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The Cryosphere An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/tc-2019-151
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/tc-2019-151
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: research article 12 Aug 2019

Submitted as: research article | 12 Aug 2019

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This discussion paper is a preprint. It is a manuscript under review for the journal The Cryosphere (TC).

Parameter sensitivity analysis of dynamic ice sheet models-Numerical computations

Gong Cheng and Per Lötstedt Gong Cheng and Per Lötstedt
  • Department of Information Technology, Uppsala University, P.O. Box 337, SE-75105 Uppsala, Sweden

Abstract. The friction coefficient and the base topography of a stationary and a dynamic ice sheet are perturbed in two models for the ice: the full Stokes equations and the shallow shelf approximation. The sensitivity to the perturbations of the velocity and the height at the surface is quantified by solving the adjoint equations of the stress and the height equations providing weights for the perturbed data. The adjoint equations are solved numerically and the sensitivity is computed in several examples in two dimensions. Comparisons are made with analytical solutions to simplified problems.

Gong Cheng and Per Lötstedt
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Gong Cheng and Per Lötstedt
Gong Cheng and Per Lötstedt
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Latest update: 18 Aug 2019
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Short summary
We present a time dependent inverse method for ice sheet modeling. By investigating the sensitivity of the observations of the velocity and the height at the surface to the basal conditions of the ice, we show that if the basal parameters are time dependent, then time cannot be ignored in the inversion. By looking at the numerical features, we conclude that adding the height information of an ice sheet in the velocity inversion procedure could improve the robustness of the inference.
We present a time dependent inverse method for ice sheet modeling. By investigating the...
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