Spectrum of shallow water gravity waves generated by confined two-dimensional turbulence
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PhysRevFluids.3.094802.pdf
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195 KB
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31a433671d30daf07cb6ff4492c31cdb
Author(s)
Knobloch, Edgar
Falcon Beas, Claudio Moises
Date Issued
September 2018
Journal
Physical Review Fluids
Publisher
American Physical Society
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevFluids.3.094802
