An unconditionally energy-stable second-order time-accurate numerical scheme for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures
- Authors
- Li, Yibao; Zhang, Lujing; Xia, Qing; Yu, Qian; Kim, Junseok
- Issue Date
- 12월-2021
- Publisher
- ELSEVIER
- Keywords
- Cahn-Hilliard system; Copolymer; Second order; Unconditionally energy-stable; homopolymer mixtures
- Citation
- COMPUTATIONAL MATERIALS SCIENCE, v.200
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTATIONAL MATERIALS SCIENCE
- Volume
- 200
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/135594
- DOI
- 10.1016/j.commatsci.2021.110809
- ISSN
- 0927-0256
- Abstract
- In this article, we present an unconditional energy stable numerical method for the coupled Cahn-Hilliard system for homopolymer and copolymer mixtures in two-and three-dimensional spaces. By combining a Crank- Nicolson-type method with a nonlinearly stabilized splitting method, a second-order accurate numerical scheme is constructed. To efficiently solve the discrete system, we use a fast iterative Fourier transform method. We prove the unconditional energy stability of the proposed method. Therefore, a large time step can be adopted. Various numerical experiments are performed to prove the performance of the proposed scheme.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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