A quasi-incompressible Chan-Hilliard-Darcy model for two-phase flows in porous media
Prof. Daozhi Han
Date & Time
19 Feb 2025 (Wed) | 11:00 AM - 12:00 PM
Venue
Online Via Zoom
Registration link: https://cityu.zoom.us/meeting/register/TmS8gvazQFOS-n0Z6A293Q
Registration link: https://cityu.zoom.us/meeting/register/TmS8gvazQFOS-n0Z6A293Q
ABSTRACT
Two-phase flows in porous media is known as the Muskat problem. The Muskat problem can be ill-posed. In this talk we introduce a quasi-incompressible Cahn-Hilliard-Darcy model as a relaxation of the Muskat problem. We establish global existence of weak solution to the model. We then present a second-order accurate bound-preserving and unconditionally stable numerical method for solving the equations.