An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
- Authors
- Yang, Junxiang; Kim, Junseok
- Issue Date
- 8월-2020
- Publisher
- ELSEVIER
- Keywords
- Systems of Cahn-Hilliard equations; second-order accuracy; unconditionally stable scheme; finite difference method
- Citation
- COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.87
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
- Volume
- 87
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/53860
- DOI
- 10.1016/j.cnsns.2020.105276
- ISSN
- 1007-5704
- Abstract
- In this paper, we develop an unconditionally stable linear numerical scheme for the N-component Cahn-Hilliard system with second-order accuracy in time and space. The proposed scheme is modified from the Crank-Nicolson finite difference scheme and adopts the idea of a stabilized method. Nonlinear multigird algorithm with Gauss-Seidel-type iteration is used to solve the resulting discrete system. We theoretically prove that the proposed scheme is unconditionally stable for the whole system. The numerical solutions show that the larger time steps can be used and the second-order accuracy is obtained in time and space; and they are consistent with the results of linear stability analysis. We investigate the evolutions of triple junction and spinodal decomposition in a quaternary mixture. Moreover, the proposed scheme can be modified to solve the binary spinodal decomposition in complex domains and multi-component fluid flows. (c) 2020 Elsevier B.V. All rights reserved.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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