Articles | Volume 16, issue 2
https://doi.org/10.5194/tc-16-689-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/tc-16-689-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
25 Feb 2022
Research article |
| 25 Feb 2022
| 25 Feb 2022
A comparison of the stability and performance of depth-integrated ice-dynamics solvers
Department of Earth Science and Astrophysics, Complutense University of Madrid, Madrid, Spain
Geosciences Institute CSIC-UCM, Madrid, Spain
Potsdam Institute for Climate Impact Research, Potsdam, Germany
Climate and Global Dynamics Laboratory, National Center for Atmospheric Research, Boulder, CO 80305, USA
Daniel Goldberg
School of GeoSciences, University of Edinburgh, Edinburgh, UK
William H. Lipscomb
Climate and Global Dynamics Laboratory, National Center for Atmospheric Research, Boulder, CO 80305, USA
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Cited
22 citations as recorded by crossref.
- A shallow approximation for ice streams sliding over strong beds K. Warburton et al.
- Snapshot and time-dependent inversions of basal sliding using automatic generation of adjoint code on graphics processing units I. Utkin et al.
- Hysteresis of the Greenland ice sheet from the Last Glacial Maximum to the future L. Gutiérrez-González et al.
- The Utrecht Finite Volume Ice-Sheet Model (UFEMISM) version 2.0 – Part 1: Description and idealised experiments C. Berends et al.
- Performance analysis of high-resolution ice-sheet simulations E. Bueler
- Weak form shallow ice approximation models with an improved time-step restriction I. Tominec & J. Ahlkrona
- A framework for three-dimensional dynamic modeling of mountain glaciers in the Community Ice Sheet Model (CISM v2.2) S. Minallah et al.
- Benchmarking the vertically integrated ice-sheet model IMAU-ICE (version 2.0) C. Berends et al.
- Antarctic tipping points triggered by the mid-Pliocene warm climate J. Blasco et al.
- Description and validation of the ice-sheet model Nix v1.0 D. Moreno-Parada et al.
- Multifidelity deep operator networks for data-driven and physics-informed problems A. Howard et al.
- Simulating the Laurentide Ice Sheet of the Last Glacial Maximum D. Moreno-Parada et al.
- Present-day mass loss rates are a precursor for West Antarctic Ice Sheet collapse T. van den Akker et al.
- Competing processes determine the long-term impact of basal friction parameterizations for Antarctic mass loss T. van den Akker et al.
- Overshooting the critical threshold for the Greenland ice sheet N. Bochow et al.
- Modelling feedbacks between the Northern Hemisphere ice sheets and climate during the last glacial cycle M. Scherrenberg et al.
- Increasing numerical stability of mountain valley glacier simulations: implementation and testing of free-surface stabilization in Elmer/Ice A. Löfgren et al.
- Interactive coupling of a Greenland ice sheet model in NorESM2 H. Goelzer et al.
- Holocene thinning in central Greenland controlled by the Northeast Greenland Ice Stream I. Tabone et al.
- Antarctic sensitivity to oceanic melting parameterizations A. Juarez-Martinez et al.
- A topographically controlled tipping point for complete Greenland ice sheet melt M. Petrini et al.
- The effect of the present-day imbalance on schematic and climate forced simulations of the West Antarctic Ice Sheet collapse T. van den Akker et al.
22 citations as recorded by crossref.
- A shallow approximation for ice streams sliding over strong beds K. Warburton et al.
- Snapshot and time-dependent inversions of basal sliding using automatic generation of adjoint code on graphics processing units I. Utkin et al.
- Hysteresis of the Greenland ice sheet from the Last Glacial Maximum to the future L. Gutiérrez-González et al.
- The Utrecht Finite Volume Ice-Sheet Model (UFEMISM) version 2.0 – Part 1: Description and idealised experiments C. Berends et al.
- Performance analysis of high-resolution ice-sheet simulations E. Bueler
- Weak form shallow ice approximation models with an improved time-step restriction I. Tominec & J. Ahlkrona
- A framework for three-dimensional dynamic modeling of mountain glaciers in the Community Ice Sheet Model (CISM v2.2) S. Minallah et al.
- Benchmarking the vertically integrated ice-sheet model IMAU-ICE (version 2.0) C. Berends et al.
- Antarctic tipping points triggered by the mid-Pliocene warm climate J. Blasco et al.
- Description and validation of the ice-sheet model Nix v1.0 D. Moreno-Parada et al.
- Multifidelity deep operator networks for data-driven and physics-informed problems A. Howard et al.
- Simulating the Laurentide Ice Sheet of the Last Glacial Maximum D. Moreno-Parada et al.
- Present-day mass loss rates are a precursor for West Antarctic Ice Sheet collapse T. van den Akker et al.
- Competing processes determine the long-term impact of basal friction parameterizations for Antarctic mass loss T. van den Akker et al.
- Overshooting the critical threshold for the Greenland ice sheet N. Bochow et al.
- Modelling feedbacks between the Northern Hemisphere ice sheets and climate during the last glacial cycle M. Scherrenberg et al.
- Increasing numerical stability of mountain valley glacier simulations: implementation and testing of free-surface stabilization in Elmer/Ice A. Löfgren et al.
- Interactive coupling of a Greenland ice sheet model in NorESM2 H. Goelzer et al.
- Holocene thinning in central Greenland controlled by the Northeast Greenland Ice Stream I. Tabone et al.
- Antarctic sensitivity to oceanic melting parameterizations A. Juarez-Martinez et al.
- A topographically controlled tipping point for complete Greenland ice sheet melt M. Petrini et al.
- The effect of the present-day imbalance on schematic and climate forced simulations of the West Antarctic Ice Sheet collapse T. van den Akker et al.
Saved (final revised paper)
Latest update: 11 May 2026
Short summary
Here we investigate the numerical stability of several commonly used methods in order to determine which of them are capable of resolving the complex physics of the ice flow and are also computationally efficient. We find that the so-called DIVA solver outperforms the others. Its representation of the physics is consistent with more complex methods, while it remains computationally efficient at high resolution.
Here we investigate the numerical stability of several commonly used methods in order to...
