Department of Mathematics Colloquium


Abstract 

While much progress has been made in the
development of mathematical models and numerical methods for
fluidstructure 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 OldroydB 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 OldroydB fluids.
