A three-dimensional ice-sheet flow solution
An accurate three-dimensional reduced model (shallow-ice approximation) flow with velocity depending on all three spatial coordinates is constructed for the commonly adopted isotropic viscous law with temperature-dependent rate factor. The solution is for steady flow with a prescribed temperature di...
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Online Access: | https://ueaeprints.uea.ac.uk/id/eprint/52692/ https://doi.org/10.3189/002214309788816588 |
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ftuniveastangl:oai:ueaeprints.uea.ac.uk:52692 2023-05-15T16:40:21+02:00 A three-dimensional ice-sheet flow solution Morland, Leslie W. 2009-06-01 https://ueaeprints.uea.ac.uk/id/eprint/52692/ https://doi.org/10.3189/002214309788816588 unknown Morland, Leslie W. (2009) A three-dimensional ice-sheet flow solution. Journal of Glaciology, 55 (191). pp. 473-480. ISSN 0022-1430 doi:10.3189/002214309788816588 Article PeerReviewed 2009 ftuniveastangl https://doi.org/10.3189/002214309788816588 2023-01-30T21:40:34Z An accurate three-dimensional reduced model (shallow-ice approximation) flow with velocity depending on all three spatial coordinates is constructed for the commonly adopted isotropic viscous law with temperature-dependent rate factor. The solution is for steady flow with a prescribed temperature distribution, but can be extended to flow with a coupled energy balance, and to unsteady flow. The accuracy hinges on the reduction to a two-point ordinary differential equation problem for the surface profile, on an unknown span, for which established accurate numerical methods are available. This is achieved by setting one horizontal velocity component in elliptic cylindrical coordinates to zero, but the other two components depend on all three spatial variables. While not of direct physical interest, such an ‘exact’ solution is valuable as a test solution for the large-scale numerical codes commonly used in ice-sheet modelling, which have not yet been subjected to such a comparison. Article in Journal/Newspaper Ice Sheet Journal of Glaciology University of East Anglia: UEA Digital Repository Journal of Glaciology 55 191 473 480 |
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Open Polar |
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University of East Anglia: UEA Digital Repository |
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ftuniveastangl |
language |
unknown |
description |
An accurate three-dimensional reduced model (shallow-ice approximation) flow with velocity depending on all three spatial coordinates is constructed for the commonly adopted isotropic viscous law with temperature-dependent rate factor. The solution is for steady flow with a prescribed temperature distribution, but can be extended to flow with a coupled energy balance, and to unsteady flow. The accuracy hinges on the reduction to a two-point ordinary differential equation problem for the surface profile, on an unknown span, for which established accurate numerical methods are available. This is achieved by setting one horizontal velocity component in elliptic cylindrical coordinates to zero, but the other two components depend on all three spatial variables. While not of direct physical interest, such an ‘exact’ solution is valuable as a test solution for the large-scale numerical codes commonly used in ice-sheet modelling, which have not yet been subjected to such a comparison. |
format |
Article in Journal/Newspaper |
author |
Morland, Leslie W. |
spellingShingle |
Morland, Leslie W. A three-dimensional ice-sheet flow solution |
author_facet |
Morland, Leslie W. |
author_sort |
Morland, Leslie W. |
title |
A three-dimensional ice-sheet flow solution |
title_short |
A three-dimensional ice-sheet flow solution |
title_full |
A three-dimensional ice-sheet flow solution |
title_fullStr |
A three-dimensional ice-sheet flow solution |
title_full_unstemmed |
A three-dimensional ice-sheet flow solution |
title_sort |
three-dimensional ice-sheet flow solution |
publishDate |
2009 |
url |
https://ueaeprints.uea.ac.uk/id/eprint/52692/ https://doi.org/10.3189/002214309788816588 |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_relation |
Morland, Leslie W. (2009) A three-dimensional ice-sheet flow solution. Journal of Glaciology, 55 (191). pp. 473-480. ISSN 0022-1430 doi:10.3189/002214309788816588 |
op_doi |
https://doi.org/10.3189/002214309788816588 |
container_title |
Journal of Glaciology |
container_volume |
55 |
container_issue |
191 |
container_start_page |
473 |
op_container_end_page |
480 |
_version_ |
1766030740175192064 |