Numerical Approximations for Alen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

被引：59

作者：

Ma, Lina ^{[1
]}

Chen, Rui ^{[2
]}

Yang, Xiaofeng ^{[3
,4
]}

Zhang, Hui ^{[5
]}

机构：

[1] Penn State Univ, Dept Math, State Coll, PA 16802 USA

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

[4] Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

[5] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2017年 / 21卷 / 03期

基金：

美国国家科学基金会;

关键词：

Phase-field; two-phase flow; Navier-Stokes; contact lines; stability; ENERGY STABLE SCHEMES; HYDRODYNAMICS; FLOWS;

D O I：

10.4208/cicp.OA-2016-0008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present some efficient numerical schemes to solve a two-phase hydrodynamics coupled phase field model with moving contact line boundary conditions. The model is a nonlinear coupling system, which consists the Navier-Stokes equations with the general Navier Boundary conditions or degenerated Navier Boundary conditions, and the Allen-Cahn type phase field equations with dynamical contact line boundary condition or static contact line boundary condition. The proposed schemes are linear and unconditionally energy stable, where the energy stabilities are proved rigorously. Various numerical tests are performed to show the accuracy and efficiency thereafter.

引用

页码：867 / 889

页数：23

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