Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves

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dc.creatorDyachenko, A. I.
dc.creatorKorotkevich, A. O.
dc.creatorZakharov, V. E.
dc.date2003-08-27
dc.date2004-04-06
dc.date.accessioned2026-07-07T05:49:54Z
dc.date.available2026-07-07T05:49:54Z
dc.descriptionWe study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal fluid with free surface written in canonical variables, using expansion of the Hamiltonian in powers of nonlinearity of up to fourth order terms. We show that due to nonlinear interaction processes a stationary energy spectrum close to $|k| \sim k^{-7/2}$ is formed. The observed spectrum can be interpreted as a weak-turbulent Kolmogorov spectrum for a direct cascade of energy.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/physics/0308099
dc.identifierhttp://arxiv.org/abs/physics/0308099
dc.identifierPhys. Rev. Lett., vol. 92, issue 13, 134501 (2004)
dc.identifierdoi:10.1103/PhysRevLett.92.134501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85555
dc.subjectFluid Dynamics
dc.subjectPattern Formation and Solitons
dc.subjectAtmospheric and Oceanic Physics
dc.subjectComputational Physics
dc.titleWeak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
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