流体绕椭圆柱有势无环量流动的精确解与边界拟合坐标变换数值解

本文首先用保角变换法求得绕椭圆柱势流的精确解,之后又用边界拟合坐标变换法,借助于作音编制的通用程序BFCC—1,BFCC—2,求得同一问题的数值解。比较表明:边界拟合坐标变换法具有很高的求解精度,可广泛用于平面势流问题的解算,而不只局限于椭圆柱绕流这样的简单曲线边界的区域。

Accurate solution and numerical solution through boundary—fitted curvilinear coordinates transformation of irrotational potential flow of fluid around an elliptic cylinder.

In this paper, an accurate solution of irrotational potential flow of fluid around an elliptic cylinder is obtained through conformal transformation. Then. the numerical solution of the same problem is obtained through boundary—fitted curvilinear coordinates transformation by means of the general—purpose programs BFCC—1 and BFGC—2 which are programmed by the authors, A comparison of these two methods was made, The results show that the method of loundary—fitted curvilinear coordinates transformation gives accuracy of higher order and may be applied not only to the problems with simple curvilinear boundary such as flow around an elliptic cylinder, but also widely to all of the problems of two—dimensional potential fluid flow no matter how complicated the boundaries of the multi—counected region may be.