Adaptive singularity method for Stokes flow past particles (Q1346559)

We implement the method of fundamental solutions to compute Stokes flow past or due to the motion of solid particles. The flow is represented in terms of a collection of vectorial fundamental solutions to the governing equations including the point force, the potential dipole, and the couplet. The locations and strengths of the fundamental solutions are computed by minimizing a functional so as to satisfy the required boundary conditions with highest accuracy. The method is applied to compute flow past or due to the motion of spherical and spheroidal particles in an infinite fluid and in a semi-infinite fluid bounded by a plane wall.