Author(s)

M.S. Ingber, D.E. Womble & L.A. Mondy

Abstract

Simulations of hydrodynamic interactions among immersed particles in Stokes flow using a massively parallel computer M.S. Ingber," D.E. Womble^L.A. Mondy' "Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131, USA * Applied and Numerical Mathematics Department, Sandia National "Energetic and Multiphase Processes Department, Sandia National ABSTRACT In this paper, a massively parallel implementation of the boundary element method to study particle transport in Stokes flow is discussed. The numer- ical algorithm couples the quasistatic Stokes equations for the fluid with kinematic and equilibrium equations for the particles. The formation and assembly of the discretized boundary element equations is based on the torus-wrap mapping as opposed to the more traditional row- or column- wrap mappings. The equation set is solved using a block Jacobi iteration method. Results are shown for an example application problem, which re- quires solving a dense system of

Keywords