任意边界的Stokes内流问题的数值计算

本文采用一种格林函数方法^1],研究了包括任意形状的外边界和流场中任意形状的物体的Stokes内流问题。将方程化成边界积分,从而降低一个维度。数值地求解边界面上的应力分量,再进一步算出流动区域的速度场和压力场,各种不同形状边界的算例,都得到了满意的结果。在处理任意边界内的任意形状物体的绕流时,本方法较其它方法有着明显的优点。

NUMERICAL SOLUTION OF INNER STOKES FLOWS WITH ARBITRARY BOUNDARIES

In this paper the problem of inner Stokes flows with arbitrary boundaries is considered using Green's function method1].The Stokes equations are converted to linear boundary integral equations and the domain of solution is decreased by one dimension.The integral equations are resolved numerically and the surface-stress force is determined.Numerical solution of sample test problems indicate the superior accuracy, computational efficiencies and wide flexibility in handling very complex geometry.