Statistics of freak waves in numerical tank

A. I. Dyachenko; D. I. Kachulin; V. E. Zakharov

doi:10.1134/S1995080217050080

Statistics of freak waves in numerical tank

A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	888-892
Number of pages	5
Journal	Lobachevskii Journal of Mathematics
Volume	38
Issue number	5
DOIs	https://doi.org/10.1134/S1995080217050080
State	Published - Sep 1 2017

Keywords

Hamiltonian formalism
Nonlinear water waves
Zakharov equation
freak waves
modulational instability

ASJC Scopus subject areas

Mathematics(all)

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10.1134/S1995080217050080

Cite this

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title = "Statistics of freak waves in numerical tank",

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.",

keywords = "Hamiltonian formalism, Nonlinear water waves, Zakharov equation, freak waves, modulational instability",

author = "Dyachenko, {A. I.} and Kachulin, {D. I.} and Zakharov, {V. E.}",

note = "Funding Information: This work was supported by was Grant “Wave turbulence: theory, numerical simulation, experiment” no. 14-22-00174 of Russian Science Foundation. Numerical simulation was performed on the Informational Computational Center of the Novosibirsk State University. Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

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doi = "10.1134/S1995080217050080",

language = "English (US)",

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T1 - Statistics of freak waves in numerical tank

AU - Dyachenko, A. I.

AU - Kachulin, D. I.

AU - Zakharov, V. E.

N1 - Funding Information: This work was supported by was Grant “Wave turbulence: theory, numerical simulation, experiment” no. 14-22-00174 of Russian Science Foundation. Numerical simulation was performed on the Informational Computational Center of the Novosibirsk State University. Publisher Copyright: © 2017, Pleiades Publishing, Ltd.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - Hamiltonian formalism

KW - Nonlinear water waves

KW - Zakharov equation

KW - freak waves

KW - modulational instability

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DO - 10.1134/S1995080217050080

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JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 5

ER -

Statistics of freak waves in numerical tank

Abstract

Keywords

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