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arXiv · 2611.06317

A plea for Miles' approach to wind-wave interaction

Norbert Kern·Miguel M. Manna·Frédéric Bouchette·Christophe Chaubet
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Abstract

Although the phenomenon of wave growth under the effect of wind still holds many open questions, the approach initiated by Miles [1] is a cornerstone of the current comprehension. This theory is based on physical arguments, keeping phenomenological input to a minimum, but it can be perceived as intimidating, especially in view of concrete applications. Here we argue that Miles' results can be summarised in terms of a simple functional form, which provides an easy-to-use expression to work with. We furthermore show that Miles' predictions do not, as is often stated, underestimate growth rates, once the presence of a whole wave spectrum is accounted for. Finally, we illustrate that the generalisation of Miles' original result to complex hydrodynamic situations can be quite straightforward. Our hands-on summary should make it heretofore very easy to exploit Miles' approach in practice.

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Norbert Kern, Miguel M. Manna, Frédéric Bouchette, Christophe Chaubet. 2026-11-04. A plea for Miles' approach to wind-wave interaction. https://arxiv.org/abs/2611.06317

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