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Article: Generation of solitary waves by transcritical flow over a step

TitleGeneration of solitary waves by transcritical flow over a step
Authors
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
Citation
Journal Of Fluid Mechanics, 2007, v. 587, p. 235-254 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/57194
ISSN
2014 Impact Factor: 2.383
2014 SCImago Journal Rankings: 1.162
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGrimshaw, RHJen_HK
dc.contributor.authorZhang, DHen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-04-12T01:29:07Z-
dc.date.available2010-04-12T01:29:07Z-
dc.date.issued2007en_HK
dc.identifier.citationJournal Of Fluid Mechanics, 2007, v. 587, p. 235-254en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/57194-
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.en_HK
dc.languageengen_HK
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLMen_HK
dc.relation.ispartofJournal of Fluid Mechanicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_HK
dc.subjectEngineeringen_HK
dc.subjectHydraulic engineering physicsen_HK
dc.titleGeneration of solitary waves by transcritical flow over a stepen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1120&volume=587&spage=235&epage=254&date=2007&atitle=Generation+of+solitary+waves+by+transcritical+flow+over+a+stepen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1017/S0022112007007355en_HK
dc.identifier.scopuseid_2-s2.0-37749037071en_HK
dc.identifier.hkuros143430-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-37749037071&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume587en_HK
dc.identifier.spage235en_HK
dc.identifier.epage254en_HK
dc.identifier.isiWOS:000250675300010-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_HK
dc.identifier.scopusauthoridZhang, DH=7405357048en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK

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