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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

On the numerical solution of a driven thin film equation

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dc.contributor.authorHa, Youngsooko
dc.contributor.authorKim, Yong Jungko
dc.contributor.authorMyers, Tim G.ko
dc.date.accessioned2008-06-30T02:03:07Z-
dc.date.available2008-06-30T02:03:07Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-07-
dc.identifier.citationJOURNAL OF COMPUTATIONAL PHYSICS, v.227, no.15, pp.7246 - 7263-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10203/5319-
dc.description.abstractThis paper is devoted to comparing numerical schemes for a differential equation with convection and fourth-order diffusion. Our model equation is u(t) + (u(2) - u(3))(x) = -(u(3)u(xxx))(x), which arises in the context of thin film flow. First we employ implicit schemes and treat both convection and diffusion terms implicitly. Then the convection terms are treated with well-known explicit schemes, namely Godunov, WENO and an upwind-type scheme, while the diffusion term is still treated implicitly. The diffusion and convection schemes are combined using a fractional step-splitting method. (c) 2008 Elsevier Inc. All rights reserved.-
dc.description.sponsorshipAcknowledgments: Authors would like to thank an anonymous referee. His suggestions improved this paper considerably. T.M. acknowledges the support of the Korean Advanced Institute of Science and Technology where this work was carried out. Y.J.K. was supported by the Korea Science and Engineering Foundation (KOSEF, No. R01-2007-000-11307-0).en
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectHYPERBOLIC CONSERVATION-LAWS-
dc.subjectPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subjectSHOCK-CAPTURING SCHEMES-
dc.subjectEFFICIENT IMPLEMENTATION-
dc.subjectUNDERCOMPRESSIVE SHOCKS-
dc.subjectSURFACE-
dc.subjectFLOW-
dc.subjectEVOLUTION-
dc.titleOn the numerical solution of a driven thin film equation-
dc.typeArticle-
dc.identifier.wosid000257871400012-
dc.identifier.scopusid2-s2.0-45449092536-
dc.type.rimsART-
dc.citation.volume227-
dc.citation.issue15-
dc.citation.beginningpage7246-
dc.citation.endingpage7263-
dc.citation.publicationnameJOURNAL OF COMPUTATIONAL PHYSICS-
dc.identifier.doi10.1016/j.jcp.2008.04.007-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKim, Yong Jung-
dc.contributor.nonIdAuthorHa, Youngsoo-
dc.contributor.nonIdAuthorMyers, Tim G.-
dc.type.journalArticleArticle-
dc.subject.keywordPlusHYPERBOLIC CONSERVATION-LAWS-
dc.subject.keywordPlusPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subject.keywordPlusSHOCK-CAPTURING SCHEMES-
dc.subject.keywordPlusEFFICIENT IMPLEMENTATION-
dc.subject.keywordPlusUNDERCOMPRESSIVE SHOCKS-
dc.subject.keywordPlusSURFACE-
dc.subject.keywordPlusFLOW-
dc.subject.keywordPlusEVOLUTION-
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