Stability of an ice sheet on an elastic bed
The stability of stationary flow of a two-dimensional ice sheet is studied when the ice obeys a power flow law (Glen's flow law). The mass accumulation rate at the top is assumed to depend on elevation and span and the bed supporting the ice sheet consists of an elastic layer lying on a rigid s...
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ftkazanuniv:oai:dspace.kpfu.ru:net/134369 2023-05-15T16:39:34+02:00 Stability of an ice sheet on an elastic bed Wilchinsky A. Feltham D. 2004 https://dspace.kpfu.ru/xmlui/handle/net/134369 unknown European Journal of Mechanics, B/Fluids 5 23 681 http://dspace.kpfu.ru/xmlui/bitstream/net/134369/-1/SCOPUS09977546-2004-23-5-SID3142683096-p1.pdf 0997-7546 https://dspace.kpfu.ru/xmlui/handle/net/134369 SCOPUS09977546-2004-23-5-SID3142683096 Ice sheet Stability Article 2004 ftkazanuniv 2022-01-01T09:45:49Z The stability of stationary flow of a two-dimensional ice sheet is studied when the ice obeys a power flow law (Glen's flow law). The mass accumulation rate at the top is assumed to depend on elevation and span and the bed supporting the ice sheet consists of an elastic layer lying on a rigid surface. The normal perturbation of the free surface of the ice sheet is a singular eigenvalue problem. The singularity of the perturbation at the front of the ice sheet is considered using matched asymptotic expansions, and the eigenvalue problem is seen to reduce to that with fixed ice front. Numerical solution of the perturbation eigenvalue problem shows that the dependence of accumulation rate on elevation permits the existence of unstable solutions when the equilibrium line is higher than the bed at the ice divide. Alternatively, when the equilibrium line is lower than the bed, there are only stable solutions. Softening of the bed, expressed through a decrease of its elastic modulus, has a stabilising effect on the ice sheet. © 2004 Elsevier SAS. All rights reserved. Article in Journal/Newspaper Ice Sheet Kazan Federal University Digital Repository |
institution |
Open Polar |
collection |
Kazan Federal University Digital Repository |
op_collection_id |
ftkazanuniv |
language |
unknown |
topic |
Ice sheet Stability |
spellingShingle |
Ice sheet Stability Wilchinsky A. Feltham D. Stability of an ice sheet on an elastic bed |
topic_facet |
Ice sheet Stability |
description |
The stability of stationary flow of a two-dimensional ice sheet is studied when the ice obeys a power flow law (Glen's flow law). The mass accumulation rate at the top is assumed to depend on elevation and span and the bed supporting the ice sheet consists of an elastic layer lying on a rigid surface. The normal perturbation of the free surface of the ice sheet is a singular eigenvalue problem. The singularity of the perturbation at the front of the ice sheet is considered using matched asymptotic expansions, and the eigenvalue problem is seen to reduce to that with fixed ice front. Numerical solution of the perturbation eigenvalue problem shows that the dependence of accumulation rate on elevation permits the existence of unstable solutions when the equilibrium line is higher than the bed at the ice divide. Alternatively, when the equilibrium line is lower than the bed, there are only stable solutions. Softening of the bed, expressed through a decrease of its elastic modulus, has a stabilising effect on the ice sheet. © 2004 Elsevier SAS. All rights reserved. |
format |
Article in Journal/Newspaper |
author |
Wilchinsky A. Feltham D. |
author_facet |
Wilchinsky A. Feltham D. |
author_sort |
Wilchinsky A. |
title |
Stability of an ice sheet on an elastic bed |
title_short |
Stability of an ice sheet on an elastic bed |
title_full |
Stability of an ice sheet on an elastic bed |
title_fullStr |
Stability of an ice sheet on an elastic bed |
title_full_unstemmed |
Stability of an ice sheet on an elastic bed |
title_sort |
stability of an ice sheet on an elastic bed |
publishDate |
2004 |
url |
https://dspace.kpfu.ru/xmlui/handle/net/134369 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
SCOPUS09977546-2004-23-5-SID3142683096 |
op_relation |
European Journal of Mechanics, B/Fluids 5 23 681 http://dspace.kpfu.ru/xmlui/bitstream/net/134369/-1/SCOPUS09977546-2004-23-5-SID3142683096-p1.pdf 0997-7546 https://dspace.kpfu.ru/xmlui/handle/net/134369 |
_version_ |
1766029904970776576 |