In a book "Tsunami and Nonlinear Waves": Numerical Verification of the Hasselmann equation

Details In a book "Tsunami and Nonlinear Waves": Numerical Verification of the Hasselmann equation In a book "Tsunami and Nonlinear Waves": Numerical Verification of the Hasselmann equation

2007-02-05

arxiv.org/abs/physics/0702034v2

Physics

Atmospheric and Oceanic Physics

41 pages, 42 figures, accepted for publication in a book: "Tsunami and Nonlinear Waves", Kundu, Anjan (Editor), Springer 2007,

Scientific paper

The purpose of this article is numerical verification of the thory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial dynamical equations describing potential flow of the ideal fluid with a free surface and, solution of the kinetic Hasselmann equation, describing the wave ensemble in the framework of the theory of weak turbulence. Comparison of the results demonstrates pretty good applicability of the weak turbulent approach.

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