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Article: Free surface waves on shear currents with non-uniform vorticity: Third-order solutions

TitleFree surface waves on shear currents with non-uniform vorticity: Third-order solutions
Authors
Issue Date2009
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdr
Citation
Fluid Dynamics Research, 2009, v. 41 n. 3 How to Cite?
AbstractFree surface waves of moderate amplitude on a fluid endowed with vorticity are calculated by computer-assisted perturbation expansions. Solitary waves are generated by deriving the nonlinear evolution equation (NEE) for the free surface displacement. Another recursive iteration procedure is then performed on the NEE. Properties obtained from second- and third-order expansions are computed explicitly for the case of a linear shear profile, or uniform vorticity distribution. Comparisons with known results in the literature show excellent agreement for small amplitude waves. Applications to non-uniform vorticity distributions are feasible and valuable, as existing methods will generally fail for nonlinear shear currents. Algebraic shear profiles U(y) = aym (a = a constant, m not necessarily an integer) are tested, and backward modes display peculiar properties. Examples include a non-monotonic trend in the half-width of solitary waves and a local maximum in the velocity of the wave. © 2009 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/157006
ISSN
2015 Impact Factor: 0.846
2015 SCImago Journal Rankings: 0.463
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorPak, OSen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:44:55Z-
dc.date.available2012-08-08T08:44:55Z-
dc.date.issued2009en_US
dc.identifier.citationFluid Dynamics Research, 2009, v. 41 n. 3en_US
dc.identifier.issn0169-5983en_US
dc.identifier.urihttp://hdl.handle.net/10722/157006-
dc.description.abstractFree surface waves of moderate amplitude on a fluid endowed with vorticity are calculated by computer-assisted perturbation expansions. Solitary waves are generated by deriving the nonlinear evolution equation (NEE) for the free surface displacement. Another recursive iteration procedure is then performed on the NEE. Properties obtained from second- and third-order expansions are computed explicitly for the case of a linear shear profile, or uniform vorticity distribution. Comparisons with known results in the literature show excellent agreement for small amplitude waves. Applications to non-uniform vorticity distributions are feasible and valuable, as existing methods will generally fail for nonlinear shear currents. Algebraic shear profiles U(y) = aym (a = a constant, m not necessarily an integer) are tested, and backward modes display peculiar properties. Examples include a non-monotonic trend in the half-width of solitary waves and a local maximum in the velocity of the wave. © 2009 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.en_US
dc.languageengen_US
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdren_US
dc.relation.ispartofFluid Dynamics Researchen_US
dc.rightsFluid Dynamics Research. Copyright © Elsevier BV.-
dc.titleFree surface waves on shear currents with non-uniform vorticity: Third-order solutionsen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1088/0169-5983/41/3/035511en_US
dc.identifier.scopuseid_2-s2.0-66149095897en_US
dc.identifier.hkuros156672-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-66149095897&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume41en_US
dc.identifier.issue3en_US
dc.identifier.isiWOS:000270658600013-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridPak, OS=26635646800en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US

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