On the calculation of normal modes of a coupled ice-shelf/sub-ice-shelf cavity system

A corrected solution method is presented for a mathematical model of wave motions in a coupled ice-shelf/sub-iceshelf water-cavity system. The method is used to calculate the periods of the system’s normal modes, and the longest periods are shown to be significantly larger than those calculated usin...

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Bibliographic Details
Published in:Journal of Glaciology
Main Authors: Meylan, M., Bennetts, L., Hosking, R., Catt, E.
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press 2017
Subjects:
Elliot
Luke
Ice Shelf
Journal of Glaciology
Online Access:http://hdl.handle.net/2440/110227
https://doi.org/10.1017/jog.2017.27
Description
Summary:A corrected solution method is presented for a mathematical model of wave motions in a coupled ice-shelf/sub-iceshelf water-cavity system. The method is used to calculate the periods of the system’s normal modes, and the longest periods are shown to be significantly larger than those calculated using an existing method containing errors. Highly accurate approximations of the normal-mode periods are obtained for a model involving a single non-spectral physical parameter - the shelf/cavity length. Michael H. Meylan, Luke G. Bennetts, Roger J. Hosking, Elliot Catt

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