Collective dynamics in suspensions bounded by two planar walls via a new accelerated Stokesian-dynamics algorithm

Our novel accelerated Stokesian-dynamics algorithm for a system of spherical particles bounded by two parallel planar walls serves to efficiently follow the dynamics of about $10^3$ particles. Its high efficiency is due to simplifications associated with the far-field asymptotics of the scattered flow produced by the particles. By a proper choice of basis Stokes flows (which in the near field tend to Lamb solutions and in the far field to multipolar basis of Hele-Shaw flows), the problem is reduced to a sparse linear system that is solved at a low numerical cost using iterative sparse-matrix manipulation techniques. We also present applications of our algorithm to study suspension transport in microfluidic channels and collective motion of large regular particle arrays in Poiseuille flow.