Statistics of freak waves in numerical tank

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)888-892
Number of pages5
JournalLobachevskii Journal of Mathematics
Volume38
Issue number5
DOIs
StatePublished - Sep 1 2017

Fingerprint

Rayleigh Distribution
Statistics
Linear Model
Calculation of probability
Exact Distribution
Probability Distribution Function
Water Waves
Anomalous
Nonlinear Model
Tail
Nonlinear Equations
Demonstrate
Experiment

Keywords

  • freak waves
  • Hamiltonian formalism
  • modulational instability
  • Nonlinear water waves
  • Zakharov equation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Statistics of freak waves in numerical tank. / Dyachenko, A. I.; Kachulin, D. I.; Zakharov, Vladimir E.

In: Lobachevskii Journal of Mathematics, Vol. 38, No. 5, 01.09.2017, p. 888-892.

Research output: Contribution to journalArticle

Dyachenko, A. I. ; Kachulin, D. I. ; Zakharov, Vladimir E. / Statistics of freak waves in numerical tank. In: Lobachevskii Journal of Mathematics. 2017 ; Vol. 38, No. 5. pp. 888-892.
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