Normal modes of an ice sheet
A linearized perturbation about the Vialov–Nye fixed-span solution for a steady-state ice sheet yields a Sturm-Liouville problem. The numerical eigenvalue problem is solved and the resulting normal modes are used to compute Green's and influence functions for perturbations to the accumulation r...
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Cambridge University Press (CUP)
1997
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Online Access: | http://dx.doi.org/10.1017/s0022112096004612 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112096004612 |
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crcambridgeupr:10.1017/s0022112096004612 2024-03-03T08:45:23+00:00 Normal modes of an ice sheet HINDMARSH, RICHARD C. A. 1997 http://dx.doi.org/10.1017/s0022112096004612 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112096004612 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 335, page 393-413 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics journal-article 1997 crcambridgeupr https://doi.org/10.1017/s0022112096004612 2024-02-08T08:47:37Z A linearized perturbation about the Vialov–Nye fixed-span solution for a steady-state ice sheet yields a Sturm-Liouville problem. The numerical eigenvalue problem is solved and the resulting normal modes are used to compute Green's and influence functions for perturbations to the accumulation rate, the rate factor and for long-wavelength basal topography. The eigenvalue for the slowest mode is approximately the same as that predicted by the zero-dimensional theory. It is found that the sensitivity of the steady profile to accumulation is greatest in the central area of the ice sheet, while the sensitivity to rate factor is greatest near the margin. The antisymmetric perturbation provides information about the relaxation time for divide motion and spatial variation in the sensitivity of divide deviation from the ice-sheet centre to accumulation rate variations. The use of the method for model initialization is considered. Forcing deviations of 30% give relative errors in the perturbation of about 10%. Article in Journal/Newspaper Ice Sheet Cambridge University Press Sturm ENVELOPE(162.967,162.967,-71.050,-71.050) Journal of Fluid Mechanics 335 393 413 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
spellingShingle |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics HINDMARSH, RICHARD C. A. Normal modes of an ice sheet |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
description |
A linearized perturbation about the Vialov–Nye fixed-span solution for a steady-state ice sheet yields a Sturm-Liouville problem. The numerical eigenvalue problem is solved and the resulting normal modes are used to compute Green's and influence functions for perturbations to the accumulation rate, the rate factor and for long-wavelength basal topography. The eigenvalue for the slowest mode is approximately the same as that predicted by the zero-dimensional theory. It is found that the sensitivity of the steady profile to accumulation is greatest in the central area of the ice sheet, while the sensitivity to rate factor is greatest near the margin. The antisymmetric perturbation provides information about the relaxation time for divide motion and spatial variation in the sensitivity of divide deviation from the ice-sheet centre to accumulation rate variations. The use of the method for model initialization is considered. Forcing deviations of 30% give relative errors in the perturbation of about 10%. |
format |
Article in Journal/Newspaper |
author |
HINDMARSH, RICHARD C. A. |
author_facet |
HINDMARSH, RICHARD C. A. |
author_sort |
HINDMARSH, RICHARD C. A. |
title |
Normal modes of an ice sheet |
title_short |
Normal modes of an ice sheet |
title_full |
Normal modes of an ice sheet |
title_fullStr |
Normal modes of an ice sheet |
title_full_unstemmed |
Normal modes of an ice sheet |
title_sort |
normal modes of an ice sheet |
publisher |
Cambridge University Press (CUP) |
publishDate |
1997 |
url |
http://dx.doi.org/10.1017/s0022112096004612 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112096004612 |
long_lat |
ENVELOPE(162.967,162.967,-71.050,-71.050) |
geographic |
Sturm |
geographic_facet |
Sturm |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 335, page 393-413 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s0022112096004612 |
container_title |
Journal of Fluid Mechanics |
container_volume |
335 |
container_start_page |
393 |
op_container_end_page |
413 |
_version_ |
1792500928998277120 |