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

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Title	Generation of solitary waves by forward- and backward-step bottom forcing
Authors	Zhang, D Chwang, ATY
Keywords	Engineering Hydraulic engineering physics
Issue Date	2001
Publisher	Cambridge 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.
ISSN	0022-1120 2011 Impact Factor: 2.459 2011 SCImago Journal Rankings: 0.139

DC Field	Value
dc.contributor.author	Zhang, D
dc.contributor.author	Chwang, ATY
dc.date.accessioned	2007-01-08T02:29:57Z
dc.date.available	2007-01-08T02:29:57Z
dc.date.issued	2001
dc.description.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.
dc.description.nature	published_or_final_version
dc.format.extent	444824 bytes
dc.format.extent	3856 bytes
dc.format.mimetype	application/pdf
dc.format.mimetype	text/plain
dc.identifier.citation	Journal of Fluid Mechanics, 2001, v. 432 n. 1, p. 341-350 [How to Cite?]
dc.identifier.hkuros	58244
dc.identifier.issn	0022-1120 2011 Impact Factor: 2.459 2011 SCImago Journal Rankings: 0.139
dc.identifier.openurl
dc.identifier.scopus	eid_2-s2.0-0035836717
dc.identifier.uri	http://hdl.handle.net/10722/42135
dc.language	eng
dc.publisher	Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
dc.rights	Journal of Fluid Mechanics. Copyright © Cambridge University Press.
dc.rights	Creative Commons: Attribution 3.0 Hong Kong License
dc.subject	Engineering
dc.subject	Hydraulic engineering physics
dc.title	Generation of solitary waves by forward- and backward-step bottom forcing
dc.type	Article

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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><format.extent>444824 bytes</format.extent><format.extent>3856 bytes</format.extent><format.mimetype>application/pdf</format.mimetype><format.mimetype>text/plain</format.mimetype><language>eng</language><publisher>Cambridge University Press. The Journal&apos;s web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM</publisher><rights>Journal of Fluid Mechanics. Copyright &#169; Cambridge University Press.</rights><rights>Creative Commons: Attribution 3.0 Hong Kong License</rights><subject>Engineering</subject><subject>Hydraulic engineering physics</subject><title>Generation of solitary waves by forward- and backward-step bottom forcing</title><type>Article</type><identifier.openurl>http://library.hku.hk:4550/resserv?sid=HKU:IR&amp;issn=0022-1120&amp;volume=432&amp;issue=1&amp;spage=341&amp;epage=350&amp;date=2001&amp;atitle=Generation+of+solitary+waves+by+forward-+and+backward-step+bottom+forcing</identifier.openurl><description.nature>published_or_final_version</description.nature><identifier.scopus>eid_2-s2.0-0035836717</identifier.scopus><identifier.hkuros>58244</identifier.hkuros><bitstream.url>http://hub.hku.hk/bitstream/10722/42135/1/58244.pdf</bitstream.url></item>

Author Affiliations

The University of Hong Kong