A multi-mode approximation to wave scattering by ice sheets of varying thickness
The problem of linear wave scattering by an ice sheet of variable thickness floating on water of variable quiescent depth is considered by applying the Rayleigh–Ritz method in conjunction with a variational principle. By using a multi-mode expansion to approximate the velocity potential that represe...
Published in: | Journal of Fluid Mechanics |
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Language: | English |
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Cambridge University Press (CUP)
2007
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Online Access: | http://dx.doi.org/10.1017/s002211200700537x https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S002211200700537X |
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crcambridgeupr:10.1017/s002211200700537x 2024-05-19T07:42:09+00:00 A multi-mode approximation to wave scattering by ice sheets of varying thickness BENNETTS, L. G. BIGGS, N. R. T. PORTER, D. 2007 http://dx.doi.org/10.1017/s002211200700537x https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S002211200700537X en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 579, page 413-443 ISSN 0022-1120 1469-7645 journal-article 2007 crcambridgeupr https://doi.org/10.1017/s002211200700537x 2024-05-02T06:51:11Z The problem of linear wave scattering by an ice sheet of variable thickness floating on water of variable quiescent depth is considered by applying the Rayleigh–Ritz method in conjunction with a variational principle. By using a multi-mode expansion to approximate the velocity potential that represents the fluid motion, Porter & Porter ( J. Fluid Mech . vol. 509, 2004, p. 145) is extended and the solution of the problem may be obtained to any desired accuracy. Explicit solution methods are formulated for waves that are obliquely incident on two-dimensional geometry, comparisons are made with existing work and a range of new examples that includes both total and partial ice-cover is considered. Article in Journal/Newspaper Ice Sheet Cambridge University Press Journal of Fluid Mechanics 579 413 443 |
institution |
Open Polar |
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Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
description |
The problem of linear wave scattering by an ice sheet of variable thickness floating on water of variable quiescent depth is considered by applying the Rayleigh–Ritz method in conjunction with a variational principle. By using a multi-mode expansion to approximate the velocity potential that represents the fluid motion, Porter & Porter ( J. Fluid Mech . vol. 509, 2004, p. 145) is extended and the solution of the problem may be obtained to any desired accuracy. Explicit solution methods are formulated for waves that are obliquely incident on two-dimensional geometry, comparisons are made with existing work and a range of new examples that includes both total and partial ice-cover is considered. |
format |
Article in Journal/Newspaper |
author |
BENNETTS, L. G. BIGGS, N. R. T. PORTER, D. |
spellingShingle |
BENNETTS, L. G. BIGGS, N. R. T. PORTER, D. A multi-mode approximation to wave scattering by ice sheets of varying thickness |
author_facet |
BENNETTS, L. G. BIGGS, N. R. T. PORTER, D. |
author_sort |
BENNETTS, L. G. |
title |
A multi-mode approximation to wave scattering by ice sheets of varying thickness |
title_short |
A multi-mode approximation to wave scattering by ice sheets of varying thickness |
title_full |
A multi-mode approximation to wave scattering by ice sheets of varying thickness |
title_fullStr |
A multi-mode approximation to wave scattering by ice sheets of varying thickness |
title_full_unstemmed |
A multi-mode approximation to wave scattering by ice sheets of varying thickness |
title_sort |
multi-mode approximation to wave scattering by ice sheets of varying thickness |
publisher |
Cambridge University Press (CUP) |
publishDate |
2007 |
url |
http://dx.doi.org/10.1017/s002211200700537x https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S002211200700537X |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 579, page 413-443 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s002211200700537x |
container_title |
Journal of Fluid Mechanics |
container_volume |
579 |
container_start_page |
413 |
op_container_end_page |
443 |
_version_ |
1799481793302233088 |