Benchmark Problems for the Numerical Discretization of the Cahn-Hilliard Equation with a Source Term
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yoon, Sungha | - |
dc.contributor.author | Lee, Hyun Geun | - |
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Park, Jintae | - |
dc.contributor.author | Kim, Sangkwon | - |
dc.contributor.author | Kim, Hyundong | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2022-04-13T03:41:42Z | - |
dc.date.available | 2022-04-13T03:41:42Z | - |
dc.date.created | 2022-04-12 | - |
dc.date.issued | 2021-12-06 | - |
dc.identifier.issn | 1026-0226 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/140197 | - |
dc.description.abstract | In this paper, we present benchmark problems for the numerical discretization of the Cahn-Hilliard equation with a source term. If the source term includes an isotropic growth term, then initially circular and spherical shapes should grow with their original shapes. However, there is numerical anisotropic error and this error results in anisotropic evolutions. Therefore, it is essential to use isotropic space discretization in the simulation of growth phenomenon such as tumor growth. To test numerical discretization, we present two benchmark problems: one is the growth of a disk or a sphere and the other is the growth of a rotated ellipse or a rotated ellipsoid. The computational results show that the standard discrete Laplace operator has severe grid orientation dependence. However, the isotropic discrete Laplace operator generates good results. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | HINDAWI LTD | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | SIMULATION | - |
dc.subject | ENERGY | - |
dc.subject | SEPARATION | - |
dc.subject | GALERKIN | - |
dc.subject | SCHEME | - |
dc.title | Benchmark Problems for the Numerical Discretization of the Cahn-Hilliard Equation with a Source Term | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1155/2021/1290895 | - |
dc.identifier.scopusid | 2-s2.0-85122308263 | - |
dc.identifier.wosid | 000770315700001 | - |
dc.identifier.bibliographicCitation | DISCRETE DYNAMICS IN NATURE AND SOCIETY, v.2021 | - |
dc.relation.isPartOf | DISCRETE DYNAMICS IN NATURE AND SOCIETY | - |
dc.citation.title | DISCRETE DYNAMICS IN NATURE AND SOCIETY | - |
dc.citation.volume | 2021 | - |
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.journalResearchArea | Science & Technology - Other Topics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Multidisciplinary Sciences | - |
dc.subject.keywordPlus | PHASE-FIELD MODEL | - |
dc.subject.keywordPlus | SIMULATION | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | SEPARATION | - |
dc.subject.keywordPlus | GALERKIN | - |
dc.subject.keywordPlus | SCHEME | - |
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.