Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18
Time-dependent simulations of ice sheets require two equations to be solved: the mass transport equation, derived from the conservation of mass, and the stress balance equation, derived from the conservation of momentum. The mass transport equation controls the advection of ice from the interior of...
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Copernicus Publications
2021
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00056512 2024-09-09T19:00:04+00:00 Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 dos Santos, Thiago Dias Morlighem, Mathieu Seroussi, Hélène 2021-05 electronic https://doi.org/10.5194/gmd-14-2545-2021 https://noa.gwlb.de/receive/cop_mods_00056512 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00056163/gmd-14-2545-2021.pdf https://gmd.copernicus.org/articles/14/2545/2021/gmd-14-2545-2021.pdf eng eng Copernicus Publications Geoscientific Model Development -- http://www.bibliothek.uni-regensburg.de/ezeit/?2456725 -- http://www.geosci-model-dev.net/ -- 1991-9603 https://doi.org/10.5194/gmd-14-2545-2021 https://noa.gwlb.de/receive/cop_mods_00056512 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00056163/gmd-14-2545-2021.pdf https://gmd.copernicus.org/articles/14/2545/2021/gmd-14-2545-2021.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2021 ftnonlinearchiv https://doi.org/10.5194/gmd-14-2545-2021 2024-06-26T04:40:00Z Time-dependent simulations of ice sheets require two equations to be solved: the mass transport equation, derived from the conservation of mass, and the stress balance equation, derived from the conservation of momentum. The mass transport equation controls the advection of ice from the interior of the ice sheet towards its periphery, thereby changing its geometry. Because it is based on an advection equation, a stabilization scheme needs to be employed when solved using the finite-element method. Several stabilization schemes exist in the finite-element method framework, but their respective accuracy and robustness have not yet been systematically assessed for glaciological applications. Here, we compare classical schemes used in the context of the finite-element method: (i) artificial diffusion, (ii) streamline upwinding, (iii) streamline upwind Petrov–Galerkin, (iv) discontinuous Galerkin, and (v) flux-corrected transport. We also look at the stress balance equation, which is responsible for computing the ice velocity that “advects” the ice downstream. To improve the velocity computation accuracy, the ice-sheet modeling community employs several sub-element parameterizations of physical processes at the grounding line, the point where the grounded ice starts to float onto the ocean. Here, we introduce a new sub-element parameterization for the driving stress, the force that drives the ice-sheet flow. We analyze the response of each stabilization scheme by running transient simulations forced by ice-shelf basal melt. The simulations are based on an idealized ice-sheet geometry for which there is no influence of bedrock topography. We also perform transient simulations of the Amundsen Sea Embayment, West Antarctica, where real bedrock and surface elevations are employed. In both idealized and real ice-sheet experiments, stabilization schemes based on artificial diffusion lead systematically to a bias towards more mass loss in comparison to the other schemes and therefore should be avoided or employed with a ... Article in Journal/Newspaper Amundsen Sea Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica Niedersächsisches Online-Archiv NOA West Antarctica Amundsen Sea Geoscientific Model Development 14 5 2545 2573 |
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English |
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article Verlagsveröffentlichung |
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article Verlagsveröffentlichung dos Santos, Thiago Dias Morlighem, Mathieu Seroussi, Hélène Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
topic_facet |
article Verlagsveröffentlichung |
description |
Time-dependent simulations of ice sheets require two equations to be solved: the mass transport equation, derived from the conservation of mass, and the stress balance equation, derived from the conservation of momentum. The mass transport equation controls the advection of ice from the interior of the ice sheet towards its periphery, thereby changing its geometry. Because it is based on an advection equation, a stabilization scheme needs to be employed when solved using the finite-element method. Several stabilization schemes exist in the finite-element method framework, but their respective accuracy and robustness have not yet been systematically assessed for glaciological applications. Here, we compare classical schemes used in the context of the finite-element method: (i) artificial diffusion, (ii) streamline upwinding, (iii) streamline upwind Petrov–Galerkin, (iv) discontinuous Galerkin, and (v) flux-corrected transport. We also look at the stress balance equation, which is responsible for computing the ice velocity that “advects” the ice downstream. To improve the velocity computation accuracy, the ice-sheet modeling community employs several sub-element parameterizations of physical processes at the grounding line, the point where the grounded ice starts to float onto the ocean. Here, we introduce a new sub-element parameterization for the driving stress, the force that drives the ice-sheet flow. We analyze the response of each stabilization scheme by running transient simulations forced by ice-shelf basal melt. The simulations are based on an idealized ice-sheet geometry for which there is no influence of bedrock topography. We also perform transient simulations of the Amundsen Sea Embayment, West Antarctica, where real bedrock and surface elevations are employed. In both idealized and real ice-sheet experiments, stabilization schemes based on artificial diffusion lead systematically to a bias towards more mass loss in comparison to the other schemes and therefore should be avoided or employed with a ... |
format |
Article in Journal/Newspaper |
author |
dos Santos, Thiago Dias Morlighem, Mathieu Seroussi, Hélène |
author_facet |
dos Santos, Thiago Dias Morlighem, Mathieu Seroussi, Hélène |
author_sort |
dos Santos, Thiago Dias |
title |
Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
title_short |
Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
title_full |
Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
title_fullStr |
Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
title_full_unstemmed |
Assessment of numerical schemes for transient, finite-element ice flow models using ISSM v4.18 |
title_sort |
assessment of numerical schemes for transient, finite-element ice flow models using issm v4.18 |
publisher |
Copernicus Publications |
publishDate |
2021 |
url |
https://doi.org/10.5194/gmd-14-2545-2021 https://noa.gwlb.de/receive/cop_mods_00056512 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00056163/gmd-14-2545-2021.pdf https://gmd.copernicus.org/articles/14/2545/2021/gmd-14-2545-2021.pdf |
geographic |
West Antarctica Amundsen Sea |
geographic_facet |
West Antarctica Amundsen Sea |
genre |
Amundsen Sea Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica |
genre_facet |
Amundsen Sea Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica |
op_relation |
Geoscientific Model Development -- http://www.bibliothek.uni-regensburg.de/ezeit/?2456725 -- http://www.geosci-model-dev.net/ -- 1991-9603 https://doi.org/10.5194/gmd-14-2545-2021 https://noa.gwlb.de/receive/cop_mods_00056512 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00056163/gmd-14-2545-2021.pdf https://gmd.copernicus.org/articles/14/2545/2021/gmd-14-2545-2021.pdf |
op_rights |
https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/gmd-14-2545-2021 |
container_title |
Geoscientific Model Development |
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14 |
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5 |
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2545 |
op_container_end_page |
2573 |
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1809936947486916608 |