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The Cryosphere An interactive open-access journal of the European Geosciences Union
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Volume 10, issue 1
The Cryosphere, 10, 1-14, 2016
https://doi.org/10.5194/tc-10-1-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
The Cryosphere, 10, 1-14, 2016
https://doi.org/10.5194/tc-10-1-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 15 Jan 2016

Research article | 15 Jan 2016

A moving-point approach to model shallow ice sheets: a study case with radially symmetrical ice sheets

B. Bonan, M. J. Baines, N. K. Nichols, and D. Partridge B. Bonan et al.
  • School of Mathematical and Physical Sciences, University of Reading, Reading, UK

Abstract. Predicting the evolution of ice sheets requires numerical models able to accurately track the migration of ice sheet continental margins or grounding lines. We introduce a physically based moving-point approach for the flow of ice sheets based on the conservation of local masses. This allows the ice sheet margins to be tracked explicitly. Our approach is also well suited to capture waiting-time behaviour efficiently. A finite-difference moving-point scheme is derived and applied in a simplified context (continental radially symmetrical shallow ice approximation). The scheme, which is inexpensive, is verified by comparing the results with steady states obtained from an analytic solution and with exact moving-margin transient solutions. In both cases the scheme is able to track the position of the ice sheet margin with high accuracy.

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This paper introduce a moving-point approach to model the flow of ice sheets. This particular moving-grid numerical approach is based on the conservation of local masses. This allows the ice sheet margins to be tracked explicitly. A finite-difference moving-point scheme is derived and applied in a simplified context (1-D). The conservation method is also suitable for 2-D scenarios. This paper is a first step towards applications of the conservation method to realistic 2-D cases.
This paper introduce a moving-point approach to model the flow of ice sheets. This particular...
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