计算物理 ›› 2004, Vol. 21 ›› Issue (6): 531-537.

• 研究论文 • 上一篇    下一篇

应用多介质PPM方法计算斜激波与物质交界面的相互作用

王晨星1, 唐维军2, 程军波2   

  1. 1. 中国工程物理研究院北京研究生部, 北京 2101信箱, 北京 100088;
    2. 北京应用物理与计算数学研究所, 北京 8009 信箱, 北京 100088
  • 收稿日期:2003-09-27 修回日期:2004-04-07 出版日期:2004-11-25 发布日期:2004-11-25
  • 作者简介:王晨星(1979-),女,天津,硕士,从事计算流体力学和流动稳定性方面的研究.
  • 基金资助:
    国家自然科学基金重大项目(19932010);国家自然科学基金重点项目(10135010);国家自然科学基金(10072028);中物院预研基金(20030657);计算物理实验室试点基金资助项目

Numerical Computations of the Refraction of a Shock Wave at Interface by Multi-component PPM Algorithm

WANG Chen-xing1, TANG Wei-jun2, CHENG Jun-bo2   

  1. 1. Graduate School of CAEP, Beijing 100088, China;
    2. Institute of Applied Physics and Computational Mathmatics, Beijing 100088, China
  • Received:2003-09-27 Revised:2004-04-07 Online:2004-11-25 Published:2004-11-25

摘要: 利用多介质PPM方法研究斜激波与物质交界面的相互作用.采用与体积分数耦合的Euler方程组作为计算模型,用双波近似来求解一般刚性气体状态方程Riemann问题.通过体积分数的计算来获得界面的位置,在整个流场采用统一的高阶PPM格式进行计算.文中对斜激波与不同物质界面相互作用进行了数值模拟,并给出了交界面上由于斜压效应产生的涡列的演化过程,特别是强斜激波与不同物质界面的相互作用的情况.

关键词: 多介质PPM方法, 斜激波, 涡列演化, 斜压效应, 界面

Abstract: It presents numerical computation results of the refraction of a plane shock wave at the different interfaces. The unsteady, two-dimensional, compressible, Euler equations are solved numerically assuming stiffened gas equation of state. The numerical method used is PPM (Piecewise Parabolic Method) method for multi-component. On basis of solving the Riemann problem using two-shock approximation the interface can be determined by computing the volume-fraction in terms of the high-order PPM method in the whole computational field. This method is also used to compute some case of the inter-action when the shock wave meets the interfaces of the different fluids. It also gives the evolvement of interfaces due to baroclinic effects on the interface, especially in the cases of strong shock striking at the interfaces.

Key words: multi-component PPM method, inclined shock, evolution of the vortex, baroclinic effects, interface

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