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A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation

Authors
Lee, ChaeyoungJeong, DaraeShin, JaeminLi, YibaoKim, 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
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/97432
DOI
10.1016/j.physa.2014.04.038
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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