Title:
Modeling and simulation of multiphase incompressible flows
using an energetic variational phase field model

Abstract:
I shall present an energetic variational phase field model for
multiphase incompressible flows which leads to a set of coupled
nonlinear system consisting a phase equation and the Navier-Stokes
equations. I shall present efficient and accurate numerical schemes
for solving this coupled nonlinear system, and show ample numerical
results (drop formation and pitching-off, defect motion in liquid
crystal flow, etc.) which not only demonstrate the effectiveness of
the numerical schemes, but also validate the flexibility and
robustness of the phase-field model.