A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems

被引：61
|
作者：
Bao, Kai [1 ,2 ]
Shi, Yi [2 ]
Sun, Shuyu [1 ]
Wang, Xiao-Ping [2 ]
机构：
[1] King Abdullah Univ Sci & Technol, Div Math & Comp Sci & Engn, Thuwal 239556900, Saudi Arabia
[2] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 24期
关键词：
Moving contact line; Generalized Navier boundary condition; Finite element method; Convex splitting; Navier-Stokes equations; Cahn-Hilliard equations; CONSERVATION; INTERFACE; SURFACES; CHANNEL; MOTION; FLOWS; MODEL;
D O I：
10.1016/j.jcp.2012.07.027
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a semi-implicit finite element method is presented for the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition for the moving contact line problems. In our method, the system is solved in a decoupled way. For the Cahn-Hilliard equations, a convex splitting scheme is used along with a P1-P1 finite element discretization. The scheme is unconditionally stable. A linearized semi-implicit P2-P0 mixed finite element method is employed to solve the Navier-Stokes equations. With our method, the generalized Navier boundary condition is extended to handle the moving contact line problems with complex boundary in a very natural way. The efficiency and capacity of the present method are well demonstrated with several numerical examples. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：8083 / 8099
页数：17
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