DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chen, ZX | ko |
dc.contributor.author | Chou, SH | ko |
dc.contributor.author | Kwak, Do Young | ko |
dc.date.accessioned | 2010-12-13T07:56:24Z | - |
dc.date.available | 2010-12-13T07:56:24Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2006-11 | - |
dc.identifier.citation | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, v.13, no.9, pp.677 - 697 | - |
dc.identifier.issn | 1070-5325 | - |
dc.identifier.uri | http://hdl.handle.net/10203/20970 | - |
dc.description.abstract | Characteristic-mixed covolume methods for time-dependent advection-dominated diffusion problems are developed and studied. The diffusion term in these problems is discretized using covolume methods applied to the mixed formulation of the problems on quadrilaterals, and the temporal differentiation and advection terms are treated by characteristic tracking schemes. Three characteristic tracking schemes are studied in the context of mixed covolume methods: the modified method of characteristics, the modified method of characteristics with adjusted advection, and the Eulerian-Lagrangian localized adjoint method. The proposed methods preserve the conceptual and computational merits of both characteristics-based schemes and the mixed covolume methods. Existence and uniqueness of a solution to the discrete problem arising from the methods is shown. Stability and convergence properties of these methods are also obtained; unconditionally stable results and error estimates of optimal order are established. Copyright (C) 2006 John Wiley & Sons, Ltd. | - |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | JOHN WILEY & SONS LTD | - |
dc.subject | FINITE-ELEMENT METHODS | - |
dc.subject | NAVIER-STOKES EQUATIONS | - |
dc.subject | ELLIPTIC PROBLEMS | - |
dc.subject | VOLUME METHODS | - |
dc.subject | QUADRILATERAL GRIDS | - |
dc.subject | FRAMEWORK | - |
dc.title | Characteristic-mixed covolume methods for advection-dominated diffusion problems | - |
dc.type | Article | - |
dc.identifier.wosid | 000241957900002 | - |
dc.identifier.scopusid | 2-s2.0-33750712360 | - |
dc.type.rims | ART | - |
dc.citation.volume | 13 | - |
dc.citation.issue | 9 | - |
dc.citation.beginningpage | 677 | - |
dc.citation.endingpage | 697 | - |
dc.citation.publicationname | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | - |
dc.identifier.doi | 10.1002/nla.492 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kwak, Do Young | - |
dc.contributor.nonIdAuthor | Chen, ZX | - |
dc.contributor.nonIdAuthor | Chou, SH | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | characteristics-based method | - |
dc.subject.keywordAuthor | covolume method | - |
dc.subject.keywordAuthor | mixed finite element method | - |
dc.subject.keywordAuthor | finite element method | - |
dc.subject.keywordAuthor | control volume finite element method | - |
dc.subject.keywordAuthor | control volume method | - |
dc.subject.keywordAuthor | finite volume method | - |
dc.subject.keywordAuthor | advection-dominated diffusion problem | - |
dc.subject.keywordAuthor | stability | - |
dc.subject.keywordAuthor | convergence | - |
dc.subject.keywordAuthor | error estimate | - |
dc.subject.keywordPlus | FINITE-ELEMENT METHODS | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | VOLUME METHODS | - |
dc.subject.keywordPlus | QUADRILATERAL GRIDS | - |
dc.subject.keywordPlus | FRAMEWORK | - |
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