The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Phase-Field Models for Multi-Component Fluid Flows
Open accessAbstract
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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Cites
Elliptic Partial Differential Equations of Second Order
Gilbarg, D., & Trudinger, N. S. (2001) · Classics in Mathematics · doi:10.1007/978-3-642-61798-0 · Cited by 18,587
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1994) · Cited by 15,411
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,437
A continuum method for modeling surface tension
Brackbill, J. U., Kothe, D. B., & Zemach, C. (1992) · Journal of Computational Physics · doi:10.1016/0021-9991(92)90240-y · Cited by 10,338
III. An essay on the cohesion of fluids
Young, T. (1805) · Philosophical Transactions of the Royal Society of London · doi:10.1098/rstl.1805.0005 · Cited by 6,643
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
Harlow, F. H., & Welch, J. E. (1965) · The Physics of Fluids · doi:10.1063/1.1761178 · Cited by 5,977
Level Set Methods and Dynamic Implicit Surfaces
Osher, S., & Fedkiw, R. (2003) · Applied Mathematical Sciences · doi:10.1007/b98879 · Cited by 4,951
Phase Transformations in Metals and Alloys
Porter, D. A., & Easterling, K. E. (1992) · doi:10.1007/978-1-4899-3051-4 · Cited by 4,904
Peskin, C. S. (2002) · Acta Numerica · doi:10.1017/s0962492902000077 · Cited by 4,603
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Metadata
- Authors
- Kim, J.
- Venue
- Communications in Computational Physics
- Publisher
- Global Science Press
- Published
- 2012-09
- Volume
- 12
- Issue
- 3
- Pages
- 613-661
- ISSN
- 1815-2406 (ISSN-L)
- 1991-7120
- OpenAlex
- W2327646252
- Cited by
- 573
- References
- 32
- FWCI
- 22.87
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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