Shape transformation using the modified Allen-Cahn equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hyundong | - |
dc.contributor.author | Yoon, Sungha | - |
dc.contributor.author | Wang, Jian | - |
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Kim, Sangkwon | - |
dc.contributor.author | Park, Jintae | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-08-30T16:06:12Z | - |
dc.date.available | 2021-08-30T16:06:12Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2020-09 | - |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/53690 | - |
dc.description.abstract | In this paper, we propose a phase-field model for the shape transformation and its simple numerical method. The proposed phase-field model is based on the Allen-Cahn equation, which is a second-order nonlinear parabolic partial differential equation and originally arises from modeling phase separation in alloys. The numerical scheme is a hybrid method using the operator splitting method. To validate the proposed phase-field model for the shape transformation, we perform two- and three-dimensional shape metamorphosis. The proposed phase-field model is also compared with the linear interpolation. The computational results demonstrate that the proposed mathematical model satisfactorily and naturally simulate the shape transformation. (C) 2020 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | Shape transformation using the modified Allen-Cahn equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.aml.2020.106487 | - |
dc.identifier.scopusid | 2-s2.0-85084936064 | - |
dc.identifier.wosid | 000539042000006 | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS LETTERS, v.107 | - |
dc.relation.isPartOf | APPLIED MATHEMATICS LETTERS | - |
dc.citation.title | APPLIED MATHEMATICS LETTERS | - |
dc.citation.volume | 107 | - |
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.keywordAuthor | Phase-field | - |
dc.subject.keywordAuthor | Allen-Cahn equation | - |
dc.subject.keywordAuthor | Shape transformation | - |
dc.subject.keywordAuthor | Metamorphosis | - |
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.