Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments
Accurate predictions of basal melt rates on ice shelves are necessary for precise projections of the future behaviour of ice sheets. The computational expense associated with completely resolving the cavity circulation using an ocean model makes this approach unfeasible for multi-century simulations...
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ftroysocietyfig:oai:figshare.com:article/19235821 2023-05-15T13:57:16+02:00 Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments Alexander T. Bradley C. Rosie Williams Adrian Jenkins Robert Arthern 2022-02-25T09:46:36Z https://doi.org/10.6084/m9.figshare.19235821.v1 https://figshare.com/articles/journal_contribution/Supplementary_Information_for_Asymptotic_Analysis_of_Subglacial_Plumes_in_Stratified_Environments_by_Bradley_et_al_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments/19235821 unknown doi:10.6084/m9.figshare.19235821.v1 https://figshare.com/articles/journal_contribution/Supplementary_Information_for_Asymptotic_Analysis_of_Subglacial_Plumes_in_Stratified_Environments_by_Bradley_et_al_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments/19235821 CC BY 4.0 CC-BY Oceanography Glaciology Mathematical Sciences not elsewhere classified plumes Antarctica ice-shelves ice-sheets melting Text Journal contribution 2022 ftroysocietyfig https://doi.org/10.6084/m9.figshare.19235821.v1 2022-03-03T00:00:28Z Accurate predictions of basal melt rates on ice shelves are necessary for precise projections of the future behaviour of ice sheets. The computational expense associated with completely resolving the cavity circulation using an ocean model makes this approach unfeasible for multi-century simulations, and parametrizations of melt rates are required. At present, some of the most advanced melt rate parametrizations are based on a one-dimensional approximation to the melt rate that emerges from the theory of subglacial plumes applied to ice shelves with constant basal slopes and uniform ambient ocean conditions; in this work, we present an asymptotic analysis of the corresponding equations in which non-constant basal slopes and typical ambient conditions are imposed. This analysis exploits the small aspect ratio of ice shelf bases, the relatively weak thermal driving and the relative slenderness of the region separating warm, salty water at depth and cold, fresh water at the surface in the ambient ocean. We construct an approximation to the melt rate that is based on this analysis, which shows good agreement with numerical solutions in a wide variety of cases, suggesting a path towards improved predictions of basal melt rates in ice-sheet models. Other Non-Article Part of Journal/Newspaper Antarc* Antarctica Ice Sheet Ice Shelf Ice Shelves The Royal Society: Figshare |
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Open Polar |
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The Royal Society: Figshare |
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ftroysocietyfig |
language |
unknown |
topic |
Oceanography Glaciology Mathematical Sciences not elsewhere classified plumes Antarctica ice-shelves ice-sheets melting |
spellingShingle |
Oceanography Glaciology Mathematical Sciences not elsewhere classified plumes Antarctica ice-shelves ice-sheets melting Alexander T. Bradley C. Rosie Williams Adrian Jenkins Robert Arthern Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
topic_facet |
Oceanography Glaciology Mathematical Sciences not elsewhere classified plumes Antarctica ice-shelves ice-sheets melting |
description |
Accurate predictions of basal melt rates on ice shelves are necessary for precise projections of the future behaviour of ice sheets. The computational expense associated with completely resolving the cavity circulation using an ocean model makes this approach unfeasible for multi-century simulations, and parametrizations of melt rates are required. At present, some of the most advanced melt rate parametrizations are based on a one-dimensional approximation to the melt rate that emerges from the theory of subglacial plumes applied to ice shelves with constant basal slopes and uniform ambient ocean conditions; in this work, we present an asymptotic analysis of the corresponding equations in which non-constant basal slopes and typical ambient conditions are imposed. This analysis exploits the small aspect ratio of ice shelf bases, the relatively weak thermal driving and the relative slenderness of the region separating warm, salty water at depth and cold, fresh water at the surface in the ambient ocean. We construct an approximation to the melt rate that is based on this analysis, which shows good agreement with numerical solutions in a wide variety of cases, suggesting a path towards improved predictions of basal melt rates in ice-sheet models. |
format |
Other Non-Article Part of Journal/Newspaper |
author |
Alexander T. Bradley C. Rosie Williams Adrian Jenkins Robert Arthern |
author_facet |
Alexander T. Bradley C. Rosie Williams Adrian Jenkins Robert Arthern |
author_sort |
Alexander T. Bradley |
title |
Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
title_short |
Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
title_full |
Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
title_fullStr |
Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
title_full_unstemmed |
Supplementary Information for ‘Asymptotic Analysis of Subglacial Plumes in Stratified Environments‘ by Bradley et al from Asymptotic analysis of subglacial plumes in stratified environments |
title_sort |
supplementary information for ‘asymptotic analysis of subglacial plumes in stratified environments‘ by bradley et al from asymptotic analysis of subglacial plumes in stratified environments |
publishDate |
2022 |
url |
https://doi.org/10.6084/m9.figshare.19235821.v1 https://figshare.com/articles/journal_contribution/Supplementary_Information_for_Asymptotic_Analysis_of_Subglacial_Plumes_in_Stratified_Environments_by_Bradley_et_al_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments/19235821 |
genre |
Antarc* Antarctica Ice Sheet Ice Shelf Ice Shelves |
genre_facet |
Antarc* Antarctica Ice Sheet Ice Shelf Ice Shelves |
op_relation |
doi:10.6084/m9.figshare.19235821.v1 https://figshare.com/articles/journal_contribution/Supplementary_Information_for_Asymptotic_Analysis_of_Subglacial_Plumes_in_Stratified_Environments_by_Bradley_et_al_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments/19235821 |
op_rights |
CC BY 4.0 |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.6084/m9.figshare.19235821.v1 |
_version_ |
1766264858695696384 |