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

A corrected solution method is presented for a mathemat-ical model of wave motions in a coupled ice-shelf/sub-ice-shelf 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 us...

Full description

Bibliographic Details
Main Authors: Meylan, Michael H., Bennetts, Luke G., Hosking, Roger J., Catt, Elliot
Other Authors: The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press 2017
Subjects:
wave motions
Antarctica
ice thickness
ice shelf
tsunami
Antarc*
Ice Shelf
Journal of Glaciology
Online Access:http://hdl.handle.net/1959.13/1386894
Description
Summary:A corrected solution method is presented for a mathemat-ical model of wave motions in a coupled ice-shelf/sub-ice-shelf 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 contain-ing 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.

Similar Items