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Article: Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equation

TitleSteady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equation
Authors
KeywordsExtended korteweg-de vries equation
Negative polarity
Nonlinear terms
Steady solution
Stratified fluid
Issue Date2011
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2011, v. 23 n. 4 How to Cite?
AbstractTranscritical flow of a stratified fluid over an obstacle is often modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. However, in some special circumstances, it is necessary to add an additional cubic nonlinear term, so that the relevant model is the forced extended Korteweg-de Vries equation. Here we seek steady solutions with constant, but different amplitudes upstream and downstream of the forcing region. Our main interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are then investigated. © 2011 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/145664
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants CouncilHKU 7120/08E
University of Hong Kong Seed Funding Program for Basic Research200911159076
Funding Information:

Partial financial support has been provided by the Research Grants Council Contract No. HKU 7120/08E and the University of Hong Kong Seed Funding Program for Basic Research Grant No. 200911159076.

References

 

DC FieldValueLanguage
dc.contributor.authorEe, BKen_HK
dc.contributor.authorGrimshaw, RHJen_HK
dc.contributor.authorChow, KWen_HK
dc.contributor.authorZhang, DHen_HK
dc.date.accessioned2012-02-29T04:03:47Z-
dc.date.available2012-02-29T04:03:47Z-
dc.date.issued2011en_HK
dc.identifier.citationPhysics Of Fluids, 2011, v. 23 n. 4en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/145664-
dc.description.abstractTranscritical flow of a stratified fluid over an obstacle is often modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. However, in some special circumstances, it is necessary to add an additional cubic nonlinear term, so that the relevant model is the forced extended Korteweg-de Vries equation. Here we seek steady solutions with constant, but different amplitudes upstream and downstream of the forcing region. Our main interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are then investigated. © 2011 American Institute of Physics.en_HK
dc.languageeng-
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phfen_HK
dc.relation.ispartofPhysics of Fluidsen_HK
dc.rightsPhysics of Fluids. Copyright © American Institute of Physics.-
dc.rightsCopyright (2011) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in (Physics of Fluids, 2011, v. 23 n. 4, article no. 046602) and may be found at (http://pof.aip.org/resource/1/phfle6/v23/i4/p046602_s1).-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectExtended korteweg-de vries equation-
dc.subjectNegative polarity-
dc.subjectNonlinear terms-
dc.subjectSteady solution-
dc.subjectStratified fluid-
dc.titleSteady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equationen_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1063/1.3582523en_HK
dc.identifier.scopuseid_2-s2.0-79955424670en_HK
dc.identifier.hkuros185516-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79955424670&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume23en_HK
dc.identifier.issue4en_HK
dc.identifier.isiWOS:000290050000041-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridEe, BK=6603756114en_HK
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridZhang, DH=23112070200en_HK

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