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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| Format: | Report |
| Language: | unknown |
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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 |
| Summary: | 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 |
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