Second generation diffusion model of interacting gravity waves on the surface of deep fluid
- 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.