@Article{CiCP-12-613,
author = {Junseok Kim},
title = {Phase-Field Models for Multi-Component Fluid Flows},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {3},
pages = {613--661},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.301110.040811a},
url = {http://global-sci.org/intro/article_detail/cicp/7307.html}
}