Numerical simulation of surface waves instability on a homogeneous grid

Alexander O. Korotkevich, Alexander I. Dyachenko, Vladimir E. Zakharov

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We performed full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and formation of wave turbulence. Instability of both propagating and standing waves was studied. We separately studied pure capillary wave, that was unstable due to three-wave interactions and pure gravity waves, that were unstable due to four-wave interactions. The theoretical description of instabilities in all cases is included in the article. The numerical algorithm used in these and many other previous simulations performed by the authors is described in detail.

Original languageEnglish (US)
Pages (from-to)51-66
Number of pages16
JournalPhysica D: Nonlinear Phenomena
StatePublished - May 1 2016


  • Numerical simulation
  • Water waves
  • Weak turbulence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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