New compact equation for numerical simulation of freak waves on deep water

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Considering surface gravity waves which propagate in same direction we applied canonical transformation to a water wave equation and drastically simplify the Hamiltonian. After this transformation, corresponding equation of motion is written in x-space in a compact form. This new equation is suitable for analytical studies and numerical simulations. Localized in space breather-type solution was found numerically by using iterative Petviashvili method. Numerical simulation of breathers collision shows the stability of such solutions. We observed the freak wave formation in numerical simulations of sea surface waving in the framework of new equation.

Original languageEnglish (US)
Article number012028
JournalJournal of Physics: Conference Series
Volume681
Issue number1
DOIs
StatePublished - Feb 3 2016

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deep water
water waves
simulation
gravity waves
wave equations
equations of motion
collisions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

New compact equation for numerical simulation of freak waves on deep water. / Dyachenko, A. I.; Kachulin, D. I.; Zakharov, Vladimir E.

In: Journal of Physics: Conference Series, Vol. 681, No. 1, 012028, 03.02.2016.

Research output: Contribution to journalArticle

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