riemann_solver.h 文件参考

This file is the header file of several Riemann solvers and GRP solvers. 更多...

#include "../include/var_struc.h"

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宏定义
#define	Riemann_solver_exact_single   Riemann_solver_exact_Ben
	Which solver is chosen as the exact Riemann solver for single-component flow. 更多...

函数
double	Riemann_solver_exact (double *U_star, double *P_star, const double gammaL, const double gammaR, const double u_L, const double u_R, const double p_L, const double p_R, const double c_L, const double c_R, _Bool *CRW, const double eps, const double tol, int N)
double	Riemann_solver_starPU (double *U_star, double *P_star, const double GammaL, const double GammaR, const double UL, const double UR, const double PL, const double PR, const double CL, const double CR, _Bool *CRW, const double eps, const double TOLPRE, const int NRITER)
	EXACT RIEMANN SOLVER FOR Two-Component γ-Law Gas 更多...
double	Riemann_solver_exact_Ben (double *U_star, double *P_star, const double gamma, const double u_L, const double u_R, const double p_L, const double p_R, const double c_L, const double c_R, _Bool *CRW, const double eps, const double tol, const int N)
double	Riemann_solver_exact_Toro (double *U_star, double *P_star, const double gamma, const double U_l, const double U_r, const double P_l, const double P_r, const double c_l, const double c_r, _Bool *CRW, const double eps, const double tol, const int N)
void	linear_GRP_solver_LAG (double *D, double *U, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double eps, const double atc)
void	linear_GRP_solver_Edir (double *D, double *U, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double eps, const double atc)
void	linear_GRP_solver_Edir_Q1D (double *wave_speed, double *D, double *U, double *U_star, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double eps, const double atc)
void	linear_GRP_solver_Edir_G2D (double *wave_speed, double *D, double *U, double *U_star, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double eps, const double atc)
void	AcousticRLagTangent (double *dire, double *U_star, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double r, const double M, const double eps)
	A GRP solver for unsteady compressible inviscid two-component flow in tangential case. Lagrangian version (moving mesh) for cylindrical case. 更多...
void	GRPsolverRLag (double *wave_speed, double *dire, double *U_star, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double r, const double M, const double eps, const double atc)
	A GRP solver for unsteady compressible inviscid two-component flow. Lagrangian version (moving mesh) cylindrical case. 更多...
void	HLL_2D_solver (double *F, double *lambda_max, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R)
void	Roe_solver (double *F, double *lambda_max, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double delta)
void	Roe_2D_solver (double *F, double *lambda_max, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double delta)
void	Roe_HLL_solver (double *V_mk, double *F, double *lambda_max, const struct i_f_var *ifv_L, const struct i_f_var *ifv_R, const double delta)

详细描述

This file is the header file of several Riemann solvers and GRP solvers.

This header file declares functions in the folder 'Riemann_solver'.

在文件 riemann_solver.h 中定义.

宏定义说明

Riemann_solver_exact_single

#define Riemann_solver_exact_single   Riemann_solver_exact_Ben

Which solver is chosen as the exact Riemann solver for single-component flow.

在文件 riemann_solver.h 第 17 行定义.

函数说明

AcousticRLagTangent()

void AcousticRLagTangent	(	double *	dire,
		double *	U_star,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	r,
		const double	M,
		const double	eps
	)

A GRP solver for unsteady compressible inviscid two-component flow in tangential case. Lagrangian version (moving mesh) for cylindrical case.

参数

[out]	dire	the temporal derivative of fluid variables in the Star Region. [*, u, p]_t
[out]	U_star	the Riemann solutions in the Star Region. [*, u_star, p_star]
[in]	ifv_L	Left States (rho_L, u_L, p_L, d_u_L, d_p_L, gammaL).
[in]	ifv_R	Right States (rho_R, u_R, p_R, d_u_R, d_p_R, gammaR). d_u, d_p: spatial derivatives in coordinate r. gamma: the constant of the perfect gas.
[in]	r	the r-coordinate value.
[in]	M	Spatial dimension number for radially symmetric flow. M=1: planar flow. M=2: cylindrical flow. (√) M=3: spherical flow.
[in]	eps	the largest value could be seen as zero.

在文件 linear_grp_solver_radial_LAG.c 第 30 行定义.

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GRPsolverRLag()

void GRPsolverRLag	(	double *	wave_speed,
		double *	dire,
		double *	U_star,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	r,
		const double	M,
		const double	eps,
		const double	atc
	)

A GRP solver for unsteady compressible inviscid two-component flow. Lagrangian version (moving mesh) cylindrical case.

参数

[out]	wave_speed	the velocity of left and right waves.
[out]	dire	the temporal derivative of fluid variables in the Star Region. [rho_L, u, p, rho_R]_t
[out]	U_star	the Riemann solutions in the Star Region. [rho_star_L, u_star, p_star, rho_star_R]
[in]	ifv_L	Left States (rho_L, u_L, p_L, d_rho_L, d_u_L, d_p_L, gammaL).
[in]	ifv_R	Right States (rho_R, u_R, p_R, d_rho_R, d_u_R, d_p_R, gammaR). d_rho, d_u, d_p: r-spatial derivatives. gamma: the constant of the perfect gas.
[in]	r	the r-coordinate value.
[in]	M	Spatial dimension number for radially symmetric flow. M=1: planar flow. M=2: cylindrical flow. (√) M=3: spherical flow.
[in]	eps	the largest value could be seen as zero.
[in]	atc	Parameter that determines the solver type. INFINITY: acoustic approximation eps: GRP solver(nonlinear + acoustic case) -0.0: GRP solver(only nonlinear case)

参见

Theory is found in Reference [1].
[1] J. Li, T. Liu & Z. Sun, Implementation of the GRP scheme for computing radially symmetric compressible fluid flows. Journal of Computational Physics, 228.16: 5867–5887, 2009

在文件 linear_grp_solver_radial_LAG.c 第 92 行定义.

函数调用图:

这是这个函数的调用关系图:

HLL_2D_solver()

void HLL_2D_solver	(	double *	F,
		double *	lambda_max,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R
	)

linear_GRP_solver_Edir()

void linear_GRP_solver_Edir	(	double *	D,
		double *	U,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	eps,
		const double	atc
	)

linear_GRP_solver_Edir_G2D()

void linear_GRP_solver_Edir_G2D	(	double *	wave_speed,
		double *	D,
		double *	U,
		double *	U_star,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	eps,
		const double	atc
	)

linear_GRP_solver_Edir_Q1D()

void linear_GRP_solver_Edir_Q1D	(	double *	wave_speed,
		double *	D,
		double *	U,
		double *	U_star,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	eps,
		const double	atc
	)

linear_GRP_solver_LAG()

void linear_GRP_solver_LAG	(	double *	D,
		double *	U,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	eps,
		const double	atc
	)

Riemann_solver_exact()

double Riemann_solver_exact	(	double *	U_star,
		double *	P_star,
		const double	gammaL,
		const double	gammaR,
		const double	u_L,
		const double	u_R,
		const double	p_L,
		const double	p_R,
		const double	c_L,
		const double	c_R,
		_Bool *	CRW,
		const double	eps,
		const double	tol,
		int	N
	)

Riemann_solver_exact_Ben()

double Riemann_solver_exact_Ben	(	double *	U_star,
		double *	P_star,
		const double	gamma,
		const double	u_L,
		const double	u_R,
		const double	p_L,
		const double	p_R,
		const double	c_L,
		const double	c_R,
		_Bool *	CRW,
		const double	eps,
		const double	tol,
		const int	N
	)

Riemann_solver_exact_Toro()

double Riemann_solver_exact_Toro	(	double *	U_star,
		double *	P_star,
		const double	gamma,
		const double	U_l,
		const double	U_r,
		const double	P_l,
		const double	P_r,
		const double	c_l,
		const double	c_r,
		_Bool *	CRW,
		const double	eps,
		const double	tol,
		const int	N
	)

Riemann_solver_starPU()

double Riemann_solver_starPU	(	double *	U_star,
		double *	P_star,
		const double	GammaL,
		const double	GammaR,
		const double	UL,
		const double	UR,
		const double	PL,
		const double	PR,
		const double	CL,
		const double	CR,
		_Bool *	CRW,
		const double	eps,
		const double	TOLPRE,
		const int	NRITER
	)

EXACT RIEMANN SOLVER FOR Two-Component γ-Law Gas

The purpose of this function is to compute the Riemann solution for pressure and velocity in the Star Region, for the time dependent one dimensional Euler equations for two-component γ-law gas.

参数

[out]	U_star,P_star	Velocity/Pressure in star region.
[in]	UL,PL,CL	Initial Velocity/Pressure/Sound_speed on left state.
[in]	UR,PR,CR	Initial Velocity/Pressure/Sound_speed on right state.
[in]	GammaL,GammaR	Ratio of specific heats.
[out]	CRW	Centred Rarefaction Wave (CRW) Indicator of left and right waves. true: CRW false: Shock wave
[in]	eps	The largest value can be seen as zero.
[in]	TOLPRE	Condition value of 'gap' at the end of the iteration.
[in]	NRITER	Maximum iteration step (Recommended Value: 100).

返回

change: Relative pressure change after the last iteration.

作者

E. F. Toro

日期

February 1st 1999

参见

Theory is found in Chapter 4 of Reference [1].
[1] E. F. Toro, "Riemann Solvers and Numerical Methods for Fluid Dynamics". Springer-Verlag, Second Edition, 1999

版权所有

This program is part of NUMERICA ——
A Library of Source Codes for Teaching, Research and Applications, by E. F. Toro
Published by NUMERITEK LTD

在文件 riemann_solver_starPU.c 第 115 行定义.

函数调用图:

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Roe_2D_solver()

void Roe_2D_solver	(	double *	F,
		double *	lambda_max,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	delta
	)

Roe_HLL_solver()

void Roe_HLL_solver	(	double *	V_mk,
		double *	F,
		double *	lambda_max,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	delta
	)

Roe_solver()

void Roe_solver	(	double *	F,
		double *	lambda_max,
		const struct i_f_var *	ifv_L,
		const struct i_f_var *	ifv_R,
		const double	delta
	)