Articles | Volume 13, issue 5
Development and technical paper
13 May 2020
Development and technical paper |  | 13 May 2020

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

Related authors

Evaluation of four calving laws for Antarctic ice shelves
Joel A. Wilner, Mathieu Morlighem, and Gong Cheng
The Cryosphere, 17, 4889–4901,,, 2023
Short summary
Numerical stabilization methods for level-set-based ice front migration
Gong Cheng, Mathieu Morlighem, and G. Hilmar Gudmundsson
Geosci. Model Dev. Discuss.,,, 2023
Preprint under review for GMD
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,,, 2021
Short summary
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations
Gong Cheng and Per Lötstedt
The Cryosphere, 14, 673–691,,, 2020
Short summary
Thermal conductivity of firn at Lomonosovfonna, Svalbard, derived from subsurface temperature measurements
Sergey Marchenko, Gong Cheng, Per Lötstedt, Veijo Pohjola, Rickard Pettersson, Ward van Pelt, and Carleen Reijmer
The Cryosphere, 13, 1843–1859,,, 2019
Short summary

Related subject area

Numerical methods
P3D-BRNS v1.0.0: a three-dimensional, multiphase, multicomponent, pore-scale reactive transport modelling package for simulating biogeochemical processes in subsurface environments
Amir Golparvar, Matthias Kästner, and Martin Thullner
Geosci. Model Dev., 17, 881–898,,, 2024
Short summary
MinVoellmy v1: a lightweight model for simulating rapid mass movements based on a modified Voellmy rheology
Stefan Hergarten
Geosci. Model Dev., 17, 781–794,,, 2024
Short summary
Scalable Feature Extraction and Tracking (SCAFET): a general framework for feature extraction from large climate data sets
Arjun Babu Nellikkattil, Danielle Lemmon, Travis Allen O'Brien, June-Yi Lee, and Jung-Eun Chu
Geosci. Model Dev., 17, 301–320,,, 2024
Short summary
Sweep interpolation: a cost-effective semi-Lagrangian scheme in the Global Environmental Multiscale model
Mohammad Mortezazadeh, Jean-François Cossette, Ashu Dastoor, Jean de Grandpré, Irena Ivanova, and Abdessamad Qaddouri
Geosci. Model Dev., 17, 335–346,,, 2024
Short summary
CHONK 1.0: landscape evolution framework: cellular automata meets graph theory
Boris Gailleton, Luca C. Malatesta, Guillaume Cordonnier, and Jean Braun
Geosci. Model Dev., 17, 71–90,,, 2024
Short summary

Cited articles

Brondex, J., Gagliardini, O., Gillet-Chaulet, F., and Durand, G.: Sensitivity of grounding line dynamics to the choice of the friction law, J. Glaciol., 63, 854–866, 2017. a
Chen, Q., Gunzburger, M., and Perego, M.: Well-posedness results for a nonlinear Stokes problem arising in glaciology, SIAM J. Math. Anal., 45, 2710–2733, 2013. a
Cheng, G. and Lötstedt, P.: Parameter sensitivity analysis of dynamic ice sheet models – numerical computations, The Cryosphere, 14, 673–691,, 2020. a
Cheng, G., Lötstedt, P., and von Sydow, L.: Accurate and stable time stepping in ice sheet modeling, J. Comput. Phys., 329, 29–47, 2017. a
Chouly, F., Fabre, M., Hild, P., Mlika, R., Pousin, J., and Renard, Y.: An overview of recent results on Nitsche’s method for contact problems, in: Geometrically unfitted finite element methods and applications, Springer, 93–141, 2017a. a, b, c
Short summary
A full Stokes subgrid scheme in two dimensions for the grounding line migration problem is presented in the open-source finite-element framework Elmer/ICE. This method can achieve comparable results to previous research using a more than 20 times larger mesh size, which can be used to improve the efficiency in marine ice sheet simulations.