不可压缩流场多体运动问题的两种数值解法

Two numerical methods of multi-body movement in incompressible fluid

不可压缩流场中多体运动的数值模拟是计算流体动力学的前沿课题,目前可以求解此问题的两种高精度方法是重叠网格法和移动网格法。本文详细讨论了两种方法的理论基础,典型算法的实现过程,并采用两种方法对单圆柱和多圆柱运动问题进行了数值试验。通过分析比较,本文认为重叠网格法计算效率高于移动网格法,重叠网格法比移动网格法更适合于求解物体大位移运动问题,尤其当计算区域几何形状复杂时重叠网格法的优势更加明显。

This paper discusses the theory and approach of the two methods in detail. The numerical test of one-eylinder and tow-eylinder movement is condueted through the two methods. By eomparison, we eonelude that the effieieney of overlap grid method is higher than moving mesh method~ the overlap grid method is more suitable to solve the problem of moving body with large displaeement; the advantage of the overlap grid method is more distinet when the shape of the computation domain is eomplex.