Rogue waves: From nonlinear Schrödinger breather solutions to sea-keeping test

Miguel Onorato; Davide Proment; Günther Clauss; Marco Klein

doi:10.1371/journal.pone.0054629

Rogue waves: From nonlinear Schrödinger breather solutions to sea-keeping test

Miguel Onorato, Davide Proment, Günther Clauss, Marco Klein

Research output: Contribution to journal › Article › peer-review

129 Citations (Scopus)

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Abstract

Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now considered as prototypes of rogue waves in ocean. We propose a novel technique to study the interaction between waves and ships/structures during extreme ocean conditions using such breather solutions. In particular, we discuss a state of the art sea-keeping test in a 90-meter long wave tank by creating a Peregrine breather solution hitting a scaled chemical tanker and we discuss its potential devastating effects on the ship

Original language	English
Article number	e54629
Journal	PLoS One
Volume	8
Issue number	2
DOIs	https://doi.org/10.1371/journal.pone.0054629
Publication status	Published - 6 Feb 2013

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10.1371/journal.pone.0054629Licence: CC BY

journal.pone.0054629.pdfFinal published version, 341 KBLicence: CC BY

Cite this

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title = "Rogue waves: From nonlinear Schr{\"o}dinger breather solutions to sea-keeping test",

abstract = "Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schr{\"o}dinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now considered as prototypes of rogue waves in ocean. We propose a novel technique to study the interaction between waves and ships/structures during extreme ocean conditions using such breather solutions. In particular, we discuss a state of the art sea-keeping test in a 90-meter long wave tank by creating a Peregrine breather solution hitting a scaled chemical tanker and we discuss its potential devastating effects on the ship",

author = "Miguel Onorato and Davide Proment and G{\"u}nther Clauss and Marco Klein",

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AU - Proment, Davide

AU - Clauss, Günther

AU - Klein, Marco

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N2 - Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now considered as prototypes of rogue waves in ocean. We propose a novel technique to study the interaction between waves and ships/structures during extreme ocean conditions using such breather solutions. In particular, we discuss a state of the art sea-keeping test in a 90-meter long wave tank by creating a Peregrine breather solution hitting a scaled chemical tanker and we discuss its potential devastating effects on the ship

AB - Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now considered as prototypes of rogue waves in ocean. We propose a novel technique to study the interaction between waves and ships/structures during extreme ocean conditions using such breather solutions. In particular, we discuss a state of the art sea-keeping test in a 90-meter long wave tank by creating a Peregrine breather solution hitting a scaled chemical tanker and we discuss its potential devastating effects on the ship

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