On a least‐squares finite element formulation for sea ice dynamics
Abstract In this contribution a mixed least‐squares finite element method (LSFEM) for the modeling of sea ice motion including a viscous‐plastic (VP) sea ice rheology is investigated. The simulation of sea ice motion goes back to the findings in Hibler III [4], where a numerical model for the simula...
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crwiley:10.1002/pamm.201800156 2024-06-02T08:14:15+00:00 On a least‐squares finite element formulation for sea ice dynamics Schröder, Jörg Nisters, Carina Ricken, Tim 2018 http://dx.doi.org/10.1002/pamm.201800156 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fpamm.201800156 https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800156 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor PAMM volume 18, issue 1 ISSN 1617-7061 1617-7061 journal-article 2018 crwiley https://doi.org/10.1002/pamm.201800156 2024-05-03T11:36:27Z Abstract In this contribution a mixed least‐squares finite element method (LSFEM) for the modeling of sea ice motion including a viscous‐plastic (VP) sea ice rheology is investigated. The simulation of sea ice motion goes back to the findings in Hibler III [4], where a numerical model for the simulation of sea ice circulation and thickness evolution over a seasonal cycle is introduced. Both the ice thickness and ice concentration distribution are explicitly described on the basis of evolution equations. Recent research in this field is devoted to finite element formulations based on the Galerkin variational approach. Here, special focus lies on the stabilization of the numerically complex scheme. It is therefore desirable to establish a least‐squares formulation to overcome possible numerical drawbacks. The least‐squares variational approach is well established in finite element formulations in the branch of fluid mechanics, see [2], [3] and [6], for instance. A great advantage of the method is its applicability to first‐order systems, such that it results in stable and robust formulations also for not self‐adjoint operators like in the Navier‐Stokes equations, for instance. A box test case, see [7], is investigated for the least‐squares formulation. Article in Journal/Newspaper Sea ice Wiley Online Library PAMM 18 1 |
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Abstract In this contribution a mixed least‐squares finite element method (LSFEM) for the modeling of sea ice motion including a viscous‐plastic (VP) sea ice rheology is investigated. The simulation of sea ice motion goes back to the findings in Hibler III [4], where a numerical model for the simulation of sea ice circulation and thickness evolution over a seasonal cycle is introduced. Both the ice thickness and ice concentration distribution are explicitly described on the basis of evolution equations. Recent research in this field is devoted to finite element formulations based on the Galerkin variational approach. Here, special focus lies on the stabilization of the numerically complex scheme. It is therefore desirable to establish a least‐squares formulation to overcome possible numerical drawbacks. The least‐squares variational approach is well established in finite element formulations in the branch of fluid mechanics, see [2], [3] and [6], for instance. A great advantage of the method is its applicability to first‐order systems, such that it results in stable and robust formulations also for not self‐adjoint operators like in the Navier‐Stokes equations, for instance. A box test case, see [7], is investigated for the least‐squares formulation. |
format |
Article in Journal/Newspaper |
author |
Schröder, Jörg Nisters, Carina Ricken, Tim |
spellingShingle |
Schröder, Jörg Nisters, Carina Ricken, Tim On a least‐squares finite element formulation for sea ice dynamics |
author_facet |
Schröder, Jörg Nisters, Carina Ricken, Tim |
author_sort |
Schröder, Jörg |
title |
On a least‐squares finite element formulation for sea ice dynamics |
title_short |
On a least‐squares finite element formulation for sea ice dynamics |
title_full |
On a least‐squares finite element formulation for sea ice dynamics |
title_fullStr |
On a least‐squares finite element formulation for sea ice dynamics |
title_full_unstemmed |
On a least‐squares finite element formulation for sea ice dynamics |
title_sort |
on a least‐squares finite element formulation for sea ice dynamics |
publisher |
Wiley |
publishDate |
2018 |
url |
http://dx.doi.org/10.1002/pamm.201800156 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fpamm.201800156 https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800156 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
PAMM volume 18, issue 1 ISSN 1617-7061 1617-7061 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/pamm.201800156 |
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PAMM |
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18 |
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1800738012806512640 |