A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Junseok | - |
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Yang, Seong-Deog | - |
dc.contributor.author | Choi, Yongho | - |
dc.date.accessioned | 2021-09-03T07:21:00Z | - |
dc.date.available | 2021-09-03T07:21:00Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-04-01 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/83792 | - |
dc.description.abstract | We present an efficient numerical scheme for the conservative Allen-Cahn (CAC) equation on various surfaces embedded in a narrow band domain in the three-dimensional Space. We apply a quasi-Neumann boundary condition on the narrow band domain boundary using the closest point method. This boundary treatment allows us to use the standard Cartesian Laplacian operator instead of the Laplace-Beltrami operator. We apply a hybrid operator splitting method for solving the CAC equation. First, we use an explicit Euler method to solve the diffusion term. Second, we solve the nonlinear term by using a closed form solution. Third, we apply a space-time-dependent Lagrange multiplier to conserve the total quantity. The overall scheme is explicit in time and does not need iterative steps; therefore, it is fast. A series of numerical experiments demonstrate the accuracy and efficiency of the proposed hybrid scheme. (C) 2017 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | IMAGE SEGMENTATION | - |
dc.subject | MOTION | - |
dc.title | A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.contributor.affiliatedAuthor | Yang, Seong-Deog | - |
dc.identifier.doi | 10.1016/j.jcp.2016.12.060 | - |
dc.identifier.scopusid | 2-s2.0-85009216256 | - |
dc.identifier.wosid | 000395210500010 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL PHYSICS, v.334, pp.170 - 181 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL PHYSICS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL PHYSICS | - |
dc.citation.volume | 334 | - |
dc.citation.startPage | 170 | - |
dc.citation.endPage | 181 | - |
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 | IMAGE SEGMENTATION | - |
dc.subject.keywordPlus | MOTION | - |
dc.subject.keywordAuthor | Conservative Allen-Cahn equation | - |
dc.subject.keywordAuthor | Narrow band domain | - |
dc.subject.keywordAuthor | Closest point method | - |
dc.subject.keywordAuthor | Space-time-dependent Lagrange multiplier | - |
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.