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

A. Pushkarev (1, 2) , D. Resio (3) , V. Zakharov (1, 2, 4)

1 Waves and Solitons LLC
2 L.D. Landau Institute for Theoretical Physics of RAS
3 Coastal and Hydraulics Laboratory
4 Department of Mathematics [University of Arizona]

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.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Astrophysique [astro-ph]; Sciences de la Terre

A. Pushkarev, D. Resio, V. Zakharov. Second generation diffusion model of interacting gravity waves on the surface of deep fluid. Nonlinear Processes in Geophysics, 2004, 11 (3), pp.329-342. ⟨hal-00302341⟩