Solitary flexural–gravity waves in three dimensions

Olga Trichtchenko; Emilian I. Părău; Jean-Marc Vanden-Broeck; Paul Milewski

doi:10.1098/rsta.2017.0345

Solitary flexural–gravity waves in three dimensions

Olga Trichtchenko, Emilian I. Părău, Jean-Marc Vanden-Broeck, Paul Milewski

Fluids & Structures

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

14 Citations (Scopus)

21 Downloads (Pure)

Abstract

The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942–2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.

Original language	English
Article number	20170345
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	376
Early online date	20 Aug 2018
DOIs	https://doi.org/10.1098/rsta.2017.0345
Publication status	Published - 28 Sep 2018

Keywords

solitary waves
flexural-gravity waves

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10.1098/rsta.2017.0345Licence: CC BY

Published manuscript
Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Final published version, 921 KBLicence: CC BY

Emilian Parau
- E.Parauuea.acuk
- School of Engineering, Mathematics and Physics - Professor of Applied Mathematics
- Fluids & Structures - Member
Person: Research Group Member, Academic, Teaching & Research

Nonlinear Hydroelastic Waves with Applications to Ice Sheets (Joint Proposal, Lead - UCL)
Parau, E., Espin, L., Milewski, P., Vanden-Broeck, J. & Guyenne, P.
Engineering and Physical Sciences Research Council
12/11/12 → 11/05/16
Project: Research

Cite this

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title = "Solitary flexural–gravity waves in three dimensions",

abstract = "The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942–2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue {\textquoteleft}Modelling of sea-ice phenomena{\textquoteright}.",

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AU - Trichtchenko, Olga

AU - Părău, Emilian I.

AU - Vanden-Broeck, Jean-Marc

AU - Milewski, Paul

PY - 2018/9/28

Y1 - 2018/9/28

N2 - The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942–2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.

AB - The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942–2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.

KW - solitary waves

KW - flexural-gravity waves

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DO - 10.1098/rsta.2017.0345

M3 - Article

VL - 376

JO - Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences

SN - 1364-503X

M1 - 20170345

ER -

Solitary flexural–gravity waves in three dimensions

Abstract

Keywords

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Profiles

Emilian Parau

Projects

Nonlinear Hydroelastic Waves with Applications to Ice Sheets (Joint Proposal, Lead - UCL)

Cite this