圆外Stokes问题的边界积分公式

BOUNDARY INTEGRAL FORMULA FOR STOKES PROBLEM OF OUTER CIRCLE DOMAIN

针对圆外区域的Stokes问题,利用Fourier展开法,通过自然边界归化得到了一个只与边界速度有关的Stokes问题的边界积分公式.根据此公式及边界速度值,求得区域内速度及压力分布的解析表达式,并通过数值积分的方法进行求解,计算量小,所得速度及压力分布图曲线光滑.最后借助流体软件进行数值计算,结果验证了边界积分公式的正确性、可行性.

The intention of this paper is to discuss the natural boundary element method of stokes problem of outer circle domain.With this method,boundary integral formula just related to boundary velocity can be obtained by Fourier series expanded technique.According to Poisson integral formula and the boundary velocity,the analytical calculating formula of inner circle values can be solved and afterwards the distribution of velocity and pressure is given and analyzed.It is convenient to utilize numerical integral m...