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...

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Bibliographic Details
Published in:Journal of Fluids and Structures
Main Authors: Williams, Timothy D C, Porter, Richard
Format: Article in Journal/Newspaper
Language:English
Published: 2009
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
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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.