Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3)
Ice flow forced by gravity is governed by the full Stokes (FS) equations, which are computationally expensive to solve due to the nonlinearity introduced by the rheology. Therefore, approximations to the FS equations are commonly used, especially when modeling a marine ice sheet (ice sheet, ice shel...
Published in: | Geoscientific Model Development |
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Copernicus Publications
2018
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00004029 2023-05-15T16:40:00+02:00 Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) van Dongen, Eef C. H. Kirchner, Nina van Gijzen, Martin B. van de Wal, Roderik S. W. Zwinger, Thomas Cheng, Gong Lötstedt, Per von Sydow, Lina 2018-11 electronic https://doi.org/10.5194/gmd-11-4563-2018 https://noa.gwlb.de/receive/cop_mods_00004029 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00003986/gmd-11-4563-2018.pdf https://gmd.copernicus.org/articles/11/4563/2018/gmd-11-4563-2018.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-11-4563-2018 https://noa.gwlb.de/receive/cop_mods_00004029 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00003986/gmd-11-4563-2018.pdf https://gmd.copernicus.org/articles/11/4563/2018/gmd-11-4563-2018.pdf https://creativecommons.org/licenses/by/4.0/ uneingeschränkt info:eu-repo/semantics/openAccess CC-BY article Verlagsveröffentlichung article Text doc-type:article 2018 ftnonlinearchiv https://doi.org/10.5194/gmd-11-4563-2018 2022-02-08T23:00:19Z Ice flow forced by gravity is governed by the full Stokes (FS) equations, which are computationally expensive to solve due to the nonlinearity introduced by the rheology. Therefore, approximations to the FS equations are commonly used, especially when modeling a marine ice sheet (ice sheet, ice shelf, and/or ice stream) for 103 years or longer. The shallow ice approximation (SIA) and shallow shelf approximation (SSA) are commonly used but are accurate only for certain parts of an ice sheet. Here, we report a novel way of iteratively coupling FS and SSA that has been implemented in Elmer/Ice and applied to conceptual marine ice sheets. The FS–SSA coupling appears to be very accurate; the relative error in velocity compared to FS is below 0.5 % for diagnostic runs and below 5 % for prognostic runs. Results for grounding line dynamics obtained with the FS–SSA coupling are similar to those obtained from an FS model in an experiment with a periodical temperature forcing over 3000 years that induces grounding line advance and retreat. The rapid convergence of the FS–SSA coupling shows a large potential for reducing computation time, such that modeling a marine ice sheet for thousands of years should become feasible in the near future. Despite inefficient matrix assembly in the current implementation, computation time is reduced by 32 %, when the coupling is applied to a 3-D ice shelf. Article in Journal/Newspaper Ice Sheet Ice Shelf Niedersächsisches Online-Archiv NOA Geoscientific Model Development 11 11 4563 4576 |
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Niedersächsisches Online-Archiv NOA |
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English |
topic |
article Verlagsveröffentlichung |
spellingShingle |
article Verlagsveröffentlichung van Dongen, Eef C. H. Kirchner, Nina van Gijzen, Martin B. van de Wal, Roderik S. W. Zwinger, Thomas Cheng, Gong Lötstedt, Per von Sydow, Lina Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
topic_facet |
article Verlagsveröffentlichung |
description |
Ice flow forced by gravity is governed by the full Stokes (FS) equations, which are computationally expensive to solve due to the nonlinearity introduced by the rheology. Therefore, approximations to the FS equations are commonly used, especially when modeling a marine ice sheet (ice sheet, ice shelf, and/or ice stream) for 103 years or longer. The shallow ice approximation (SIA) and shallow shelf approximation (SSA) are commonly used but are accurate only for certain parts of an ice sheet. Here, we report a novel way of iteratively coupling FS and SSA that has been implemented in Elmer/Ice and applied to conceptual marine ice sheets. The FS–SSA coupling appears to be very accurate; the relative error in velocity compared to FS is below 0.5 % for diagnostic runs and below 5 % for prognostic runs. Results for grounding line dynamics obtained with the FS–SSA coupling are similar to those obtained from an FS model in an experiment with a periodical temperature forcing over 3000 years that induces grounding line advance and retreat. The rapid convergence of the FS–SSA coupling shows a large potential for reducing computation time, such that modeling a marine ice sheet for thousands of years should become feasible in the near future. Despite inefficient matrix assembly in the current implementation, computation time is reduced by 32 %, when the coupling is applied to a 3-D ice shelf. |
format |
Article in Journal/Newspaper |
author |
van Dongen, Eef C. H. Kirchner, Nina van Gijzen, Martin B. van de Wal, Roderik S. W. Zwinger, Thomas Cheng, Gong Lötstedt, Per von Sydow, Lina |
author_facet |
van Dongen, Eef C. H. Kirchner, Nina van Gijzen, Martin B. van de Wal, Roderik S. W. Zwinger, Thomas Cheng, Gong Lötstedt, Per von Sydow, Lina |
author_sort |
van Dongen, Eef C. H. |
title |
Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
title_short |
Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
title_full |
Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
title_fullStr |
Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
title_full_unstemmed |
Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) |
title_sort |
dynamically coupling full stokes and shallow shelf approximation for marine ice sheet flow using elmer/ice (v8.3) |
publisher |
Copernicus Publications |
publishDate |
2018 |
url |
https://doi.org/10.5194/gmd-11-4563-2018 https://noa.gwlb.de/receive/cop_mods_00004029 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00003986/gmd-11-4563-2018.pdf https://gmd.copernicus.org/articles/11/4563/2018/gmd-11-4563-2018.pdf |
genre |
Ice Sheet Ice Shelf |
genre_facet |
Ice Sheet Ice Shelf |
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-11-4563-2018 https://noa.gwlb.de/receive/cop_mods_00004029 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00003986/gmd-11-4563-2018.pdf https://gmd.copernicus.org/articles/11/4563/2018/gmd-11-4563-2018.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/gmd-11-4563-2018 |
container_title |
Geoscientific Model Development |
container_volume |
11 |
container_issue |
11 |
container_start_page |
4563 |
op_container_end_page |
4576 |
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1766030356472922112 |