Research Colloquium Wednesday, September 12, 2012
Introduction to regularization methods for biological fluid flow problemsDr. Ricardo Cortez
Department of Mathematics and Center for Computational Science
Biological flows, such as those surrounding swimming microorganisms or beating cilia, can be properly modeled using the Stokes equations for fluid motion with external forcing. The organism surfaces can be viewed as flexible interfaces imparting force or torque on the fluid. I will present the Method of Regularized Stokeslets and some extensions of it that are used to compute Stokes flows interacting with immersed flexible bodies or moving through obstacles. The method is based on expressions for the exact fluid velocity field resulting from localized forces supported in small spheres, rather than point-forces. I will present the idea of the method, some of the known results and several examples from biological applications.