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A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.jcp.2020.109671 Guosheng Fu
中文翻译:
两相不可压缩流Cahn-Hilliard相场模型的无散度HDG方案
更新日期:2020-07-09
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.jcp.2020.109671 Guosheng Fu
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, produces 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.
中文翻译:
两相不可压缩流Cahn-Hilliard相场模型的无散度HDG方案
我们为Cahn-Hilliard-Navier-Stokes相场模型构建了无散度的HDG方案。该方案在以对流为主的状态下是鲁棒的,可产生全局无散度的速度近似值,并可通过静态冷凝有效地实现。通过两个数值基准问题,即气泡上升问题和瑞利-泰勒不稳定性问题,证明了该方案的良好性能。