Articles | Volume 11, issue 3
Nonlin. Processes Geophys., 11, 329–342, 2004
https://doi.org/10.5194/npg-11-329-2004
Nonlin. Processes Geophys., 11, 329–342, 2004
https://doi.org/10.5194/npg-11-329-2004

  27 Jul 2004

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 A. Pushkarev et al.
  • 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.