计算物理 ›› 1995, Vol. 12 ›› Issue (3): 341-348.

• 论文 • 上一篇    下一篇

二维空气动力学方程组分三片Riemann问题的数值解(Ⅰ)初值分布只含接触间断

杨树礼   

  1. 中国科学院应用数学所, 北京 100080
  • 收稿日期:1993-11-11 修回日期:1995-10-10 出版日期:1995-09-25 发布日期:1995-09-25
  • 基金资助:
    国家基金委803项目;青年基金

NUMERICAL SOLUTIONS OF RIEMANN PROBLEMS IN THREE-PIECES FOR 2-D GAS DYNAMICS SYSTEMS (Ⅰ) ONLY CONTAIN CONTACT DISCONTINUITIES

Yang Shuli   

  1. Institute of APPlied Mathematics, Academia Sinica, Beijing 100080
  • Received:1993-11-11 Revised:1995-10-10 Online:1995-09-25 Published:1995-09-25

摘要: 对二维空气动力学方程组的分三片Riemann问题中只含接触间断的情况进行分类分析,并利用文献[1]所提出的正规三角形网格上Taylor-FVMMmB差分格式对该问题进行数值计算。从数值结果来看,分三片Riemann问题是二维空气动力学方程组Riemann问题中的最简单的初值分布,所形成解的结构也是最基本的。

关键词: 分三片Riemann问题, MmB格式, 接触间断, 空气动力学方程组

Abstract: Riemann problems in three-pieces, which only contains contact discontinuities on initial data, are dassified for 2-D gas dynamics systems, and numerical solutions of the Riemann problems are presented by using Taylor-FVM MInB difference schemes derived in [1].From the numerical results, it is shown that Riemann problem in three-pleas is the simplest cases in Riernann problems for 2-D gas dynamics systems, and the solution structure is basic one.

Key words: Riemann problems in three-pieces, MmB difference schemes, contactdiscontinuities gas, dynamics systems

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