Articles | Volume 13, issue 9
https://doi.org/10.5194/gmd-13-4491-2020
https://doi.org/10.5194/gmd-13-4491-2020
Development and technical paper
 | 
25 Sep 2020
Development and technical paper |  | 25 Sep 2020

Extended enthalpy formulations in the Ice-sheet and Sea-level System Model (ISSM) version 4.17: discontinuous conductivity and anisotropic streamline upwind Petrov–Galerkin (SUPG) method

Martin Rückamp, Angelika Humbert, Thomas Kleiner, Mathieu Morlighem, and Helene Seroussi

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Cited articles

Aschwanden, A., Bueler, E., Khroulev, C., and Blatter, H.: An enthalpy formulation for glaciers and ice sheets, J. Glaciol., 58, 441–457, https://doi.org/10.3189/2012JoG11J088, 2012. a, b, c, d, e, f
Becker, R. and Rannacher, R.: Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes, Vieweg+Teubner Verlag, Wiesbaden, 52–62, https://doi.org/10.1007/978-3-663-14125-9_4, 1995. a, b
Blasco, J.: An anisotropic GLS-stabilized finite element method for incompressible flow problems, Comput. Method. Appl. M., 197, 3712–3723, https://doi.org/10.1016/j.cma.2008.02.031, 2008. a, b
Blatter, H.: Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients, J. Glaciol., 41, 333–344, https://doi.org/10.3189/S002214300001621X, 1995. a
Blatter, H. and Greve, R.: Comparison and verification of enthalpy schemes for polythermal glaciers and ice sheets with a one-dimensional model, Polar Sci., 9, 196–207, https://doi.org/10.1016/j.polar.2015.04.001, 2015. a
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Short summary
We present enthalpy formulations within the Ice-Sheet and Sea-Level System model that show better performance than earlier implementations. A first experiment indicates that the treatment of discontinuous conductivities of the solid–fluid system with a geometric mean produce accurate results when applied to coarse vertical resolutions. In a second experiment, we propose a novel stabilization formulation that avoids the problem of thin elements. This method provides accurate and stable results.