Parameter sensitivity analysis of dynamic ice sheet models – numerical computations
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...
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2020
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00050719 2023-05-15T16:40:21+02:00 Parameter sensitivity analysis of dynamic ice sheet models – numerical computations Cheng, Gong Lötstedt, Per 2020-02 electronic https://doi.org/10.5194/tc-14-673-2020 https://noa.gwlb.de/receive/cop_mods_00050719 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00050376/tc-14-673-2020.pdf https://tc.copernicus.org/articles/14/673/2020/tc-14-673-2020.pdf eng eng Copernicus Publications The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-14-673-2020 https://noa.gwlb.de/receive/cop_mods_00050719 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00050376/tc-14-673-2020.pdf https://tc.copernicus.org/articles/14/673/2020/tc-14-673-2020.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess CC-BY article Verlagsveröffentlichung article Text doc-type:article 2020 ftnonlinearchiv https://doi.org/10.5194/tc-14-673-2020 2022-02-08T22:36:45Z 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. A transfer matrix couples the perturbations at the base with the perturbations at the top. Comparisons are made with analytical solutions to simplified problems. The sensitivity to perturbations depends on their wavelengths and the distance to the grounding line. A perturbation in the topography has a direct effect at the ice surface above it, while a change in the friction coefficient is less visible there. Article in Journal/Newspaper Ice Sheet The Cryosphere Niedersächsisches Online-Archiv NOA The Cryosphere 14 2 673 691 |
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article Verlagsveröffentlichung Cheng, Gong Lötstedt, Per Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
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article Verlagsveröffentlichung |
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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. A transfer matrix couples the perturbations at the base with the perturbations at the top. Comparisons are made with analytical solutions to simplified problems. The sensitivity to perturbations depends on their wavelengths and the distance to the grounding line. A perturbation in the topography has a direct effect at the ice surface above it, while a change in the friction coefficient is less visible there. |
format |
Article in Journal/Newspaper |
author |
Cheng, Gong Lötstedt, Per |
author_facet |
Cheng, Gong Lötstedt, Per |
author_sort |
Cheng, Gong |
title |
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
title_short |
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
title_full |
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
title_fullStr |
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
title_full_unstemmed |
Parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
title_sort |
parameter sensitivity analysis of dynamic ice sheet models – numerical computations |
publisher |
Copernicus Publications |
publishDate |
2020 |
url |
https://doi.org/10.5194/tc-14-673-2020 https://noa.gwlb.de/receive/cop_mods_00050719 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00050376/tc-14-673-2020.pdf https://tc.copernicus.org/articles/14/673/2020/tc-14-673-2020.pdf |
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Ice Sheet The Cryosphere |
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Ice Sheet The Cryosphere |
op_relation |
The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-14-673-2020 https://noa.gwlb.de/receive/cop_mods_00050719 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00050376/tc-14-673-2020.pdf https://tc.copernicus.org/articles/14/673/2020/tc-14-673-2020.pdf |
op_rights |
https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.5194/tc-14-673-2020 |
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The Cryosphere |
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14 |
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2 |
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673 |
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691 |
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1766030746446725120 |