Abstract: Practice has proved that in the process of numerical analysis, the value of the tangential velocity on the boundary is inaccurate upon comparing the results thereof with frequency solutions by desingularized boundary integral equation method (DBIEM), especially at the place where the normal vector is changed rapidly. In this paper, the singularity of the traditional boundary element method, which is directly arranged in the center of the surface of the fluid computing domain, is moved outside the computational domain using the DBIEM. In order to analyze the accuracy of the DBIEM and validate the above conclusion, three-dimensional uniform flow over sphere has been simulated, and the numerical results are compared with the analytical solutions in the literature. It is found that the velocity accuracy of the flow field can be greatly improved on sudden changed surface shape.

Key words: boundary element method (BEM), desingularized boundary integral equation method (DBIEM), flow over sphere, hydrodynamic