论文|Qiaolin He , Xiaoding SHI , Numerical Study of Compressible Navier-Stokes-Cahn-Hilliard System

本文原载 Comm Math Sci.，由四川大学数学学院贺巧琳教授等科研人员创作，系四川大学“智慧法治”超前部署学科系列学术成果。后续会持续分享四川大学“智慧法治”超前部署学科系列学术成果，欢迎大家阅读。

Abstract: In this paper, we present a relaxation scheme coupled with a stabilized method to numerically study the compressible Navier–Stokes–Cahn–Hilliard system, which has energy-decaying property under certain conditions. Numerical simulations are carried out to verify the stability of the scheme. Numerical results show that the average concentration difference for the two components of the initial state determines the long-time behavior of the diffusive interface for the two-phase flow, which are consistent with theoretical asymptotic stability results established by the authors.

Keywords: relaxation scheme, Navier–Stokes, Cahn–Hilliard, phase transition, large-time behavior

Qiaolin He , Xiaoding SHI , Numerical Study of Compressible Navier-Stokes-Cahn-Hilliard System, Comm Math Sci., 2020, 18(2):571-591.（论文下载）