Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
- Authors
- Jeong, Darae; Kim, Junseok
- Issue Date
- 12-10월-2017
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Cahn-Hilliard equation; Conservative Allen-Cahn equation; Phase-field model; Navier Stokes equation; Interfacial tension; Multigrid method
- Citation
- COMPUTERS & FLUIDS, v.156, pp.239 - 246
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & FLUIDS
- Volume
- 156
- Start Page
- 239
- End Page
- 246
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/81913
- DOI
- 10.1016/j.compfluid.2017.07.009
- ISSN
- 0045-7930
- Abstract
- A new phase-field model for immiscible incompressible two-phase liquid flows has been developed. The model consists of a conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier and a modified Navier-Stokes equation. Even though most phase-field methods for the multiphase flows preserve total mass, the bulk phase concentrations tend to shift from equilibrium concentration values of a double-well potential. The proposed model has a good feature which avoids mass spreading to the bulk phases. To validate the new system, the deformation of a drop from the initial circular shape in shear flow is presented and compared with other numerical results. (C) 2017 Elsevier Ltd. All rights reserved.
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