Standing gravity waves regimes in a shallow water resonator

P. 67–76.

Slunyaev A., Ezersky A., Mouazé D., Chokchai W.

Arisingmodulations of surface gravitywaves in a shallow-water resonator under harmonic forcing is discovered in laboratory experiments. Different types of modulations are found. When certain conditions are satisfied (appropriate frequency and sufficient force of excitation), the standing waves become modulated, and the envelopes of standing waves propagate in the channel. Strongly nonlinear numerical simulations of the Euler equations are performed reproducing the modulational regimes observed in the laboratory experiments. The physical mechanism responsible
for the occurrence of modulated waves is determined on the basis of the simulations; quantitative estimates aremade with the help of a simplified weakly nonlinear theory. This work was initiated by and performed under the guidance of Prof. A. Ezersky. We dedicate this text to the memory of him.

Keywords: резонатор, resonator, стоячие волны, гравитационные волны, gravity waves, laboratory experiments, лабораторный эксперимент, standing waves, three-wave interactions, трехволновые взаимодействия

In book

Nonlinear Waves and Pattern Dynamics

Switzerland: Springer, 2018.