Phase-fieldmodels formulti-component fluid flows

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Abstract

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 andmerging, 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.

Original languageEnglish
Pages (from-to)613-661
Number of pages49
JournalCommunications in Computational Physics
Volume12
Issue number3
DOIs
Publication statusPublished - 2012 Sep 1

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Keywords

  • Cahn-Hilliard,multi-component
  • Interface capturing
  • Interface dynamics
  • Navier-Stokes
  • Phase-field model
  • Surface tension

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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