A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Shin, Jaemin | - |
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-05T05:28:07Z | - |
dc.date.available | 2021-09-05T05:28:07Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-09-01 | - |
dc.identifier.issn | 0378-4371 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/97432 | - |
dc.description.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. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | FINITE-DIFFERENCE SCHEME | - |
dc.subject | ADAPTIVE MESH REFINEMENT | - |
dc.subject | PHASE-FIELD MODELS | - |
dc.subject | NAVIER-STOKES EQUATIONS | - |
dc.subject | FOURIER-SPECTRAL METHOD | - |
dc.subject | 2D POISSON EQUATION | - |
dc.subject | MULTIGRID METHOD | - |
dc.subject | NONUNIFORM SYSTEM | - |
dc.subject | DIFFUSION-TYPE | - |
dc.subject | TUMOR-GROWTH | - |
dc.title | A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.physa.2014.04.038 | - |
dc.identifier.scopusid | 2-s2.0-84899888720 | - |
dc.identifier.wosid | 000338616100003 | - |
dc.identifier.bibliographicCitation | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.409, pp.17 - 28 | - |
dc.relation.isPartOf | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | - |
dc.citation.title | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | - |
dc.citation.volume | 409 | - |
dc.citation.startPage | 17 | - |
dc.citation.endPage | 28 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.subject.keywordPlus | FINITE-DIFFERENCE SCHEME | - |
dc.subject.keywordPlus | ADAPTIVE MESH REFINEMENT | - |
dc.subject.keywordPlus | PHASE-FIELD MODELS | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | FOURIER-SPECTRAL METHOD | - |
dc.subject.keywordPlus | 2D POISSON EQUATION | - |
dc.subject.keywordPlus | MULTIGRID METHOD | - |
dc.subject.keywordPlus | NONUNIFORM SYSTEM | - |
dc.subject.keywordPlus | DIFFUSION-TYPE | - |
dc.subject.keywordPlus | TUMOR-GROWTH | - |
dc.subject.keywordAuthor | Fourth-order compact scheme | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Multigrid | - |
dc.subject.keywordAuthor | Practically stable scheme | - |
dc.subject.keywordAuthor | Parallel computing | - |
dc.subject.keywordAuthor | Adaptive mesh refinement | - |
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