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

被引:7
作者
Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Mianyang 621900, China [1 ]
机构
[1] Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics
来源
Chin. Phys. | 2006年 / 1卷 / 22-34期
关键词
General equation of state; Multi-fluid flows; Riemann problem; Roe scheme;
D O I
10.1088/1009-1963/15/1/005
中图分类号
学科分类号
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.© 2006 Chin. Phys. Soc. and IOP Publishing Ltd.
引用
收藏
页码:22 / 34
页数:12
相关论文
共 22 条
  • [1] Miller G.H., Puckett E.G., J. Comput. Phys., 128, 1, (1996)
  • [2] Menikoff R., Plohr B.J., Rev. Mod. Phys., 61, 1, (1989)
  • [3] Balsara D.S., J. Comput. Phys., 114, 2, (1994)
  • [4] Glaister P., J. Comput. Phys., 74, 2, (1988)
  • [5] Quirk J.J., Int. Numer. Methods. Fluids, 18, 6, (1994)
  • [6] Schulz-Rinne C.W., Collins J.P., Glaz H.M., SIAM J. Sci. Comput., 14, 6, (1993)
  • [7] Karni S., SIAM J. Sci. Comput., 17, 5, (1996)
  • [8] Guo W.B., Wang N.C., Shi B.C., Guo Z.L., Chin. Phys., 12, (2003)
  • [9] Bai J.S., Li P., Zhang Z.J., Hua J.S., Tan H., Chin. Phys., 13, (2004)
  • [10] Xu Y.S., Wu F.M., Chen Y.Y., Xu X.Z., Chin. Phys., 12, (2003)