计算物理 ›› 1991, Vol. 8 ›› Issue (4): 337-346.

• 论文 •    下一篇

绕圆柱振荡流动的数值解法

胡旸, 是长春, 陈耀松   

  1. 北京大学, 北京 100083
  • 收稿日期:1991-03-29 出版日期:1991-12-25 发布日期:1991-12-25

NUMERICAL METHOD FOR THE VISCOUS FLOW AROUND A CIRCULAR CYLINDER WITH PERIODIC ONCOMING FLOW FROM INFINITY

Hu Yang, Shi Changchun, Chen Yaosong   

  1. Peking University
  • Received:1991-03-29 Online:1991-12-25 Published:1991-12-25

摘要: 研究了在周期来流作用下圆柱的二维、不可压缩、粘性绕流问题。运用谱方法于流函数,使流场连续依赖于幅角,而只对矢径及时间离散化。具体对kc=4且Re=200的情形计算了流函数和涡量的时空分布。计算表明:与完全离散化N-S方程以及离散涡方法等比较,本方法具有公式简单且大大节省机时的优点。

关键词: N-S方程的数值解, 圆柱绕流, 周期来流, 谱方法

Abstract: Two-dimensional imcompressible viscous flows around a circular cylinder with periodic oncoming flow from infinity are investegated. By means of spectrum method, the stream functions are developed into Fourier series, so the stream functions depend on angle 0 continuousely. Numerical calculations are implemented for stream functions as well as vortices for the case Kc=4 and Re=200. The results manifeste that the method used here has the advantage of simplicity and saving computer time comparing with the method of fully discretiged N-S egs. and discretiged vortices method.

Key words: numerical method for N-S eqs., flow around a circular cylinder, periodic oncoming flow from infinity, spectrum method