Three-dimensional time-domain scattering of waves in the marginal ice zone
Three-dimensional scattering of ocean surface waves in the marginal ice zone (MIZ) is determined in the time domain. The solution is found using spectral analysis of the linear operator for the Boltzmann equation. The method to calculate the scattering kernel that arises in the Boltzmann model from...
Published in: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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ftunivadelaidedl:oai:digital.library.adelaide.edu.au:2440/118301 2023-12-17T10:49:51+01:00 Three-dimensional time-domain scattering of waves in the marginal ice zone Meylan, M. Bennetts, L. 2018 application/pdf http://hdl.handle.net/2440/118301 https://doi.org/10.1098/rsta.2017.0334 en eng The Royal Society http://purl.org/au-research/grants/arc/IC170100006 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018; 376(2129):20170334-1-20170334-19 1364-503X 1471-2962 http://hdl.handle.net/2440/118301 doi:10.1098/rsta.2017.0334 Bennetts, L. [0000-0001-9386-7882] © 2018 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. http://dx.doi.org/10.1098/rsta.2017.0334 Sea ice wave scattering marginal ice zone Journal article 2018 ftunivadelaidedl https://doi.org/10.1098/rsta.2017.0334 2023-11-20T23:20:31Z Three-dimensional scattering of ocean surface waves in the marginal ice zone (MIZ) is determined in the time domain. The solution is found using spectral analysis of the linear operator for the Boltzmann equation. The method to calculate the scattering kernel that arises in the Boltzmann model from the single-floe solution is also presented along with new identities for the far-field scattering, which can be used to validate the single-floe solution. The spectrum of the operator is computed, and it is shown to have a universal structure under a special non-dimensionalization. This universal structure implies that under a scaling wave scattering in the MIZ has similar properties for a large range of ice types and wave periods. A scattering theory solution using fast Fourier transforms is given to find the solution for directional incident wave packets. A numerical solution method is also given using the split-step method and this is used to validate the spectral solution. Numerical calculations of the evolution of a typical wave field are presented. This article is part of the theme issue 'Modelling of sea-ice phenomena'. M.H. Meylan and L.G. Bennetts Article in Journal/Newspaper Sea ice The University of Adelaide: Digital Library Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 2129 20170334 |
institution |
Open Polar |
collection |
The University of Adelaide: Digital Library |
op_collection_id |
ftunivadelaidedl |
language |
English |
topic |
Sea ice wave scattering marginal ice zone |
spellingShingle |
Sea ice wave scattering marginal ice zone Meylan, M. Bennetts, L. Three-dimensional time-domain scattering of waves in the marginal ice zone |
topic_facet |
Sea ice wave scattering marginal ice zone |
description |
Three-dimensional scattering of ocean surface waves in the marginal ice zone (MIZ) is determined in the time domain. The solution is found using spectral analysis of the linear operator for the Boltzmann equation. The method to calculate the scattering kernel that arises in the Boltzmann model from the single-floe solution is also presented along with new identities for the far-field scattering, which can be used to validate the single-floe solution. The spectrum of the operator is computed, and it is shown to have a universal structure under a special non-dimensionalization. This universal structure implies that under a scaling wave scattering in the MIZ has similar properties for a large range of ice types and wave periods. A scattering theory solution using fast Fourier transforms is given to find the solution for directional incident wave packets. A numerical solution method is also given using the split-step method and this is used to validate the spectral solution. Numerical calculations of the evolution of a typical wave field are presented. This article is part of the theme issue 'Modelling of sea-ice phenomena'. M.H. Meylan and L.G. Bennetts |
format |
Article in Journal/Newspaper |
author |
Meylan, M. Bennetts, L. |
author_facet |
Meylan, M. Bennetts, L. |
author_sort |
Meylan, M. |
title |
Three-dimensional time-domain scattering of waves in the marginal ice zone |
title_short |
Three-dimensional time-domain scattering of waves in the marginal ice zone |
title_full |
Three-dimensional time-domain scattering of waves in the marginal ice zone |
title_fullStr |
Three-dimensional time-domain scattering of waves in the marginal ice zone |
title_full_unstemmed |
Three-dimensional time-domain scattering of waves in the marginal ice zone |
title_sort |
three-dimensional time-domain scattering of waves in the marginal ice zone |
publisher |
The Royal Society |
publishDate |
2018 |
url |
http://hdl.handle.net/2440/118301 https://doi.org/10.1098/rsta.2017.0334 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
http://dx.doi.org/10.1098/rsta.2017.0334 |
op_relation |
http://purl.org/au-research/grants/arc/IC170100006 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018; 376(2129):20170334-1-20170334-19 1364-503X 1471-2962 http://hdl.handle.net/2440/118301 doi:10.1098/rsta.2017.0334 Bennetts, L. [0000-0001-9386-7882] |
op_rights |
© 2018 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
op_doi |
https://doi.org/10.1098/rsta.2017.0334 |
container_title |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
376 |
container_issue |
2129 |
container_start_page |
20170334 |
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1785574431900303360 |