λ算法在轴对称情况的改进  

A MODIFIED LAMBDA SCHEME FOR AXISYMMETRIC FLOW

作　　者：彭世谬 余少志[1] 高智 

机构地区：[1]中国科学院力学研究所,北京100080 [2]南京航空学院

出　　处：《计算物理》1993年第4期507-512,共6页Chinese Journal of Computational Physics

基　　金：航空基金;国家自然科学基金

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。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.

关 键 词：欧拉方程 钝体 超音速流动 差分法 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]