limiters.h File Reference

Definitions for limiter functions used in MUSCL-type reconstruction schemes. More...

Go to the source code of this file.

Macros
#define	_LIM_GM_   "gmm"
#define	_LIM_MM_   "minmod"
#define	_LIM_VANLEER_   "vanleer"
#define	_LIM_SUPERBEE_   "superbee"

Functions
double	LimiterGeneralizedMinMod (double)
double	LimiterMinMod (double)
double	LimiterVanLeer (double)
double	LimiterSuperBee (double)

Detailed Description

Definitions for limiter functions used in MUSCL-type reconstruction schemes.

Author

Debojyoti Ghosh

Definition in file limiters.h.

Macro Definition Documentation

_LIM_GM_

#define _LIM_GM_   "gmm"

Generalized MinMod Limiter: LimiterGeneralizedMinMod()

Definition at line 10 of file limiters.h.

_LIM_MM_

#define _LIM_MM_   "minmod"

MinMod Limiter: LimiterMinMod()

Definition at line 12 of file limiters.h.

_LIM_VANLEER_

#define _LIM_VANLEER_   "vanleer"

van Leer Limiter: LimiterVanLeer()

Definition at line 14 of file limiters.h.

_LIM_SUPERBEE_

#define _LIM_SUPERBEE_   "superbee"

Superbee Limiter: LimiterSuperBee()

Definition at line 16 of file limiters.h.

Function Documentation

LimiterGeneralizedMinMod()

double LimiterGeneralizedMinMod

(

double

r

)

Generalized MinMod Limiter

Generalized MinMod limiter

Reference:

• Van Leer, B. (1979), "Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method", J. Comput. Phys., 32: 101–136, doi:10.1016/0021-9991(79)90145-1

Parameters

r	Input slope ratio

Definition at line 16 of file LimiterGeneralizedMinMod.c.

{
  double theta = 1.0;
  double retval = max(0.0,min3(theta*r,0.5*(1.0+r),theta));
  return retval;
}

LimiterMinMod()

double LimiterMinMod

(

double

r

)

MinMod Limiter

MinMod limiter

Reference:

• Roe, P.L. (1986), "Characteristic-based schemes for the Euler equations", Annu. Rev. Fluid Mech., 18: 337–365, doi:10.1146/annurev.fl.18.010186.002005

Parameters

r	Input slope ratio

Definition at line 16 of file LimiterMinMod.c.

{
  double retval = max(0.0,min(1.0,r));
  return retval;
}

LimiterVanLeer()

double LimiterVanLeer

(

double

r

)

van Leer Limiter

van Leer limiter

Reference:

• Van Leer, B. (1974), "Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme", J. Comput. Phys., 14 (4): 361–370, doi:10.1016/0021-9991(74)90019-9

Parameters

r	Input slope ratio

Definition at line 17 of file LimiterVanLeer.c.

{
  double retval = (r+absolute(r)) / (1.0+absolute(r));
  return retval;
}

LimiterSuperBee()

double LimiterSuperBee

(

double

r

)

Superbee Limiter

Superbee limiter

Reference:

• Roe, P.L. (1986), "Characteristic-based schemes for the Euler equations", Annu. Rev. Fluid Mech., 18: 337–365, doi:10.1146/annurev.fl.18.010186.002005

Parameters

r	Input slope ratio

Definition at line 16 of file LimiterSuperBee.c.

{
  double retval = max3(0, min(2*r,1), min(r,2));
  return retval;
}