An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Junxiang | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-08-30T18:03:35Z | - |
dc.date.available | 2021-08-30T18:03:35Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2020-08 | - |
dc.identifier.issn | 1007-5704 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/53860 | - |
dc.description.abstract | In this paper, we develop an unconditionally stable linear numerical scheme for the N-component Cahn-Hilliard system with second-order accuracy in time and space. The proposed scheme is modified from the Crank-Nicolson finite difference scheme and adopts the idea of a stabilized method. Nonlinear multigird algorithm with Gauss-Seidel-type iteration is used to solve the resulting discrete system. We theoretically prove that the proposed scheme is unconditionally stable for the whole system. The numerical solutions show that the larger time steps can be used and the second-order accuracy is obtained in time and space; and they are consistent with the results of linear stability analysis. We investigate the evolutions of triple junction and spinodal decomposition in a quaternary mixture. Moreover, the proposed scheme can be modified to solve the binary spinodal decomposition in complex domains and multi-component fluid flows. (c) 2020 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER | - |
dc.subject | PHASE-FIELD MODELS | - |
dc.subject | FINITE-ELEMENT-METHOD | - |
dc.subject | NUMERICAL APPROXIMATIONS | - |
dc.subject | ENERGY | - |
dc.subject | SCHEMES | - |
dc.subject | FLOWS | - |
dc.title | An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cnsns.2020.105276 | - |
dc.identifier.scopusid | 2-s2.0-85082812603 | - |
dc.identifier.wosid | 000552797800001 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.87 | - |
dc.relation.isPartOf | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | - |
dc.citation.title | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | - |
dc.citation.volume | 87 | - |
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 | Mechanics | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Physics, Fluids & Plasmas | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | PHASE-FIELD MODELS | - |
dc.subject.keywordPlus | FINITE-ELEMENT-METHOD | - |
dc.subject.keywordPlus | NUMERICAL APPROXIMATIONS | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | SCHEMES | - |
dc.subject.keywordPlus | FLOWS | - |
dc.subject.keywordAuthor | Systems of Cahn-Hilliard equations | - |
dc.subject.keywordAuthor | second-order accuracy | - |
dc.subject.keywordAuthor | unconditionally stable scheme | - |
dc.subject.keywordAuthor | finite difference method | - |
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.