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

页码：8083 / 8099

页数：17

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