A large-scale numerical model for computing isochrone geometry
A finite-difference model for the calculation of radar layer geometries in large ice masses is presented. Balance velocities are used as coefficients in the age equation and in the heat equation. Solution of the heat equation allows prediction of sliding areas and computation of basal melt rates. Ve...
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2009
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ftnerc:oai:nora.nerc.ac.uk:11031 2023-05-15T13:29:37+02:00 A large-scale numerical model for computing isochrone geometry Hindmarsh, Richard C.A. Leysinger Vieli, Gwendolyn J.-M.C. Parrenin, Frédéric 2009 http://nora.nerc.ac.uk/id/eprint/11031/ http://www.igsoc.org/annals/V50/51/t51A010.pdf unknown International Glaciological Society Hindmarsh, Richard C.A. orcid:0000-0003-1633-2416 Leysinger Vieli, Gwendolyn J.-M.C.; Parrenin, Frédéric. 2009 A large-scale numerical model for computing isochrone geometry. Annals of Glaciology, 50 (51). 130-140. https://doi.org/10.3189/172756409789097450 <https://doi.org/10.3189/172756409789097450> Glaciology Earth Sciences Publication - Article PeerReviewed 2009 ftnerc https://doi.org/10.3189/172756409789097450 2023-02-04T19:27:08Z A finite-difference model for the calculation of radar layer geometries in large ice masses is presented. Balance velocities are used as coefficients in the age equation and in the heat equation. Solution of the heat equation allows prediction of sliding areas and computation of basal melt rates. Vertical distributions of velocity are parameterized using shape functions. These can be set uniformly, or allowed to vary in space according to the distribution of sliding. The vertical coordinate can either be uniformly distributed within the thickness of the ice, or be uniformly distributed within the flux. The finite-difference scheme results in a large set of linear equations. These are solved using a nested factorization preconditioned conjugate gradient scheme. The convergence properties of some other iteration solution schemes are studied. The output is computations of age and temperature assuming steady state, in large ice masses at high resolution. Age calculations are used to generate isochrones which show the best fit to observed layers. Comparisons with analytical solutions are made, and the influence of the order of the finite-difference approximation and the choice of vertical coordinate on solution accuracy is considered. Article in Journal/Newspaper Annals of Glaciology Natural Environment Research Council: NERC Open Research Archive Annals of Glaciology 50 51 130 140 |
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Open Polar |
collection |
Natural Environment Research Council: NERC Open Research Archive |
op_collection_id |
ftnerc |
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unknown |
topic |
Glaciology Earth Sciences |
spellingShingle |
Glaciology Earth Sciences Hindmarsh, Richard C.A. Leysinger Vieli, Gwendolyn J.-M.C. Parrenin, Frédéric A large-scale numerical model for computing isochrone geometry |
topic_facet |
Glaciology Earth Sciences |
description |
A finite-difference model for the calculation of radar layer geometries in large ice masses is presented. Balance velocities are used as coefficients in the age equation and in the heat equation. Solution of the heat equation allows prediction of sliding areas and computation of basal melt rates. Vertical distributions of velocity are parameterized using shape functions. These can be set uniformly, or allowed to vary in space according to the distribution of sliding. The vertical coordinate can either be uniformly distributed within the thickness of the ice, or be uniformly distributed within the flux. The finite-difference scheme results in a large set of linear equations. These are solved using a nested factorization preconditioned conjugate gradient scheme. The convergence properties of some other iteration solution schemes are studied. The output is computations of age and temperature assuming steady state, in large ice masses at high resolution. Age calculations are used to generate isochrones which show the best fit to observed layers. Comparisons with analytical solutions are made, and the influence of the order of the finite-difference approximation and the choice of vertical coordinate on solution accuracy is considered. |
format |
Article in Journal/Newspaper |
author |
Hindmarsh, Richard C.A. Leysinger Vieli, Gwendolyn J.-M.C. Parrenin, Frédéric |
author_facet |
Hindmarsh, Richard C.A. Leysinger Vieli, Gwendolyn J.-M.C. Parrenin, Frédéric |
author_sort |
Hindmarsh, Richard C.A. |
title |
A large-scale numerical model for computing isochrone geometry |
title_short |
A large-scale numerical model for computing isochrone geometry |
title_full |
A large-scale numerical model for computing isochrone geometry |
title_fullStr |
A large-scale numerical model for computing isochrone geometry |
title_full_unstemmed |
A large-scale numerical model for computing isochrone geometry |
title_sort |
large-scale numerical model for computing isochrone geometry |
publisher |
International Glaciological Society |
publishDate |
2009 |
url |
http://nora.nerc.ac.uk/id/eprint/11031/ http://www.igsoc.org/annals/V50/51/t51A010.pdf |
genre |
Annals of Glaciology |
genre_facet |
Annals of Glaciology |
op_relation |
Hindmarsh, Richard C.A. orcid:0000-0003-1633-2416 Leysinger Vieli, Gwendolyn J.-M.C.; Parrenin, Frédéric. 2009 A large-scale numerical model for computing isochrone geometry. Annals of Glaciology, 50 (51). 130-140. https://doi.org/10.3189/172756409789097450 <https://doi.org/10.3189/172756409789097450> |
op_doi |
https://doi.org/10.3189/172756409789097450 |
container_title |
Annals of Glaciology |
container_volume |
50 |
container_issue |
51 |
container_start_page |
130 |
op_container_end_page |
140 |
_version_ |
1766001528983781376 |