Numerical study of interfacial solitary waves propagating under an ice sheet
Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet...
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ftucl:oai:eprints.ucl.ac.uk.OAI2:1451237 2023-12-24T10:17:37+01:00 Numerical study of interfacial solitary waves propagating under an ice sheet Vanden-Broeck, J Wang, Z Parau, EI Milewski, PA 2014-08-08 application/pdf https://discovery.ucl.ac.uk/id/eprint/1451237/1/upg1.pdf https://discovery.ucl.ac.uk/id/eprint/1451237/ eng eng https://discovery.ucl.ac.uk/id/eprint/1451237/1/upg1.pdf https://discovery.ucl.ac.uk/id/eprint/1451237/ open Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 470 (2168) , Article 20140111. (2014) Gravity–flexural Interfacial wave Solitary wave Generalized solitary wave Article 2014 ftucl 2023-11-27T13:07:26Z Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a fully nonlinear thin shell model. Fully localized solitary waves are computed via a boundary integral method. Progression along the various branches of solutions shows that barotropic (i.e. surface modes) wave-packet solitary wave branches end with the free surface approaching the interface. On the other hand, the limiting configurations of long baroclinic (i.e. internal) solitary waves are characterized by an infinite broadening in the horizontal direction. Baroclinic wave-packet modes also exist for a large range of amplitudes and generalized solitary waves are computed in a case of a long internal mode in resonance with surface modes. In contrast to the pure gravity case (i.e without an elastic cover), these generalized solitary waves exhibit new Wilton-ripple-like periodic trains in the far field. Article in Journal/Newspaper Ice Sheet University College London: UCL Discovery Wilton ENVELOPE(-44.733,-44.733,-60.750,-60.750) |
institution |
Open Polar |
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University College London: UCL Discovery |
op_collection_id |
ftucl |
language |
English |
topic |
Gravity–flexural Interfacial wave Solitary wave Generalized solitary wave |
spellingShingle |
Gravity–flexural Interfacial wave Solitary wave Generalized solitary wave Vanden-Broeck, J Wang, Z Parau, EI Milewski, PA Numerical study of interfacial solitary waves propagating under an ice sheet |
topic_facet |
Gravity–flexural Interfacial wave Solitary wave Generalized solitary wave |
description |
Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a fully nonlinear thin shell model. Fully localized solitary waves are computed via a boundary integral method. Progression along the various branches of solutions shows that barotropic (i.e. surface modes) wave-packet solitary wave branches end with the free surface approaching the interface. On the other hand, the limiting configurations of long baroclinic (i.e. internal) solitary waves are characterized by an infinite broadening in the horizontal direction. Baroclinic wave-packet modes also exist for a large range of amplitudes and generalized solitary waves are computed in a case of a long internal mode in resonance with surface modes. In contrast to the pure gravity case (i.e without an elastic cover), these generalized solitary waves exhibit new Wilton-ripple-like periodic trains in the far field. |
format |
Article in Journal/Newspaper |
author |
Vanden-Broeck, J Wang, Z Parau, EI Milewski, PA |
author_facet |
Vanden-Broeck, J Wang, Z Parau, EI Milewski, PA |
author_sort |
Vanden-Broeck, J |
title |
Numerical study of interfacial solitary waves propagating under an ice sheet |
title_short |
Numerical study of interfacial solitary waves propagating under an ice sheet |
title_full |
Numerical study of interfacial solitary waves propagating under an ice sheet |
title_fullStr |
Numerical study of interfacial solitary waves propagating under an ice sheet |
title_full_unstemmed |
Numerical study of interfacial solitary waves propagating under an ice sheet |
title_sort |
numerical study of interfacial solitary waves propagating under an ice sheet |
publishDate |
2014 |
url |
https://discovery.ucl.ac.uk/id/eprint/1451237/1/upg1.pdf https://discovery.ucl.ac.uk/id/eprint/1451237/ |
long_lat |
ENVELOPE(-44.733,-44.733,-60.750,-60.750) |
geographic |
Wilton |
geographic_facet |
Wilton |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 470 (2168) , Article 20140111. (2014) |
op_relation |
https://discovery.ucl.ac.uk/id/eprint/1451237/1/upg1.pdf https://discovery.ucl.ac.uk/id/eprint/1451237/ |
op_rights |
open |
_version_ |
1786205872391716864 |