Supplementary material 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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ftdatacite:10.6084/m9.figshare.c.5862418.v1 2023-05-15T16:41:04+02:00 Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" Bradley, Alexander T. Rosie Williams, C. Jenkins, Adrian Arthern, Robert 2022 https://dx.doi.org/10.6084/m9.figshare.c.5862418.v1 https://rs.figshare.com/collections/Supplementary_material_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments_/5862418/1 unknown The Royal Society https://dx.doi.org/10.1098/rspa.2021.0846 https://dx.doi.org/10.6084/m9.figshare.c.5862418 Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 CC-BY Oceanography FOS Earth and related environmental sciences 40602 Glaciology 19999 Mathematical Sciences not elsewhere classified FOS Mathematics article Collection 2022 ftdatacite https://doi.org/10.6084/m9.figshare.c.5862418.v1 https://doi.org/10.1098/rspa.2021.0846 https://doi.org/10.6084/m9.figshare.c.5862418 2022-04-01T10:32:21Z 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. Article in Journal/Newspaper Ice Sheet Ice Shelf Ice Shelves DataCite Metadata Store (German National Library of Science and Technology) |
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Open Polar |
collection |
DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
unknown |
topic |
Oceanography FOS Earth and related environmental sciences 40602 Glaciology 19999 Mathematical Sciences not elsewhere classified FOS Mathematics |
spellingShingle |
Oceanography FOS Earth and related environmental sciences 40602 Glaciology 19999 Mathematical Sciences not elsewhere classified FOS Mathematics Bradley, Alexander T. Rosie Williams, C. Jenkins, Adrian Arthern, Robert Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
topic_facet |
Oceanography FOS Earth and related environmental sciences 40602 Glaciology 19999 Mathematical Sciences not elsewhere classified FOS Mathematics |
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 |
Article in Journal/Newspaper |
author |
Bradley, Alexander T. Rosie Williams, C. Jenkins, Adrian Arthern, Robert |
author_facet |
Bradley, Alexander T. Rosie Williams, C. Jenkins, Adrian Arthern, Robert |
author_sort |
Bradley, Alexander T. |
title |
Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
title_short |
Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
title_full |
Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
title_fullStr |
Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
title_full_unstemmed |
Supplementary material from "Asymptotic analysis of subglacial plumes in stratified environments" |
title_sort |
supplementary material from "asymptotic analysis of subglacial plumes in stratified environments" |
publisher |
The Royal Society |
publishDate |
2022 |
url |
https://dx.doi.org/10.6084/m9.figshare.c.5862418.v1 https://rs.figshare.com/collections/Supplementary_material_from_Asymptotic_analysis_of_subglacial_plumes_in_stratified_environments_/5862418/1 |
genre |
Ice Sheet Ice Shelf Ice Shelves |
genre_facet |
Ice Sheet Ice Shelf Ice Shelves |
op_relation |
https://dx.doi.org/10.1098/rspa.2021.0846 https://dx.doi.org/10.6084/m9.figshare.c.5862418 |
op_rights |
Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.6084/m9.figshare.c.5862418.v1 https://doi.org/10.1098/rspa.2021.0846 https://doi.org/10.6084/m9.figshare.c.5862418 |
_version_ |
1766031501246332928 |