A two layer model for wave dissipation in sea ice
Sea ice is highly complex due to the inhomogeneity of the physical properties (e.g. temperature and salinity) as well as the permeability and mixture of water and a matrix of sea ice and/or sea ice crystals. Such complexity has proven itself to be difficult to parameterize in operational wave models...
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ftdatacite:10.48550/arxiv.1805.01134 2023-05-15T18:17:05+02:00 A two layer model for wave dissipation in sea ice Sutherland, Graig Rabault, Jean Christensen, Kai H. Jensen, Atle 2018 https://dx.doi.org/10.48550/arxiv.1805.01134 https://arxiv.org/abs/1805.01134 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Atmospheric and Oceanic Physics physics.ao-ph FOS Physical sciences Preprint Article article CreativeWork 2018 ftdatacite https://doi.org/10.48550/arxiv.1805.01134 2022-04-01T09:40:06Z Sea ice is highly complex due to the inhomogeneity of the physical properties (e.g. temperature and salinity) as well as the permeability and mixture of water and a matrix of sea ice and/or sea ice crystals. Such complexity has proven itself to be difficult to parameterize in operational wave models. Instead, we assume that there exists a self-similarity scaling law which captures the first order properties. Using dimensional analysis, an equation for the kinematic viscosity is derived which is proportional to the wave frequency and the ice thickness squared. In addition, the model allows for a two-layer structure where the oscillating pressure gradient due to wave propagation only exists in a fraction of the total ice thickness. These two assumptions lead to a spatial dissipation rate that is a function of ice thickness and wavenumber. The derived dissipation rate compares favourably with available field and laboratory observations. : Accepted to special issue on wave-ice interaction in Applied Ocean Research. 15 pages, 7 figures Report Sea ice DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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language |
unknown |
topic |
Atmospheric and Oceanic Physics physics.ao-ph FOS Physical sciences |
spellingShingle |
Atmospheric and Oceanic Physics physics.ao-ph FOS Physical sciences Sutherland, Graig Rabault, Jean Christensen, Kai H. Jensen, Atle A two layer model for wave dissipation in sea ice |
topic_facet |
Atmospheric and Oceanic Physics physics.ao-ph FOS Physical sciences |
description |
Sea ice is highly complex due to the inhomogeneity of the physical properties (e.g. temperature and salinity) as well as the permeability and mixture of water and a matrix of sea ice and/or sea ice crystals. Such complexity has proven itself to be difficult to parameterize in operational wave models. Instead, we assume that there exists a self-similarity scaling law which captures the first order properties. Using dimensional analysis, an equation for the kinematic viscosity is derived which is proportional to the wave frequency and the ice thickness squared. In addition, the model allows for a two-layer structure where the oscillating pressure gradient due to wave propagation only exists in a fraction of the total ice thickness. These two assumptions lead to a spatial dissipation rate that is a function of ice thickness and wavenumber. The derived dissipation rate compares favourably with available field and laboratory observations. : Accepted to special issue on wave-ice interaction in Applied Ocean Research. 15 pages, 7 figures |
format |
Report |
author |
Sutherland, Graig Rabault, Jean Christensen, Kai H. Jensen, Atle |
author_facet |
Sutherland, Graig Rabault, Jean Christensen, Kai H. Jensen, Atle |
author_sort |
Sutherland, Graig |
title |
A two layer model for wave dissipation in sea ice |
title_short |
A two layer model for wave dissipation in sea ice |
title_full |
A two layer model for wave dissipation in sea ice |
title_fullStr |
A two layer model for wave dissipation in sea ice |
title_full_unstemmed |
A two layer model for wave dissipation in sea ice |
title_sort |
two layer model for wave dissipation in sea ice |
publisher |
arXiv |
publishDate |
2018 |
url |
https://dx.doi.org/10.48550/arxiv.1805.01134 https://arxiv.org/abs/1805.01134 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1805.01134 |
_version_ |
1766191112686403584 |