2016/03/08 by Florence Haudin, Annette Cazaubiel, Luc Deike +5
Earth and Planetary Sciences · Physics and Astronomy · #Acoustics #Amplitude #Breaking wave #Capillary wave #Classical mechanics #Coastal and Marine Dynamics #Computational physics #Dissipation #Gravity wave #Mechanics #Nonlinear system #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Optics #Physics #Quantum mechanics #Resonance (particle physics) #Surface wave #Turbulence #Wave propagation #Wave turbulence #nlin.CD #physics.class-ph #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.93.043110
published as Phys. Rev. E 93, 043110 (2016) · in press in Phys. Rev. E. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2016
arxiv created 2016/03/08 · openalex publication_date 2016/04/11 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In propagating wave systems, three- or four-wave resonant interactions constitute a classical nonlinear mechanism exchanging energy between the different scales. Here we investigate three-wave interactions for gravity-capillary surface waves in a closed laboratory tank. We generate two crossing wave trains and we study their interaction. Using two optical methods, a local one (laser doppler vibrometry) and a spatiotemporal one (diffusive light photography), a third wave of smaller amplitude is detected, verifying the three-wave resonance conditions in frequency and in wave number. Furthermore, by focusing on the stationary regime and by taking into account viscous dissipation, we directly estimate the growth rate of the resonant mode. The latter is then compared to the predictions of the weakly nonlinear triadic resonance interaction theory. The obtained results confirm qualitatively and extend previous experimental results obtained only for collinear wave trains. Finally, we discuss the relevance of three-wave interaction mechanisms in recent experiments studying gravity-capillary turbulence.