# Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

### Computation of Swimming Motions Using Regularized Stokeslets

**Colloquium**

Speaker: | Ricardo Cortez, Tulane University |

Location: | 693 Kerr |

Start time: | Tue, Apr 23 2002, 4:10PM |

The fluid motion surrounding swimming microorganisms is often modeled using the Stokes equations of fluid flow due to the small length scales. I will present a numerical method for computing Stokes flows interacting with immersed flexible bodies or moving through obstacles. The method treats the flexible bodies as sources of force in the Stokes equations. The velocity is the superposition of flows due to each of the force elements. Exact flows are derived for forces that are smooth but supported in small spheres, rather than point forces. I will explain the idea of the method, the connection to the standard fundamental solution of the Stokes equations, and I will present several examples in two and three dimensions related to flagellar motions.

(Coffee & cookies @ 3:45 in 550 Kerr )