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

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.