A Fast Solver for Stokes' Integral Equations on Axisymmetric Surfaces

Particle laden Stokes flows are present in many practical problems of interest involving sedimentation, emulsions etc. These are usually solved using boundary integral methods; however solving surface integral equations with weakly singular kernels (as is the case here) using numerical quadratures is still an active area of research. In this project, we focus on a simplified situation, where all the particles are rotationally symmetric. We are trying to come up with fast, scalable solvers that can handle a large number of particles.