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A parallel multigrid method of the Cahn-Hilliard equation

Authors
Shin, JaeminKim, SungkiLee, DongsunKim, Junseok
Issue Date
4월-2013
Publisher
ELSEVIER
Keywords
Parallel computing; Cahn-Hilliard equation; Multigrid; Phase separation; Linearly stabilized splitting scheme
Citation
COMPUTATIONAL MATERIALS SCIENCE, v.71, pp.89 - 96
Indexed
SCIE
SCOPUS
Journal Title
COMPUTATIONAL MATERIALS SCIENCE
Volume
71
Start Page
89
End Page
96
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/103585
DOI
10.1016/j.commatsci.2013.01.008
ISSN
0927-0256
Abstract
We present a parallel finite difference scheme and its implementation for solving the Cahn-Hilliard equation, which describes the phase separation process. Our numerical algorithm employs an unconditionally gradient stable splitting discretization method. The resulting discrete equations are solved using a parallel multigrid method. This parallel scheme facilitates the solution of large-scale problems. We provide numerical results related to the speed-up, efficiency, and scalability to demonstrate the high performance of our proposed method. We also propose a linearly stabilized splitting scheme for the Cahn-Hilliard equation with logarithmic free energy. (c) 2013 Elsevier B.V. All rights reserved.
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