航空学报 > 1991, Vol. 12 Issue (7): 331-336

圆柱突然起动的快速涡解法

陶锋1, 尹协远2, 童秉纲2   

  1. 1. 中国科学院力学研究所 ;2. 中国科学技术大学
  • 收稿日期:1990-04-02 修回日期:1990-11-09 出版日期:1991-07-25 发布日期:1991-07-25

NUMERICAL STUDY OF UNSTEADY FLOWS AROUND AN IMPULSIVELY STARTED FROM REST CIRCULAR CYLINDER BY FAST VORTEX METHOD

Tao Feng1, Yin Xieyuan2, Tong Binggang2   

  1. 1. Institute of Mechanics of Chinese Academy of Science;2. University of Science, Technology of China
  • Received:1990-04-02 Revised:1990-11-09 Online:1991-07-25 Published:1991-07-25

摘要: 文中将Chorin的涡方法、格子涡(VIC)方法和快速Fourier变换(FFT)相结合,发展了一套快速有效的求解高Re数下非定常N-S方程的算法(快速涡方法)。通过对二维圆柱突然起动问题的数值计算,得到流动分离及其演化过程(包括二次涡及二次涡对的生成);此外还得到回流区对称轴线上速度分布。这些结果与实验数据及其它数值解相比,是令人满意的。该程序对其它高Re数非定常流动问题也是适用的。

关键词: 非定常流, 圆柱体, 数值计算, 数值流动显示

Abstract: An effective numerical method (fast vortex method) to solve unsteady N-S equations at high Reynolds number, combining Chorin's vortex scheme with the Vortex-in-Cell (VIC) method and the Fast Fourier Transforms (FFT), is presented in this paper. The scheme has successfully calculated the early stage flows of two dimensional circular cylinder which impulsively started from rest. The process of separation and evolution with time of the flow, the generation of the secondary vortex and the pair of the secondary vortex, and the radial velocity on the symmetry axis behind the cylinder, etc., are studied in detail. The comparison with the careful experimental data and other accurate numerical results is satisfactory. The program is also available for other problems of unsteady flow at high Reynolds number.

Key words: unsteady flow, cylindrical bodies, numerical calculation, numerical flow visualization