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

Bonan, B., Baines, M., Nichols, N. ORCID: https://orcid.org/0000-0003-1133-5220 and Partridge, D. (2016) A moving-point approach to model shallow ice sheets: a study case with radially symmetrical ice sheets. The Cryosphere, 10 (1). pp. 1-14. ISSN 1994-0424 doi: 10.5194/tc-10-1-2016

Abstract/Summary

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/52850
Identification Number/DOI	10.5194/tc-10-1-2016
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Publisher	European Geosciences Union
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