Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method

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 under long time-intervals. The method couples the exact, full Stokes (FS) equations with the Shallow Ice Approximation (SIA). The part of the dom...

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Main Authors: Ahlkrona, Josefin, Lötstedt, Per, Kirchner, Nina, Zwinger, Thomas
Format: Text
Language:unknown
Published: arXiv 2015
Subjects:
Computational Physics physics.comp-ph
FOS Physical sciences
86-08
Greenland
Ice Sheet
Online Access:https://dx.doi.org/10.48550/arxiv.1503.07743
https://arxiv.org/abs/1503.07743
id ftdatacite:10.48550/arxiv.1503.07743
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1503.07743 2023-05-15T16:29:06+02:00 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 Zwinger, Thomas 2015 https://dx.doi.org/10.48550/arxiv.1503.07743 https://arxiv.org/abs/1503.07743 unknown arXiv https://dx.doi.org/10.1016/j.jcp.2015.12.025 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Computational Physics physics.comp-ph FOS Physical sciences 86-08 article-journal Article ScholarlyArticle Text 2015 ftdatacite https://doi.org/10.48550/arxiv.1503.07743 https://doi.org/10.1016/j.jcp.2015.12.025 2022-04-01T12:19:25Z 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 under long time-intervals. The method couples the exact, 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 where the number of degrees of freedom is comparable to a real world application, ISCAL performs almost an order of magnitude 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, proving ISCAL to be a potential valuable tool for the ice sheet modeling community. Text Greenland Ice Sheet DataCite Metadata Store (German National Library of Science and Technology) Greenland
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Computational Physics physics.comp-ph
FOS Physical sciences
86-08
spellingShingle Computational Physics physics.comp-ph
FOS Physical sciences
86-08
Ahlkrona, Josefin
Lötstedt, Per
Kirchner, Nina
Zwinger, Thomas
Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
topic_facet Computational Physics physics.comp-ph
FOS Physical sciences
86-08
description 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 under long time-intervals. The method couples the exact, 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 where the number of degrees of freedom is comparable to a real world application, ISCAL performs almost an order of magnitude 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, proving ISCAL to be a potential valuable tool for the ice sheet modeling community.
format Text
author Ahlkrona, Josefin
Lötstedt, Per
Kirchner, Nina
Zwinger, Thomas
author_facet Ahlkrona, Josefin
Lötstedt, Per
Kirchner, Nina
Zwinger, Thomas
author_sort Ahlkrona, Josefin
title Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
title_short Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
title_full Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
title_fullStr Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
title_full_unstemmed Dynamically coupling the non-linear Stokes equations with the Shallow Ice Approximation in glaciology: Description and first applications of the ISCAL method
title_sort dynamically coupling the non-linear stokes equations with the shallow ice approximation in glaciology: description and first applications of the iscal method
publisher arXiv
publishDate 2015
url https://dx.doi.org/10.48550/arxiv.1503.07743
https://arxiv.org/abs/1503.07743
geographic Greenland
geographic_facet Greenland
genre Greenland
Ice Sheet
genre_facet Greenland
Ice Sheet
op_relation https://dx.doi.org/10.1016/j.jcp.2015.12.025
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1503.07743
https://doi.org/10.1016/j.jcp.2015.12.025
_version_ 1766018793875701760

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