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Article: Generation of solitary waves by transcritical flow over a step
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TitleGeneration of solitary waves by transcritical flow over a step
 
AuthorsGrimshaw, RHJ2
Zhang, DH1
Chow, KW1
 
KeywordsEngineering
Hydraulic engineering physics
 
Issue Date2007
 
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
 
CitationJournal Of Fluid Mechanics, 2007, v. 587, p. 235-254 [How to Cite?]
DOI: http://dx.doi.org/10.1017/S0022112007007355
 
AbstractIt is well-known that transcritical flow over a localized obstacle generates upstream and downstream nonlinear wavetrains. The flow has been successfully modelled in the framework of the forced Korteweg - de Vries equation, where numerical and asymptotic analytical solutions have shown that the upstream and downstream nonlinear wavetrains have the structure of unsteady undular bores, connected by a locally steady solution over the obstacle, which is elevated on the upstream side and depressed on the downstream side. Inthispaper we consider the analogous transcritical flow over a step, primarily in the context of water waves. We use numerical and asymptotic analytical solutions of the forced Korteweg - de Vries equation, together with numerical solutions of the full Eulerequations, to demonstrate that a positive step generates only an upstream-propagating undular bore, and a negative step generates only a downstream-propagating undular bore. © 2007 Cambridge University Press.
 
ISSN0022-1120
2013 Impact Factor: 2.294
 
DOIhttp://dx.doi.org/10.1017/S0022112007007355
 
ISI Accession Number IDWOS:000250675300010
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorGrimshaw, RHJ
 
dc.contributor.authorZhang, DH
 
dc.contributor.authorChow, KW
 
dc.date.accessioned2010-04-12T01:29:07Z
 
dc.date.available2010-04-12T01:29:07Z
 
dc.date.issued2007
 
dc.description.abstractIt is well-known that transcritical flow over a localized obstacle generates upstream and downstream nonlinear wavetrains. The flow has been successfully modelled in the framework of the forced Korteweg - de Vries equation, where numerical and asymptotic analytical solutions have shown that the upstream and downstream nonlinear wavetrains have the structure of unsteady undular bores, connected by a locally steady solution over the obstacle, which is elevated on the upstream side and depressed on the downstream side. Inthispaper we consider the analogous transcritical flow over a step, primarily in the context of water waves. We use numerical and asymptotic analytical solutions of the forced Korteweg - de Vries equation, together with numerical solutions of the full Eulerequations, to demonstrate that a positive step generates only an upstream-propagating undular bore, and a negative step generates only a downstream-propagating undular bore. © 2007 Cambridge University Press.
 
dc.description.naturepublished_or_final_version
 
dc.identifier.citationJournal Of Fluid Mechanics, 2007, v. 587, p. 235-254 [How to Cite?]
DOI: http://dx.doi.org/10.1017/S0022112007007355
 
dc.identifier.doihttp://dx.doi.org/10.1017/S0022112007007355
 
dc.identifier.epage254
 
dc.identifier.hkuros143430
 
dc.identifier.isiWOS:000250675300010
 
dc.identifier.issn0022-1120
2013 Impact Factor: 2.294
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-37749037071
 
dc.identifier.spage235
 
dc.identifier.urihttp://hdl.handle.net/10722/57194
 
dc.identifier.volume587
 
dc.languageeng
 
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofJournal of Fluid Mechanics
 
dc.relation.referencesReferences in Scopus
 
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectEngineering
 
dc.subjectHydraulic engineering physics
 
dc.titleGeneration of solitary waves by transcritical flow over a step
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Loughborough University