Direct numerical simulations of capillary wave turbulence

TitleDirect numerical simulations of capillary wave turbulence
Publication TypeJournal Article
Year of Publication2014
AuthorsDeike L., Fuster D., Berhanu M., Falcon E.
JournalPhysical Review Letters
Volume112
Date Published2014/06
Type of ArticleArticle
ISBN Number0031-9007
Accession NumberWOS:000336981200008
Keywordsadaptive solver; breaking; dissipation; gravity; instability; liquid; ocean surface
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.

DOI10.1103/PhysRevLett.112.234501
Short TitlePhys. Rev. Lett.
Integrated Research Themes: 
Student Publication: 
No