A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
arXiv:2002.09150 · doi:10.1016/j.jcp.2020.109671
Abstract
We construct a divergence-free HDG scheme for the Cahn-Hilliard-Navier-Stokes phase field model. The scheme is robust in the convection-dominated regime, produce a globally divergence-free velocity approximation, and can be efficiently implemented via static condensation. Two numerical benchmark problems, namely the rising bubble problem, and the Rayleigh-Taylor instability problem are used to show the good performance of the proposed scheme.
15 pages