Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations
ABSTRACT. The model used by Lingle and Clark (1985) to approximate the deformation of the Earth under a single ice stream is adapted to the purposes of continent-scale ice-sheet simulation. The model combines a layered elastic spherical Earth (Farrell, 1972) with a viscous half-space overlain by an...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.429.7792 2023-05-15T16:40:12+02:00 Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations Craig S. Lingle Jed Brown The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.7792 http://www.igsoc.org/annals/46/a46a130.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.7792 http://www.igsoc.org/annals/46/a46a130.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.igsoc.org/annals/46/a46a130.pdf text ftciteseerx 2016-01-08T04:32:41Z ABSTRACT. The model used by Lingle and Clark (1985) to approximate the deformation of the Earth under a single ice stream is adapted to the purposes of continent-scale ice-sheet simulation. The model combines a layered elastic spherical Earth (Farrell, 1972) with a viscous half-space overlain by an elastic plate lithosphere (Cathles, 1975). For the half-space model we identify a new mathematical formulation, essentially a time-dependent partial differential equation, which generalizes and improves upon the standard elastic plate lithosphere with relaxing asthenosphere model widely used in ice-sheet simulation. The new formulation allows a significantly faster numerical strategy, a spectral collocation method based directly on the fast Fourier transform. We verify this method by comparing to an integral formula for a disk load. We also demonstrate that the magnitudes of numerical errors made in approximating coupled ice-flow/Earth-deformation systems are significantly smaller than pairwise differences between several Earth models. Our implementation of the Lingle and Clark (1985) model offers important features of spherical, layered, self-gravitating, viscoelastic Earth models without the computational expense. 1. Text Ice Sheet Unknown |
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Open Polar |
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ftciteseerx |
language |
English |
description |
ABSTRACT. The model used by Lingle and Clark (1985) to approximate the deformation of the Earth under a single ice stream is adapted to the purposes of continent-scale ice-sheet simulation. The model combines a layered elastic spherical Earth (Farrell, 1972) with a viscous half-space overlain by an elastic plate lithosphere (Cathles, 1975). For the half-space model we identify a new mathematical formulation, essentially a time-dependent partial differential equation, which generalizes and improves upon the standard elastic plate lithosphere with relaxing asthenosphere model widely used in ice-sheet simulation. The new formulation allows a significantly faster numerical strategy, a spectral collocation method based directly on the fast Fourier transform. We verify this method by comparing to an integral formula for a disk load. We also demonstrate that the magnitudes of numerical errors made in approximating coupled ice-flow/Earth-deformation systems are significantly smaller than pairwise differences between several Earth models. Our implementation of the Lingle and Clark (1985) model offers important features of spherical, layered, self-gravitating, viscoelastic Earth models without the computational expense. 1. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Craig S. Lingle Jed Brown |
spellingShingle |
Craig S. Lingle Jed Brown Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
author_facet |
Craig S. Lingle Jed Brown |
author_sort |
Craig S. Lingle |
title |
Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
title_short |
Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
title_full |
Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
title_fullStr |
Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
title_full_unstemmed |
Annals of Glaciology 46 2007 97 Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations |
title_sort |
annals of glaciology 46 2007 97 fast computation of a viscoelastic deformable earth model for ice-sheet simulations |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.7792 http://www.igsoc.org/annals/46/a46a130.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
http://www.igsoc.org/annals/46/a46a130.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.7792 http://www.igsoc.org/annals/46/a46a130.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766030581255110656 |