A new conservative vector-valued Allen-Cahn equation and its fast numerical method
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Junseok | - |
dc.contributor.author | Lee, Hyun Geun | - |
dc.date.accessioned | 2021-09-02T22:24:35Z | - |
dc.date.available | 2021-09-02T22:24:35Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-12 | - |
dc.identifier.issn | 0010-4655 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/81365 | - |
dc.description.abstract | The scalar Allen Cahn (AC) equation does not conserve the total mass, and its conservative forms have been studied analytically and numerically. Compared to the conservative scalar AC equations, a conservative form of the vector-valued AC equation is less studied. In this study, we introduce a new conservative vector-valued AC equation that conserves total mass and keeps the bulk phase values (away from the interfacial transition region) close to local minima. To solve the equation, we propose a fast numerical method that is based on the operator splitting method. In the proposed method, we split the equation into three subequations, and each subequation is solved in a component-wise manner. As a result, the conservative vector-valued AC equation is solved quickly, and the average CPU time is nearly linear with respect to the number of components. Numerical experiments with three and more components are presented to demonstrate the usefulness of the proposed method. (C) 2017 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | MEAN-CURVATURE FLOW | - |
dc.subject | IMAGE SEGMENTATION | - |
dc.subject | MULTICOMPONENT FLUIDS | - |
dc.subject | COMPUTER-SIMULATION | - |
dc.subject | MULTIPHASE SYSTEMS | - |
dc.subject | GENERALIZED MOTION | - |
dc.subject | DIFFERENCE SCHEME | - |
dc.subject | MULTIGRID SOLVER | - |
dc.subject | BOUNDARY MOTION | - |
dc.title | A new conservative vector-valued Allen-Cahn equation and its fast numerical method | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cpc.2017.08.006 | - |
dc.identifier.scopusid | 2-s2.0-85029594964 | - |
dc.identifier.wosid | 000413376800009 | - |
dc.identifier.bibliographicCitation | COMPUTER PHYSICS COMMUNICATIONS, v.221, pp.102 - 108 | - |
dc.relation.isPartOf | COMPUTER PHYSICS COMMUNICATIONS | - |
dc.citation.title | COMPUTER PHYSICS COMMUNICATIONS | - |
dc.citation.volume | 221 | - |
dc.citation.startPage | 102 | - |
dc.citation.endPage | 108 | - |
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 | PHASE-FIELD MODEL | - |
dc.subject.keywordPlus | MEAN-CURVATURE FLOW | - |
dc.subject.keywordPlus | IMAGE SEGMENTATION | - |
dc.subject.keywordPlus | MULTICOMPONENT FLUIDS | - |
dc.subject.keywordPlus | COMPUTER-SIMULATION | - |
dc.subject.keywordPlus | MULTIPHASE SYSTEMS | - |
dc.subject.keywordPlus | GENERALIZED MOTION | - |
dc.subject.keywordPlus | DIFFERENCE SCHEME | - |
dc.subject.keywordPlus | MULTIGRID SOLVER | - |
dc.subject.keywordPlus | BOUNDARY MOTION | - |
dc.subject.keywordAuthor | Vector-valued Allen-Cahn equation | - |
dc.subject.keywordAuthor | Mass conservation | - |
dc.subject.keywordAuthor | Operator splitting | - |
dc.subject.keywordAuthor | Linear multigrid | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.