Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology: Description and first applications of the ISCAL method

Ahlkrona, Josefin, Lötstedt, Per, Kirchner, Nina and Zwinger, Thomas (2016) Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology: Description and first applications of the ISCAL method Journal of Computational Physics, 308 . pp. 1-19. DOI 10.1016/j.jcp.2015.12.025.

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Abstract

We propose and implement a new method, called the Ice Sheet Coupled Approximation Levels (ISCAL) method, for simulation of ice sheet flow in large domains during long time-intervals. The method couples the full Stokes (FS) equations with the Shallow Ice Approximation (SIA). The part of the domain where SIA is applied is determined automatically and dynamically based on estimates of the modeling error. For a three dimensional model problem, ISCAL computes the solution substantially faster with a low reduction in accuracy compared to a monolithic FS. Furthermore, ISCAL is shown to be able to detect rapid dynamic changes in the flow. Three different error estimations are applied and compared. Finally, ISCAL is applied to the Greenland Ice Sheet on a quasi-uniform grid, proving ISCAL to be a potential valuable tool for the ice sheet modeling community. (C) 2015 Elsevier Inc. All rights reserved.

Document Type: Article
Research affiliation: OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
DOI etc.: 10.1016/j.jcp.2015.12.025
ISSN: 00219991
Date Deposited: 09 May 2017 09:25
Last Modified: 09 May 2017 09:26
URI: http://eprints.uni-kiel.de/id/eprint/37872

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