Articles | Volume 6, issue 6
https://doi.org/10.5194/gmd-6-2135-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-6-2135-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Model evaluation paper
| 
19 Dec 2013
Model evaluation paper |
| 19 Dec 2013
Accuracy of the zeroth- and second-order shallow-ice approximation – numerical and theoretical results
J. Ahlkrona
Division of Scientific Computing, Department of Information Technology, Uppsala University, Uppsala, Sweden
Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden
N. Kirchner
Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden
Department of Physical Geography and Quaternary Geology, Stockholm University, Stockholm, Sweden
P. Lötstedt
Division of Scientific Computing, Department of Information Technology, Uppsala University, Uppsala, Sweden
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Cited
14 citations as recorded by crossref.
- Direct reconstruction of glacier bedrock from known free surface data using the one-dimensional shallow ice approximation A. Gessese et al. https://doi.org/10.1016/j.geomorph.2014.09.015
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models: A discussion of their roles in palaeo-ice sheet modelling and development N. Kirchner et al. https://doi.org/10.1016/j.quascirev.2016.01.013
- 2D analysis of rifts in ice shelves M. Forbes & C. Hulbe https://doi.org/10.1017/jog.2024.108
- Numerical simulation of the flow velocity and change in the future of the SG4 W. Zhen et al. https://doi.org/10.1007/s12517-015-2284-7
- The Young’s modulus of an Antarctic iceberg: The first estimate from a coupled fluid–elasticity model constrained by reconstructed in-situ data M. Bonham & M. Meylan https://doi.org/10.1016/j.ocemod.2026.102699
- Accurate and stable time stepping in ice sheet modeling G. Cheng et al. https://doi.org/10.1016/j.jcp.2016.10.060
- Conceptual thoughts on continuum damage mechanics for shallow ice shelves A. Keller & K. Hutter https://doi.org/10.3189/2014JoG14J010
- Basal shear stress under alpine glaciers: insights from experiments using the iSOSIA and Elmer/Ice models C. Brædstrup et al. https://doi.org/10.5194/esurf-4-159-2016
- Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology: Description and first applications of the ISCAL method J. Ahlkrona et al. https://doi.org/10.1016/j.jcp.2015.12.025
- Thermo-hydro-mechanical processes in fractured rock formations during a glacial advance A. Selvadurai et al. https://doi.org/10.5194/gmd-8-2167-2015
- Comparison of ice dynamics using full-Stokes and Blatter–Pattyn approximation: application to the Northeast Greenland Ice Stream M. Rückamp et al. https://doi.org/10.5194/tc-16-1675-2022
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models: A discussion of their roles in palaeo-ice sheet modelling and development N. Kirchner et al. https://doi.org/10.1016/j.quascirev.2016.01.032
- Numerical simulation of the flow velocity and temperature of the Dongkemadi Glacier W. Zhen et al. https://doi.org/10.1007/s12665-016-5262-9
- Stabilized equal low-order finite elements in ice sheet modeling – accuracy and robustness C. Helanow & J. Ahlkrona https://doi.org/10.1007/s10596-017-9713-5
14 citations as recorded by crossref.
- Direct reconstruction of glacier bedrock from known free surface data using the one-dimensional shallow ice approximation A. Gessese et al. https://doi.org/10.1016/j.geomorph.2014.09.015
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models: A discussion of their roles in palaeo-ice sheet modelling and development N. Kirchner et al. https://doi.org/10.1016/j.quascirev.2016.01.013
- 2D analysis of rifts in ice shelves M. Forbes & C. Hulbe https://doi.org/10.1017/jog.2024.108
- Numerical simulation of the flow velocity and change in the future of the SG4 W. Zhen et al. https://doi.org/10.1007/s12517-015-2284-7
- The Young’s modulus of an Antarctic iceberg: The first estimate from a coupled fluid–elasticity model constrained by reconstructed in-situ data M. Bonham & M. Meylan https://doi.org/10.1016/j.ocemod.2026.102699
- Accurate and stable time stepping in ice sheet modeling G. Cheng et al. https://doi.org/10.1016/j.jcp.2016.10.060
- Conceptual thoughts on continuum damage mechanics for shallow ice shelves A. Keller & K. Hutter https://doi.org/10.3189/2014JoG14J010
- Basal shear stress under alpine glaciers: insights from experiments using the iSOSIA and Elmer/Ice models C. Brædstrup et al. https://doi.org/10.5194/esurf-4-159-2016
- Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology: Description and first applications of the ISCAL method J. Ahlkrona et al. https://doi.org/10.1016/j.jcp.2015.12.025
- Thermo-hydro-mechanical processes in fractured rock formations during a glacial advance A. Selvadurai et al. https://doi.org/10.5194/gmd-8-2167-2015
- Comparison of ice dynamics using full-Stokes and Blatter–Pattyn approximation: application to the Northeast Greenland Ice Stream M. Rückamp et al. https://doi.org/10.5194/tc-16-1675-2022
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models: A discussion of their roles in palaeo-ice sheet modelling and development N. Kirchner et al. https://doi.org/10.1016/j.quascirev.2016.01.032
- Numerical simulation of the flow velocity and temperature of the Dongkemadi Glacier W. Zhen et al. https://doi.org/10.1007/s12665-016-5262-9
- Stabilized equal low-order finite elements in ice sheet modeling – accuracy and robustness C. Helanow & J. Ahlkrona https://doi.org/10.1007/s10596-017-9713-5
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