Experimental generation of axisymmetric internal wave super-harmonics
In this paper, we present an experimental study of weakly nonlinear interaction of axisymmetric internal gravity waves in a resonant cavity, supported by theoretical considerations. Contrary to plane waves in Cartesian coordinates, for which self-interacting terms are null in a linear stratificati...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2022
|
| Online Access: | https://hdl.handle.net/1721.1/138888.2 |
| _version_ | 1811070513341005824 |
|---|---|
| author | Boury, S Peacock, T Odier, P |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Boury, S Peacock, T Odier, P |
| author_sort | Boury, S |
| collection | MIT |
| description | In this paper, we present an experimental study of weakly nonlinear interaction of
axisymmetric internal gravity waves in a resonant cavity, supported by theoretical considerations. Contrary to plane waves in Cartesian coordinates, for which self-interacting
terms are null in a linear stratification, the nonlinear self-interaction of an internal wave
mode in axisymmetric geometry is found to be efficient at producing super-harmonics,
i.e., waves whose frequencies are integer multiples of the excitation frequency. Due to the
range of frequencies tested in our experiments, the first harmonic frequency is below the
cutoff imposed by the stratification so the lowest harmonic created can always propagate.
The study shows that the super-harmonic wave field is a sum of standing waves satisfying
both the dispersion relation for internal waves and the boundary conditions imposed by the
cavity walls, while conserving the axisymmetry |
| first_indexed | 2024-09-23T08:37:14Z |
| format | Article |
| id | mit-1721.1/138888.2 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:37:14Z |
| publishDate | 2022 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/138888.22024-03-22T20:06:21Z Experimental generation of axisymmetric internal wave super-harmonics Boury, S Peacock, T Odier, P Massachusetts Institute of Technology. Department of Mechanical Engineering In this paper, we present an experimental study of weakly nonlinear interaction of axisymmetric internal gravity waves in a resonant cavity, supported by theoretical considerations. Contrary to plane waves in Cartesian coordinates, for which self-interacting terms are null in a linear stratification, the nonlinear self-interaction of an internal wave mode in axisymmetric geometry is found to be efficient at producing super-harmonics, i.e., waves whose frequencies are integer multiples of the excitation frequency. Due to the range of frequencies tested in our experiments, the first harmonic frequency is below the cutoff imposed by the stratification so the lowest harmonic created can always propagate. The study shows that the super-harmonic wave field is a sum of standing waves satisfying both the dispersion relation for internal waves and the boundary conditions imposed by the cavity walls, while conserving the axisymmetry 2022-02-01T19:47:17Z 2022-01-11T19:34:24Z 2022-02-01T19:47:17Z 2021-06 2020-12 2022-01-11T19:05:48Z Article http://purl.org/eprint/type/JournalArticle 2469-990X https://hdl.handle.net/1721.1/138888.2 Boury, S, Peacock, T and Odier, P. 2021. "Experimental generation of axisymmetric internal wave super-harmonics." Physical Review Fluids, 6 (6). en http://dx.doi.org/10.1103/PHYSREVFLUIDS.6.064801 Physical Review Fluids Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/octet-stream American Physical Society (APS) APS |
| spellingShingle | Boury, S Peacock, T Odier, P Experimental generation of axisymmetric internal wave super-harmonics |
| title | Experimental generation of axisymmetric internal wave super-harmonics |
| title_full | Experimental generation of axisymmetric internal wave super-harmonics |
| title_fullStr | Experimental generation of axisymmetric internal wave super-harmonics |
| title_full_unstemmed | Experimental generation of axisymmetric internal wave super-harmonics |
| title_short | Experimental generation of axisymmetric internal wave super-harmonics |
| title_sort | experimental generation of axisymmetric internal wave super harmonics |
| url | https://hdl.handle.net/1721.1/138888.2 |
| work_keys_str_mv | AT bourys experimentalgenerationofaxisymmetricinternalwavesuperharmonics AT peacockt experimentalgenerationofaxisymmetricinternalwavesuperharmonics AT odierp experimentalgenerationofaxisymmetricinternalwavesuperharmonics |