Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence
We apply Lighthill's theory of aeroacoustic sound generation to shallow water gravity waves generated by spatially confined two-dimensional turbulence. We show that the frequency spectrum of surface waves at large distances from the source of turbulence is, under suitable conditions, proportion...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/118854 |
| _version_ | 1811077794922233856 |
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| author | Knobloch, Edgar Falcon Beas, Claudio Moises |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Knobloch, Edgar Falcon Beas, Claudio Moises |
| author_sort | Knobloch, Edgar |
| collection | MIT |
| description | We apply Lighthill's theory of aeroacoustic sound generation to shallow water gravity waves generated by spatially confined two-dimensional turbulence. We show that the frequency spectrum of surface waves at large distances from the source of turbulence is, under suitable conditions, proportional to the spatiotemporal spectrum of the energy momentum tensor associated with the turbulent fields acting as the wave source and hence that it follows a power-law behavior. We compute the exponent for shallow water waves generated by isotropic two-dimensional turbulence and show that the integrated power radiated scales as ω[superscript −3] when the turbulent fluctuations arise from an inverse energy cascade and as ω[superscript −7] when they arise from the enstrophy cascade. |
| first_indexed | 2024-09-23T10:48:30Z |
| format | Article |
| id | mit-1721.1/118854 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:48:30Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1188542024-07-19T19:30:24Z Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence Knobloch, Edgar Falcon Beas, Claudio Moises Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Falcon Beas, Claudio Moises We apply Lighthill's theory of aeroacoustic sound generation to shallow water gravity waves generated by spatially confined two-dimensional turbulence. We show that the frequency spectrum of surface waves at large distances from the source of turbulence is, under suitable conditions, proportional to the spatiotemporal spectrum of the energy momentum tensor associated with the turbulent fields acting as the wave source and hence that it follows a power-law behavior. We compute the exponent for shallow water waves generated by isotropic two-dimensional turbulence and show that the integrated power radiated scales as ω[superscript −3] when the turbulent fluctuations arise from an inverse energy cascade and as ω[superscript −7] when they arise from the enstrophy cascade. Comisión Nacional de Investigación Ciencia y Tecnología (Chile) (Grant CONICYT-USA PII20150011) University of California, Berkeley (Berkeley-Chile Fund) 2018-11-02T19:19:13Z 2018-11-02T19:19:13Z 2018-09 2018-09-04T18:00:23Z Article http://purl.org/eprint/type/JournalArticle 2469-990X http://hdl.handle.net/1721.1/118854 Falcón, Claudio, and Edgar Knobloch. “Spectrum of Shallow Water Gravity Waves Generated by Confined Two-Dimensional Turbulence.” Physical Review Fluids, vol. 3, no. 9, Sept. 2018. © 2018 American Physical Societ en http://dx.doi.org/10.1103/PhysRevFluids.3.094802 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Knobloch, Edgar Falcon Beas, Claudio Moises Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title | Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title_full | Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title_fullStr | Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title_full_unstemmed | Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title_short | Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence |
| title_sort | spectrum of shallow water gravity waves generated by confined two dimensional turbulence |
| url | http://hdl.handle.net/1721.1/118854 |
| work_keys_str_mv | AT knoblochedgar spectrumofshallowwatergravitywavesgeneratedbyconfinedtwodimensionalturbulence AT falconbeasclaudiomoises spectrumofshallowwatergravitywavesgeneratedbyconfinedtwodimensionalturbulence |