Seasonal evolution of the Arctic sea ice thickness distribution ...
The Thorndike et al., (\emph{J. Geophys. Res.} {\bf 80} 4501, 1975) theory of the ice thickness distribution, $g(h)$, treats the dynamic and thermodynamic aggregate properties of the ice pack in a novel and physically self-consistent manner. Therefore, it has provided the conceptual basis of the tre...
| Main Authors: | , , |
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| Format: | Text |
| Language: | unknown |
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arXiv
2022
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.2212.02131 https://arxiv.org/abs/2212.02131 |
| Summary: | The Thorndike et al., (\emph{J. Geophys. Res.} {\bf 80} 4501, 1975) theory of the ice thickness distribution, $g(h)$, treats the dynamic and thermodynamic aggregate properties of the ice pack in a novel and physically self-consistent manner. Therefore, it has provided the conceptual basis of the treatment of sea-ice thickness categories in climate models. The approach, however, is not mathematically closed due to the treatment of mechanical deformation using the redistribution function $ψ$, the authors noting ``The present theory suffers from a burdensome and arbitrary redistribution function $ψ.$'' Toppaladoddi and Wettlaufer (\emph{Phys. Rev. Lett.} {\bf 115} 148501, 2015) showed how $ψ$ can be written in terms of $g(h)$, thereby solving the mathematical closure problem and writing the theory in terms of a Fokker-Planck equation, which they solved analytically to quantitatively reproduce the observed winter $g(h)$. Here, we extend this approach to include open water by formulating a new boundary condition ... : 8 pages, 10 figures ... |
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