On mass conservation for ice sheets
A new continuum-mechanical formulation is proposed which encompasses all material processes within and surrounding an ice sheet. Using this formulation, the balance of mass and free-surface relations for ice sheets are derived and elaborated upon. The resulting three-dimensional mass-balance relatio...
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arXiv
2018
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| Online Access: | https://dx.doi.org/10.48550/arxiv.1805.11175 https://arxiv.org/abs/1805.11175 |
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ftdatacite:10.48550/arxiv.1805.11175 2023-05-15T16:39:49+02:00 On mass conservation for ice sheets Cummings, Evan M. 2018 https://dx.doi.org/10.48550/arxiv.1805.11175 https://arxiv.org/abs/1805.11175 unknown arXiv Creative Commons Attribution Non Commercial Share Alike 4.0 International https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode cc-by-nc-sa-4.0 CC-BY-NC-SA Fluid Dynamics physics.flu-dyn FOS Physical sciences Preprint Article article CreativeWork 2018 ftdatacite https://doi.org/10.48550/arxiv.1805.11175 2022-04-01T09:35:19Z A new continuum-mechanical formulation is proposed which encompasses all material processes within and surrounding an ice sheet. Using this formulation, the balance of mass and free-surface relations for ice sheets are derived and elaborated upon. The resulting three-dimensional mass-balance relation is then integrated vertically to produce an ice-sheet quasi-mass-balance relation in the horizontal plane, and is demonstrated to reduce velocity errors in regions with high magnitude surface gradients. An analytic velocity satisfying the corrected mass-balance relation is formulated as a means to verify future numerical ice-sheet models. : 51 pages, 4 figures, 5 source-code listings Report Ice Sheet DataCite Metadata Store (German National Library of Science and Technology) |
| institution |
Open Polar |
| collection |
DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
| language |
unknown |
| topic |
Fluid Dynamics physics.flu-dyn FOS Physical sciences |
| spellingShingle |
Fluid Dynamics physics.flu-dyn FOS Physical sciences Cummings, Evan M. On mass conservation for ice sheets |
| topic_facet |
Fluid Dynamics physics.flu-dyn FOS Physical sciences |
| description |
A new continuum-mechanical formulation is proposed which encompasses all material processes within and surrounding an ice sheet. Using this formulation, the balance of mass and free-surface relations for ice sheets are derived and elaborated upon. The resulting three-dimensional mass-balance relation is then integrated vertically to produce an ice-sheet quasi-mass-balance relation in the horizontal plane, and is demonstrated to reduce velocity errors in regions with high magnitude surface gradients. An analytic velocity satisfying the corrected mass-balance relation is formulated as a means to verify future numerical ice-sheet models. : 51 pages, 4 figures, 5 source-code listings |
| format |
Report |
| author |
Cummings, Evan M. |
| author_facet |
Cummings, Evan M. |
| author_sort |
Cummings, Evan M. |
| title |
On mass conservation for ice sheets |
| title_short |
On mass conservation for ice sheets |
| title_full |
On mass conservation for ice sheets |
| title_fullStr |
On mass conservation for ice sheets |
| title_full_unstemmed |
On mass conservation for ice sheets |
| title_sort |
on mass conservation for ice sheets |
| publisher |
arXiv |
| publishDate |
2018 |
| url |
https://dx.doi.org/10.48550/arxiv.1805.11175 https://arxiv.org/abs/1805.11175 |
| genre |
Ice Sheet |
| genre_facet |
Ice Sheet |
| op_rights |
Creative Commons Attribution Non Commercial Share Alike 4.0 International https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode cc-by-nc-sa-4.0 |
| op_rightsnorm |
CC-BY-NC-SA |
| op_doi |
https://doi.org/10.48550/arxiv.1805.11175 |
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1766030163648184320 |