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.
Revised: 08 October 2005
Accepted manuscript online:
Fund: Project supported by the Foundation of China Academy of Engineering Physics (Grant No 20040650 and2003-421050501-1-05).
Cite this article:
Bai Jing-Song (柏劲松), Zhang Zhan-Ji (张展冀), Li Ping (李平), Zhong Min (钟敏) Numerical method of the Riemann problem for two-dimensional multi-fluid flows with general equation of state 2006 Chinese Physics 15 22
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