二维可压翼型绕流的新型无网格解法  

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

作　　者：李世宇[1] 陈波[1] 刘高联[1] 卢占斌[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《上海大学学报（自然科学版）》2009年第5期464-469,共6页Journal of Shanghai University:Natural Science Edition

基　　金：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)

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.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 eomputationally. The method is tested with a numerical example of compressible fluid flow. A reliable solution is obtained with high accuracy and efficiency.

关 键 词：无网格法 方向全导数 二维翼型绕流 可压缩流动 

分 类 号：O354[理学—流体力学]