title: Direct numerical simulations of capillary wave turbulence.
abstract: 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.
authors: Université Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France, EU and Scripps Institution of Oceanography, University of California San Diego, La Jolla, California 92093, USA.
authors: Luc
authors: L
authors: Deike
authors: Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, UMR 7190, 75005 Paris, France, EU.
authors: Daniel
authors: D
authors: Fuster
authors: Université Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France, EU.
authors: Michael
authors: M
authors: Berhanu
authors: Université Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France, EU.
authors: Eric
authors: E
authors: Falcon