Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation
This paper assesses a two-dimensional, vertically integrated ice model for its numerical properties in the calculation of ice-sheet evolution on a sloping bed using the shallow-ice approximation. We discuss the influence of initial conditions and individual model parameters on the model’s numerical...
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ftunivutrecht:oai:dspace.library.uu.nl:1874/42745 2023-07-23T04:19:49+02:00 Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation van den Berg, J. van de Wal, R.S.W. Oerlemans, J. Marine and Atmospheric Research Dep Natuurkunde Sub Dynamics Meteorology 2006 image/pdf https://dspace.library.uu.nl/handle/1874/42745 other unknown 0022-1430 https://dspace.library.uu.nl/handle/1874/42745 info:eu-repo/semantics/OpenAccess Article 2006 ftunivutrecht 2023-07-01T23:41:39Z This paper assesses a two-dimensional, vertically integrated ice model for its numerical properties in the calculation of ice-sheet evolution on a sloping bed using the shallow-ice approximation. We discuss the influence of initial conditions and individual model parameters on the model’s numerical behaviour, with emphasis on varying spatial discretizations. The modelling results suffer badly from numerical problems. They show a strong dependence on gridcell size and we conclude that the widely used gridcell spacing of 20km is too coarse. The numerical errors are small in each single timestep, but increase non-linearly over time and with volume change, as a result of feedback of the mass balance with height. We propose a new method for the calculation of the surface gradient near the margin, which improves the results significantly. Furthermore, we show that we may use dimension analysis as a tool to explain in which situations numerical problems are to be expected. Article in Journal/Newspaper Ice Sheet Utrecht University Repository |
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Open Polar |
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Utrecht University Repository |
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ftunivutrecht |
language |
unknown |
description |
This paper assesses a two-dimensional, vertically integrated ice model for its numerical properties in the calculation of ice-sheet evolution on a sloping bed using the shallow-ice approximation. We discuss the influence of initial conditions and individual model parameters on the model’s numerical behaviour, with emphasis on varying spatial discretizations. The modelling results suffer badly from numerical problems. They show a strong dependence on gridcell size and we conclude that the widely used gridcell spacing of 20km is too coarse. The numerical errors are small in each single timestep, but increase non-linearly over time and with volume change, as a result of feedback of the mass balance with height. We propose a new method for the calculation of the surface gradient near the margin, which improves the results significantly. Furthermore, we show that we may use dimension analysis as a tool to explain in which situations numerical problems are to be expected. |
author2 |
Marine and Atmospheric Research Dep Natuurkunde Sub Dynamics Meteorology |
format |
Article in Journal/Newspaper |
author |
van den Berg, J. van de Wal, R.S.W. Oerlemans, J. |
spellingShingle |
van den Berg, J. van de Wal, R.S.W. Oerlemans, J. Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
author_facet |
van den Berg, J. van de Wal, R.S.W. Oerlemans, J. |
author_sort |
van den Berg, J. |
title |
Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
title_short |
Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
title_full |
Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
title_fullStr |
Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
title_full_unstemmed |
Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
title_sort |
effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation |
publishDate |
2006 |
url |
https://dspace.library.uu.nl/handle/1874/42745 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
0022-1430 https://dspace.library.uu.nl/handle/1874/42745 |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1772183249539301376 |