Observation of resonant interactions among surface gravity waves

Abstract

We experimentally study resonant interactions of oblique surface gravity waves in a large basin. Our results strongly extend previous experimental results performed mainly for perpendicular or collinear wave trains. We generate two oblique waves crossing at an acute angle, while we control their frequency ratio, steepnesses and directions. These mother waves mutually interact and give birth to a resonant wave whose properties (growth rate, resonant response curve and phase locking) are fully characterized. All our experimental results are found in good quantitative agreement with four-wave interaction theory with no fitting parameter. Off-resonance experiments are also reported and the relevant theoretical analysis is conducted and validated.

arXiv comment11 pages, 7 figures

References in corpus (4)

• Experimental evidence of a triadic resonance of plane inertial waves in a rotating fluid
• Nonlocal resonances in weak turbulence of gravity-capillary waves
• Resonant Triad Instability in Stratified Fluids
• Observation of resonant interactions among surface gravity waves

Cited by in corpus (6)

• Experiments in Surface Gravity-Capillary Wave Turbulence
• Experimental evidence of nonlinear focusing in standing water waves
• Observation of resonant interactions among surface gravity waves
• Three-wave interactions among surface gravity waves in a cylindrical container [DOI]
• Forced three-wave interactions of capillary-gravity surface waves
• Evidence of experimental three-wave resonant interactions between two dispersion branches