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Can edge waves be generated by wind?

Shrira, Victor I.; Sheremet, Alex; Troitskaya, Yulia I.; Soustova, Irina A.

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Authors

Alex Sheremet

Yulia I. Troitskaya

Irina A. Soustova



Abstract

Edge waves, the infragravity waves trapped by near-shore topography, are important in morphodynamics and flooding on mildly sloping beaches. Edge waves are usually generated by swell via triad interactions. Here, we examine the possibility that edge waves might be also generated directly by wind. By processing data from the SandyDuck'97 near-shore experiment, we show that pronounced directional asymmetry of edge waves does occur in nature, apparently unrelated to the direction of swells and along-shore currents. These observations exhibit edge waves propagating in the downwind direction under moderate wind against the along-shore currents, while swell is incident nearly normally to the shoreline, which strongly suggests generation of edge waves by wind. We examine theoretically possible mechanisms of edge-wave excitation by wind. We show that the 'maser' mechanism suggested by Longuet-Higgins (Proc. R. Soc. Lond. A, vol. 311, issue 1506,1969b, pp. 371-389) in the context of excitation of free water waves is effective under favourable conditions: nonlinearly interacting random short wind-forced waves create a viscous shear stress on the water surface with the variation of stress being phase linked to edge waves, which allows self-excitation of a coherent edge wave. The model we put forward is based upon the kinetic equation for short wind waves propagating on the inhomogeneous current due to an edge wave. The model needs a dedicated experiment for validation. Analysis of plausible alternative mechanisms of generation via Miles' critical layer and via the viscous shear stresses induced by the edge wave in the air revealed no instability in the consideration confined to the main mode and constant slope bathymetry.

Citation

Shrira, V. I., Sheremet, A., Troitskaya, Y. I., & Soustova, I. A. (2022). Can edge waves be generated by wind?. Journal of Fluid Mechanics, 934, 1-36. https://doi.org/10.1017/jfm.2021.1141

Journal Article Type Article
Acceptance Date Dec 15, 2021
Publication Date Mar 10, 2022
Journal Journal of Fluid Mechanics
Print ISSN 0022-1120
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 934
Article Number A16
Pages 1-36
DOI https://doi.org/10.1017/jfm.2021.1141
Keywords air/sea interactions; topographic effects; wind-wave interactions
Publisher URL https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/can-edge-waves-be-generated-by-wind/FFE1FCCBE74DE7A6C9E3F10C31550507

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