[8-12]Phase-field models for multiphase complex fluids: modeling, numerical analysis and simulations

Date:2009-08-10

Title：Phase-field models for multiphase complex fluids: modeling, numerical analysis and simulations

Speaker：Professor  Jie Shen （沈捷）
　　　　　Department of Mathematics, Purdue University
　　　　　http://www.math.purdue.edu/~shen/

Time： 4:00-5:00 pm, Wednesday, August 12
Venue：Room 337, Level 3 Building #5

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. We shall pay particular attention to situations with large density ratios as they lead to formidable challenges in both analysis and simulation.

I shall present efficient and accurate numerical schemes for solving this coupled nonlinear system, and show ample numerical results (air bubble rising in water, Newtonian bubble rising in a polymeric fluid, defect motion in a 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.