dc.contributor.author | Kataoka, Takeshi | |
dc.contributor.author | Akylas, Triantaphyllos R. | |
dc.date.accessioned | 2024-01-23T20:33:56Z | |
dc.date.available | 2024-01-23T20:33:56Z | |
dc.date.issued | 2024-01-15 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/153402 | |
dc.description.abstract | The 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.publisher | Springer International Publishing | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s42286-023-00081-z | en_US |
dc.rights | Creative Commons Attribution | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.source | Springer International Publishing | en_US |
dc.title | Steady Radiating Gravity waves: An Exponential Asymptotics Approach | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Kataoka, T., Akylas, T.R. Steady Radiating Gravity waves: An Exponential Asymptotics Approach. Water Waves (2024). | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mechanical Engineering | |
dc.relation.journal | Water Waves | en_US |
dc.identifier.mitlicense | PUBLISHER_CC | |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2024-01-21T04:22:19Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | The Author(s) | |
dspace.embargo.terms | N | |
dspace.date.submission | 2024-01-21T04:22:19Z | |
mit.journal.volume | 2024 | en_US |
mit.license | PUBLISHER_CC | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |