Title: Efficient and unconditionally stable numerical schemes for phase field models
Speaker: Xiaoming Wang, Professor and Chair
Department of Mathematics，Florida State University
Time: 4:00-5:00PM, Friday, July 17th, 2015
Venue: 览秀楼105
Abstract:
We present a second order in time accurate and efficient numerical scheme for the Cahn-Hilliard-Navier-Stokes system that models two-phase flows. Our efficient algorithm is based on the Chorin-Temam projection method for the velocity equation and the convex-splitting method for the phase field (Cahn-Hilliard) equation. The scheme inherits the energy law of the original system and is uniquely solvable at each time step. A similar idea can be applied to the Cahn-Hilliard-Darcy system that models two-phase flow in a Hele-Shaw cell or in porous media.