二维可压翼型绕流的新型无网格解法

上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (5): 464-469.

二维可压翼型绕流的新型无网格解法

上海大学上海市应用数学和力学研究所,上海 200072

收稿日期:2008-06-04 出版日期:2009-10-30 发布日期:2009-10-30
通讯作者: 卢占斌(1975～)，男，副研究员，博士,研究方向为叶轮机气动力学. E-mail:zblu@shu.edu.cn
基金资助:
国家自然科学基金资助项目(10772103);上海市重点学科建设资助项目(Y0103)

A New Mesh-Free Difference Method Applied to Compressible Flow Past a Two-Dimensional Airfoil

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

Received:2008-06-04 Online:2009-10-30 Published:2009-10-30

摘要/Abstract

摘要：

根据一种新型的基于方向全导数的无网格方法,运用方向全导数公式构造样点的相应偏导数,并用该公式对第二类边界条件进行离散处理,这样不需要构造任何网格或单元,就可以对多种流动问题进行求解,所以是非常简便和彻底的无网格方法.通过求解两个可压缩流场中二维翼型的数值算例表明,该方法对于解决可压流场中的问题具有较高的精度.

关键词: 无网格法;方向全导数;二维翼型绕流;可压缩流动

Abstract:

According to a mesh-free method based on total directional derivative, partial derivatives at all nodes and natural boundary conditions are constructed using the total directional derivative formula. Since no mesh/element is needed, it is simple both theoretically and computationally. The method is tested with a numerical example of compressible fluid flow. A reliable solution is obtained with high accuracy and efficiency.

Key words: mesh-free method; total directional derivative; flow past a two-dimensional airfoil; compressible flow

中图分类号:

O 354

李世宇陈波刘高联卢占斌. 二维可压翼型绕流的新型无网格解法[J]. 上海大学学报(自然科学版), 2009, 15(5): 464-469.

LI Shi-Yu, CHEN Bo, LIU Gao-Lian, LU Zhan-Bin. A New Mesh-Free Difference Method Applied to Compressible Flow Past a Two-Dimensional Airfoil[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(5): 464-469.