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Wave-Kinetic Dynamics of Forced-Dissipated Turbulent Internal Gravity Waves

Vincent Labarre1,*, Giorgio Krstulovic1,†, and Sergey Nazarenko2,‡

  • *Contact author: vincent.labarre@oca.eu
  • †Contact author: giorgio.krstulovic@oca.eu
  • ‡Contact author: sergey.nazarenko@unice.fr

Phys. Rev. Lett. 135, 014101 – Published 1 July, 2025

DOI: https://doi.org/10.1103/b82h-z21n

Abstract

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy spectrum of weakly nonlinear internal gravity waves. During the early evolution, three well-known nonlocal interactions, the elastic scattering, the induced diffusion, and the parametric subharmonic instability, together with a superharmonic resonance play a prominent role. In contrast, local interactions are responsible for anisotropic energy cascade on longer timescales. We reveal emergence of a condensate at small horizontal wave vectors that can be interpreted as a pure wave-wave interaction-mediated layering process.

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