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

Related authors

Smoothed monthly Greenland ice sheet elevation changes during 2003–2023
Shfaqat A. Khan, Helene Seroussi, Mathieu Morlighem, William Colgan, Veit Helm, Gong Cheng, Danjal Berg, Valentina R. Barletta, Nicolaj K. Larsen, William Kochtitzky, Michiel van den Broeke, Kurt H. Kjær, Andy Aschwanden, Brice Noël, Jason E. Box, Joseph A. MacGregor, Robert S. Fausto, Kenneth D. Mankoff, Ian M. Howat, Kuba Oniszk, Dominik Fahrner, Anja Løkkegaard, Eigil Y. H. Lippert, and Javed Hassan
Earth Syst. Sci. Data Discuss., https://doi.org/10.5194/essd-2024-348,https://doi.org/10.5194/essd-2024-348, 2024
Preprint under review for ESSD
Short summary
Calibrating calving parameterizations using graph neural network emulators: Application to Helheim Glacier, East Greenland
Younghyun Koo, Gong Cheng, Mathieu Morlighem, and Maryam Rahnemoonfar
EGUsphere, https://doi.org/10.5194/egusphere-2024-1620,https://doi.org/10.5194/egusphere-2024-1620, 2024
Short summary
Evaluation of four calving laws for Antarctic ice shelves
Joel A. Wilner, Mathieu Morlighem, and Gong Cheng
The Cryosphere, 17, 4889–4901, https://doi.org/10.5194/tc-17-4889-2023,https://doi.org/10.5194/tc-17-4889-2023, 2023
Short summary
Sensitivity of ice sheet surface velocity and elevation to variations in basal friction and topography in the full Stokes and shallow-shelf approximation frameworks using adjoint equations
Gong Cheng, Nina Kirchner, and Per Lötstedt
The Cryosphere, 15, 715–742, https://doi.org/10.5194/tc-15-715-2021,https://doi.org/10.5194/tc-15-715-2021, 2021
Short summary
A full Stokes subgrid scheme in two dimensions for simulation of grounding line migration in ice sheets using Elmer/ICE (v8.3)
Gong Cheng, Per Lötstedt, and Lina von Sydow
Geosci. Model Dev., 13, 2245–2258, https://doi.org/10.5194/gmd-13-2245-2020,https://doi.org/10.5194/gmd-13-2245-2020, 2020
Short summary

Related subject area

Numerical methods
A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2)
Malena Sabaté Landman, Julianne Chung, Jiahua Jiang, Scot M. Miller, and Arvind K. Saibaba
Geosci. Model Dev., 17, 8853–8872, https://doi.org/10.5194/gmd-17-8853-2024,https://doi.org/10.5194/gmd-17-8853-2024, 2024
Short summary
Assimilation of snow water equivalent from AMSR2 and IMS satellite data utilizing the local ensemble transform Kalman filter
Joonlee Lee, Myong-In Lee, Sunlae Tak, Eunkyo Seo, and Yong-Keun Lee
Geosci. Model Dev., 17, 8799–8816, https://doi.org/10.5194/gmd-17-8799-2024,https://doi.org/10.5194/gmd-17-8799-2024, 2024
Short summary
The Paleochrono-1.1 probabilistic model to derive a common age model for several paleoclimatic sites using absolute and relative dating constraints
Frédéric Parrenin, Marie Bouchet, Christo Buizert, Emilie Capron, Ellen Corrick, Russell Drysdale, Kenji Kawamura, Amaëlle Landais, Robert Mulvaney, Ikumi Oyabu, and Sune Olander Rasmussen
Geosci. Model Dev., 17, 8735–8750, https://doi.org/10.5194/gmd-17-8735-2024,https://doi.org/10.5194/gmd-17-8735-2024, 2024
Short summary
Explicit stochastic advection algorithms for the regional-scale particle-resolved atmospheric aerosol model WRF-PartMC (v1.0)
Jeffrey H. Curtis, Nicole Riemer, and Matthew West
Geosci. Model Dev., 17, 8399–8420, https://doi.org/10.5194/gmd-17-8399-2024,https://doi.org/10.5194/gmd-17-8399-2024, 2024
Short summary
The Measurement Error Proxy System Model: MEPSM v0.2
Matt J. Fischer
Geosci. Model Dev., 17, 6745–6760, https://doi.org/10.5194/gmd-17-6745-2024,https://doi.org/10.5194/gmd-17-6745-2024, 2024
Short summary

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
Download
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.