Freak waves as nonlinear stage of Stokes wave modulation instability

V. E. Zakharov, A. I. Dyachenko, A. O. Prokofiev

Research output: Contribution to journalArticlepeer-review

158 Scopus citations

Abstract

Numerical simulation of evolution of nonlinear gravity waves is presented. Simulation is done using two-dimensional code, based on conformal mapping of the fluid to the lower half-plane. We have considered two problems: (i) modulation instability of wave train and (ii) evolution of NLSE solitons with different steepness of carrier wave. In both cases we have observed formation of freak waves.

Original languageEnglish (US)
Pages (from-to)677-692
Number of pages16
JournalEuropean Journal of Mechanics, B/Fluids
Volume25
Issue number5
DOIs
StatePublished - Sep 2006

Keywords

  • Freak wave
  • Free surface
  • Modulation instability

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)

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