Modelling wave-induced sea ice break-up in the marginal ice zone
A model of ice floe break-up under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave break-up events. A three-dimensional linear model of ocean wave scattering by a finite array of compliant circular ice floes is...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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crroyalsociety:10.1098/rspa.2017.0258 2024-06-23T07:56:43+00:00 Modelling wave-induced sea ice break-up in the marginal ice zone Montiel, F. Squire, V. A. Office of Naval Research Seventh Framework Programme 2017 http://dx.doi.org/10.1098/rspa.2017.0258 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0258 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2017.0258 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 473, issue 2206, page 20170258 ISSN 1364-5021 1471-2946 journal-article 2017 crroyalsociety https://doi.org/10.1098/rspa.2017.0258 2024-06-04T06:23:04Z A model of ice floe break-up under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave break-up events. A three-dimensional linear model of ocean wave scattering by a finite array of compliant circular ice floes is coupled to a flexural failure model, which breaks a floe into two floes provided the two-dimensional stress field satisfies a break-up criterion. A closed-feedback loop algorithm is devised, which (i) solves the wave-scattering problem for a given FSD under time-harmonic plane wave forcing, (ii) computes the stress field in all the floes, (iii) fractures the floes satisfying the break-up criterion, and (iv) generates an updated FSD, initializing the geometry for the next iteration of the loop. The FSD after 50 break-up events is unimodal and near normal, or bimodal, suggesting waves alone do not govern the power law observed in some field studies. Multiple scattering is found to enhance break-up for long waves and thin ice, but to reduce break-up for short waves and thick ice. A break-up front marches forward in the latter regime, as wave-induced fracture weakens the ice cover, allowing waves to travel deeper into the MIZ. Article in Journal/Newspaper Sea ice The Royal Society Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 2206 20170258 |
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Open Polar |
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The Royal Society |
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crroyalsociety |
language |
English |
description |
A model of ice floe break-up under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave break-up events. A three-dimensional linear model of ocean wave scattering by a finite array of compliant circular ice floes is coupled to a flexural failure model, which breaks a floe into two floes provided the two-dimensional stress field satisfies a break-up criterion. A closed-feedback loop algorithm is devised, which (i) solves the wave-scattering problem for a given FSD under time-harmonic plane wave forcing, (ii) computes the stress field in all the floes, (iii) fractures the floes satisfying the break-up criterion, and (iv) generates an updated FSD, initializing the geometry for the next iteration of the loop. The FSD after 50 break-up events is unimodal and near normal, or bimodal, suggesting waves alone do not govern the power law observed in some field studies. Multiple scattering is found to enhance break-up for long waves and thin ice, but to reduce break-up for short waves and thick ice. A break-up front marches forward in the latter regime, as wave-induced fracture weakens the ice cover, allowing waves to travel deeper into the MIZ. |
author2 |
Office of Naval Research Seventh Framework Programme |
format |
Article in Journal/Newspaper |
author |
Montiel, F. Squire, V. A. |
spellingShingle |
Montiel, F. Squire, V. A. Modelling wave-induced sea ice break-up in the marginal ice zone |
author_facet |
Montiel, F. Squire, V. A. |
author_sort |
Montiel, F. |
title |
Modelling wave-induced sea ice break-up in the marginal ice zone |
title_short |
Modelling wave-induced sea ice break-up in the marginal ice zone |
title_full |
Modelling wave-induced sea ice break-up in the marginal ice zone |
title_fullStr |
Modelling wave-induced sea ice break-up in the marginal ice zone |
title_full_unstemmed |
Modelling wave-induced sea ice break-up in the marginal ice zone |
title_sort |
modelling wave-induced sea ice break-up in the marginal ice zone |
publisher |
The Royal Society |
publishDate |
2017 |
url |
http://dx.doi.org/10.1098/rspa.2017.0258 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0258 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2017.0258 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 473, issue 2206, page 20170258 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.2017.0258 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
473 |
container_issue |
2206 |
container_start_page |
20170258 |
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1802650009986924544 |