Published: Oct. 8, 2021

Eduardo Corona, Department of Applied Mathematics, University of Colorado Boulder

A crash course in boundary integral methods with applications to Stokesian suspensions

Boundary integral methods consist on re-formulating PDE boundary value problems in terms of integral operators. If this integral formulation is chosen carefully, this can reduce the dimensionality of the problem, and result in well-conditioned linear systems upon discretization. In this talk, I will explain each step involved in the application of this method to build a general simulation framework of Stokesian rigid body suspension flows, focusing on the use of fast algorithms and high performance computing.

Particulate flows are ubiquitous in the study of self-assembly of biological structures and the design of soft materials. I will discuss some of our recent work applying this boundary integral framework to simulate Janus particle systems, that is, of particles whose surfaces exhibit two distinct physical properties.