中国物理B ›› 2006, Vol. 15 ›› Issue (1): 22-34.doi: 10.1088/1009-1963/15/1/005

• GENERAL • 上一篇    下一篇

Numerical method of the Riemann problem for two-dimensional multi-fluid flows with general equation of state

柏劲松, 张展冀, 李平, 钟敏   

  1. Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Mianyang 621900, China
  • 修回日期:2005-10-08 出版日期:2006-01-20 发布日期:2006-01-20
  • 基金资助:
    Project supported by the Foundation of China Academy of Engineering Physics (Grant No 20040650 and2003-421050501-1-05).

Numerical method of the Riemann problem for two-dimensional multi-fluid flows with general equation of state

Bai Jing-Song (柏劲松), Zhang Zhan-Ji (张展冀), Li Ping (李平), Zhong Min (钟敏)   

  1. Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Mianyang 621900, China
  • Revised:2005-10-08 Online:2006-01-20 Published:2006-01-20
  • Supported by:
    Project supported by the Foundation of China Academy of Engineering Physics (Grant No 20040650 and2003-421050501-1-05).

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摘要： Based on the classical Roe method, we develop an interface capture method according to the general equation of state, and extend the single-fluid Roe method to the two-dimensional (2D) multi-fluid flows, as well as construct the continuous Roe matrix for the whole flow field. The interface capture equations and fluid dynamic conservative equations are coupled together and solved by using any high-resolution schemes that usually suit for the single-fluid flows. Some numerical examples are given to illustrate the solution of 1D and 2D multi-fluid Riemann problems.

Abstract: Based on the classical Roe method, we develop an interface capture method according to the general equation of state, and extend the single-fluid Roe method to the two-dimensional (2D) multi-fluid flows, as well as construct the continuous Roe matrix for the whole flow field. The interface capture equations and fluid dynamic conservative equations are coupled together and solved by using any high-resolution schemes that usually suit for the single-fluid flows. Some numerical examples are given to illustrate the solution of 1D and 2D multi-fluid Riemann problems.

Key words: Riemann problem, multi-fluid flows, Roe scheme, general equation of state

中图分类号:  (Mathematical formulations)

  • 47.10.A-
47.55.Ca (Gas/liquid flows) 47.40.Nm (Shock wave interactions and shock effects) 51.30.+i (Thermodynamic properties, equations of state) 02.30.Jr (Partial differential equations)