Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 12, Issue 3, Pages 613-661Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.301110.040811a
Keywords
Navier-Stokes; Cahn-Hilliard; multi-component; surface tension; interface dynamics; interface capturing; phase-field model
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Funding
- National Research Foundation of Korea (NRF)
- Ministry of Education, Science and Technology [331-2008-1-C00044]
- National Research Foundation of Korea [331-2008-1-C00044] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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.
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