Turbulence of capillary waves

Presented are results of numerical simulation of capillary waves on the surface of incompressible infinitely deep fluid. In this case only a direct cascade of energy takes place. The corresponding Kolmogorov spectrum for the surface elevation has the form n sub(k) approximately k super(-17/4). This...

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Bibliographic Details
Published in:Physical review letters 1996-04, Vol.76 (18), p.3320-3323
Main Authors: Pushkarev, AN, Zakharov, VE
Format: Article
Language:English
Subjects:
Computer simulation
Fourier transforms
Integration
Laplace transforms
Nonlinear equations
Partial differential equations
Surface waves
Turbulence
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Summary:Presented are results of numerical simulation of capillary waves on the surface of incompressible infinitely deep fluid. In this case only a direct cascade of energy takes place. The corresponding Kolmogorov spectrum for the surface elevation has the form n sub(k) approximately k super(-17/4). This theoretical prediction is confirmed by direct numerical simulation with satisfactory accuracy. The developed numerical approach can be used for solving a wide class of problems pertaining to the interaction of surface waves and, more generally, other types of waves in nonlinear media.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.76.3320