Phase-Field Models for Multi-Component Fluid Flows

被引:469
作者
Kim, Junseok [1 ]
机构
[1] Korea Univ, Dept Math, Seoul 136701, South Korea
基金
新加坡国家研究基金会;
关键词
Navier-Stokes; Cahn-Hilliard; multi-component; surface tension; interface dynamics; interface capturing; phase-field model; CAHN-HILLIARD EQUATION; TENSION FORCE FORMULATION; ADAPTIVE MESH REFINEMENT; DIFFUSE-INTERFACE METHOD; LEVEL SET APPROACH; HELE-SHAW CELL; 2-PHASE FLOWS; NONUNIFORM SYSTEM; PROJECTION METHOD; FREE-ENERGY;
D O I
10.4208/cicp.301110.040811a
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we review the recent development of phase-field models and their numerical methods for multi-component fluid flows with interfacial phenomena. The models consist of a Navier-Stokes system coupled with a multi-component Cahn-Hilliard system through a phase-field dependent surface tension force, variable density and viscosity, and the advection term. The classical infinitely thin boundary of separation between two immiscible fluids is replaced by a transition region of a small but finite width, across which the composition of the mixture changes continuously. A constant level set of the phase-field is used to capture the interface between two immiscible fluids. Phase-field methods are capable of computing topological changes such as splitting and merging, and thus have been applied successfully to multi-component fluid flows involving large interface deformations. Practical applications are provided to illustrate the usefulness of using a phase-field method. Computational results of various experiments show the accuracy and effectiveness of phase-field models.
引用
收藏
页码:613 / 661
页数:49
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