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A parallel multigrid method of the Cahn-Hilliard equation
- Authors
- Shin, Jaemin; Kim, Sungki; Lee, Dongsun; Kim, 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
- 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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