Statistics of freak waves in numerical tank
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Presented are the results of experiments on calculation of Probability Distribution Functions for elevations of waters waves in numerical tank. Statistics of waves of anomalous amplitude, or freak-waves were compared both for nonlinear and linear models. Obviously, linear model demonstrates the exact Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails (for large elevations) similar to Rayleigh distribution, but with larger σ.
Keywords and phrasesNonlinear water waves Hamiltonian formalism modulational instability freak waves Zakharov equation
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- 2.A. I. Dyachenko, D. I. Kachulin, and V. E. Zakharov, “New compact equation for numerical simulation of freak waves on deep water,” J. Phys.: Conf. Ser. 681, 012028 (2016).Google Scholar