Numerics Namespace Reference

Functions
template<class Shortcuts >
void	get_stiffness_tensor (const double *Q, double &c11, double &c22, double &c33, double &c44, double &c55, double &c66, double &c12, double &c13, double &c23)
template<class Shortcuts >
void	compute_parameters (const double *Q, double &rho, double &cp, double cs[], int direction)
void	riemannSolver_boundary (int faceIndex, double r, double vn, double vm, double vl, double Tn, double Tm, double Tl, double zp, double zs[2], double &vn_hat, double &vm_hat, double &vl_hat, double &Tn_hat, double &Tm_hat, double &Tl_hat)
template<class Shortcuts , int order, int numberOfVariables, int numberOfParameters>
void	riemannSolver (double *FL, double *FR, const double *const QL, const double *const QR, const double dt, const int direction, bool isBoundaryFace, int faceIndex)
template<class Shortcuts >
void	rotate_dofs_inverse (double *Q, const int direction_1)
template<class Shortcuts >
void	rotate_dofs (double *Q, const int direction_1)
template<class Shortcuts >
void	right_eigenvectors (const double Q[], const int direction, double eigenvectors[])
template<class Shortcuts >
void	right_eigenvectors_inverse (const double Q[], const int direction, double eigenvectors[])
template<class Shortcuts >
void	eigenvalues (const double Q[], double lambda[])
template<class Shortcuts >
double	computeSmax (const double *const Q_L, const double *const Q_R)
template<class Shortcuts >
void	computeAbsA (const double *const Q_L, const double *const Q_R, double absA[], int direction)
	Computes AT = 0.5 * smax * T * (I + R*deltaLambda + R^-1)
template<class Solver , class Shortcuts >
void	hllem (Solver *solver, double *FL_, double *FR_, const double *const QL_, const double *const QR_, const int direction)
template<class Shortcuts >
void	compute_parameters (const double *Q, double &rho, double &cp, double &cs, double &mu, double &lam)
void	riemannSolver_boundary (int faceIndex, double r, double vn, double vm, double vl, double Tn, double Tm, double Tl, double zp, double zs, double &vn_hat, double &vm_hat, double &vl_hat, double &Tn_hat, double &Tm_hat, double &Tl_hat)
template<class Shortcuts , int basisSize, int numberOfVariables, int numberOfData, int surface = 2>
void	riemannSolver (double *FL, double *FR, const double *const QL, const double *const QR, const double dt, const int direction, bool isBoundaryFace, int faceIndex)
template<class Shortcuts >
void	compute_tractions (const double *Q, const double *n, double &Tx, double &Ty, double &Tz)
template<class Shortcuts >
void	get_velocities (const double *Q, double &vx, double &vy, double &vz)
void	Gram_Schmidt (double *y, double *z)
void	create_local_basis (double *n, double *m, double *l)
void	riemannSolver_Nodal (double v_p, double v_m, double sigma_p, double sigma_m, double z_p, double z_m, double &v_hat_p, double &v_hat_m, double &sigma_hat_p, double &sigma_hat_m)
void	riemannSolver_BC0 (double v, double sigma, double z, double r, double &v_hat, double &sigma_hat)
void	riemannSolver_BCn (double v, double sigma, double z, double r, double &v_hat, double &sigma_hat)
void	rotate_into_orthogonal_basis (double *n, double *m, double *l, double Tx, double Ty, double Tz, double &Tn, double &Tm, double &Tl)
void	rotate_into_physical_basis (double *n, double *m, double *l, double Fn, double Fm, double Fl, double &Fx, double &Fy, double &Fz)
void	compute_fluctuations_left (double z, double T, double T_hat, double v, double v_hat, double &F)
void	compute_fluctuations_right (double z, double T, double T_hat, double v, double v_hat, double &F)
template<class Shortcuts >
void	get_normals (const double *Q, int direction, double &norm, double *n)

Function Documentation

compute_fluctuations_left()

void Numerics::compute_fluctuations_left	(	double	z,
		double	T,
		double	T_hat,
		double	v,
		double	v_hat,
		double &	F
	)

Definition at line 193 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver().

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compute_fluctuations_right()

void Numerics::compute_fluctuations_right	(	double	z,
		double	T,
		double	T_hat,
		double	v,
		double	v_hat,
		double &	F
	)

Definition at line 197 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver().

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compute_parameters() [1/2]

template<class Shortcuts >

void Numerics::compute_parameters	(	const double *	Q,
		double &	rho,
		double &	cp,
		double &	cs,
		double &	mu,
		double &	lam
	)

Definition at line 8 of file riemannsolver_isotropic.h.

References get_stiffness_tensor().

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compute_parameters() [2/2]

template<class Shortcuts >

void Numerics::compute_parameters	(	const double *	Q,
		double &	rho,
		double &	cp,
		double	cs[],
		int	direction
	)

Definition at line 7 of file riemannsolver_anisotropic.h.

compute_tractions()

template<class Shortcuts >

void Numerics::compute_tractions	(	const double *	Q,
		const double *	n,
		double &	Tx,
		double &	Ty,
		double &	Tz
	)

Definition at line 4 of file riemannsolver_routines.h.

References get_stiffness_tensor().

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computeAbsA()

template<class Shortcuts >

void Numerics::computeAbsA	(	const double *const	Q_L,
		const double *const	Q_R,
		double	absA[],
		int	direction
	)

Computes AT = 0.5 * smax * T * (I + R*deltaLambda + R^-1)

Definition at line 251 of file riemannsolver_diffuse.h.

References assertion, tarch::la::equals(), and get_stiffness_tensor().

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computeSmax()

template<class Shortcuts >

double Numerics::computeSmax	(	const double *const	Q_L,
		const double *const	Q_R
	)

Definition at line 226 of file riemannsolver_diffuse.h.

References get_stiffness_tensor().

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create_local_basis()

void Numerics::create_local_basis	(	double *	n,
		double *	m,
		double *	l
	)

Definition at line 61 of file riemannsolver_routines.h.

References get_stiffness_tensor(), and Gram_Schmidt().

Referenced by riemannSolver().

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eigenvalues()

template<class Shortcuts >

void Numerics::eigenvalues	(	const double	Q[],
		double	lambda[]
	)

Definition at line 206 of file riemannsolver_diffuse.h.

References get_stiffness_tensor().

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get_normals()

template<class Shortcuts >

void Numerics::get_normals	(	const double *	Q,
		int	direction,
		double &	norm,
		double *	n
	)

Definition at line 3 of file routines_cartesian.h.

References get_stiffness_tensor().

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get_stiffness_tensor()

template<class Shortcuts >

void Numerics::get_stiffness_tensor	(	const double *	Q,
		double &	c11,
		double &	c22,
		double &	c33,
		double &	c44,
		double &	c55,
		double &	c66,
		double &	c12,
		double &	c13,
		double &	c23
	)

Definition at line 4 of file anisotropic.h.

Referenced by compute_fluctuations_left(), compute_fluctuations_right(), compute_parameters(), compute_tractions(), computeAbsA(), computeSmax(), create_local_basis(), eigenvalues(), get_normals(), get_velocities(), Gram_Schmidt(), hllem(), riemannSolver(), riemannSolver_BC0(), riemannSolver_BCn(), riemannSolver_boundary(), riemannSolver_Nodal(), right_eigenvectors(), right_eigenvectors_inverse(), rotate_into_orthogonal_basis(), and rotate_into_physical_basis().

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get_velocities()

template<class Shortcuts >

void Numerics::get_velocities	(	const double *	Q,
		double &	vx,
		double &	vy,
		double &	vz
	)

Definition at line 19 of file riemannsolver_routines.h.

References get_stiffness_tensor().

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Gram_Schmidt()

void Numerics::Gram_Schmidt	(	double *	y,
		double *	z
	)

Definition at line 28 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by create_local_basis().

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hllem()

template<class Solver , class Shortcuts >

void Numerics::hllem	(	Solver *	solver,
		double *	FL_,
		double *	FR_,
		const double *const	QL_,
		const double *const	QR_,
		const int	direction
	)

Definition at line 342 of file riemannsolver_diffuse.h.

References assertion2, tarch::la::equals(), and get_stiffness_tensor().

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riemannSolver() [1/2]

template<class Shortcuts , int order, int numberOfVariables, int numberOfParameters>

void Numerics::riemannSolver	(	double *	FL,
		double *	FR,
		const double *const	QL,
		const double *const	QR,
		const double	dt,
		const int	direction,
		bool	isBoundaryFace,
		int	faceIndex
	)

Definition at line 66 of file riemannsolver_anisotropic.h.

References assertion3, compute_fluctuations_left(), compute_fluctuations_right(), create_local_basis(), get_stiffness_tensor(), riemannSolver_boundary(), riemannSolver_Nodal(), rotate_into_orthogonal_basis(), and rotate_into_physical_basis().

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riemannSolver() [2/2]

template<class Shortcuts , int basisSize, int numberOfVariables, int numberOfData, int surface = 2>

void Numerics::riemannSolver	(	double *	FL,
		double *	FR,
		const double *const	QL,
		const double *const	QR,
		const double	dt,
		const int	direction,
		bool	isBoundaryFace,
		int	faceIndex
	)

Definition at line 51 of file riemannsolver_isotropic.h.

References assertion3, compute_fluctuations_left(), compute_fluctuations_right(), create_local_basis(), get_stiffness_tensor(), riemannSolver_boundary(), riemannSolver_Nodal(), rotate_into_orthogonal_basis(), and rotate_into_physical_basis().

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riemannSolver_BC0()

void Numerics::riemannSolver_BC0	(	double	v,
		double	sigma,
		double	z,
		double	r,
		double &	v_hat,
		double &	sigma_hat
	)

Definition at line 154 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver_boundary(), and riemannSolver_boundary().

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riemannSolver_BCn()

void Numerics::riemannSolver_BCn	(	double	v,
		double	sigma,
		double	z,
		double	r,
		double &	v_hat,
		double &	sigma_hat
	)

Definition at line 165 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver_boundary(), and riemannSolver_boundary().

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riemannSolver_boundary() [1/2]

void Numerics::riemannSolver_boundary	(	int	faceIndex,
		double	r,
		double	vn,
		double	vm,
		double	vl,
		double	Tn,
		double	Tm,
		double	Tl,
		double	zp,
		double	zs,
		double &	vn_hat,
		double &	vm_hat,
		double &	vl_hat,
		double &	Tn_hat,
		double &	Tm_hat,
		double &	Tl_hat
	)

Definition at line 17 of file riemannsolver_isotropic.h.

References get_stiffness_tensor(), riemannSolver_BC0(), and riemannSolver_BCn().

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riemannSolver_boundary() [2/2]

void Numerics::riemannSolver_boundary	(	int	faceIndex,
		double	r,
		double	vn,
		double	vm,
		double	vl,
		double	Tn,
		double	Tm,
		double	Tl,
		double	zp,
		double	zs[2],
		double &	vn_hat,
		double &	vm_hat,
		double &	vl_hat,
		double &	Tn_hat,
		double &	Tm_hat,
		double &	Tl_hat
	)

Definition at line 32 of file riemannsolver_anisotropic.h.

References riemannSolver_BC0(), and riemannSolver_BCn().

Referenced by riemannSolver().

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riemannSolver_Nodal()

void Numerics::riemannSolver_Nodal	(	double	v_p,
		double	v_m,
		double	sigma_p,
		double	sigma_m,
		double	z_p,
		double	z_m,
		double &	v_hat_p,
		double &	v_hat_m,
		double &	sigma_hat_p,
		double &	sigma_hat_m
	)

Definition at line 97 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver().

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right_eigenvectors()

template<class Shortcuts >

void Numerics::right_eigenvectors	(	const double	Q[],
		const int	direction,
		double	eigenvectors[]
	)

Definition at line 72 of file riemannsolver_diffuse.h.

References assertion2, and get_stiffness_tensor().

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right_eigenvectors_inverse()

template<class Shortcuts >

void Numerics::right_eigenvectors_inverse	(	const double	Q[],
		const int	direction,
		double	eigenvectors[]
	)

Definition at line 139 of file riemannsolver_diffuse.h.

References assertion2, and get_stiffness_tensor().

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rotate_dofs()

template<class Shortcuts >

void Numerics::rotate_dofs	(	double *	Q,
		const int	direction_1
	)

Definition at line 40 of file riemannsolver_diffuse.h.

rotate_dofs_inverse()

template<class Shortcuts >

void Numerics::rotate_dofs_inverse	(	double *	Q,
		const int	direction_1
	)

Definition at line 8 of file riemannsolver_diffuse.h.

rotate_into_orthogonal_basis()

void Numerics::rotate_into_orthogonal_basis	(	double *	n,
		double *	m,
		double *	l,
		double	Tx,
		double	Ty,
		double	Tz,
		double &	Tn,
		double &	Tm,
		double &	Tl
	)

Definition at line 176 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver().

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rotate_into_physical_basis()

void Numerics::rotate_into_physical_basis	(	double *	n,
		double *	m,
		double *	l,
		double	Fn,
		double	Fm,
		double	Fl,
		double &	Fx,
		double &	Fy,
		double &	Fz
	)

Definition at line 184 of file riemannsolver_routines.h.

References get_stiffness_tensor().

Referenced by riemannSolver().

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