The dynamics of unstable waves in sea ice

Alberello, Alberto ORCID: https://orcid.org/0000-0001-7957-4012, Parau, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 and Chabchoub, Amin (2023) The dynamics of unstable waves in sea ice. Scientific Reports, 13. ISSN 2045-2322

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Abstract

Wave and sea ice properties in the Arctic and Southern Oceans are linked by feedback mechanisms, therefore the understanding of wave propagation in these regions is essential to model this key component of the Earth climate system. The most striking effect of sea ice is the attenuation of waves at a rate proportional to their frequency. The nonlinear Schrödinger equation (NLS), a fundamental model for ocean waves, describes the full growth-decay cycles of unstable modes, also known as modulational instability (MI). Here, a dissipative NLS (d-NLS) with characteristic sea ice attenuation is used to model the evolution of unstable waves. The MI in sea ice is preserved, however, in its phase-shifted form. The frequency-dependent dissipation breaks the symmetry between the dominant left and right sideband. We anticipate that this work may motivate analogous studies and experiments in wave systems subject to frequency-dependent energy attenuation.

Item Type: Article
Additional Information: Acknowledgements: The research presented in this paper was carried out on the High Performance Computing Cluster supported by the Research and Specialist Computing Support service at the University of East Anglia. AA acknowledges Dr. Davide Proment and Dr. Alberto Villois for interesting discussions. AC acknowledges support from Kyoto University’s Hakubi Center for Advanced Research.
Uncontrolled Keywords: sdg 13 - climate action ,/dk/atira/pure/sustainabledevelopmentgoals/climate_action
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
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Depositing User: LivePure Connector
Date Deposited: 22 Aug 2023 13:30
Last Modified: 05 Sep 2023 10:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/92910
DOI: 10.1038/s41598-023-40696-3

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