Articles | Volume 16, issue 2
The Cryosphere, 16, 689–709, 2022
The Cryosphere, 16, 689–709, 2022
Research article
25 Feb 2022
Research article | 25 Feb 2022

A comparison of the stability and performance of depth-integrated ice-dynamics solvers

Alexander Robinson et al.

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Cited articles

Arthern, R. J. and Williams, C. R.: The sensitivity of West Antarctica to the submarine melting feedback, Geophys. Res. Lett., 44, 2352–2359,, 2017. a
Arthern, R. J., Hindmarsh, R. C. A., and Williams, C. R.: Flow speed within the Antarctic ice sheet and its controls inferred from satellite observations, J. Geophys. Res.-Earth, 120, 1171–1188,, 2015. a, b
Blatter, H.: Velocity and stress fields in grounded glaciers – a simple algorithm for including deviatoric stress gradients, J. Glaciol., 41, 333–344, 1995. a
Bueler, E.: Lectures at Karthaus: Numerical modelling of ice sheets and ice shelves, (last access: 23 February 2022), 2009. a
Bueler, E. and Brown, J.: Shallow shelf approximation as a “sliding law” in a thermodynamically coupled ice sheet model, J. Geophys. Res., 114, F03008,, 2009. a
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.