Articles | Volume 6, issue 6
https://doi.org/10.5194/gmd-6-2135-2013
https://doi.org/10.5194/gmd-6-2135-2013
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, N. Kirchner, and P. Lötstedt

Related authors

Impact of the Nares Strait sea ice arches on the long-term stability of the Petermann Glacier ice shelf
Abhay Prakash, Qin Zhou, Tore Hattermann, and Nina Kirchner
The Cryosphere, 17, 5255–5281, https://doi.org/10.5194/tc-17-5255-2023,https://doi.org/10.5194/tc-17-5255-2023, 2023
Short summary
Impact of tides on calving patterns at Kronebreen, Svalbard – insights from three-dimensional ice dynamical modelling
Felicity A. Holmes, Eef van Dongen, Riko Noormets, Michał Pętlicki, and Nina Kirchner
The Cryosphere, 17, 1853–1872, https://doi.org/10.5194/tc-17-1853-2023,https://doi.org/10.5194/tc-17-1853-2023, 2023
Short summary
Climate change in the Baltic Sea region: a summary
H. E. Markus Meier, Madline Kniebusch, Christian Dieterich, Matthias Gröger, Eduardo Zorita, Ragnar Elmgren, Kai Myrberg, Markus P. Ahola, Alena Bartosova, Erik Bonsdorff, Florian Börgel, Rene Capell, Ida Carlén, Thomas Carlund, Jacob Carstensen, Ole B. Christensen, Volker Dierschke, Claudia Frauen, Morten Frederiksen, Elie Gaget, Anders Galatius, Jari J. Haapala, Antti Halkka, Gustaf Hugelius, Birgit Hünicke, Jaak Jaagus, Mart Jüssi, Jukka Käyhkö, Nina Kirchner, Erik Kjellström, Karol Kulinski, Andreas Lehmann, Göran Lindström, Wilhelm May, Paul A. Miller, Volker Mohrholz, Bärbel Müller-Karulis, Diego Pavón-Jordán, Markus Quante, Marcus Reckermann, Anna Rutgersson, Oleg P. Savchuk, Martin Stendel, Laura Tuomi, Markku Viitasalo, Ralf Weisse, and Wenyan Zhang
Earth Syst. Dynam., 13, 457–593, https://doi.org/10.5194/esd-13-457-2022,https://doi.org/10.5194/esd-13-457-2022, 2022
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

Cryosphere
A finite-element framework to explore the numerical solution of the coupled problem of heat conduction, water vapor diffusion, and settlement in dry snow (IvoriFEM v0.1.0)
Julien Brondex, Kévin Fourteau, Marie Dumont, Pascal Hagenmuller, Neige Calonne, François Tuzet, and Henning Löwe
Geosci. Model Dev., 16, 7075–7106, https://doi.org/10.5194/gmd-16-7075-2023,https://doi.org/10.5194/gmd-16-7075-2023, 2023
Short summary
AvaFrame com1DFA (v1.3): a thickness-integrated computational avalanche module – theory, numerics, and testing
Matthias Tonnel, Anna Wirbel, Felix Oesterle, and Jan-Thomas Fischer
Geosci. Model Dev., 16, 7013–7035, https://doi.org/10.5194/gmd-16-7013-2023,https://doi.org/10.5194/gmd-16-7013-2023, 2023
Short summary
Universal differential equations for glacier ice flow modelling
Jordi Bolibar, Facundo Sapienza, Fabien Maussion, Redouane Lguensat, Bert Wouters, and Fernando Pérez
Geosci. Model Dev., 16, 6671–6687, https://doi.org/10.5194/gmd-16-6671-2023,https://doi.org/10.5194/gmd-16-6671-2023, 2023
Short summary
A new model for supraglacial hydrology evolution and drainage for the Greenland Ice Sheet (SHED v1.0)
Prateek Gantayat, Alison F. Banwell, Amber A. Leeson, James M. Lea, Dorthe Petersen, Noel Gourmelen, and Xavier Fettweis
Geosci. Model Dev., 16, 5803–5823, https://doi.org/10.5194/gmd-16-5803-2023,https://doi.org/10.5194/gmd-16-5803-2023, 2023
Short summary
Modeling sensitivities of thermally and hydraulically driven ice stream surge cycling
Kevin Hank, Lev Tarasov, and Elisa Mantelli
Geosci. Model Dev., 16, 5627–5652, https://doi.org/10.5194/gmd-16-5627-2023,https://doi.org/10.5194/gmd-16-5627-2023, 2023
Short summary

Cited articles

Ahlkrona, J., Kirchner, N., and Lötstedt, P.: A numerical study of scaling relations for Non-Newtonian thin film flows with applications in ice sheet modelling, Quart. J. Mech. Appl. Math., 66, 417–435, 2013.
Baral, D. R.: Asymptotic theories of large scale motion, temperature and moisture distributions in land based polythermal ice shields and in floating ice shelves, a critical review and new developments, Ph. D. thesis, Department of Mechanics (III), Technical University Darmstadt, Darmstadt, Germany, 1999.
Baral, D. R., Hutter, K., and Greve, R.: Asymptotic theories of large-scale motion, temperature and moisture distribution in land-based polythermal ice sheets: a critical review and new developments, Appl. Mech. Rev., 54, 215–256, 2001.
Blatter, H.: Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients, J. Glaciol., 41, 333–344, 1995.
Calov, R., Greve, R., Abe-Ouchi, A., Bueler, E., Huybrechts, P., Johnson, J. V., Pattyn, F., Pollard, D., Ritz, C., Saito, F., and Tarasov, L.: R}esults of the Ice Sheet Model Intercomparison Project – Heinrich Event INtercOmparison, {(ISMIP HEINO), J. Glaciol., 56, 371–383, 2010.
Download