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Article: Assessment of higher-order upwind schemes incorporating FCT for convection-dominated problems

TitleAssessment of higher-order upwind schemes incorporating FCT for convection-dominated problems
Authors
Issue Date1995
PublisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/10407790.asp
Citation
Numerical Heat Transfer, Part B: Fundamentals, 1995, v. 27 n. 1, p. 1-21 How to Cite?
AbstractA new generalized formulation is suggested for four-point discretization schemes on nonuniform grids. The central difference scheme, the QUICK scheme, and the second-order upwind scheme fall into this formulation. A second-order hybrid scheme is also presented on nonuniform grids. The unbounded behavior of the generalized formulation is examined. A flux-corrected transport algorithm is then applied to the above four schemes on a uniform grid. Four two-dimensional convection-dominated problems are used to test the schemes. Incorporation of flux-corrected transport (FCT) into the high-order schemes improves the solution accuracy greatly. The unmodified multidimensional FCT limiter is found to be unable to completely suppress the small-scale oscillation of a velocity component which has discontinuities in a direction normal to the advection.
Persistent Identifierhttp://hdl.handle.net/10722/156419
ISSN
2015 Impact Factor: 1.33
2015 SCImago Journal Rankings: 0.732

 

DC FieldValueLanguage
dc.contributor.authorLi, Yuguoen_US
dc.contributor.authorRudman, Murrayen_US
dc.date.accessioned2012-08-08T08:42:21Z-
dc.date.available2012-08-08T08:42:21Z-
dc.date.issued1995en_US
dc.identifier.citationNumerical Heat Transfer, Part B: Fundamentals, 1995, v. 27 n. 1, p. 1-21en_US
dc.identifier.issn1040-7790en_US
dc.identifier.urihttp://hdl.handle.net/10722/156419-
dc.description.abstractA new generalized formulation is suggested for four-point discretization schemes on nonuniform grids. The central difference scheme, the QUICK scheme, and the second-order upwind scheme fall into this formulation. A second-order hybrid scheme is also presented on nonuniform grids. The unbounded behavior of the generalized formulation is examined. A flux-corrected transport algorithm is then applied to the above four schemes on a uniform grid. Four two-dimensional convection-dominated problems are used to test the schemes. Incorporation of flux-corrected transport (FCT) into the high-order schemes improves the solution accuracy greatly. The unmodified multidimensional FCT limiter is found to be unable to completely suppress the small-scale oscillation of a velocity component which has discontinuities in a direction normal to the advection.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/10407790.aspen_US
dc.relation.ispartofNumerical Heat Transfer, Part B: Fundamentalsen_US
dc.titleAssessment of higher-order upwind schemes incorporating FCT for convection-dominated problemsen_US
dc.typeArticleen_US
dc.identifier.emailLi, Yuguo:liyg@hkucc.hku.hken_US
dc.identifier.authorityLi, Yuguo=rp00151en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0029210521en_US
dc.identifier.volume27en_US
dc.identifier.issue1en_US
dc.identifier.spage1en_US
dc.identifier.epage21en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, Yuguo=7502094052en_US
dc.identifier.scopusauthoridRudman, Murray=7004524067en_US

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