Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model
A numerical model for three-dimensional, time-dependent glacier flow (Campbell and Rasmussen, 1970) treated the ice as a Newtonian viscous fluid and related its dynamics to two large-scale bulk parameters: the viscosity v determining the ice-to-ice friction, and a basal friction parameter A determin...
Published in: | Journal of Glaciology |
---|---|
Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Cambridge University Press (CUP)
1973
|
Subjects: | |
Online Access: | http://dx.doi.org/10.1017/s0022143000031786 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031786 |
id |
crcambridgeupr:10.1017/s0022143000031786 |
---|---|
record_format |
openpolar |
spelling |
crcambridgeupr:10.1017/s0022143000031786 2024-03-03T08:46:07+00:00 Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model Rasmussen, L. A. Campbell, W. J. 1973 http://dx.doi.org/10.1017/s0022143000031786 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031786 en eng Cambridge University Press (CUP) Journal of Glaciology volume 12, issue 66, page 361-373 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1973 crcambridgeupr https://doi.org/10.1017/s0022143000031786 2024-02-08T08:36:15Z A numerical model for three-dimensional, time-dependent glacier flow (Campbell and Rasmussen, 1970) treated the ice as a Newtonian viscous fluid and related its dynamics to two large-scale bulk parameters: the viscosity v determining the ice-to-ice friction, and a basal friction parameter A determining the ice-to-rock friction. The equations were solved using the relatively simple flow law of Bodvarsson (1955) in which the basal shear stress is proportional to volume transport. Recent research suggests that a more realistic basal flow law is one in which the basal shear stress to some lower power (1–3) is either proportional to the vertically averaged velocity (Glen, 1958; Nye, 1960, 1963[a], [b], [c], 1965[a], [b], [c]) or to the ratio of the vertically averaged velocity to glacier thickness (Budd and Jenssen, in press). In the present study a generalized flow law incorporating all of the above bulk basal flow laws is applied to the Campbell–Rasmussen momentum equation to form a generalized two-dimensional transport equation, which, when combined with the continuity equation, yields a numerically tractable set of equations for three-dimensional, time-dependent glacier flow. Solutions of the model are shown for steady-state flow and surge advance and recovery for a typical valley glacier bed for powers 1, 2, and 3 for each of the basal flow laws for a steady-state climate input and a given ice-to-ice viscosity parameter. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Rasmussen ENVELOPE(-64.084,-64.084,-65.248,-65.248) Journal of Glaciology 12 66 361 373 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Rasmussen, L. A. Campbell, W. J. Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
topic_facet |
Earth-Surface Processes |
description |
A numerical model for three-dimensional, time-dependent glacier flow (Campbell and Rasmussen, 1970) treated the ice as a Newtonian viscous fluid and related its dynamics to two large-scale bulk parameters: the viscosity v determining the ice-to-ice friction, and a basal friction parameter A determining the ice-to-rock friction. The equations were solved using the relatively simple flow law of Bodvarsson (1955) in which the basal shear stress is proportional to volume transport. Recent research suggests that a more realistic basal flow law is one in which the basal shear stress to some lower power (1–3) is either proportional to the vertically averaged velocity (Glen, 1958; Nye, 1960, 1963[a], [b], [c], 1965[a], [b], [c]) or to the ratio of the vertically averaged velocity to glacier thickness (Budd and Jenssen, in press). In the present study a generalized flow law incorporating all of the above bulk basal flow laws is applied to the Campbell–Rasmussen momentum equation to form a generalized two-dimensional transport equation, which, when combined with the continuity equation, yields a numerically tractable set of equations for three-dimensional, time-dependent glacier flow. Solutions of the model are shown for steady-state flow and surge advance and recovery for a typical valley glacier bed for powers 1, 2, and 3 for each of the basal flow laws for a steady-state climate input and a given ice-to-ice viscosity parameter. |
format |
Article in Journal/Newspaper |
author |
Rasmussen, L. A. Campbell, W. J. |
author_facet |
Rasmussen, L. A. Campbell, W. J. |
author_sort |
Rasmussen, L. A. |
title |
Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
title_short |
Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
title_full |
Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
title_fullStr |
Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
title_full_unstemmed |
Comparison of Three Contemporary Flow Laws in a Three-Dimensional, Time-Dependent Glacier Model |
title_sort |
comparison of three contemporary flow laws in a three-dimensional, time-dependent glacier model |
publisher |
Cambridge University Press (CUP) |
publishDate |
1973 |
url |
http://dx.doi.org/10.1017/s0022143000031786 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031786 |
long_lat |
ENVELOPE(-64.084,-64.084,-65.248,-65.248) |
geographic |
Rasmussen |
geographic_facet |
Rasmussen |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 12, issue 66, page 361-373 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000031786 |
container_title |
Journal of Glaciology |
container_volume |
12 |
container_issue |
66 |
container_start_page |
361 |
op_container_end_page |
373 |
_version_ |
1792502029238665216 |