Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Thursday, October 22, 2015 - 16:00 to 17:00
Kidder 364

Speaker Info

Carnegie-Mellon University

The Ericksen--Leslie model of nematic liquid crystals and the Oldroyd--B fluid are continuum models of fluids containing elastic molecules. In each instance the momentum equation is coupled to an equation governing the evolution of the elastic components, and numerical schemes to simulate solutions of these equations frequently fail (the high Weissenberg number problem).

The equations for both systems can be derived from Hamiltonian's principle which reveals a subtle balance between inertia, transport, and dissipation. This talk will focus on the structural properties of these equations and the insight this provides into why naive numerical schemes may fail, and the ingredients required to construct stable and convergent numerical schemes.