEM, D, E > &	a_ql,
		const BoxData< T, 1, MEM, 1, 1 > &	a_qr
	)

inline

◆ cofactor() [1/3]

template<class T , MemType MEM>

BoxData< T, DIM, MEM > Operator::cofactor	(	const BoxData< T, DIM, MEM > &	a_X,
		int	a_dir
	)

inline

Cofactor Vector On Face.

◆ cofactor() [2/3]

template<class T , MemType MEM>

void Operator::cofactor	(	BoxData< T, DIM, MEM > &	a_N,
		const BoxData< T, DIM, MEM > &	a_X,
		int	a_dir
	)

inline

Cofactor Vector On Face.

Ghost cell info: DIM = 2: No ghost cells needed, but a_X must be node centered DIM = 3: 2 layers of ghost cells in all directions in addition to node centering

◆ cofactor() [3/3]

template<class T , MemType MEM>

BoxData< T, DIM, MEM > Operator::cofactor	(	const BoxData< T, DIM, MEM > &	a_X,
		int	a_dir,
		Array< T, DIM >	a_dx
	)

inline

◆ cofactorMatrix() [1/3]

template<class T , MemType MEM>

BoxData< T, DIM, MEM, DIM > Operator::cofactorMatrix	(	const FluxBoxData< T, DIM, MEM > &	a_NTFaces,
		int	a_dirNorm
	)

inline

Compute Matrix of Cofactors.

Ghost info: For NTFaces[dir] : dir != norm -> 2 ghost cells in norm, 1 in dir, 0 in others

◆ cofactorMatrix() [2/3]

template<class T , MemType MEM>

void Operator::cofactorMatrix	(	BoxData< T, DIM, MEM, DIM > &	a_NTMatrix,
		const FluxBoxData< T, DIM, MEM > &	a_NTFaces,
		int	a_dirNorm
	)

inline

◆ jacobian() [1/3]

template<class T , MemType MEM>

BoxData< T, 1, MEM > Operator::jacobian	(	const BoxData< T, DIM, MEM > &	a_X,
		const FluxBoxData< T, DIM, MEM > &	a_NT
	)

inline

◆ jacobian() [2/3]

template<class T , MemType MEM>

void Operator::jacobian	(	BoxData< T, 1, MEM > &	a_J,
		const BoxData< T, DIM, MEM > &	a_X,
		const FluxBoxData< T, DIM, MEM > &	a_NT
	)

inline

◆ _edgeCrossProduct3D() [1/2]

template<class T , MemType MEM>

BoxData< T, 3, MEM > Operator::_edgeCrossProduct3D	(	const BoxData< T, 3, MEM > &	a_ql4,
		const BoxData< T, 3, MEM > &	a_qr4,
		const BoxData< T, 3, MEM > &	a_ql2,
		const BoxData< T, 3, MEM > &	a_qr2,
		int	a_dir
	)

inline

◆ _edgeCrossProduct3D() [2/2]

template<class T , MemType MEM>

void Operator::_edgeCrossProduct3D	(	BoxData< T, 3, MEM > &	a_product,
		const BoxData< T, 3, MEM > &	a_ql4,
		const BoxData< T, 3, MEM > &	a_qr4,
		const BoxData< T, 3, MEM > &	a_ql2,
		const BoxData< T, 3, MEM > &	a_qr2,
		int	a_dir
	)

inline

◆ edgeCrossProduct3D() [1/2]

template<class T , MemType MEM>

BoxData< T, 3, MEM > Operator::edgeCrossProduct3D	(	const BoxData< T, 3, MEM > &	a_ql,
		const BoxData< T, 3, MEM > &	a_qr,
		int	a_edgedir
	)

inline

◆ edgeCrossProduct3D() [2/2]

template<class T , MemType MEM>

void Operator::edgeCrossProduct3D	(	BoxData< T, 3, MEM > &	a_product,
		const BoxData< T, 3, MEM > &	a_ql,
		const BoxData< T, 3, MEM > &	a_qr,
		int	a_edgedir
	)

inline

◆ _cellMatrixProductAB()

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData< T, CL, MEM, DR, E > Operator::_cellMatrixProductAB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2
	)

inline

◆ _faceMatrixProductAB() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData< T, CL, MEM, DR, E > Operator::_faceMatrixProductAB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _faceMatrixProductAB() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::_faceMatrixProductAB	(	BoxData< T, CL, MEM, DR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ faceMatrixProductAB() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData< T, CL, MEM, DR, E > Operator::faceMatrixProductAB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr,
		int	a_dir
	)

inline

◆ faceMatrixProductAB() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::faceMatrixProductAB	(	BoxData< T, CL, MEM, DR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr,
		int	a_dir
	)

inline

◆ _faceMatrixProductATB() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData< T, DL, MEM, DR, E > Operator::_faceMatrixProductATB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _faceMatrixProductATB() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::_faceMatrixProductATB	(	BoxData< T, DL, MEM, DR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _faceMatrixProductABT() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData< T, CL, MEM, CR, E > Operator::_faceMatrixProductABT	(	const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _faceMatrixProductABT() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::_faceMatrixProductABT	(	BoxData< T, CL, MEM, CR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4,
		const BoxData< T, CL, MEM, DL, E > &	a_ql2,
		const BoxData< T, CR, MEM, DR, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _matrixProductAB() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,CL,MEM,DR,E> Operator::_matrixProductAB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ _matrixProductAB() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::_matrixProductAB	(	BoxData< T, CL, MEM, DR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ matrixProductATB() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,DL,MEM,DR,E> Operator::matrixProductATB	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ matrixProductATB() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::matrixProductATB	(	BoxData< T, DL, MEM, DR, E > &	a_product,
		const BoxData< T, DL, MEM, CL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ _matrixProductABT() [1/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,CL,MEM,CR,E> Operator::_matrixProductABT	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ _matrixProductABT() [2/2]

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::_matrixProductABT	(	BoxData< T, CL, MEM, CR, E > &	a_product,
		const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

inline

◆ _product1D()

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

BoxData< T, C, MEM, D, E > Operator::_product1D	(	const BoxData< T, C, MEM, D, E > &	a_ql4,
		const BoxData< T, C, MEM, D, E > &	a_qr4,
		const BoxData< T, C, MEM, D, E > &	a_ql2,
		const BoxData< T, C, MEM, D, E > &	a_qr2,
		int	a_dir
	)

inline

◆ _faceGradient()

template<class T , unsigned int C, MemType MEM>

BoxData< T, C, MEM, DIM > Operator::_faceGradient	(	const BoxData< T, C, MEM > &	phi,
		int	a_dir,
		int	a_order = `4`
	)

inline

◆ MHDSphericalFlux()

template<class T , unsigned int CFLUX, unsigned int CPRIM, MemType MEM>

BoxData< T, CFLUX, MEM > Operator::MHDSphericalFlux	(	const BoxData< T, CPRIM, MEM > &	a_prim4,
		const BoxData< T, CPRIM, MEM > &	a_prim2,
		const BoxData< T, DIM, MEM, DIM > &	a_A4,
		const BoxData< T, DIM, MEM, DIM > &	a_A2,
		const BoxData< T, 1, MEM > &	a_DrDetA4,
		const BoxData< T, 1, MEM > &	a_DrDetA2,
		const BoxData< T, DIM, MEM > &	a_DrAdjA4,
		const BoxData< T, DIM, MEM > &	a_DrAdjA2,
		const T &	a_gamma,
		int	a_dir
	)

inline

◆ _faceGradxPhi() [1/2]

template<class T , unsigned int C, MemType MEM>

BoxData< T, C, MEM, DIM > Operator::_faceGradxPhi	(	const BoxData< T, C, MEM > &	a_phi4,
		const BoxData< T, C, MEM > &	a_phi2,
		const BoxData< T, DIM, MEM, DIM > &	a_NFace4,
		const BoxData< T, DIM, MEM, DIM > &	a_NFace2,
		const BoxData< T, 1, MEM > &	a_JFace4,
		const BoxData< T, 1, MEM > &	a_JFace2,
		int	a_dir
	)

inline

◆ _faceGradxPhi() [2/2]

template<class T , unsigned int C, MemType MEM>

void Operator::_faceGradxPhi	(	BoxData< T, C, MEM, DIM > &	a_grad,
		const BoxData< T, C, MEM > &	a_phi4,
		const BoxData< T, C, MEM > &	a_phi2,
		const BoxData< T, DIM, MEM, DIM > &	a_NFace4,
		const BoxData< T, DIM, MEM, DIM > &	a_NFace2,
		const BoxData< T, 1, MEM > &	a_JFace4,
		const BoxData< T, 1, MEM > &	a_JFace2,
		int	a_dir
	)

inline

◆ spreadSlice()

template<class T , unsigned int C, MemType MEM, unsigned int D, unsigned int E>

void Operator::spreadSlice ( BoxData< T, C, MEM, D, E > & a_bd )

inline

Spreads a slice.

◆ cubedSphereGeometry() [1/2]

template<class T , MemType MEM>

void Operator::cubedSphereGeometry	(	BoxData< T, DIM, MEM > &	a_X,
		FluxBoxData< T, DIM, MEM > &	a_NT,
		BoxData< T, 1, MEM > &	a_J,
		BoxData< T, 1, MEM > &	a_radius,
		const Box &	a_bx,
		T	a_h
	)

inline

Calculation of equiangular cubed-sphere finite-volume metric terms using a semi-analytic approach.

Calculation of equiangular cubed-sphere finite-volume metric terms using a semi-analytic approach - the only numerical quadratures that appear are integrals along coordinate lines. The mapping is given by

\[ \textbf{X}(\xi_0,\xi_1,\xi_2) = r(\xi_0) \frac{(1,tan(\alpha), tan(\beta))}{(1 + tan(\alpha)^2 + tan(\beta)^2)^{\frac{1}{2}}} , \alpha = (\xi_1 - \frac{1}{2} ) \frac{\pi}{2}, \beta = (\xi_2 - \frac{1}{2} ) \frac{\pi}{2} \]

Parameters

a_bx	cell-centered Box that define where the metric terms are being computed.
a_h	mesh spacing in \( \xi \) space.
a_radius	\(r(\textbf{p} ~ {a\_h})\) for Points \(\textbf{p}\) corresponding to the corners of a_bx.
a_X	the mapping \(\textbf{X}(\textbf{p} ~ \text{a_h} ) \) for Points corresponding to the corners of a_bx.
a_NT[d]	for d = 0,1,2, the average of the d-th row of the cofactor matrix over the d-faces of a_bx.
a_J	the average of the \( \det ( \nabla_\xi\textbf{X} )\) over the control volumes centered at the points in a_bx. For more details, see ref[].

◆ cubedSphereGeometry() [2/2]

template<class T , MemType MEM>

void Operator::cubedSphereGeometry	(	BoxData< T, DIM, MEM > &	a_X,
		FluxBoxData< T, DIM, MEM > &	a_NT,
		BoxData< T, 1, MEM > &	a_J,
		BoxData< T, 1, MEM > &	a_radius,
		const Box &	a_bx,
		T	a_h,
		int	a_case
	)

inline

Cubed-sphere for each of the six patches that cover the cube.

Cubed-sphere for each of the patches that covers the cube. Arguments the same as above, with an additional argument a_case = 0, ..., 5 for the patch index.

\[ \textbf{X}_c(\Xi ) = \textbf{X}(\Xi) \cdot P_c \\ \{P_c\} = \left[ \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & -1 \\ -1 & 0 & 0 \end{pmatrix} \text{ , } \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{pmatrix} \text{ , } \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{pmatrix} \text{ , } \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix} \text{ , } \begin{pmatrix} 0 & -1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{pmatrix} \text{ , } \begin{pmatrix} -1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 1 \end{pmatrix}\right] \]

◆ cubedSphere_nSphere()

template<class T , MemType MEM>

void Operator::cubedSphere_nSphere	(	BoxData< T, DIM, MEM > &	a_nSphere,
		T	a_h
	)

inline

◆ cubedSphere_edge1()

template<class T , MemType MEM>

void Operator::cubedSphere_edge1	(	BoxData< T, DIM, MEM > &	a_d1n_cross_n,
		T	a_h
	)

inline

◆ cubedSphere_edge2()

template<class T , MemType MEM>

void Operator::cubedSphere_edge2	(	BoxData< T, DIM, MEM > &	a_n_cross_d2n,
		T	a_h
	)

inline

◆ cubedSphereDetAFlux1()

template<class T , MemType MEM>

void Operator::cubedSphereDetAFlux1	(	BoxData< T, 1, MEM > &	a_detAFlux1,
		T	a_h
	)

inline

◆ cubedSphereDetAFlux2()

template<class T , MemType MEM>

void Operator::cubedSphereDetAFlux2	(	BoxData< T, 1, MEM > &	a_detAFlux2,
		T	a_h
	)

◆ cofactorMatrix() [3/3]

template<class T , MemType MEM>

BoxData<T,DIM,MEM,DIM> Operator::cofactorMatrix	(	const FluxBoxData< T, DIM, MEM > &	a_NTFaces,
		int	a_dirNorm,
		Array< T, DIM >	a_dx
	)

◆ jacobian() [3/3]

template<class T , MemType MEM>

BoxData<T,1,MEM> Operator::jacobian	(	const BoxData< T, DIM, MEM > &	a_X,
		const FluxBoxData< T, DIM, MEM > &	a_NT,
		Array< T, DIM >	a_dx
	)

◆ matrixProductAB()

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

void Operator::matrixProductAB	(	BoxData< T, CL, MEM, DR, E > &	a_qprod,
		const BoxData< T, DL, MEM, CL, E > &	a_ql4,
		const BoxData< T, CR, MEM, DR, E > &	a_qr4
	)

◆ _matrixProductAB2()

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,CL,MEM,DR,E> Operator::_matrixProductAB2	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

◆ _matrixProductATB2()

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,DL,MEM,DR,E> Operator::_matrixProductATB2	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

◆ _matrixProductABT2()

template<class T , unsigned int CL, unsigned int DL, unsigned int CR, unsigned int DR, unsigned int E, MemType MEM>

BoxData<T,CL,MEM,CR,E> Operator::_matrixProductABT2	(	const BoxData< T, CL, MEM, DL, E > &	a_ql,
		const BoxData< T, CR, MEM, DR, E > &	a_qr
	)

Functions

Function Documentation

◆ _convolve() [1/3]

◆ _convolve() [2/3]

◆ convolve() [1/3]

◆ convolve() [2/3]

◆ _convolve() [3/3]

◆ convolve() [3/3]

◆ initConvolve()

◆ _deconvolve() [1/3]

◆ _deconvolve() [2/3]

◆ deconvolve() [1/3]

◆ deconvolve() [2/3]

◆ _deconvolve() [3/3]

◆ deconvolve() [3/3]

◆ _convolveFace() [1/2]

◆ _convolveFace() [2/2]

◆ convolveFace() [1/2]

◆ convolveFace() [2/2]

◆ _deconvolveFace() [1/2]

◆ _deconvolveFace() [2/2]

◆ deconvolveFace() [1/2]

◆ deconvolveFace() [2/2]

◆ _cellProduct() [1/2]

◆ _cellProduct() [2/2]

◆ cellProduct() [1/2]

◆ cellProduct() [2/2]

◆ _faceProduct() [1/2]

◆ _faceProduct() [2/2]

◆ faceProduct() [1/2]

◆ faceProduct() [2/2]

◆ _cellQuotient() [1/2]

◆ _cellQuotient() [2/2]

◆ cellQuotient() [1/2]

◆ cellQuotient() [2/2]

◆ _faceQuotient() [1/2]

◆ _faceQuotient() [2/2]

◆ faceQuotient() [1/2]

◆ faceQuotient() [2/2]

◆ _faceTensorProduct() [1/2]

◆ _faceTensorProduct() [2/2]

◆ faceTensorProduct() [1/2]

◆ faceTensorProduct() [2/2]

◆ _faceTensorQuotient() [1/2]

◆ _faceTensorQuotient() [2/2]

◆ faceTensorQuotient() [1/2]

◆ faceTensorQuotient() [2/2]

◆ _cellTensorQuotient() [1/2]

◆ _cellTensorQuotient() [2/2]

◆ cellTensorQuotient() [1/2]

◆ cellTensorQuotient() [2/2]

◆ cofactor() [1/3]

◆ cofactor() [2/3]

◆ cofactor() [3/3]

◆ cofactorMatrix() [1/3]

◆ cofactorMatrix() [2/3]

◆ jacobian() [1/3]

◆ jacobian() [2/3]

◆ _edgeCrossProduct3D() [1/2]

◆ _edgeCrossProduct3D() [2/2]

◆ edgeCrossProduct3D() [1/2]

◆ edgeCrossProduct3D() [2/2]

◆ _cellMatrixProductAB()

◆ _faceMatrixProductAB() [1/2]

◆ _faceMatrixProductAB() [2/2]

◆ faceMatrixProductAB() [1/2]

◆ faceMatrixProductAB() [2/2]

◆ _faceMatrixProductATB() [1/2]

◆ _faceMatrixProductATB() [2/2]

◆ _faceMatrixProductABT() [1/2]

◆ _faceMatrixProductABT() [2/2]

◆ _matrixProductAB() [1/2]

◆ _matrixProductAB() [2/2]

◆ matrixProductATB() [1/2]

◆ matrixProductATB() [2/2]

◆ _matrixProductABT() [1/2]

◆ _matrixProductABT() [2/2]

◆ _product1D()

◆ _faceGradient()

◆ MHDSphericalFlux()