二维翼型绕流的无网格差分解法

上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (1): 26-31.

二维翼型绕流的无网格差分解法

叶志强，刘高联，陈波

上海大学上海市应用数学和力学研究所，上海 200072

收稿日期:2007-06-26 出版日期:2009-02-21 发布日期:2009-02-21
作者简介:刘高联(1932～),男,中国科学院院士，教授,博士生导师,研究方向为流体力学.
基金资助:
上海市重点学科建设资助项目(Y0103)

Mesh Free Difference Method Applied to Flows around 2-D Airfoil

Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2007-06-26 Online:2009-02-21 Published:2009-02-21

摘要/Abstract

摘要：

根据作者提出的基于全方向导数的无网格方法，运用方向全导数公式构造样点的所有偏导数，并用该公式对第二类边界条件进行离散处理.它不需要任何网格或单元，所以是非常简便彻底的无网格方法.数值算例表明，该方法具有很高的精度.

关键词: 无网格法；全方向导数；第二类边界条件

Abstract:

According to the mesh-free method based on local Cartesian frame proposed by the author, partial derivatives at every node and natural boundary conditions are constructed by using the total directional derivative formulas. No mesh element is needed at all. Therefore it is very simple both theoretically and computationally. The method is tested with a numerical example of fluid flow. A reliable solution is obtained with high accuracy and efficiency.

Key words: mesh-free method; total directional derivative; second type of boundary conditions

中图分类号:

O 351.3

叶志强，刘高联，陈波. 二维翼型绕流的无网格差分解法[J]. 上海大学学报(自然科学版), 2009, 15(1): 26-31.

YE Zhi-qiang,LIU Gao-lian,CHEN Bo. Mesh Free Difference Method Applied to Flows around 2-D Airfoil[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(1): 26-31.