The effect of submergence on the scattering by the interface between two semi-infinite sheets
This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different pr...
Published in: | Journal of Fluids and Structures |
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Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
2009
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Subjects: | |
Online Access: | https://hdl.handle.net/1983/ba2d2d0a-2cc1-46a7-8fa0-2002e75783a8 https://research-information.bris.ac.uk/en/publications/ba2d2d0a-2cc1-46a7-8fa0-2002e75783a8 https://doi.org/10.1016/j.jfluidstructs.2009.02.001 http://www.sciencedirect.com/science/article/pii/S0889974609000139 |
Summary: | This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved. |
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