Department of Mathematics

Speaker: Bryan Quaife
Title: Integral Equation Methods for Complex Fluids: Numerical Analysis and Applications
Affiliation: Florida State University
Date: Friday, April 15, 2016
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. Complex fluids like blood, polymer flows, bacteria flows, and particulate flows appear in science, engineering, and medicine. Numerical simulation of complex fluids is challenging due to fluid-solid interaction, moving interfaces, non-local interactions, multiple time and space scales, and strong non-linearities. For certain flow regimes, numerical methods based on integral formulations offer a powerful framework for addressing some of those challenges. I will describe novel fast high-order accurate algorithms for two problems: (1) Stokesian flows in a porous medium and (2) vesicle (a type of deformable capsule) flows. I will present algorithms for quadrature, preconditioning, collision-detection, and adaptive time-stepping and conclude with numerical results and comparisons with experiments.