Articles | Volume 17, issue 16
https://doi.org/10.5194/gmd-17-6227-2024
https://doi.org/10.5194/gmd-17-6227-2024
Development and technical paper
 | 
22 Aug 2024
Development and technical paper |  | 22 Aug 2024

Numerical stabilization methods for level-set-based ice front migration

Gong Cheng, Mathieu Morlighem, and G. Hilmar Gudmundsson

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Cited articles

Benn, D. I. and Astrom, J. A.: Calving glaciers and ice shelves, Adv. Phys.-X, 3, 1513819, https://doi.org/10.1080/23746149.2018.1513819, 2018. a
Biswas, R., Devine, K. D., and Flahert, J. E.: Parallel, adaptive finite element methods for conservation laws, Appl. Numer. Math., 14, 255–283, https://doi.org/10.1016/0168-9274(94)90029-9, 1994. a
Black, T. E. and Joughin, I.: Weekly to monthly terminus variability of Greenland's marine-terminating outlet glaciers, The Cryosphere, 17, 1–13, https://doi.org/10.5194/tc-17-1-2023, 2023. a, b
Bondzio, J., Morlighem, M., Seroussi, H., Kleiner, T., Ruckamp, M., Mouginot, J., Moon, T., Larour, E., and Humbert, A.: The mechanisms behind Jakobshavn Isbræ's acceleration and mass loss: A 3-D thermomechanical model study, Geophys. Res. Lett., 44, 6252–6260, https://doi.org/10.1002/2017GL073309, 2017. a
Bondzio, J. H., Seroussi, H., Morlighem, M., Kleiner, T., Rückamp, M., Humbert, A., and Larour, E. Y.: Modelling calving front dynamics using a level-set method: application to Jakobshavn Isbræ, West Greenland, The Cryosphere, 10, 497–510, https://doi.org/10.5194/tc-10-497-2016, 2016. a, b, c
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We conducted a comprehensive analysis of the stabilization and reinitialization techniques currently employed in ISSM and Úa for solving level-set equations, specifically those related to the dynamic representation of moving ice fronts within numerical ice sheet models. Our results demonstrate that the streamline upwind Petrov–Galerkin (SUPG) method outperforms the other approaches. We found that excessively frequent reinitialization can lead to exceptionally high errors in simulations.
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