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

A. I. Dyachenko; D. I. Kachulin; V. E. Zakharov

doi:10.1088/1742-6596/681/1/012028

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

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

Mathematics

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

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 language	English (US)
Article number	012028
Journal	Journal of Physics: Conference Series
Volume	681
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/681/1/012028
State	Published - Feb 3 2016
Event	International Conference on Computer Simulation in Physics and Beyond 2015, CSP 2015 - Moscow, Russian Federation Duration: Sep 6 2015 → Sep 10 2015

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1088/1742-6596/681/1/012028

Cite this

@article{c86b02be5a2e4863b58d19217a75aef1,

title = "New compact equation for numerical simulation of freak waves on deep water",

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.",

author = "Dyachenko, {A. I.} and Kachulin, {D. I.} and Zakharov, {V. E.}",

year = "2016",

month = feb,

day = "3",

doi = "10.1088/1742-6596/681/1/012028",

language = "English (US)",

volume = "681",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "International Conference on Computer Simulation in Physics and Beyond 2015, CSP 2015 ; Conference date: 06-09-2015 Through 10-09-2015",

}

TY - JOUR

T1 - New compact equation for numerical simulation of freak waves on deep water

AU - Dyachenko, A. I.

AU - Kachulin, D. I.

AU - Zakharov, V. E.

PY - 2016/2/3

Y1 - 2016/2/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84962888085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84962888085&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/681/1/012028

DO - 10.1088/1742-6596/681/1/012028

M3 - Conference article

AN - SCOPUS:84962888085

SN - 1742-6588

VL - 681

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012028

T2 - International Conference on Computer Simulation in Physics and Beyond 2015, CSP 2015

Y2 - 6 September 2015 through 10 September 2015

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this