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Article: Generation of solitary waves by forward- and backward-step bottom forcing

TitleGeneration of solitary waves by forward- and backward-step bottom forcing
Authors
KeywordsEngineering
Hydraulic engineering physics
Issue Date2001
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal of Fluid Mechanics, 2001, v. 432 n. 1, p. 341-350 How to Cite?
Abstract
A finite difference method based on the Euler equations is developed for computing waves and wave resistance due to different bottom topographies moving steadily at the critical velocity in shallow water. A two-dimensional symmetric and slowly varying bottom topography, as a forcing for wave generation, can be viewed as a combination of fore and aft parts. For a positive topography (a bump), the fore part is a forward-step forcing, which contributes to the generation of upstream-advancing solitary waves, whereas the aft part is a backward-step forcing to which a depressed water surface region and a trailing wavetrain are attributed. These two wave systems respectively radiate upstream and downstream without mutual interaction. For a negative topography (a hollow), the fore part is a backward step and the aft part is a forward step. The downstream-radiating waves generated by the backwardstep forcing at the fore part will interact with the upstream-running waves generated by the forward-step forcing at the aft. Therefore, the wave system generated by a negative topography is quite different from that by a positive topography. The generation period of solitary waves is slightly longer and the instantaneous drag fluctuation is skewed for a negative topography. When the length of the negative topography increases, the oscillation of the wave-resistance coeffcient with time does not coincide with the period of solitary wave emission.
Persistent Identifierhttp://hdl.handle.net/10722/42135
ISSN
2013 Impact Factor: 2.294

 

DC FieldValueLanguage
dc.contributor.authorZhang, Den_HK
dc.contributor.authorChwang, ATYen_HK
dc.date.accessioned2007-01-08T02:29:57Z-
dc.date.available2007-01-08T02:29:57Z-
dc.date.issued2001en_HK
dc.identifier.citationJournal of Fluid Mechanics, 2001, v. 432 n. 1, p. 341-350en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42135-
dc.description.abstractA finite difference method based on the Euler equations is developed for computing waves and wave resistance due to different bottom topographies moving steadily at the critical velocity in shallow water. A two-dimensional symmetric and slowly varying bottom topography, as a forcing for wave generation, can be viewed as a combination of fore and aft parts. For a positive topography (a bump), the fore part is a forward-step forcing, which contributes to the generation of upstream-advancing solitary waves, whereas the aft part is a backward-step forcing to which a depressed water surface region and a trailing wavetrain are attributed. These two wave systems respectively radiate upstream and downstream without mutual interaction. For a negative topography (a hollow), the fore part is a backward step and the aft part is a forward step. The downstream-radiating waves generated by the backwardstep forcing at the fore part will interact with the upstream-running waves generated by the forward-step forcing at the aft. Therefore, the wave system generated by a negative topography is quite different from that by a positive topography. The generation period of solitary waves is slightly longer and the instantaneous drag fluctuation is skewed for a negative topography. When the length of the negative topography increases, the oscillation of the wave-resistance coeffcient with time does not coincide with the period of solitary wave emission.en_HK
dc.format.extent444824 bytes-
dc.format.extent3856 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
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.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectEngineeringen_HK
dc.subjectHydraulic engineering physicsen_HK
dc.titleGeneration of solitary waves by forward- and backward-step bottom forcingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1120&volume=432&issue=1&spage=341&epage=350&date=2001&atitle=Generation+of+solitary+waves+by+forward-+and+backward-step+bottom+forcingen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.scopuseid_2-s2.0-0035836717-
dc.identifier.hkuros58244-

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