Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows

被引：76

作者：

Jeong, Darae ^{[1
]}

Kim, Junseok ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 02841, South Korea

来源：

COMPUTERS & FLUIDS | 2017年 / 156卷

基金：

新加坡国家研究基金会;

关键词：

Cahn-Hilliard equation; Conservative Allen-Cahn equation; Phase-field model; Navier Stokes equation; Interfacial tension; Multigrid method; DIFFUSE-INTERFACE MODELS; PHASE-FIELD MODELS; MULTIPHASE FLOWS; SET METHOD; MIXTURE; VOLUME; COMPUTATIONS; SIMULATION; EQUATION; SURFACE;

D O I：

10.1016/j.compfluid.2017.07.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new phase-field model for immiscible incompressible two-phase liquid flows has been developed. The model consists of a conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier and a modified Navier-Stokes equation. Even though most phase-field methods for the multiphase flows preserve total mass, the bulk phase concentrations tend to shift from equilibrium concentration values of a double-well potential. The proposed model has a good feature which avoids mass spreading to the bulk phases. To validate the new system, the deformation of a drop from the initial circular shape in shear flow is presented and compared with other numerical results. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：239 / 246

页数：8

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