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Article: Transcritical flow over a hole

TitleTranscritical flow over a hole
Authors
Issue Date2009
PublisherBlackwell Publishing, Inc. The Journal's web site is located at http://www.blackwellpublishing.com/journals/SAPM
Citation
Studies In Applied Mathematics, 2009, v. 122 n. 3, p. 235-248 How to Cite?
AbstractTranscritical flow over a localized obstacle generates upstream and downstream nonlinear wavetrains. In the weakly nonlinear long-wave regime, this flow has been modeled with the forced Korteweg-de Vries (fKdV) equation, where numerical simulations and asymptotic solutions have demonstrated that the upstream and downstream nonlinear wavetrains have the structure of unsteady undular bores, connected by a locally steady solution over the obstacle. Further, it has been shown that when the obstacle is replaced by a step of semi-infinite length, it is found that a positive step generates only an upstream-propagating undular bore, and a negative step generates only a downstream-propagating undular bore. This result suggests that for flow over a hole, that is a step down followed by a step up, the two wavetrains generated will interact over the hole. In this paper, this situation is explored by numerical simulations of the fKdV equation. © 2009 by the Massachusetts Institute of Technology.
Persistent Identifierhttp://hdl.handle.net/10722/157002
ISSN
2015 Impact Factor: 1.364
2015 SCImago Journal Rankings: 0.739
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants CouncilHKU 711807E
HKU 712008E
Funding Information:

Partial financial support has been provided by the Research Grants Council through contracts HKU 711807E and HKU 712008E.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorGrimshaw, RHJen_US
dc.contributor.authorZhang, DHen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:44:53Z-
dc.date.available2012-08-08T08:44:53Z-
dc.date.issued2009en_US
dc.identifier.citationStudies In Applied Mathematics, 2009, v. 122 n. 3, p. 235-248en_US
dc.identifier.issn0022-2526en_US
dc.identifier.urihttp://hdl.handle.net/10722/157002-
dc.description.abstractTranscritical flow over a localized obstacle generates upstream and downstream nonlinear wavetrains. In the weakly nonlinear long-wave regime, this flow has been modeled with the forced Korteweg-de Vries (fKdV) equation, where numerical simulations and asymptotic solutions have demonstrated that the upstream and downstream nonlinear wavetrains have the structure of unsteady undular bores, connected by a locally steady solution over the obstacle. Further, it has been shown that when the obstacle is replaced by a step of semi-infinite length, it is found that a positive step generates only an upstream-propagating undular bore, and a negative step generates only a downstream-propagating undular bore. This result suggests that for flow over a hole, that is a step down followed by a step up, the two wavetrains generated will interact over the hole. In this paper, this situation is explored by numerical simulations of the fKdV equation. © 2009 by the Massachusetts Institute of Technology.en_US
dc.languageengen_US
dc.publisherBlackwell Publishing, Inc. The Journal's web site is located at http://www.blackwellpublishing.com/journals/SAPMen_US
dc.relation.ispartofStudies in Applied Mathematicsen_US
dc.titleTranscritical flow over a holeen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1111/j.1467-9590.2009.00431.xen_US
dc.identifier.scopuseid_2-s2.0-63849089995en_US
dc.identifier.hkuros156674-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63849089995&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume122en_US
dc.identifier.issue3en_US
dc.identifier.spage235en_US
dc.identifier.epage248en_US
dc.identifier.isiWOS:000264819400002-
dc.publisher.placeUnited Statesen_US
dc.relation.projectWave propagation in non-uniform media: Effects of amplification / attenuation and marginal stability-
dc.relation.projectThe nonlinear Schr\x94dinger models with novel nonlinearities: their applications in capillarity and physics of optical fibers-
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_US
dc.identifier.scopusauthoridZhang, DH=7405357048en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.citeulike4272990-

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