Department of Mathematics Colloquium

University of Idaho

Fall 2011
Thursday,  November 10, 3:30-4:20pm, room TLC 030

Refreshments in Brink 305 at 3:00 p.m.

Models for complex fluids-structure interaction in peristalsis and sperm motility


Robert Dillon

Department of Mathematics

Washington State University


While much progress has been made in the development of mathematical models and numerical methods for fluid-structure interactions in a Newtonian fluid, much work needs to be done in the case of complex
fluids.  We describe a Lagrangian mesh method for modeling complex fluids where the fluid viscoelasticity is represented by a discrete network of Maxwell elements.  The rheological properties of the Lagrangian mesh fluid is compared with an Oldroyd-B model for complex fluids in a computational rheometer.  We show simulation
results from immersed boundary models for peristalsis and sperm motility in Lagrangian mesh and Oldroyd-B fluids.