A study of a numerical solution of the steady two dimensions Navier-Stokes equations in a constricted channel problem by a compact fourth order method

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dc.contributor.authorMancera, PFA
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:47:46Z
dc.date.available2014-05-20T13:47:46Z
dc.date.issued2003-12-31
dc.description.abstractWe present a numerical solution for the steady 2D Navier-Stokes equations using a fourth order compact-type method. The geometry of the problem is a constricted symmetric channel, where the boundary can be varied, via a parameter, from a smooth constriction to one possessing a very sharp but smooth corner allowing us to analyse the behaviour of the errors when the solution is smooth or near singular. The set of non-linear equations is solved by the Newton method. Results have been obtained for Reynolds number up to 500. Estimates of the errors incurred have shown that the results are accurate and better than those of the corresponding second order method. (C) 2002 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista Julio Mesquita Filho, Dept Biostat, Inst Biociencias, BR-18618000 Botucatu, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista Julio Mesquita Filho, Dept Biostat, Inst Biociencias, BR-18618000 Botucatu, SP, Brazil
dc.format.extent771-790
dc.identifierhttp://dx.doi.org/10.1016/S0096-3003(02)00630-6
dc.identifier.citationApplied Mathematics and Computation. New York: Elsevier B.V., v. 146, n. 2-3, p. 771-790, 2003.
dc.identifier.doi10.1016/S0096-3003(02)00630-6
dc.identifier.issn0096-3003
dc.identifier.lattes8232289412108723
dc.identifier.orcid0000-0002-2080-8053
dc.identifier.urihttp://hdl.handle.net/11449/17029
dc.identifier.wosWOS:000185908500036
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectsteady 2D Navier-Stokes equationspt
dc.subjecthigh order methodspt
dc.subjectcompact methodspt
dc.subjectstreamfunction vorticity formulationpt
dc.subjectincompressible flowpt
dc.subjectlaminar flowpt
dc.titleA study of a numerical solution of the steady two dimensions Navier-Stokes equations in a constricted channel problem by a compact fourth order methoden
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes8232289412108723
unesp.author.orcid0000-0002-2080-8053
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Botucatupt

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