2014/06/03 by Luc Deike, Daniel Fuster, Michaël Berhanu +2 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Coastal and Marine Dynamics #Ocean Waves and Remote Sensing #Tropical and Extratropical Cyclones Research #cond-mat.other #nlin.CD #physics.class-ph #physics.flu-dyn
paper · pdf · doi:10.1103/physrevlett.112.234501
published as Physical Review Letters 112 (2014) 234501 · Physical Review Letters (2014) in press
arxiv created 2014/06/03 · openalex publication_date 2014/06/09 · arxiv updated 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work presents direct numerical simulations of capillary wave turbulence solving the full three-dimensional Navier-Stokes equations of a two-phase flow. When the interface is locally forced at large scales, a statistical stationary state appears after few forcing periods. Smaller wave scales are generated by nonlinear interactions, and the wave height spectrum is found to obey a power law in both wave number and frequency, in good agreement with weak turbulence theory. By estimation of the mean energy flux from the dissipated power, the Kolmogorov-Zakharov constant is evaluated and found to be compatible with the exact theoretical value. The time scale separation between linear, nonlinear interaction, and dissipative times is also observed. These numerical results confirm the validity of the weak turbulence approach to quantify out-of equilibrium wave statistics.