Forced three-wave interactions of capillary-gravity surface waves
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.
Cite
@article{arxiv.1907.04365,
title = {Forced three-wave interactions of capillary-gravity surface waves},
author = {Annette Cazaubiel and Florence Haudin and Eric Falcon and Michael Berhanu},
journal= {arXiv preprint arXiv:1907.04365},
year = {2019}
}
Comments
21 pages, 13 figures