轴对称Stokes绕流的计算

把控制轴对称Stokes绕流的边界积分方程中椭圆积分的奇性化为对数函数的奇性，并采用本文导出的带对数奇性权函数的四点Gauss积分公式，使奇异积分的计算既简洁、通用，又具有高精度．此方法可以计算任意凸或凹的物体的轴对称Stokes绕流．本文对球的绕流计算结果与精确解一致，对凹形物体的计算也得到了合理的收敛结果．

Calculation of Axisymmetric Stokes Flow Past a Particle

The singularity of the elliptic integral in the boundary integral equations governing the axisymmetric Stokes flow past a particle is reduced to a logarithmic singularity and the reduced integrals are calculated by the derived four point Gaussian quadrature with a weighted function containing logarithmic singularity, which makes the calculation of the singular integrals succinct, universal and highly accurate. the method proposed can be used to calculate axisymmetric Stokes flow past a particle with arbitrarily convex or concave profile. The numerical solution for the Stokes flow past a sphere are coincident with the exact solution. For the Stokes flow past a particle with a concave profile, convergent and reasonable numerical solutions are obtained.