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

Model code and software

enigne/Levelset: Level-set Stabilization (v1.1) Gong Cheng https://doi.org/10.5281/zenodo.10454657

GHilmarG/UaSource: Ua2019b H. Gudmundsson https://doi.org/10.5281/zenodo.3706624

Ice-sheet and Sea-level System Model source code, v4.23 r27696 ISSM Team https://doi.org/10.5281/zenodo.7850841

Video supplement

Animations of the evolution of misfits Gong Cheng https://doi.org/10.5281/zenodo.10454554

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Short summary
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.