流体力学方程组的总熵增量小的守恒型差分格式

CONSERVATION DIFFERENCE SCHEMES WITH SMALL TOTAL THERMODYNAMIC ENTROPY INCREMENT FOR GAS DYNAMIC EQUATIONS DYNAMIC EQUATIONS

1.引言 近年来,国外许多学者对求解双曲守恒律组的高分辨率、高精度差分格式进行了深入的研究。例如MUSCL方法、TVD格式、PPM方法、各种限流的方法以及ENO格式等等。将这些方法应用于流体力学方程组,其数值实践的结果表明,在消除波后振荡、提高激波间断分辨率、提高计算精度等方面有明显的效果。

In this paper we design conservation difference schemes satisfying thermodynamic en- tropy increment condition for one-dimensional Lagrangiou gas dynamic equations. These schemes have small total thermodynamic entropy increment in some sence. Numerical experiments show that they have higher resolution and accuracy