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arXiv · 1907.04365

Forced three-wave interactions of capillary-gravity surface waves

Annette Cazaubiel·Florence Haudin·Eric Falcon·Michael Berhanu
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Abstract

{Three-wave resonant interactions constitute an essential nonlinear mechanism coupling capillary surface waves. In a previous work, Haudin et al. [Phys. Rev E 93, 043110 (2016)], we have characterized experimentally the generation by this mechanism of a daughter wave, whose amplitude saturates due to the viscous dissipation. Here, we show experimentally the generation of a daughter wave verifying the resonant conditions, but not the dispersion relation.} By modeling the response of the free surface at the lowest nonlinear order, we explain this observation as a forced interaction. {The bandwidth of the linear transfer function of the free surface is indeed increased by the significant viscous dissipation.} The observation of free surface excitations not following the linear dispersion relation then becomes possible. This forced three-wave interaction mechanism could have important consequences for wave turbulence in experimental or natural systems with non negligible dissipation.

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Annette Cazaubiel, Florence Haudin, Eric Falcon, Michael Berhanu. 2019-07-09. Forced three-wave interactions of capillary-gravity surface waves. https://doi.org/10.1103/physrevfluids.4.074803

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