A conservative finite difference scheme for the N-component Cahn-Hilliard system on curved surfaces in 3D
DC Field | Value | Language |
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dc.contributor.author | Yang, Junxiang | - |
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-08-31T22:46:41Z | - |
dc.date.available | 2021-08-31T22:46:41Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-12 | - |
dc.identifier.issn | 0022-0833 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/61414 | - |
dc.description.abstract | This paper presents a conservative finite difference scheme for solving the N-component Cahn-Hilliard (CH) system on curved surfaces in three-dimensional (3D) space. Inspired by the closest point method (Macdonald and Ruuth, SIAM J Sci Comput 31(6):4330-4350, 2019), we use the standard seven-point finite difference discretization for the Laplacian operator instead of the Laplacian-Beltrami operator. We only need to independently solve (N-) CH equations in a narrow band domain around the surface because the solution for the Nth component can be obtained directly. The N-component CH system is discretized using an unconditionally stable nonlinear splitting numerical scheme, and it is solved by using a Jacobi-type iteration. Several numerical tests are performed to demonstrate the capability of the proposed numerical scheme. The proposed multicomponent model can be simply modified to simulate phase separation in a complex domain on 3D surfaces. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.subject | DIRECT DISCRETIZATION METHOD | - |
dc.subject | NUMERICAL-SOLUTION | - |
dc.subject | PHASE-SEPARATION | - |
dc.subject | TUMOR-GROWTH | - |
dc.subject | EQUATION | - |
dc.subject | CAPILLARY | - |
dc.subject | DYNAMICS | - |
dc.subject | MODEL | - |
dc.subject | FLOW | - |
dc.title | A conservative finite difference scheme for the N-component Cahn-Hilliard system on curved surfaces in 3D | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1007/s10665-019-10023-9 | - |
dc.identifier.scopusid | 2-s2.0-85074862832 | - |
dc.identifier.wosid | 000495028200001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF ENGINEERING MATHEMATICS, v.119, no.1, pp.149 - 166 | - |
dc.relation.isPartOf | JOURNAL OF ENGINEERING MATHEMATICS | - |
dc.citation.title | JOURNAL OF ENGINEERING MATHEMATICS | - |
dc.citation.volume | 119 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 149 | - |
dc.citation.endPage | 166 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Engineering, Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.subject.keywordPlus | DIRECT DISCRETIZATION METHOD | - |
dc.subject.keywordPlus | NUMERICAL-SOLUTION | - |
dc.subject.keywordPlus | PHASE-SEPARATION | - |
dc.subject.keywordPlus | TUMOR-GROWTH | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordPlus | CAPILLARY | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | FLOW | - |
dc.subject.keywordAuthor | Closest point method | - |
dc.subject.keywordAuthor | Conservative scheme | - |
dc.subject.keywordAuthor | N-component Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Narrow band domain | - |
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