English

Succession of resonances to achieve internal wave turbulence

Fluid Dynamics 2021-02-10 v1 Statistical Mechanics Pattern Formation and Solitons

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 k3k^{-3} behavior.

Keywords

Cite

@article{arxiv.2004.12625,
  title  = {Succession of resonances to achieve internal wave turbulence},
  author = {Géraldine Davis and Timothée Jamin and Julie Deleuze and Sylvain Joubaud and Thierry Dauxois},
  journal= {arXiv preprint arXiv:2004.12625},
  year   = {2021}
}