Warburton, KLP;
Hewitt, DR;
Meyer, CR;
Neufeld, JA;
(2023)
A shallow approximation for ice streams sliding over strong beds.
Journal of Glaciology
10.1017/jog.2023.47.
(In press).
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Abstract
Ice streams are regions of rapid ice sheet flow characterised by a high degree of sliding over a deforming bed. The shallow shelf approximation (SSA) provides a convenient way to obtain closed-form approximations of the velocity and flux in a rapidly sliding ice stream when the basal drag is much less than the driving stress. However, the validity of the SSA approximation breaks down when the magnitude of the basal drag increases. Here we find a more accurate expression for the velocity and flux in this transitional regime before vertical deformation fully dominates, in agreement with numerical results. The closed-form expressions we derive can be incorporated into wider modelling efforts to yield a better characterisation of ice stream dynamics, and inform the use of the SSA in large-scale simulations.
| Type: | Article |
|---|---|
| Title: | A shallow approximation for ice streams sliding over strong beds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jog.2023.47 |
| Publisher version: | https://doi.org/10.1017/jog.2023.47 |
| Language: | English |
| Additional information: | Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The International Glaciological Society. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. |
| Keywords: | glacier flow, glacial rheology, ice dynamics, ice streams |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10175309 |
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