#include <precond.h>

Public Member Functions
	Precond ()

REAL	ComputeTheta (REAL gam, REAL c, REAL q2) const

Static Public Member Functions
static void	Prim2Cons (REAL wvec[], REAL wpvec[], REAL H, REAL theta, REAL rhoT, REAL hp, REAL hT, REAL pmat[5][5])

static void	Cons2Prim (REAL wvec[], REAL wpvec[], REAL H, REAL q2, REAL theta, REAL rhoT, REAL hp, REAL hT, REAL pmat[5][5])

static void	Eigenvalues (REAL wvec[], REAL wpvec[], REAL V, REAL theta, REAL rhop, REAL rhoT, REAL hp, REAL hT, REAL lam[5][5])

static void	LeftEigenvec (REAL wvec[], REAL wpvec[], REAL nvec[], REAL V, REAL theta, REAL rhop, REAL rhoT, REAL hp, REAL hT, REAL evl[5][5])

static void	RightEigenvec (REAL wvec[], REAL wpvec[], REAL nvec[], REAL V, REAL H, REAL theta, REAL rhop, REAL rhoT, REAL hp, REAL hT, REAL evr[5][5])

static void	MatprodTp1_P1 (REAL wvec[], REAL wpvec[], REAL nvec[], REAL V, REAL H, REAL theta, REAL rhop, REAL rhoT, REAL hp, REAL hT, REAL q2, REAL mat[5][5])

static void	MatrixTimesInverse (REAL wpvec[], REAL q2, REAL amat[5][5], REAL bmat[5][5], REAL cmat[5][5])

static void	MatVecProd5 (REAL a[5][5], REAL v[], REAL c[])

Public Attributes
bool	switchedOn

REAL	preCoeff

REAL	machRef2

Detailed Description

Encompasses variables and functions related to low Mach-number preconditioning.

Constructor & Destructor Documentation

Precond::Precond ( )

inline

Initializes data of low Mach-number preconditioning.

Member Function Documentation

REAL Precond::ComputeTheta	(	REAL	gam,
		REAL	c,
		REAL	q2
	)		const

inline

Computes the preconditioning parameter.

Parameters

gam	ratio of specific heats
c	speed of sound
q2	total velocity squared

static void Precond::Cons2Prim	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	H,
		REAL	q2,
		REAL	theta,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	pmat[5][5]
	)

inlinestatic

Computes transformation matrix from conservative to primitive variables P^-1 (equivalent to the inverse of the preconditioning matrix G^-1).

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
H	total enthalpy
q2	total velocity squared
theta	preconditioning parameter
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
pmat	inverse of matrix P

static void Precond::Eigenvalues	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	V,
		REAL	theta,
		REAL	rhop,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	lam[5][5]
	)

inlinestatic

Computes matrix of eigenvalues of the preconditioned system.

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
V	contravariant velocity
theta	preconditioning parameter
rhop	derivative of density wrp. to pressure
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
lam	matrix of eigenvalues

static void Precond::LeftEigenvec	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	nvec[],
		REAL	V,
		REAL	theta,
		REAL	rhop,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	evl[5][5]
	)

inlinestatic

Computes matrix of left eigenvectors of G^-1*A_c,p (i.e., (T_p)^-1).

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
nvec	components of the unit normal vector
V	contravariant velocity
theta	preconditioning parameter
rhop	derivative of density wrp. to pressure
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
evl	matrix of left eigenvectors (T_p)^-1

static void Precond::MatprodTp1_P1	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	nvec[],
		REAL	V,
		REAL	H,
		REAL	theta,
		REAL	rhop,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	q2,
		REAL	mat[5][5]
	)

inlinestatic

Computes matrix product (T_p^-1) * (P^-1).

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
nvec	components of the unit normal vector
V	contravariant velocity
H	total enthalpy
theta	preconditioning parameter
rhop	derivative of density wrp. to pressure
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
q2	total velocity squared
mat	resulting matrix

static void Precond::MatrixTimesInverse	(	REAL	wpvec[],
		REAL	q2,
		REAL	amat[5][5],
		REAL	bmat[5][5],
		REAL	cmat[5][5]
	)

inlinestatic

Computes matrix times the inverse of a similar matrix, where both matrices have the structure of the preconditioning (or the transformation) matrix. Thus, products like P*G^-1 or G*P^-1 can be evaluated efficiently.

Parameters

wpvec	vector of primitive variables
q2	total velocity squared
amat	matrix A
bmat	matrix B
cmat	resulting matrix C, i.e., C=A*B

static void Precond::MatVecProd5	(	REAL	a[5][5],
		REAL	v[],
		REAL	c[]
	)

inlinestatic

Computes matrix times vector (n=5).

Parameters

a	5x5 matrix A
v	vector v (length 5)
c	resulting vector c, i.e., c=A*v

static void Precond::Prim2Cons	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	H,
		REAL	theta,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	pmat[5][5]
	)

inlinestatic

Computes transformation matrix from primitive to conservative variables P (equivalent to the preconditioning matrix G).

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
H	total enthalpy
theta	preconditioning parameter
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
pmat	matrix P

static void Precond::RightEigenvec	(	REAL	wvec[],
		REAL	wpvec[],
		REAL	nvec[],
		REAL	V,
		REAL	H,
		REAL	theta,
		REAL	rhop,
		REAL	rhoT,
		REAL	hp,
		REAL	hT,
		REAL	evr[5][5]
	)

inlinestatic

Computes matrix of right eigenvectors of G^-1*A_c,p multiplied by the preconditioning matrix G (i.e., G*T_p).

Parameters

wvec	vector of conservative variables
wpvec	vector of primitive variables
nvec	components of the unit normal vector
V	contravariant velocity
H	total enthalpy
theta	preconditioning parameter
rhop	derivative of density wrp. to pressure
rhoT	derivative of density wrp. to temperature
hp	derivative of enthalpy wrp. to pressure
hT	derivative of enthalpy wrp. to temperature
evr	matrix of right eigenvectors multiplied by G (G*T_p)

Member Data Documentation

REAL Precond::machRef2

reference Mach number squared

REAL Precond::preCoeff

parameter K

bool Precond::switchedOn

on/off switch (true, false)

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

precond.h

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation