论文标题
Cahn-Hilliard相位场模型的无分流HDG方案,用于两阶段不可压缩流
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
论文作者
论文摘要
我们为Cahn-Hilliard-Navier-Stokes相位场模型构建了无发散的HDG方案。该方案在以对流为主的状态下具有鲁棒性,产生无差异的速度近似,并且可以通过静态冷凝有效地实现。两个数值基准问题,即兴起的气泡问题以及雷利 - 泰勒不稳定性问题,以显示拟议方案的良好性能。
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.