THE BEM FOR SOLVING 2-D STOKES PROBLEM WITH OPEN BOUNDARY
含开边界二维Stokes问题的Galerkin边界元解法

In this paper, we deduce the boundary integral equation of 2-D Stokes problem in a bounded region containing an open boundary, which is an indirect boundary integral equation based on the single layer potential. Then we solve the boundary variational equation corresponding to the first kind integral equation by Galerkin boundary element method to get the vector density of the single layer potential. For boundary elements containing terminal points on the open boundary , we apply a special interpolating function aimed at simulating its intrinsic singularity. In this paper, several numerical tests simulate the viscous incompressible flow around some open boundary.