Articles | Volume 14, issue 5
Geosci. Model Dev., 14, 2545–2573, 2021
Geosci. Model Dev., 14, 2545–2573, 2021
Development and technical paper
07 May 2021
Development and technical paper | 07 May 2021

Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18

Thiago Dias dos Santos et al.

Related authors

A new vertically integrated MOno-Layer Higher-Order (MOLHO) ice flow model
Thiago Dias dos Santos, Mathieu Morlighem, and Douglas Brinkerhoff
The Cryosphere, 16, 179–195,,, 2022
Short summary
The transferability of adjoint inversion products between different ice flow models
Jowan M. Barnes, Thiago Dias dos Santos, Daniel Goldberg, G. Hilmar Gudmundsson, Mathieu Morlighem, and Jan De Rydt
The Cryosphere, 15, 1975–2000,,, 2021
Short summary
Results of the third Marine Ice Sheet Model Intercomparison Project (MISMIP+)
Stephen L. Cornford, Helene Seroussi, Xylar S. Asay-Davis, G. Hilmar Gudmundsson, Rob Arthern, Chris Borstad, Julia Christmann, Thiago Dias dos Santos, Johannes Feldmann, Daniel Goldberg, Matthew J. Hoffman, Angelika Humbert, Thomas Kleiner, Gunter Leguy, William H. Lipscomb, Nacho Merino, Gaël Durand, Mathieu Morlighem, David Pollard, Martin Rückamp, C. Rosie Williams, and Hongju Yu
The Cryosphere, 14, 2283–2301,,, 2020
Short summary
Implementation and performance of adaptive mesh refinement in the Ice Sheet System Model (ISSM v4.14)
Thiago Dias dos Santos, Mathieu Morlighem, Hélène Seroussi, Philippe Remy Bernard Devloo, and Jefferson Cardia Simões
Geosci. Model Dev., 12, 215–232,,, 2019
Short summary

Related subject area

Modeling the small-scale deposition of snow onto structured Arctic sea ice during a MOSAiC storm using snowBedFoam 1.0.
Océane Hames, Mahdi Jafari, David Nicholas Wagner, Ian Raphael, David Clemens-Sewall, Chris Polashenski, Matthew D. Shupe, Martin Schneebeli, and Michael Lehning
Geosci. Model Dev., 15, 6429–6449,,, 2022
Short summary
Benchmarking the vertically integrated ice-sheet model IMAU-ICE (version 2.0)
Constantijn J. Berends, Heiko Goelzer, Thomas J. Reerink, Lennert B. Stap, and Roderik S. W. van de Wal
Geosci. Model Dev., 15, 5667–5688,,, 2022
Short summary
SnowClim v1.0: high-resolution snow model and data for the western United States
Abby C. Lute, John Abatzoglou, and Timothy Link
Geosci. Model Dev., 15, 5045–5071,,, 2022
Short summary
Snow Multidata Mapping and Modeling (S3M) 5.1: a distributed cryospheric model with dry and wet snow, data assimilation, glacier mass balance, and debris-driven melt
Francesco Avanzi, Simone Gabellani, Fabio Delogu, Francesco Silvestro, Edoardo Cremonese, Umberto Morra di Cella, Sara Ratto, and Hervé Stevenin
Geosci. Model Dev., 15, 4853–4879,,, 2022
Short summary
MPAS-Seaice (v1.0.0): sea-ice dynamics on unstructured Voronoi meshes
Adrian K. Turner, William H. Lipscomb, Elizabeth C. Hunke, Douglas W. Jacobsen​​​​​​​, Nicole Jeffery, Darren Engwirda, Todd D. Ringler, and Jonathan D. Wolfe
Geosci. Model Dev., 15, 3721–3751,,, 2022
Short summary

Cited articles

Akin, J. and Tezduyar, T. E.: Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements, Comput. Method. Appl. M., 193, 1909–1922,, 2004. a
Almeida, R. C. and Silva, R. S.: A stable Petrov–Galerkin method for convection-dominated problems, Comput. Method. Appl. M., 140, 291–304,, 1997. a
Arnold, D. N., Brezzi, F., Cockburn, B., and Marini, L. D.: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems, SIAM J. Numer. Anal., 39, 1749–1779,, 2002. a
Aschwanden, A., Fahnestock, M. A., Truffer, M., Brinkerhoff, D. J., Hock, R., Khroulev, C., Mottram, R., and Khan, S. A.: Contribution of the Greenland Ice Sheet to sea level over the next millennium, Science Advances, 5, eaav9396,, 2019. a
Babuška, I., Baumann, C., and Oden, J.: A discontinuous hp finite element method for diffusion problems: 1-D analysis, Comput. Math. Appl., 37, 103–122,, 1999. a
Short summary
Numerical models are routinely used to understand the past and future behavior of ice sheets in response to climate evolution. As is always the case with numerical modeling, one needs to minimize biases and numerical artifacts due to the choice of numerical scheme employed in such models. Here, we assess different numerical schemes in time-dependent simulations of ice sheets. We also introduce a new parameterization for the driving stress, the force that drives the ice sheet flow.