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A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation

Title
A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
Authors
Li, YibaoLee, Hyun GeunXia, BinhuKim, Junseok
Ewha Authors
이현근
SCOPUS Author ID
이현근scopus
Issue Date
2016
Journal Title
COMPUTER PHYSICS COMMUNICATIONS
ISSN
0010-4655JCR Link1879-2944JCR Link
Citation
vol. 200, pp. 108 - 116
Keywords
Cahn-Hilliard equationFinite difference methodFourth-order compact schemeMultigridAdaptive mesh refinement
Publisher
ELSEVIER SCIENCE BV
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
This work extends the previous two-dimensional compact scheme for the Cahn-Hilliard equation (Lee et al., 2014) to three-dimensional space. The proposed scheme, derived by combining a compact formula and a linearly stabilized splitting scheme, has second-order accuracy in time and fourth-order accuracy in space. The discrete system is conservative and practically stable. We also implement the compact scheme in a three-dimensional adaptive mesh refinement framework. The resulting system of discrete equations is solved by using a multigrid. We demonstrate the performance of our proposed algorithm by several numerical experiments. (C) 2015 Elsevier B.V. All rights reserved.
DOI
10.1016/j.cpc.2015.11.006
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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