A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Choi, Yongho | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-02T08:35:33Z | - |
dc.date.available | 2021-09-02T08:35:33Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2018-08 | - |
dc.identifier.issn | 1007-5704 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/74220 | - |
dc.description.abstract | This paper proposes a benchmark problem for the two-and three-dimensional Cahn-Hilliard (CH) equations, which describe the process of phase separation. The CH equation is highly nonlinear and an analytical solution does not exist except trivial solutions. Therefore, we have to approximate the CH equation numerically. To test the accuracy of a numerical scheme, we have to resort to convergence tests, which consist of consecutive relative errors or a very fine solution from the numerical scheme. For a fair convergence test, we provide benchmark problems which are of the shrinking annulus and spherical shell type. We show numerical results by using the explicit Euler's scheme with a very fine time step size and also present a comparison test with Eyre's convex splitting schemes. (C) 2018 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | ENERGY-MINIMIZING WAVELENGTHS | - |
dc.subject | FOURIER SPECTRAL METHOD | - |
dc.subject | PHASE FIELD MODELS | - |
dc.subject | DIBLOCK COPOLYMERS | - |
dc.subject | NUMERICAL-METHOD | - |
dc.subject | EQUILIBRIUM STATES | - |
dc.subject | DIFFERENCE SCHEME | - |
dc.subject | VARIABLE-MOBILITY | - |
dc.subject | TUMOR-GROWTH | - |
dc.subject | SEPARATION | - |
dc.title | A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choi, Yongho | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cnsns.2018.02.006 | - |
dc.identifier.scopusid | 2-s2.0-85042187778 | - |
dc.identifier.wosid | 000426955800010 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.61, pp.149 - 159 | - |
dc.relation.isPartOf | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | - |
dc.citation.title | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | - |
dc.citation.volume | 61 | - |
dc.citation.startPage | 149 | - |
dc.citation.endPage | 159 | - |
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 | ENERGY-MINIMIZING WAVELENGTHS | - |
dc.subject.keywordPlus | FOURIER SPECTRAL METHOD | - |
dc.subject.keywordPlus | PHASE FIELD MODELS | - |
dc.subject.keywordPlus | DIBLOCK COPOLYMERS | - |
dc.subject.keywordPlus | NUMERICAL-METHOD | - |
dc.subject.keywordPlus | EQUILIBRIUM STATES | - |
dc.subject.keywordPlus | DIFFERENCE SCHEME | - |
dc.subject.keywordPlus | VARIABLE-MOBILITY | - |
dc.subject.keywordPlus | TUMOR-GROWTH | - |
dc.subject.keywordPlus | SEPARATION | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Finite difference method | - |
dc.subject.keywordAuthor | Multigrid method | - |
dc.subject.keywordAuthor | Benchmark problem | - |
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