Friday, March 30, 2012

3:30pm

101 Stanley Thomas Hall

Tulane University (Uptown)

Refreshments will be served

Ricardo Cortez

Introduction to the method of regularized Stokeslets for fluid flow and applications to microorganism swimming

Biological flows, such as those surrounding swimming microorganisms, 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. Interesting flows have been observed when the organism swims near a solid wall due to the hydrodynamic interaction of rotating flagella with a neighboring solid surface. I will introduce the method of regularized Stokeslets and some extensions of it that are used to compute these flows. The method is based on fundamental solutions of linear PDEs, leading to integral representations of the solution. I will present the idea of the method, some of the known results and applications to flows generated by swimming flagella. ( http://www.math.tulane.edu/~cortez )

Center for Computational Science, Stanley Thomas Hall 402, New Orleans, LA 70118 ccs@tulane.edu