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Article: Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport

TitleWavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
Authors
Issue Date1997
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp
Citation
Journal Of Computational Physics, 1997, v. 133 n. 2, p. 235-255 How to Cite?
AbstractThis paper proposes some new wavenumber-extended high-or-der upwind-biased schemes. The dispersion and dissipation errors of upwind-biased finite-difference schemes are assessed and compared by means of a Fourier analysis of the difference schemes. Up to 11th-order upwind-biased schemes are analyzed. It is shown that both the upwind-biased scheme of order 2N - 1 and the corresponding centered differencing scheme of order 2N have the same dispersion characteristics; thus the former can be considered to be the latter plus a correction that reduces the numerical dissipation. The new second-order wavenumber-extended scheme istested and compared with some well-known schemes. The range of wavenumbers that are accurately treated by the upwind-biased schemes is improved by using additional constraints from the Fourier analysis to construct the new schemes. The anisotropic behavior of the dispersion and dissipation errors is also analyzed for both the conventional and the new wavenumber-extended upwind-biased finite-difference Schemes. © 1997 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/156475
ISSN
2015 Impact Factor: 2.556
2015 SCImago Journal Rankings: 2.167
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Yen_US
dc.date.accessioned2012-08-08T08:42:34Z-
dc.date.available2012-08-08T08:42:34Z-
dc.date.issued1997en_US
dc.identifier.citationJournal Of Computational Physics, 1997, v. 133 n. 2, p. 235-255en_US
dc.identifier.issn0021-9991en_US
dc.identifier.urihttp://hdl.handle.net/10722/156475-
dc.description.abstractThis paper proposes some new wavenumber-extended high-or-der upwind-biased schemes. The dispersion and dissipation errors of upwind-biased finite-difference schemes are assessed and compared by means of a Fourier analysis of the difference schemes. Up to 11th-order upwind-biased schemes are analyzed. It is shown that both the upwind-biased scheme of order 2N - 1 and the corresponding centered differencing scheme of order 2N have the same dispersion characteristics; thus the former can be considered to be the latter plus a correction that reduces the numerical dissipation. The new second-order wavenumber-extended scheme istested and compared with some well-known schemes. The range of wavenumbers that are accurately treated by the upwind-biased schemes is improved by using additional constraints from the Fourier analysis to construct the new schemes. The anisotropic behavior of the dispersion and dissipation errors is also analyzed for both the conventional and the new wavenumber-extended upwind-biased finite-difference Schemes. © 1997 Academic Press.en_US
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcpen_US
dc.relation.ispartofJournal of Computational Physicsen_US
dc.titleWavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transporten_US
dc.typeArticleen_US
dc.identifier.emailLi, Y:liyg@hkucc.hku.hken_US
dc.identifier.authorityLi, Y=rp00151en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0031570254en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031570254&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume133en_US
dc.identifier.issue2en_US
dc.identifier.spage235en_US
dc.identifier.epage255en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, Y=7502094052en_US

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