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Article: Implementation of some higher-order convection schemes on non-uniform grids

TitleImplementation of some higher-order convection schemes on non-uniform grids
Authors
Issue Date1995
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2861
Citation
International Journal For Numerical Methods In Fluids, 1995, v. 21 n. 12, p. 1201-1220 How to Cite?
AbstractA generalized formulation is applied to implement the quadratic upstream interpolation (QUICK) scheme, the second-order upwind (SOU) scheme and the second-order hybrid scheme (SHYBRID) on non-uniform grids. The implementation method is simple. The accuracy and efficiency of these higher-order schemes on non-uniform grids are assessed. Three well-known bench mark convection-diffusion problems and a fluid flow problem are revisited using non-uniform grids. These are: (1) transport of a scalar tracer by a uniform velocity field; (2) heat transport in a recirculating flow; (3) two-dimensional non-linear Burgers equations; and (4) a two-dimensional incompressible Navier-Stokes flow which is similar to the classical lid-driven cavity flow. The known exact solutions of the last three problems make it possible to thoroughly evaluate accuracies of various uniform and non-uniform grids. Higher accuracy is obtained for fewer grid points on non-uniform grids. (from Authors)
Persistent Identifierhttp://hdl.handle.net/10722/156416
ISSN
2015 Impact Factor: 1.447
2015 SCImago Journal Rankings: 1.146

 

DC FieldValueLanguage
dc.contributor.authorYuguo Lien_US
dc.contributor.authorBaldacchino, Len_US
dc.date.accessioned2012-08-08T08:42:20Z-
dc.date.available2012-08-08T08:42:20Z-
dc.date.issued1995en_US
dc.identifier.citationInternational Journal For Numerical Methods In Fluids, 1995, v. 21 n. 12, p. 1201-1220en_US
dc.identifier.issn0271-2091en_US
dc.identifier.urihttp://hdl.handle.net/10722/156416-
dc.description.abstractA generalized formulation is applied to implement the quadratic upstream interpolation (QUICK) scheme, the second-order upwind (SOU) scheme and the second-order hybrid scheme (SHYBRID) on non-uniform grids. The implementation method is simple. The accuracy and efficiency of these higher-order schemes on non-uniform grids are assessed. Three well-known bench mark convection-diffusion problems and a fluid flow problem are revisited using non-uniform grids. These are: (1) transport of a scalar tracer by a uniform velocity field; (2) heat transport in a recirculating flow; (3) two-dimensional non-linear Burgers equations; and (4) a two-dimensional incompressible Navier-Stokes flow which is similar to the classical lid-driven cavity flow. The known exact solutions of the last three problems make it possible to thoroughly evaluate accuracies of various uniform and non-uniform grids. Higher accuracy is obtained for fewer grid points on non-uniform grids. (from Authors)en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/2861en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Fluidsen_US
dc.titleImplementation of some higher-order convection schemes on non-uniform gridsen_US
dc.typeArticleen_US
dc.identifier.emailYuguo Li:liyg@hkucc.hku.hken_US
dc.identifier.authorityYuguo Li=rp00151en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0029135650en_US
dc.identifier.volume21en_US
dc.identifier.issue12en_US
dc.identifier.spage1201en_US
dc.identifier.epage1220en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridYuguo Li=7502094052en_US
dc.identifier.scopusauthoridBaldacchino, L=6504168980en_US

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