Frontiers in Nonlinear Waves
in honor of Vladimir Zakharov's 70th birthday
March 26–29, 2010
University of Arizona, Tucson, AZ, USA

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Conference Program

Mar 26 Mar 27 Mar 28 Mar 29 Speakers

Sunday March 28, 10:15–10:40

On Dissipation Function of Ocean Waves due to White Capping
Alexander Korotkevich
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM
The wave turbulence theory is a key stone of all modern wave forecasting models. Hasselmann kinetic equation for waves is a main tool of waves field description. At the same time this equation doesn't take into account coherent and strongly nonlinear processes like solitons, freak waves, wave breaking, and white capping. Some of these phenomena can be very important for relevant description of waves on the surface of the ocean. We believe that the main influence comes from additional dissipation which is the results of white capping and wave breaking. Fortunately, these phenomena can be taken into account by additional dissipation terms in the kinetic equation. Such augmented kinetic equation describes accurately waves interaction and takes into account additional dissipation. This is common practice in all current wave forecasting models. At the same time, measurements of dissipation function in a field experiments are extremely complex if not impossible. As a result particular form of these dissipation terms is still under discussion.

We propose results of two parallel massive numerical experiments in the frameworks of two different models: fully nonlinear 2D hydrodynamics and weakly nonlinear 3D hydrodynamics. We measured dependence of dissipation function on average steepness of the surface, which is a standard characteristic of nonlinearity in the system. Our results differ significantly with respect to models currently used in operational wave forecasting models. At the same time we observed good correspondence with field experiments.

 presentation file (PDF, 273.22 KiB)