Effects of coherent dynamics of stochastic deep-water waves

A. V. Slunyaev
Phys. Rev. E 101, 062214 – Published 26 June 2020

Abstract

A method of windowed spatiotemporal spectral filtering is proposed to segregate different nonlinear wave components and to calculate the surface of free waves. The dynamic kurtosis (i.e., produced by the free wave component) is shown able to contribute essentially to the abnormally large values of the surface displacement kurtosis, according to the direct numerical simulations of realistic sea waves. In this situation the free wave stochastic dynamics is strongly non-Gaussian, and the kinetic equation for sea surface waves fails. Traces of coherent wave patterns are found in the Fourier transform of the directional irregular sea waves; they may form “jets” in the Fourier domain which strongly violate the classic dispersion relation.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 27 November 2019
  • Revised 4 April 2020
  • Accepted 5 June 2020

DOI:https://doi.org/10.1103/PhysRevE.101.062214

©2020 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Nonlinear Dynamics

Authors & Affiliations

A. V. Slunyaev

  • National Research University-Higher School of Economics, 25 Bol'shaya Pechorskaya Street, Nizhny Novgorod 603950, Russia; Institute of Applied Physics, 46 Ulyanova Street, Nizhny Novgorod 603950, Russia; and Nizhny Novgorod State Technical University n.a. R.E. Alekseev, 24 Minina Street, Nizhny Novgorod 603950, Russia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 101, Iss. 6 — June 2020

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×