A multigrid solution for the Cahn-Hilliard equation on nonuniform grids
DC Field | Value | Language |
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dc.contributor.author | Choi, Yongho | - |
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-03T10:54:53Z | - |
dc.date.available | 2021-09-03T10:54:53Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-01-15 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/84913 | - |
dc.description.abstract | We present a nonlinear multigrid method to solve the Cahn-Hilliard (CH) equation on nonuniform grids. The CH equation was originally proposed as a mathematical model to describe phase separation phenomena after the quenching of binary alloys. The model has the characteristics of thin diffusive interfaces. To resolve the sharp interfacial transition, we need a very fine grid, which is computationally expensive. To reduce the cost, we can use a fine grid around the interfacial transition region and a relatively coarser grid in the bulk region. The CH equation is discretized by a conservative finite difference scheme in space and an unconditionally gradient stable type scheme in time. We use a conservative restriction in the nonlinear multigrid method to conserve the total mass in the coarser grid levels. Various numerical results on one-, two-, and three-dimensional spaces are presented to demonstrate the accuracy and effectiveness of the nonuniform grids for the CH equation. (C) 2016 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.subject | ADAPTIVE MESH REFINEMENT | - |
dc.subject | DIFFERENCE SCHEME | - |
dc.subject | ENERGY | - |
dc.title | A multigrid solution for the Cahn-Hilliard equation on nonuniform grids | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.amc.2016.08.026 | - |
dc.identifier.scopusid | 2-s2.0-84985906573 | - |
dc.identifier.wosid | 000385334800026 | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS AND COMPUTATION, v.293, pp.320 - 333 | - |
dc.relation.isPartOf | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.citation.title | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.citation.volume | 293 | - |
dc.citation.startPage | 320 | - |
dc.citation.endPage | 333 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | ADAPTIVE MESH REFINEMENT | - |
dc.subject.keywordPlus | DIFFERENCE SCHEME | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Nonuniform grid | - |
dc.subject.keywordAuthor | Finite difference method | - |
dc.subject.keywordAuthor | Multigrid method | - |
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