European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

The Method of Regularized Stokeslets as an Introduction to Fluid-Structure Interactions

MS62-08

14 Jul 2026, 17:40

20m

05.12 - HS (University of Graz)

Minisymposium Talk Miscellaneous Newtonian and non-Newtonian Biofluidmechanics: Integrating Theory, Experiments, Modeling, and Simulations

Speaker

Amy Buchmann (University of San Diego)

Description

Mathematical and computational modeling plays an important role in understanding biological fluid mechanics. Even though the fluid motion is governed by partial differential equations, there are many projects in this field that can be made accessible to undergraduate students. The Method of Regularized Stokeslets (MRS) [1] is a popular technique used in modeling low Reynolds number flows. In this talk, I discuss the development of an introductory guide to the MRS designed for undergraduate students with a background in linear algebra and multivariable calculus. This framework can be adapted for high-impact research projects for undergraduates at any level.

[1] Cortez, Ricardo. The Method of Regularized Stokeslets. SIAM Journal on Applied Mathematics, 23(4):1204-1225, 2001.