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Article: Transcritical flow of a stratified fluid: The forced extended Korteweg-de Vries model

TitleTranscritical flow of a stratified fluid: The forced extended Korteweg-de Vries model
Authors
KeywordsPhysics
Issue Date2002
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2002, v. 14 n. 2, p. 755-774 How to Cite?
AbstractTranscritical, or resonant, flow of a stratified fluid over an obstacle is studied using a forced extended Korteweg-de Vries model. This model is particularly relevant for a two-layer fluid when the layer depths are near critical, but can also be useful in other similar circumstances. Both quadratic and cubic nonlinearities are present and they are balanced by third-order dispersion. We consider both possible signs for the cubic nonlinear term but emphasize the less-studied case when the cubic nonlinear term and the dispersion term have the same-signed coefficients. In this case, our numerical computations show that two kinds of solitary waves are found in certain parameter regimes. One kind is similar to those of the well-known forced Korteweg-de Vries model and occurs when the cubic nonlinear term is rather small, while the other kind is irregularly generated waves of variable amplitude, which may continually interact. To explain this phenomenon, we develop a hydraulic theory in which the dispersion term in the model is omitted. This theory can predict the occurence of upstream and downstream undular bores, and these predictions are found to agree quite well with the numerical computations. © 2002 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/43038
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGrimshaw, RHJen_HK
dc.contributor.authorChan, KHen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2007-03-23T04:37:24Z-
dc.date.available2007-03-23T04:37:24Z-
dc.date.issued2002en_HK
dc.identifier.citationPhysics Of Fluids, 2002, v. 14 n. 2, p. 755-774en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43038-
dc.description.abstractTranscritical, or resonant, flow of a stratified fluid over an obstacle is studied using a forced extended Korteweg-de Vries model. This model is particularly relevant for a two-layer fluid when the layer depths are near critical, but can also be useful in other similar circumstances. Both quadratic and cubic nonlinearities are present and they are balanced by third-order dispersion. We consider both possible signs for the cubic nonlinear term but emphasize the less-studied case when the cubic nonlinear term and the dispersion term have the same-signed coefficients. In this case, our numerical computations show that two kinds of solitary waves are found in certain parameter regimes. One kind is similar to those of the well-known forced Korteweg-de Vries model and occurs when the cubic nonlinear term is rather small, while the other kind is irregularly generated waves of variable amplitude, which may continually interact. To explain this phenomenon, we develop a hydraulic theory in which the dispersion term in the model is omitted. This theory can predict the occurence of upstream and downstream undular bores, and these predictions are found to agree quite well with the numerical computations. © 2002 American Institute of Physics.en_HK
dc.format.extent977424 bytes-
dc.format.extent26624 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectPhysicsen_HK
dc.titleTranscritical flow of a stratified fluid: The forced extended Korteweg-de Vries modelen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=14&issue=2&spage=755&epage=774&date=2002&atitle=Transcritical+flow+of+a+stratified+fluid:+The+forced+extended+Korteweg–de+Vries+modelen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1063/1.1429962en_HK
dc.identifier.scopuseid_2-s2.0-0036470511en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036470511&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume14en_HK
dc.identifier.issue2en_HK
dc.identifier.spage755en_HK
dc.identifier.epage774en_HK
dc.identifier.isiWOS:000173316900029-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_HK
dc.identifier.scopusauthoridChan, KH=7406034305en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK

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