计算物理 ›› 1987, Vol. 4 ›› Issue (3): 245-252.

• 论文 • 上一篇    下一篇

平面定常超音速绕流问题的新的数值解法

杜珣   

  1. 北京大学力学系
  • 收稿日期:1987-01-02 出版日期:1987-09-25 发布日期:1987-09-25

A NEW COMPUTATIONAL METHOD FOR PLANE STEADY SUPERSONIC FLOW WITH SHOCK WAVE

Du Xun   

  1. Department of Mechanics, Peking university
  • Received:1987-01-02 Online:1987-09-25 Published:1987-09-25

摘要: 用特征线法解平面定常超音速绕流问题虽然有效,但当激波很弱、几乎与特征线平行时则很难处理。用有限差分法计算此问题也比较复杂。本文把作者在文章中[1]提出的新的数值解法,发展并应用到平面定常超音速绕流的问题。仍然采用了许为厚教授提出的新拉格朗日变量[2],这使边界条件的提法大为简化。此新的数值解法按变量指标之和,一排排地往下计算,方法简单,可以处理各种形状物体的超音速绕流。本文对向上弯曲的抛物形固壁绕流向题的实例进行了具体计算。算出了激波的形状。当激波没有形成以前,相应的普朗特一迈耶气流是有准确分析解的,把数值解与准确解进行了l比较结果是满意的。

Abstract: A new computational method for plane steady supersonic flow with shock wave is developed. The differential equations and boundary conditions in new lagrangdan variables are formulated. We calculated a specific case that the equation of solid surface is a parabola y=(1)/(2)x2.In this example, theshape of the shock wave is calculated. Before the formation of the shock wave,the flow has an exact solution.Our computational results coin-side well with the exact solution.