A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Lee, Hyun Geun | - |
dc.contributor.author | Xia, Binhu | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-04T02:00:23Z | - |
dc.date.available | 2021-09-04T02:00:23Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2016-03 | - |
dc.identifier.issn | 0010-4655 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/89282 | - |
dc.description.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. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | DENSITY-FUNCTIONAL THEORY | - |
dc.subject | ADAPTIVE MESH REFINEMENT | - |
dc.subject | PHASE-FIELD MODELS | - |
dc.subject | NONUNIFORM SYSTEM | - |
dc.subject | NUMERICAL-METHOD | - |
dc.subject | FREE-ENERGY | - |
dc.subject | TIME | - |
dc.subject | 2ND-ORDER | - |
dc.subject | ACCURATE | - |
dc.subject | DISCRETIZATIONS | - |
dc.title | A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cpc.2015.11.006 | - |
dc.identifier.scopusid | 2-s2.0-84957428815 | - |
dc.identifier.wosid | 000369451900012 | - |
dc.identifier.bibliographicCitation | COMPUTER PHYSICS COMMUNICATIONS, v.200, pp.108 - 116 | - |
dc.relation.isPartOf | COMPUTER PHYSICS COMMUNICATIONS | - |
dc.citation.title | COMPUTER PHYSICS COMMUNICATIONS | - |
dc.citation.volume | 200 | - |
dc.citation.startPage | 108 | - |
dc.citation.endPage | 116 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | DENSITY-FUNCTIONAL THEORY | - |
dc.subject.keywordPlus | ADAPTIVE MESH REFINEMENT | - |
dc.subject.keywordPlus | PHASE-FIELD MODELS | - |
dc.subject.keywordPlus | NONUNIFORM SYSTEM | - |
dc.subject.keywordPlus | NUMERICAL-METHOD | - |
dc.subject.keywordPlus | FREE-ENERGY | - |
dc.subject.keywordPlus | TIME | - |
dc.subject.keywordPlus | 2ND-ORDER | - |
dc.subject.keywordPlus | ACCURATE | - |
dc.subject.keywordPlus | DISCRETIZATIONS | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Finite difference method | - |
dc.subject.keywordAuthor | Fourth-order compact scheme | - |
dc.subject.keywordAuthor | Multigrid | - |
dc.subject.keywordAuthor | Adaptive mesh refinement | - |
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