Saturation of the inverse cascade in surface gravity-wave turbulence

ORAL

Abstract

Wave turbulence models the statistical properties of stochastic nonlinear wave fields. For ocean surface waves, the formation of an inverse cascade towards large scales has been predicted theoretically in the 1980s and confirmed numerically fifteen years ago. By replacing the usual absorbing beach of a wave basin by a reflective wall, we are able to evidence this inverse cascade for the first time in a large-scale basin. We also report a saturation of the evolution of the inverse cascade due to the emergence of nonlinear dissipative structures. In such a statistically stationary and isotropic wave field, we then study the statistics of rogue waves generated by nonlinear wave interactions (and not directly by a wavemaker), a situation thus close to realistic sea states that still remains poorly known.

E. Falcon, G. Michel, G. Prabhudesai, A. Cazaubiel, M. Berhanu, N. Mordant, S. Aumaître, and F. Bonnefoy, Saturation of the inverse cascade in surface gravity-wave turbulence, Phys. Rev. Lett. 125, 134501 (2020).

G. Michel, F. Bonnefoy, G. Ducrozet, and E. Falcon, Statistics of rogue waves in isotropic wave fields, submitted to Phys. Rev. Lett. (2021).

*Part of this work was supported by the French National Research Agency (ANR DYSTURB ANR-17-CE30-0004), and by a grant from the Simons Foundation, MPS 65143-Wave Turbulence.

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Publication: E. Falcon, G. Michel, G. Prabhudesai, A. Cazaubiel, M. Berhanu, N. Mordant, S. Aumaître, and F. Bonnefoy, Saturation of the inverse cascade in surface gravity-wave turbulence, Phys. Rev. Lett. 125, 134501 (2020).
G. Michel, F. Bonnefoy, G. Ducrozet, and E. Falcon, Statistics of rogue waves in isotropic wave fields, submitted to Phys. Rev. Lett. (2021).

Presenters

  • Eric Falcon

    • Université de Paris, MSC, UMR 7057 CNRS, F-75 013 Paris, France

Authors

  • Eric Falcon

    • Université de Paris, MSC, UMR 7057 CNRS, F-75 013 Paris, France

  • Guillaume Michel

    • Sorbonne Université, IJLRA, UMR 7190 CNRS, F-75 005 Paris, France

  • Gaurav Prabhudesai

    • Ecole Normale Supérieure, LPS, UMR 8550 CNRS, F-75 205 Paris, France

  • Annette Cazaubiel

    • Université de Paris, MSC, UMR 7057 CNRS, F-75 013 Paris, France

  • Michael Berhanu

    • Université de Paris, MSC, UMR 7057 CNRS, F-75 013 Paris, France

  • Nicolas Mordant

    • Laboratoire des Écoulements Géophysiques et Industriels, Université Grenoble Alpes
    • Université Grenoble Alpes, LEGI, UMR 5519 CNRS, F-38 000 Grenoble, France
    • Universite Grenoble Alpes

  • Sébastien Aumaître

    • CEA-Saclay, Sphynx, DSM, URA 2464 CNRS, F-91 191 Gif-sur-Yvette, France

  • Guillaume Ducrozet

    • Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France

  • Félicien Bonnefoy

    • Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France