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Nonlin. Processes Geophys., 11, 329-342, 2004
https://doi.org/10.5194/npg-11-329-2004
© Author(s) 2004. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
 
27 Jul 2004
Second generation diffusion model of interacting gravity waves on the surface of deep fluid
A. Pushkarev1,3, D. Resio2, and V. Zakharov1,3,4 1Waves and Solitons LLC, 918 W. Windsong Dr., Phoenix, AZ 85045, USA
2Coastal and Hydraulics Laboratory, U.S. Army Engineer Research and Development Center, Halls Ferry Road, Vicksburg,
3Landau Institute for Theoretical Physics, Moscow, 117334, Russia
4Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
Abstract. We propose a second generation phenomenological model for nonlinear interaction of gravity waves on the surface of deep water. This model takes into account the effects of non-locality of the original Hasselmann diffusion equation still preserving important properties of the first generation model: physically consistent scaling, adherence to conservation laws and the existence of Kolmogorov-Zakharov solutions. Numerical comparison of both models with the original Hasselmann equation shows that the second generation models improves the angular distribution in the evolving wave energy spectrum.

Citation: Pushkarev, A., Resio, D., and Zakharov, V.: Second generation diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Processes Geophys., 11, 329-342, https://doi.org/10.5194/npg-11-329-2004, 2004.
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