Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 19, issue 6
Articles | Volume 19, issue 6
https://doi.org/10.5194/gmd-19-2333-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-19-2333-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 19, issue 6
Development and technical paper
 | 
23 Mar 2026
Development and technical paper |  | 23 Mar 2026

A fully implicit second order method for viscous free surface Stokes flow – application to glacier simulations

Josefin Ahlkrona, A. Clara J. Henry, and André Löfgren

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Latest update: 22 Jul 2026
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Short summary
This paper leverages the Free Surface Stabilization Algorithm of Kaus et al. (2010) to construct a fully implicit discretization of viscous free surface flows. It also presents the first second order accurate time-stepping scheme applicable to ice sheet models. We test the new method on an idealized problem and on a 2D glacier simulation. The results indicates that the method has great potential to speedup ice sheet models.
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