Mechanical error estimators for shallow ice flow models
We develop a posteriori ‘mechanical’ error estimators that are able to evaluate the solution discrepancy between two ice flow models. We first reformulate the classical shallow ice flow models by applying simplifications to the weak formulation of the Glen–Stokes model. This approach leads to a unif...
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Cambridge University Press (CUP)
2016
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Online Access: | http://dx.doi.org/10.1017/jfm.2016.593 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112016005930 |
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crcambridgeupr:10.1017/jfm.2016.593 2024-03-03T08:45:26+00:00 Mechanical error estimators for shallow ice flow models Jouvet, G. 2016 http://dx.doi.org/10.1017/jfm.2016.593 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112016005930 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 807, page 40-61 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics journal-article 2016 crcambridgeupr https://doi.org/10.1017/jfm.2016.593 2024-02-08T08:28:37Z We develop a posteriori ‘mechanical’ error estimators that are able to evaluate the solution discrepancy between two ice flow models. We first reformulate the classical shallow ice flow models by applying simplifications to the weak formulation of the Glen–Stokes model. This approach leads to a unified hierarchical formulation which relates the Glen–Stokes model, the Blatter model, the shallow ice approximation and the shallow shelf approximation. Based on this formulation and on residual techniques commonly used to estimate numerical errors, we derive three a posteriori estimators, each of which compares a pair of models using measures of the velocity field from the simpler (shallower) model. Numerical experiments confirm that these estimators can be used to assess the validity of the shallow ice models that are commonly used in glacier and ice sheet modelling. Article in Journal/Newspaper Ice Sheet Cambridge University Press Journal of Fluid Mechanics 807 40 61 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
spellingShingle |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Jouvet, G. Mechanical error estimators for shallow ice flow models |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
description |
We develop a posteriori ‘mechanical’ error estimators that are able to evaluate the solution discrepancy between two ice flow models. We first reformulate the classical shallow ice flow models by applying simplifications to the weak formulation of the Glen–Stokes model. This approach leads to a unified hierarchical formulation which relates the Glen–Stokes model, the Blatter model, the shallow ice approximation and the shallow shelf approximation. Based on this formulation and on residual techniques commonly used to estimate numerical errors, we derive three a posteriori estimators, each of which compares a pair of models using measures of the velocity field from the simpler (shallower) model. Numerical experiments confirm that these estimators can be used to assess the validity of the shallow ice models that are commonly used in glacier and ice sheet modelling. |
format |
Article in Journal/Newspaper |
author |
Jouvet, G. |
author_facet |
Jouvet, G. |
author_sort |
Jouvet, G. |
title |
Mechanical error estimators for shallow ice flow models |
title_short |
Mechanical error estimators for shallow ice flow models |
title_full |
Mechanical error estimators for shallow ice flow models |
title_fullStr |
Mechanical error estimators for shallow ice flow models |
title_full_unstemmed |
Mechanical error estimators for shallow ice flow models |
title_sort |
mechanical error estimators for shallow ice flow models |
publisher |
Cambridge University Press (CUP) |
publishDate |
2016 |
url |
http://dx.doi.org/10.1017/jfm.2016.593 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112016005930 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 807, page 40-61 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/jfm.2016.593 |
container_title |
Journal of Fluid Mechanics |
container_volume |
807 |
container_start_page |
40 |
op_container_end_page |
61 |
_version_ |
1792500993497235456 |