Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models
Abstract The set of force equations and stress strain-rate relations for ice masses can be solved with the method of lines and shooting the stress-free conditions at the free surface. Single- and multiple-shooting schemes with fixed point or Newton iterations for solving the stress equations includi...
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Language: | English |
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Cambridge University Press (CUP)
1998
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Online Access: | http://dx.doi.org/10.1017/s0022143000001969 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000001969 |
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crcambridgeupr:10.1017/s0022143000001969 2024-03-03T08:46:07+00:00 Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models Colinge, Jacques Blatter, Heinz 1998 http://dx.doi.org/10.1017/s0022143000001969 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000001969 en eng Cambridge University Press (CUP) Journal of Glaciology volume 44, issue 148, page 448-456 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1998 crcambridgeupr https://doi.org/10.1017/s0022143000001969 2024-02-08T08:34:04Z Abstract The set of force equations and stress strain-rate relations for ice masses can be solved with the method of lines and shooting the stress-free conditions at the free surface. Single- and multiple-shooting schemes with fixed point or Newton iterations for solving the stress equations including the deviatoric stress gradients are described and their performances arc discussed. The single-shooting Newton iteration proved to be the fastest seheme for typical valley glaciers, although its horizontal grid limitation is restrictive. Grid resolution can be improved substantially with a multiple-shooting scheme but computation time and storage requirements increase substantially. The Newton iteration allows the handling of mixed basal boundary conditions, partly basal velocity and partly basal shear traction being prescribed. A stick slip free gravity flow illustrates the performance of the scheme. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 44 148 448 456 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Colinge, Jacques Blatter, Heinz Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
topic_facet |
Earth-Surface Processes |
description |
Abstract The set of force equations and stress strain-rate relations for ice masses can be solved with the method of lines and shooting the stress-free conditions at the free surface. Single- and multiple-shooting schemes with fixed point or Newton iterations for solving the stress equations including the deviatoric stress gradients are described and their performances arc discussed. The single-shooting Newton iteration proved to be the fastest seheme for typical valley glaciers, although its horizontal grid limitation is restrictive. Grid resolution can be improved substantially with a multiple-shooting scheme but computation time and storage requirements increase substantially. The Newton iteration allows the handling of mixed basal boundary conditions, partly basal velocity and partly basal shear traction being prescribed. A stick slip free gravity flow illustrates the performance of the scheme. |
format |
Article in Journal/Newspaper |
author |
Colinge, Jacques Blatter, Heinz |
author_facet |
Colinge, Jacques Blatter, Heinz |
author_sort |
Colinge, Jacques |
title |
Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
title_short |
Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
title_full |
Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
title_fullStr |
Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
title_full_unstemmed |
Stress and velocity fields in glaciers: Part I. Finite-difference schemes for higher-order glacier models |
title_sort |
stress and velocity fields in glaciers: part i. finite-difference schemes for higher-order glacier models |
publisher |
Cambridge University Press (CUP) |
publishDate |
1998 |
url |
http://dx.doi.org/10.1017/s0022143000001969 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000001969 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 44, issue 148, page 448-456 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000001969 |
container_title |
Journal of Glaciology |
container_volume |
44 |
container_issue |
148 |
container_start_page |
448 |
op_container_end_page |
456 |
_version_ |
1792502020514512896 |