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dc.contributor.authorKataoka, Takeshi
dc.contributor.authorAkylas, Triantaphyllos R.
dc.date.accessioned2024-01-23T20:33:56Z
dc.date.available2024-01-23T20:33:56Z
dc.date.issued2024-01-15
dc.identifier.urihttps://hdl.handle.net/1721.1/153402
dc.description.abstractThe radiation of steady surface gravity waves by a uniform stream $$U_{0}$$ U 0 over locally confined (width $$L$$ L ) smooth topography is analyzed based on potential flow theory. The linear solution to this classical problem is readily found by Fourier transforms, and the nonlinear response has been studied extensively by numerical methods. Here, an asymptotic analysis is made for subcritical flow $$D/\lambda > 1$$ D / λ > 1 in the low-Froude-number ( $$F^{2} \equiv \lambda /L \ll 1$$ F 2 ≡ λ / L ≪ 1 ) limit, where $$\lambda = U_{0}^{2} /g$$ λ = U 0 2 / g is the lengthscale of radiating gravity waves and $$D$$ D is the uniform water depth. In this regime, the downstream wave amplitude, although formally exponentially small with respect to $$F$$ F , is determined by a fully nonlinear mechanism even for small topography amplitude. It is argued that this mechanism controls the wave response for a broad range of flow conditions, in contrast to linear theory which has very limited validity.en_US
dc.publisherSpringer International Publishingen_US
dc.relation.isversionofhttps://doi.org/10.1007/s42286-023-00081-zen_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.sourceSpringer International Publishingen_US
dc.titleSteady Radiating Gravity waves: An Exponential Asymptotics Approachen_US
dc.typeArticleen_US
dc.identifier.citationKataoka, T., Akylas, T.R. Steady Radiating Gravity waves: An Exponential Asymptotics Approach. Water Waves (2024).en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineering
dc.relation.journalWater Wavesen_US
dc.identifier.mitlicensePUBLISHER_CC
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2024-01-21T04:22:19Z
dc.language.rfc3066en
dc.rights.holderThe Author(s)
dspace.embargo.termsN
dspace.date.submission2024-01-21T04:22:19Z
mit.journal.volume2024en_US
mit.licensePUBLISHER_CC
mit.metadata.statusAuthority Work and Publication Information Neededen_US


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