Direct numerical simulations of capillary wave turbulence

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...

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Bibliographic Details
Published in:Physical review letters 2014-06, Vol.112 (23), p.234501-234501, Article 234501
Main Authors: Deike, Luc, Fuster, Daniel, Berhanu, Michael, Falcon, Eric
Format: Article
Language:English
Subjects:
Chaotic Dynamics
Computational fluid dynamics
Condensed Matter
Dissipation
Engineering Sciences
Fluid Dynamics
Fluid flow
Fluid mechanics
Fluids mechanics
Mathematical analysis
Mechanics
Navier-Stokes equations
Nonlinear Sciences
Nonlinearity
Other
Physics
Turbulence
Turbulent flow
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.112.234501