Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications
To date, the influence of nonlinear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a Cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in nonlinear stratifications of an ax...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Cambridge University Press (CUP)
2021
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| Online Access: | https://hdl.handle.net/1721.1/129987 |
| _version_ | 1826200121024446464 |
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| author | Boury, S. Odier, P. Peacock, Thomas |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Boury, S. Odier, P. Peacock, Thomas |
| author_sort | Boury, S. |
| collection | MIT |
| description | To date, the influence of nonlinear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a Cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in nonlinear stratifications of an axisymmetric internal wave. We demonstrate that, despite the additional geometric complexity, with associated features such as an inhomogeneous spatial distribution of the energy flux, results for plane waves can be generalised to axisymmetric wave fields. Two configurations are studied, both theoretically and experimentally. In the case of a free incident wave, a transmission maximum is found in the vicinity of evanescent frequencies. In the case of a confined incident wave, resonant effects, in the sense of constructive interference, lead to enhanced transmission rates from an upper layer to a layer below. We consider the oceanographic relevance of these results by applying them to an example oceanic stratification, finding that there can be real-world implications. |
| first_indexed | 2024-09-23T11:31:31Z |
| format | Article |
| id | mit-1721.1/129987 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:31:31Z |
| publishDate | 2021 |
| publisher | Cambridge University Press (CUP) |
| record_format | dspace |
| spelling | mit-1721.1/1299872022-10-01T04:11:35Z Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications Boury, S. Odier, P. Peacock, Thomas Massachusetts Institute of Technology. Department of Mechanical Engineering To date, the influence of nonlinear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a Cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in nonlinear stratifications of an axisymmetric internal wave. We demonstrate that, despite the additional geometric complexity, with associated features such as an inhomogeneous spatial distribution of the energy flux, results for plane waves can be generalised to axisymmetric wave fields. Two configurations are studied, both theoretically and experimentally. In the case of a free incident wave, a transmission maximum is found in the vicinity of evanescent frequencies. In the case of a confined incident wave, resonant effects, in the sense of constructive interference, lead to enhanced transmission rates from an upper layer to a layer below. We consider the oceanographic relevance of these results by applying them to an example oceanic stratification, finding that there can be real-world implications. ONR (Grant N000141612450) 2021-02-23T23:13:11Z 2021-02-23T23:13:11Z 2020-01 2020-07-31T15:33:50Z Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 https://hdl.handle.net/1721.1/129987 Boury, S. et al. "Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications." Journal of Fluid Mechanics 886 (January 2020): A8 © 2020 The Author(s) en http://dx.doi.org/10.1017/jfm.2019.1024 Journal of Fluid Mechanics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Cambridge University Press (CUP) arXiv |
| spellingShingle | Boury, S. Odier, P. Peacock, Thomas Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title | Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title_full | Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title_fullStr | Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title_full_unstemmed | Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title_short | Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| title_sort | axisymmetric internal wave transmission and resonant interference in nonlinear stratifications |
| url | https://hdl.handle.net/1721.1/129987 |
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