Correction of conservative Euler solvers for gas mixtures

被引:75
作者
Jenny, P [1 ]
Muller, B [1 ]
Thomann, H [1 ]
机构
[1] ETH ZURICH,INST FLUIDDYNAM,CH-8092 ZURICH,SWITZERLAND
关键词
D O I
10.1006/jcph.1996.5625
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Conservative Euler solvers for gas mixtures produce numerical errors near contact discontinuities, if the temperature and the ratio of specific heats are not constant there. For mixtures of perfect gases, a simple correction of the total energy per unit volume is proposed to avoid these errors. This is done in a physical way and only the total energy looses some of its conservativity. Numerical simulations of contact discontinuity convection, a shock tube problem, and shock-interface interactions in 1D and 2D yield much more accurate solutions, if the correction is applied. The straightforward extension to 3D is outlined. (C) 1997 Academic Press.
引用
收藏
页码:91 / 107
页数:17
相关论文
共 18 条
[11]   A CONTRIBUTION TO THE NUMERICAL PREDICTION OF UNSTEADY FLOWS [J].
PANDOLFI, M .
AIAA JOURNAL, 1984, 22 (05) :602-610
[12]  
Park C, 1989, Nonequilibrium hypersonic aerothermodynamics
[13]   On the dynamics of a shock-bubble interaction [J].
Quirk, JJ ;
Karni, S .
JOURNAL OF FLUID MECHANICS, 1996, 318 :129-163
[14]   THE BEHAVIOR OF FLUX DIFFERENCE SPLITTING SCHEMES NEAR SLOWLY MOVING SHOCK-WAVES [J].
ROBERTS, TW .
JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 90 (01) :141-160
[15]   Approximate Riemann solvers, parameter vectors, and difference schemes (Reprinted from the Journal of Computational Physics, vol 43, pg 357-372, 1981) [J].
Roe, PL .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 135 (02) :250-258
[16]  
SHAPIRO AH, 1953, DYNAMICS HYDRODYNAMI, V1
[17]  
TORO EF, 1994, MMU9401
[18]   CHARACTERISTIC-BASED ALGORITHMS FOR FLOWS IN THERMOCHEMICAL NONEQUILIBRIUM [J].
WALTERS, RW ;
CINNELLA, P ;
SLACK, DC ;
HALT, D .
AIAA JOURNAL, 1992, 30 (05) :1304-1313