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A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation
- Authors
- Lee, Chaeyoung; Jeong, Darae; Shin, Jaemin; Li, Yibao; Kim, Junseok
- Issue Date
- 1-9월-2014
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Fourth-order compact scheme; Cahn-Hilliard equation; Multigrid; Practically stable scheme; Parallel computing; Adaptive mesh refinement
- Citation
- PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.409, pp.17 - 28
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- Volume
- 409
- Start Page
- 17
- End Page
- 28
- ISSN
- 0378-4371
- Abstract
- We present a fourth-order spatial accurate and practically stable compact difference scheme for the Cahn-Hilliard equation. The compact scheme is derived by combining a compact nine-point formula and linearly stabilized splitting scheme. The resulting system of discrete equations is solved by a multigrid method. Numerical experiments are conducted to verify the practical stability and fourth-order accuracy of the proposed scheme. We also demonstrate that the compact scheme is more robust and efficient than the non-compact fourth-order scheme by applying to parallel computing and adaptive mesh refinement. (C) 2014 Elsevier B.V. All rights reserved.
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