计算物理 ›› 1993, Vol. 10 ›› Issue (4): 507-512.

• 论文 • 上一篇    下一篇

λ算法在轴对称情况的改进

彭世谬, 余少志, 高智   

  1. 中国科学院力学研究所, 北京 100080
  • 收稿日期:1992-05-25 修回日期:1993-05-29 出版日期:1993-12-25 发布日期:1993-12-25
  • 基金资助:
    航空基金;国家自然科学基金

A MODIFIED LAMBDA SCHEME FOR AXISYMMETRIC FLOW

Peng Shiliu, Yu Shaozhi, Gao Zhi   

  1. Nanjing Aeronautical Institute
  • Received:1992-05-25 Revised:1993-05-29 Online:1993-12-25 Published:1993-12-25

摘要: 本文给出了一种改进的λ算法。该算法可以用于计算二维流动和轴对称流动。在导出了以广义黎曼变量表示的欧拉方程组后,本文用两步两点迎风格式对方程组离散求解。由于采用了广义黎曼变量表示的方程组,离散求解时充分考虑了变量的信息依赖域,所以算法稳定性好;由于仅用到待算点单侧一点构造格式,所以算法简单,编程容易,同时也节省了计算时间。作为算例,我们对钝体超音绕流进行了广泛计算,结果表明,本算法速度快,稳定性好,对初场不敏感。

关键词: 欧拉方程, 差分方法, 钝体超声速流动

Abstract: In this paper, a modified scheme is developed, which can be used for calculation of axisymmetric fluid flow. A set of Euler equations of generalized Rieman variable is derived and solved by two step upwind scheme. The convergence is good because of the consideration of dependent domain of information. Because of using only one point except the unknown one, this scheme is simple and coding is easy. As a example, this scheme has been used for the inviscid subsonic-supersonic flow around blunt bodies at supersonic speeds, the merits of this scheme is demonstrated by these numerical experiments.

Key words: Euler equations, finite difference method, blunt body