Freak waves: Peculiarities of numerical simulations

V. E. Zakharov; A. I. Dyachenko; A. O. Prokofiev

doi:10.1007/978-1-4020-8314-3_1

Freak waves: Peculiarities of numerical simulations

V. E. Zakharov, A. I. Dyachenko, A. O. Prokofiev

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

Numerical simulation of evolution of nonlinear gravity waves is presented. Simulation is done using two-dimensional code, based on conformal mapping of the fluid to the lower half-plane. We have considered two problems: (i) modulation instability of wave train and (ii) evolution of nonlinear Shrödinger equation solitons with different steepness of carrier wave. In both cases we have observed formation of freak waves.

Original language	English (US)
Title of host publication	Extreme Ocean Waves
Publisher	Springer Netherlands
Pages	1-29
Number of pages	29
ISBN (Print)	9781402083136
DOIs	https://doi.org/10.1007/978-1-4020-8314-3_1
State	Published - 2016

ASJC Scopus subject areas

General Earth and Planetary Sciences
General Environmental Science

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10.1007/978-1-4020-8314-3_1

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title = "Freak waves: Peculiarities of numerical simulations",

abstract = "Numerical simulation of evolution of nonlinear gravity waves is presented. Simulation is done using two-dimensional code, based on conformal mapping of the fluid to the lower half-plane. We have considered two problems: (i) modulation instability of wave train and (ii) evolution of nonlinear Shr{\"o}dinger equation solitons with different steepness of carrier wave. In both cases we have observed formation of freak waves.",

author = "Zakharov, {V. E.} and Dyachenko, {A. I.} and Prokofiev, {A. O.}",

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AU - Prokofiev, A. O.

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AB - Numerical simulation of evolution of nonlinear gravity waves is presented. Simulation is done using two-dimensional code, based on conformal mapping of the fluid to the lower half-plane. We have considered two problems: (i) modulation instability of wave train and (ii) evolution of nonlinear Shrödinger equation solitons with different steepness of carrier wave. In both cases we have observed formation of freak waves.

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Freak waves: Peculiarities of numerical simulations

Abstract

ASJC Scopus subject areas

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