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https://hdl.handle.net/2440/132464
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Type: | Journal article |
Title: | Complex resonant ice shelf vibrations |
Author: | Bennetts, L.G. Meylan, M.H. |
Citation: | SIAM Journal on Applied Mathematics, 2021; 81(4):1483-1502 |
Publisher: | Society for Industrial and Applied Mathematics |
Issue Date: | 2021 |
ISSN: | 0036-1399 1095-712X |
Statement of Responsibility: | L. G. Bennetts and M. H. Meylan |
Abstract: | The problem of ice shelf vibrations forced by incident waves from the open ocean is considered, using a linear hydroelastic model involving combined thin-plate and potential-flow theories. Complex resonances are shown to generate near-resonant ice shelf responses. An efficient algorithm is developed to capture the complex resonances, based on a homotopy, and initialized with the real-valued eigenfrequencies of a problem in which the ice shelf and subshelf water cavity are uncoupled from the open ocean. It is shown the complex resonances may be used to approximate the reflection coefficient in the frequency domain and the large-time ice shelf response to an incident wave packet. Shelf thickening is shown to have a major effect on complex resonances at midrange frequencies, resulting in difficulty exciting certain near resonances in transient problems. |
Rights: | © 2021, Society for Industrial and Applied Mathematics |
DOI: | 10.1137/20M1385172 |
Grant ID: | http://purl.org/au-research/grants/arc/DP200102828 |
Published version: | http://dx.doi.org/10.1137/20m1385172 |
Appears in Collections: | Mathematical Sciences publications |
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