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https://doi.org/10.5194/egusphere-2024-3610
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/egusphere-2024-3610
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
Preprints
19 Dec 2024
 | 19 Dec 2024
Status: this preprint is open for discussion.

Brief communication: velocities and thinning rates for Halfar’s analytical solution to the Shallow Ice Approximation

Constantijn J. Berends

Abstract. Analytical solutions to approximations of the Stokes equations are invaluable tools for verifying numerical ice-sheet models. Halfar (1981) derived a time-dependent solution to the Shallow Ice Approximation (SIA). Here, I derive the associated ice velocity vector field, and the resulting thinning rates, which may serve as additional checks for numerical ice-sheet models.

How to cite. Berends, C. J.: Brief communication: velocities and thinning rates for Halfar’s analytical solution to the Shallow Ice Approximation, EGUsphere [preprint], https://doi.org/10.5194/egusphere-2024-3610, 2024.
Received: 19 Nov 2024 – Discussion started: 19 Dec 2024
Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
Constantijn J. Berends

Status: open (until 30 Jan 2025)

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Constantijn J. Berends
Constantijn J. Berends
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Latest update: 19 Dec 2024
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Short summary
Computer models of ice sheets solve mathematical equations describing the physics of flowing ice. While observations from satellites or other sources can be used to check if these equations describe the ice sheet correctly, one must first ensure the model solves the equations correctly. I here present a small extension to a previously derived solution on paper to one of those equations, so that modellers can verify their models.
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