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Article: Generation of solitary waves by forward- and backward-step bottom forcing
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TitleGeneration of solitary waves by forward- and backward-step bottom forcing
 
AuthorsZhang, D
Chwang, ATY
 
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
 
CitationJournal of Fluid Mechanics, 2001, v. 432 n. 1, p. 341-350 [How to Cite?]
 
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.
 
ISSN0022-1120
2012 Impact Factor: 2.183
2012 SCImago Journal Rankings: 1.551
 
DC FieldValue
dc.contributor.authorZhang, D
 
dc.contributor.authorChwang, ATY
 
dc.date.accessioned2007-01-08T02:29:57Z
 
dc.date.available2007-01-08T02:29:57Z
 
dc.date.issued2001
 
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.
 
dc.description.naturepublished_or_final_version
 
dc.format.extent444824 bytes
 
dc.format.extent3856 bytes
 
dc.format.mimetypeapplication/pdf
 
dc.format.mimetypetext/plain
 
dc.identifier.citationJournal of Fluid Mechanics, 2001, v. 432 n. 1, p. 341-350 [How to Cite?]
 
dc.identifier.hkuros58244
 
dc.identifier.issn0022-1120
2012 Impact Factor: 2.183
2012 SCImago Journal Rankings: 1.551
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-0035836717
 
dc.identifier.urihttp://hdl.handle.net/10722/42135
 
dc.languageeng
 
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
 
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectEngineering
 
dc.subjectHydraulic engineering physics
 
dc.titleGeneration of solitary waves by forward- and backward-step bottom forcing
 
dc.typeArticle
 
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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.</description.abstract>
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Author Affiliations
  1. The University of Hong Kong