计算物理 ›› 1991, Vol. 8 ›› Issue (1): 1-10.

• 论文 •    下一篇

求解不可压缩Navier-Stokes方程的预处理方法

赵金保, 孙建安, 张吉利, 张万顺   

  1. 西北师范大学物理系, 西安 730070
  • 收稿日期:1990-08-27 修回日期:1991-01-21 出版日期:1991-03-25 发布日期:1991-03-25
  • 基金资助:
    国家自然科学基金,编号8188403

PRECONDITIONAL METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Zhao Jinbao, Sun Jianan, Zhang Jili, Zhang Wanshun   

  1. Department of Physics Northwestern Normal University 730070
  • Received:1990-08-27 Revised:1991-01-21 Online:1991-03-25 Published:1991-03-25

摘要: 本文探讨了一种新的求解不可压缩N-S方程的人工可压缩方法,即由E.Turkel提出的预处理方法。本文依据这种预处理方法,采用交错网格和对角化隐式近似因子分解格式就驱动方腔模型进行了数值模拟,并与Chorin方法[2]进行了比较。数值结果表明:这样的预处理可适当放宽时间步长和Reynolds数的限制,并加快数值解的收敛。

关键词: 人工可压缩, 预处理, 对角化隐式近似因子分解格式

Abstract: A new artificial compressibility method is discussed. It is a preconditional method presented by E. Turkel. We calculated the cavity flow model by explicit scheme and diagonalized implicit approximate factorization splitting scheme and compared with Chorin's artificial compressibility method. Final results show the preconditional method can relax restrict for the time step and Reynolds number and accelerated convergence.

Key words: artificial compressibilty method, preconditional method, diagonalized implicit ap-proximate factorization splitting scheme