Asymptotic interpretation of the Miles mechanism of wind-wave instability

DOI10.1017/jfm.2022.441zbMath1500.76032arXiv2107.06844OpenAlexW3181766349MaRDI QIDQ5085113

A. F. Bonfils, Dhrubaditya Mitra, J. S. Wettlaufer, W. Moon

Publication date: 27 June 2022

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06844

zbMATH Keywords

eigenvaluecritical layerair-sea interactionRayleigh equationuniform asymptotic approximationleading-order eigenfunctionripple generation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stability and instability of geophysical and astrophysical flows (76E20)

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Cites Work

• Effect of wind profile on the instability of wind blowing over water
• On the generation of waves by turbulent wind
• On the generation of surface waves by shear flows
• On the generation of surface waves by shear flows. Part 2
• On the Numerical Integration of the Orr-Sommerfeld Equation
• Surface-wave generation revisited
• Solution of Rayleighs instability equation for arbitrary wind profiles
• Physical interpretation of the mathematical theory of wave generation by wind
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