A practically unconditionally gradient stable scheme for the N-component Cahn-Hilliard system
- Authors
- Lee, Hyun Geun; Choi, Jeong-Whan; Kim, Junseok
- Issue Date
- 15-2월-2012
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- N-component Cahn-Hilliard system; Practically unconditionally gradient stable; Nonlinear multigrid; Phase separation; Finite difference
- Citation
- PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.391, no.4, pp.1009 - 1019
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- Volume
- 391
- Number
- 4
- Start Page
- 1009
- End Page
- 1019
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/105461
- DOI
- 10.1016/j.physa.2011.11.032
- ISSN
- 0378-4371
- Abstract
- We present a practically unconditionally gradient stable conservative nonlinear numerical scheme for the N-component Cahn-Hilliard system modeling the phase separation of an N-component mixture. The scheme is based on a nonlinear splitting method and is solved by an efficient and accurate nonlinear multigrid method. The scheme allows us to convert the N-component Cahn-Hilliard system into a system of N - 1 binary Cahn-Hilliard equations and significantly reduces the required computer memory and CPU time. We observe that our numerical solutions are consistent with the linear stability analysis results. We also demonstrate the efficiency of the proposed scheme with various numerical experiments. (C) 2011 Elsevier B.V. All rights reserved.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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