Energy Cascade in Internal Wave Attractors
Christophe Brouzet  1@  
1 : Laboratoire de Physique de l'ENS Lyon  (Phys-ENS)  -  Website
CNRS : UMR5672, École Normale Supérieure - Lyon
46 allée d'Italie 69007 Lyon -  France

A question of paramount importance in the dynamics of the oceans is related to the cascade of mechanical energy in the abyss and its contribution to mixing. Here, we propose a unique self-consistent experimental setup that models a cascade of triadic interactions transferring energy from large-scale monochromatic input to multi-scale internal wave motion.

This setup is based on internal wave attractors. Experiments are here carried out in a trapezoidal test tank filled with linearly stratified fluid. Energy is injected into the system via the oscillatory motion of a vertical wall and internal wave velocity fields are measured with a standard PIV technique. Internal wave attractors are prone to parametric subharmonic instability (PSI), which transfers energy from the attractor to a pair of secondary waves.

As the forcing amplitude increases, PSI produces several pairs of secondary waves, creating a cascade of triadic interactions which produces internal-wave motion with a rich multi-peak discrete frequency spectrum embedded into a continuous spectrum of weaker magnitude. We show, for the first time, experimental explicit evidence of a wave turbulence framework for internal waves using energy spectra.

Finally, we show how beyond this regime, we have a clear transition to a cascade of small-scale overturning events which induces significant mixing.


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