Succession of resonances to achieve internal wave turbulence

Abstract

We study experimentally the interaction of nonlinear internal waves in a stratified fluid confined in a trapezoidal tank. The set-up has been designed to produce internal wave turbulence from monochromatic and polychromatic forcing through three processes. The first is a linear transfer in wavelength obtained by wave reflection on inclined slopes, leading to an internal wave attractor which has a broad wavenumber spectrum. Second is the broad banded time-frequency spectrum of the trapezoidal geometry, as shown by the impulse response of the system. The third one is a nonlinear transfer in frequencies and wavevectors via triadic interactions, which results at large forcing amplitudes in a power law decay of the wavenumber power spectrum. This first experimental spectrum of internal wave turbulence displays a $k^{-3}$ behavior.

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Cited by in corpus (12)

• Experiments in Surface Gravity-Capillary Wave Turbulence
• Quantitative experimental observation of weak inertial-wave turbulence
• Vortex cluster arising from an axisymmetric inertial wave attractor
• Downscale energy fluxes in scale invariant oceanic internal wave turbulence
• Experimental quasi-1D capillary-wave turbulence
• Internal wave turbulence in a stratified fluid with and without eigenmodes of the experimental domain
• Three-dimensionality of the triadic resonance instability of a plane inertial wave
• The Structure of Energy Fluxes in Wave Turbulence
• Internal gravity waves in stratified flows with and without vortical modes
• Evidence of experimental three-wave resonant interactions between two dispersion branches
• Breaking of internal waves parametrically excited by ageostrophic anticyclonic instability
• Laboratory observation of internal gravity wave turbulence in a three-dimensional, large-scale facility