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Article Dans Une Revue Journal of Fluid Mechanics Année : 2015

Faraday waves: their dispersion relation, nature of bifurcation and wavenumber selection revisited

Résumé

In the current literature, the dispersion relation of parametrically-forced surface waves is often identified with that of free unforced waves. We revisit here the theoretical description of Faraday waves, showing that forcing and dissipation play a significant role in the dispersion relation, rendering it bi-valued. We then determine the instability thresholds and the wavenumber selection in cases of both short and long waves. We show that the bifurcation can be either supercritical or subcritical, depending on the depth.
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hal-01254383 , version 1 (12-01-2016)

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Jean Rajchenbach, Didier Clamond. Faraday waves: their dispersion relation, nature of bifurcation and wavenumber selection revisited. Journal of Fluid Mechanics, 2015, JFM Rapids, 777 (R2), pp.1. ⟨10.1017/jfm.2015.382⟩. ⟨hal-01254383⟩
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