Integral equation methods for electrohydrodynamics of vesicle suspensions

Thursday, March 15, 2018 - 9:00am - 9:50am
Lind 305
Shravan Veerapaneni (University of Michigan)
We present a boundary integral equation method, developed recently, for simulating the coupled electro- and hydro-dynamics of vesicle suspensions subjected to external flow and electric fields. The dynamics of a vesicle are characterized by a competition between the elastic, electric and viscous forces on its membrane. The classical Taylor-Melcher leaky-dielectric model is employed for the electric response of the vesicle and the Helfrich energy model combined with local inextensibility is employed for its elastic response. The coupled governing equations for the vesicle position and its transmembrane electric potential are solved using a numerical method that is spectrally accurate in space and first-order in time. Novel suspension dynamics such as formation of stationary and oscillatory chains will be discussed.

This is joint work with Bowei Wu (University of Michigan).