Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations
Numerical models for predicting future ice mass loss of the Antarctic and Greenland ice sheets require accurately representing their dynamics. Unfortunately, ice-sheet models suffer from a very strict time-step size constraint, which for higher-order models constitutes a severe bottleneck; in each t...
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ftdoajarticles:oai:doaj.org/article:fba5ad3e04234f55b2585b5c07df120d 2023-05-15T13:58:51+02:00 Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations André Löfgren Josefin Ahlkrona Christian Helanow 2022-09-01T00:00:00Z https://doi.org/10.1016/j.jcpx.2022.100114 https://doaj.org/article/fba5ad3e04234f55b2585b5c07df120d EN eng Elsevier http://www.sciencedirect.com/science/article/pii/S2590055222000105 https://doaj.org/toc/2590-0552 2590-0552 doi:10.1016/j.jcpx.2022.100114 https://doaj.org/article/fba5ad3e04234f55b2585b5c07df120d Journal of Computational Physics: X, Vol 16, Iss , Pp 100114- (2022) Ice-sheet modeling Free surface Stability Numerical modeling Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 article 2022 ftdoajarticles https://doi.org/10.1016/j.jcpx.2022.100114 2022-12-30T22:46:04Z Numerical models for predicting future ice mass loss of the Antarctic and Greenland ice sheets require accurately representing their dynamics. Unfortunately, ice-sheet models suffer from a very strict time-step size constraint, which for higher-order models constitutes a severe bottleneck; in each time step a nonlinear and computationally demanding system of equations has to be solved. In this study, stable time-step sizes are increased for a full-Stokes model by implementing a so-called free-surface stabilization algorithm (FSSA). Previously this stabilization has been used successfully in mantle-convection simulations where a similar viscous-flow problem is solved. By numerical investigation it is demonstrated that instabilities on the very thin domains required for ice-sheet modeling behave differently than on the equal-aspect-ratio domains the stabilization has previously been used on. Despite this, and despite the different material properties of ice, it is shown that it is possible to adapt FSSA to work on idealized ice-sheet domains and increase stable time-step sizes by at least one order of magnitude. The FSSA method presented is deemed accurate, efficient and straightforward to implement into existing ice-sheet solvers. Article in Journal/Newspaper Antarc* Antarctic Greenland Ice Sheet Directory of Open Access Journals: DOAJ Articles Antarctic The Antarctic Greenland Journal of Computational Physics: X 16 100114 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Ice-sheet modeling Free surface Stability Numerical modeling Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
spellingShingle |
Ice-sheet modeling Free surface Stability Numerical modeling Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 André Löfgren Josefin Ahlkrona Christian Helanow Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
topic_facet |
Ice-sheet modeling Free surface Stability Numerical modeling Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
description |
Numerical models for predicting future ice mass loss of the Antarctic and Greenland ice sheets require accurately representing their dynamics. Unfortunately, ice-sheet models suffer from a very strict time-step size constraint, which for higher-order models constitutes a severe bottleneck; in each time step a nonlinear and computationally demanding system of equations has to be solved. In this study, stable time-step sizes are increased for a full-Stokes model by implementing a so-called free-surface stabilization algorithm (FSSA). Previously this stabilization has been used successfully in mantle-convection simulations where a similar viscous-flow problem is solved. By numerical investigation it is demonstrated that instabilities on the very thin domains required for ice-sheet modeling behave differently than on the equal-aspect-ratio domains the stabilization has previously been used on. Despite this, and despite the different material properties of ice, it is shown that it is possible to adapt FSSA to work on idealized ice-sheet domains and increase stable time-step sizes by at least one order of magnitude. The FSSA method presented is deemed accurate, efficient and straightforward to implement into existing ice-sheet solvers. |
format |
Article in Journal/Newspaper |
author |
André Löfgren Josefin Ahlkrona Christian Helanow |
author_facet |
André Löfgren Josefin Ahlkrona Christian Helanow |
author_sort |
André Löfgren |
title |
Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
title_short |
Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
title_full |
Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
title_fullStr |
Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
title_full_unstemmed |
Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
title_sort |
increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations |
publisher |
Elsevier |
publishDate |
2022 |
url |
https://doi.org/10.1016/j.jcpx.2022.100114 https://doaj.org/article/fba5ad3e04234f55b2585b5c07df120d |
geographic |
Antarctic The Antarctic Greenland |
geographic_facet |
Antarctic The Antarctic Greenland |
genre |
Antarc* Antarctic Greenland Ice Sheet |
genre_facet |
Antarc* Antarctic Greenland Ice Sheet |
op_source |
Journal of Computational Physics: X, Vol 16, Iss , Pp 100114- (2022) |
op_relation |
http://www.sciencedirect.com/science/article/pii/S2590055222000105 https://doaj.org/toc/2590-0552 2590-0552 doi:10.1016/j.jcpx.2022.100114 https://doaj.org/article/fba5ad3e04234f55b2585b5c07df120d |
op_doi |
https://doi.org/10.1016/j.jcpx.2022.100114 |
container_title |
Journal of Computational Physics: X |
container_volume |
16 |
container_start_page |
100114 |
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1766267212051513344 |