Statistics of freak waves in numerical tank


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Abstract

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.

About the authors

A. I. Dyachenko

Novosibirsk State University; Landau Institute for Theoretical Physics Russian Academy of Sciences

Author for correspondence.
Email: alexd@itp.ac.ru
Russian Federation, Novosibirsk-90, 630090; Chernogolovka, Moscow oblast, 142432

D. I. Kachulin

Novosibirsk State University

Email: alexd@itp.ac.ru
Russian Federation, Novosibirsk-90, 630090

V. E. Zakharov

Novosibirsk State University; Landau Institute for Theoretical Physics Russian Academy of Sciences; Lebedev Physical Institute Russian Academy of Sciences; Department of Mathematics

Email: alexd@itp.ac.ru
Russian Federation, Novosibirsk-90, 630090; Chernogolovka, Moscow oblast, 142432; Moscow, 119991; 617 N. Santa Rita, Tucson, AZ, 857201


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