高密度比多介质可压缩流动的PPM方法

计算物理 ›› 2001, Vol. 18 ›› Issue (6): 517-522.

高密度比多介质可压缩流动的PPM方法

马东军, 孙德军, 尹协远

中国科技大学力学和机械工程系, 安徽合肥 230027

收稿日期:2001-01-15 修回日期:2001-04-16 出版日期:2001-11-25 发布日期:2001-11-25
作者简介:马东军(1975-),男,湖北洪湖,博士生,从事计算流体力学和流动稳定性方面的研究.

PIECEWISE PARABOLIC METHOD FOR COMPRESSIBLE FLOWS OF MULTIFLUIDS WITH HIGH DENSITY RATIOS

MA Dong-jun, SUN De-jun, YIN Xie-yuan

Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, P R China

Received:2001-01-15 Revised:2001-04-16 Online:2001-11-25 Published:2001-11-25

摘要/Abstract

摘要： 介绍一种基于流体体积分数模型的界面捕捉方法,数值模拟高密度比及含强激波的多介质可压缩流动.将PPM方法应用到多介质体积分数形式的Euler方程组,用双波近似求解一般刚性气体状态方程Riemann问题,可方便处理界面强剪切的滑移线问题,并给出了水下激波和气泡相互作用以及多相Richtmyer Meshkov不稳定性的计算结果.

关键词: 多介质可压缩流动, 界面捕捉方法, 高阶Godunov格式

Abstract: A high order Piecewise Parabolic Method (PPM) is applied to simulate compressible multifluids flows with a stiffened gas equation of state in multi dimensions, which allows high density ratios and strong shock waves. Several test problems are presented for one and two dimensions.

Key words: compressible multifluid flows, interface capturing method, high order Godunov scheme

中图分类号:

马东军, 孙德军, 尹协远. 高密度比多介质可压缩流动的PPM方法[J]. 计算物理, 2001, 18(6): 517-522.

MA Dong-jun, SUN De-jun, YIN Xie-yuan. PIECEWISE PARABOLIC METHOD FOR COMPRESSIBLE FLOWS OF MULTIFLUIDS WITH HIGH DENSITY RATIOS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(6): 517-522.

[1]	郑建国, 马东军, 孙德军, 尹协远. Van der Waals状态方程可压缩多流体流动的PPM目的[J]. 计算物理, 2007, 24(3): 287-294.
[2]	马东军, 孙德军, 尹协远. 一维多介质可压缩流动数值方法[J]. 计算物理, 2003, 20(2): 183-188.