COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION
Abstract. This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads. That source considers a single ice stream, but we apply their underlying model to continent-scale ice sheet simulatio...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.261.5958 2023-05-15T16:40:18+02:00 COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION Craig S. Lingle Jed A. Kallen-brown The Pennsylvania State University CiteSeerX Archives 2006 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.5958 http://arxiv.org/pdf/physics/0606074v1.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.5958 http://arxiv.org/pdf/physics/0606074v1.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://arxiv.org/pdf/physics/0606074v1.pdf text 2006 ftciteseerx 2016-01-07T20:12:04Z Abstract. This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads. That source considers a single ice stream, but we apply their underlying model to continent-scale ice sheet simulation. Their model combines Farrell’s (1972) elastic spherical earth with a viscous half-space overlain by an elastic plate lithosphere. The latter half-space model is derivable from calculations by Cathles (1975). For the elastic spherical earth we use Farrell’s tabulated Green’s function, as do Lingle & Clark. For the half-space model, however, we propose and implement a significantly faster numerical strategy, a spectral collocation method (Trefethen 2000) based directly on the Fast Fourier Transform. To verify this method we compare to an integral formula for a disc load. To compare earth models we build an accumulation history from a growing similarity solution from (Bueler, et al. 2005) and and simulate the coupled (ice flow)-(earth deformation) system. In the case of simple isostasy the exact solution to this system is known. We demonstrate that the magnitudes of numerical errors made in approximating the ice-earth system are significantly smaller than pairwise differences between several earth models, namely, simple isostasy, the Text Ice Sheet Unknown |
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English |
description |
Abstract. This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads. That source considers a single ice stream, but we apply their underlying model to continent-scale ice sheet simulation. Their model combines Farrell’s (1972) elastic spherical earth with a viscous half-space overlain by an elastic plate lithosphere. The latter half-space model is derivable from calculations by Cathles (1975). For the elastic spherical earth we use Farrell’s tabulated Green’s function, as do Lingle & Clark. For the half-space model, however, we propose and implement a significantly faster numerical strategy, a spectral collocation method (Trefethen 2000) based directly on the Fast Fourier Transform. To verify this method we compare to an integral formula for a disc load. To compare earth models we build an accumulation history from a growing similarity solution from (Bueler, et al. 2005) and and simulate the coupled (ice flow)-(earth deformation) system. In the case of simple isostasy the exact solution to this system is known. We demonstrate that the magnitudes of numerical errors made in approximating the ice-earth system are significantly smaller than pairwise differences between several earth models, namely, simple isostasy, the |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Craig S. Lingle Jed A. Kallen-brown |
spellingShingle |
Craig S. Lingle Jed A. Kallen-brown COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
author_facet |
Craig S. Lingle Jed A. Kallen-brown |
author_sort |
Craig S. Lingle |
title |
COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
title_short |
COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
title_full |
COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
title_fullStr |
COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
title_full_unstemmed |
COMPUTATION OF A COMBINED SPHERICAL-ELASTIC AND VISCOUS-HALF-SPACE EARTH MODEL FOR ICE SHEET SIMULATION |
title_sort |
computation of a combined spherical-elastic and viscous-half-space earth model for ice sheet simulation |
publishDate |
2006 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.5958 http://arxiv.org/pdf/physics/0606074v1.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
http://arxiv.org/pdf/physics/0606074v1.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.5958 http://arxiv.org/pdf/physics/0606074v1.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766030682722664448 |