A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow

DOI10.1016/J.JCP.2020.109671arXiv2002.09150WikidataQ115994585 ScholiaQ115994585MaRDI QIDQ6335276

Guosheng Fu

Publication date: 21 February 2020

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.

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Geophysics (86-XX)

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