Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:308

Article

Chen, Ying^1,2  Shen, Jie¹ 

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Duke Univ, Dept Math, Durham, NC 27708 USA

关键词: Phase-field;    Two-phase flow;    Navier-Stokes;    Variable density;    Adaptivity;    Stability;    Energy stable schemes;   

DOI  :  10.1016/j.jcp.2015.12.006

来源: Elsevier

【 摘 要 】

In this paper we develop a fully adaptive energy stable scheme for Cahn-Hilliard Navier-Stokes system, which is a phase-field model for two-phase incompressible flows, consisting a Cahn-Hilliard-type diffusion equation and a Navier-Stokes equation. This scheme, which is decoupled and unconditionally energy stable based on stabilization, involves adaptive mesh, adaptive time and a nonlinear multigrid finite difference method. Numerical experiments are carried out to validate the scheme for problems with matched density and non-matched density, and also demonstrate that CPU time can be significantly reduced with our adaptive approach. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free