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...
Main Authors: | , , , |
---|---|
Format: | Text |
Language: | unknown |
Published: |
arXiv
2015
|
Subjects: | |
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 |