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

International Conference on Computer Simulation in Physics and Beyond 2015

物理学;计算机科学

Dyachenko, A.I.^1,2 ; Kachulin, D.I.^1 ; Zakharov, V.E.^1,2,3,4

Novosibirsk State University, Pirogova 2, Novosibirsk

630090, Russia^1

Landau Institute for Theoretical Physics RAS, Semenova pr. 1-a, Chernogolovka, Moscow Region

142432, Russia^2

Lebedev Physical Institute of RAS, Leninskiy pr. 53, Moscow

119991, Russia^3

Department of Mathematics, University of Arizona, Tucson

AZ

857201, United States^4

关键词: Analytical studies;    Canonical transformation;    Deep Water;    Equation of motion;    Freak wave;    Sea surfaces;    Surface gravity waves;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/681/1/012028/pdf
DOI  :  10.1088/1742-6596/681/1/012028

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.