Two-dimensional flexural-gravity waves of finite amplitude in deep water
Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet - which may be viewed as modelling an ice sheet - are considered in deep water. The non-linear elastic model is based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008, Steady...
Published in: | IMA Journal of Applied Mathematics |
---|---|
Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
2013
|
Subjects: | |
Online Access: | https://researchportal.bath.ac.uk/en/publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d https://doi.org/10.1093/imamat/hxt020 https://purehost.bath.ac.uk/ws/files/17659850/PerOverturnFGWangVdBM.pdf http://www.scopus.com/inward/record.url?scp=84880519771&partnerID=8YFLogxK |
id |
ftunivbathcris:oai:purehost.bath.ac.uk:publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d |
---|---|
record_format |
openpolar |
spelling |
ftunivbathcris:oai:purehost.bath.ac.uk:publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d 2024-06-23T07:53:48+00:00 Two-dimensional flexural-gravity waves of finite amplitude in deep water Wang, Z. Vanden-Broeck, J.-M. Milewski, P. A. 2013-08 application/pdf https://researchportal.bath.ac.uk/en/publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d https://doi.org/10.1093/imamat/hxt020 https://purehost.bath.ac.uk/ws/files/17659850/PerOverturnFGWangVdBM.pdf http://www.scopus.com/inward/record.url?scp=84880519771&partnerID=8YFLogxK eng eng https://researchportal.bath.ac.uk/en/publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d info:eu-repo/semantics/openAccess Wang , Z , Vanden-Broeck , J-M & Milewski , P A 2013 , ' Two-dimensional flexural-gravity waves of finite amplitude in deep water ' , IMA Journal of Applied Mathematics , vol. 78 , no. 4 , pp. 750-761 . https://doi.org/10.1093/imamat/hxt020 article 2013 ftunivbathcris https://doi.org/10.1093/imamat/hxt020 2024-05-29T23:42:04Z Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet - which may be viewed as modelling an ice sheet - are considered in deep water. The non-linear elastic model is based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008, Steady periodic hydroelastic waves. Arch. Ration. Mech. Anal., 189, 325-362) for this problem. Numerical solutions are computed via conformal mapping and a pseudo-spectral method. New solitary waves are found by using a continuation method to follow the branch of elevation waves. The results extend Guyenne and Pǎrǎu's findings (2012, Computations of fully non-linear hydroelastic solitary wave on deep water. J. Fluid Mech., 713, 307-329). It is shown that, for periodic waves, far along the branches the profiles become overhanging and ultimately approach configurations with a trapped bubble at their troughs. Article in Journal/Newspaper Ice Sheet University of Bath's research portal IMA Journal of Applied Mathematics 78 4 750 761 |
institution |
Open Polar |
collection |
University of Bath's research portal |
op_collection_id |
ftunivbathcris |
language |
English |
description |
Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet - which may be viewed as modelling an ice sheet - are considered in deep water. The non-linear elastic model is based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008, Steady periodic hydroelastic waves. Arch. Ration. Mech. Anal., 189, 325-362) for this problem. Numerical solutions are computed via conformal mapping and a pseudo-spectral method. New solitary waves are found by using a continuation method to follow the branch of elevation waves. The results extend Guyenne and Pǎrǎu's findings (2012, Computations of fully non-linear hydroelastic solitary wave on deep water. J. Fluid Mech., 713, 307-329). It is shown that, for periodic waves, far along the branches the profiles become overhanging and ultimately approach configurations with a trapped bubble at their troughs. |
format |
Article in Journal/Newspaper |
author |
Wang, Z. Vanden-Broeck, J.-M. Milewski, P. A. |
spellingShingle |
Wang, Z. Vanden-Broeck, J.-M. Milewski, P. A. Two-dimensional flexural-gravity waves of finite amplitude in deep water |
author_facet |
Wang, Z. Vanden-Broeck, J.-M. Milewski, P. A. |
author_sort |
Wang, Z. |
title |
Two-dimensional flexural-gravity waves of finite amplitude in deep water |
title_short |
Two-dimensional flexural-gravity waves of finite amplitude in deep water |
title_full |
Two-dimensional flexural-gravity waves of finite amplitude in deep water |
title_fullStr |
Two-dimensional flexural-gravity waves of finite amplitude in deep water |
title_full_unstemmed |
Two-dimensional flexural-gravity waves of finite amplitude in deep water |
title_sort |
two-dimensional flexural-gravity waves of finite amplitude in deep water |
publishDate |
2013 |
url |
https://researchportal.bath.ac.uk/en/publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d https://doi.org/10.1093/imamat/hxt020 https://purehost.bath.ac.uk/ws/files/17659850/PerOverturnFGWangVdBM.pdf http://www.scopus.com/inward/record.url?scp=84880519771&partnerID=8YFLogxK |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Wang , Z , Vanden-Broeck , J-M & Milewski , P A 2013 , ' Two-dimensional flexural-gravity waves of finite amplitude in deep water ' , IMA Journal of Applied Mathematics , vol. 78 , no. 4 , pp. 750-761 . https://doi.org/10.1093/imamat/hxt020 |
op_relation |
https://researchportal.bath.ac.uk/en/publications/bac62fa2-c0a1-46ce-a968-b29bff7b5b6d |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.1093/imamat/hxt020 |
container_title |
IMA Journal of Applied Mathematics |
container_volume |
78 |
container_issue |
4 |
container_start_page |
750 |
op_container_end_page |
761 |
_version_ |
1802645625464946688 |