Probability of the occurrence of freak waves

V. E. Zakharov, R. V. Shamin

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ2 = 1.54 × 10-3) to moderate (μ2 = 3.08 × 10-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δk/Δ ~ 1).

Original languageEnglish (US)
Pages (from-to)62-65
Number of pages4
JournalJETP Letters
Volume91
Issue number2
DOIs
StatePublished - May 14 2010

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ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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