dorsal/arxiv
View SchemaComputation of a combined spherical-elastic and viscous-half-space earth model for ice sheet simulation
| Authors | Ed Bueler, Craig S. Lingle, Jed A. Kallen-Brown |
|---|---|
| Categories | |
| ArXiv ID | physics/0606074 |
| URL | https://arxiv.org/abs/physics/0606074 |
| DOI | 10.3189/172756407782871567 |
| Journal | Annals of Glaciology vol 46, pp 97-105, 2007 |
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 current standard model used in ice sheet simulation (Greve 2001, Hagdorn 2003, Zweck & Huybrechts 2005), and the Lingle & Clark model. Therefore further efforts to validate different earth models used in ice sheet simulations are, not surprisingly, worthwhile.
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"abstract": "This report starts by describing the continuum model used by Lingle \u0026 Clark\n(1985) to approximate the deformation of the earth under changing ice sheet and\nocean loads. That source considers a single ice stream, but we apply their\nunderlying model to continent-scale ice sheet simulation. Their model combines\nFarrell\u0027s (1972) elastic spherical earth with a viscous half-space overlain by\nan elastic plate lithosphere. The latter half-space model is derivable from\ncalculations by Cathles (1975). For the elastic spherical earth we use\nFarrell\u0027s tabulated Green\u0027s function, as do Lingle \u0026 Clark. For the half-space\nmodel, however, we propose and implement a significantly faster numerical\nstrategy, a spectral collocation method (Trefethen 2000) based directly on the\nFast Fourier Transform. To verify this method we compare to an integral formula\nfor a disc load. To compare earth models we build an accumulation history from\na growing similarity solution from (Bueler, et al.~2005) and and simulate the\ncoupled (ice flow)-(earth deformation) system. In the case of simple isostasy\nthe exact solution to this system is known. We demonstrate that the magnitudes\nof numerical errors made in approximating the ice-earth system are\nsignificantly smaller than pairwise differences between several earth models,\nnamely, simple isostasy, the current standard model used in ice sheet\nsimulation (Greve 2001, Hagdorn 2003, Zweck \u0026 Huybrechts 2005), and the Lingle\n\u0026 Clark model. Therefore further efforts to validate different earth models\nused in ice sheet simulations are, not surprisingly, worthwhile.",
"arxiv_id": "physics/0606074",
"authors": [
"Ed Bueler",
"Craig S. Lingle",
"Jed A. Kallen-Brown"
],
"categories": [
"physics.geo-ph",
"physics.comp-ph"
],
"doi": "10.3189/172756407782871567",
"journal_ref": "Annals of Glaciology vol 46, pp 97-105, 2007",
"title": "Computation of a combined spherical-elastic and viscous-half-space earth model for ice sheet simulation",
"url": "https://arxiv.org/abs/physics/0606074"
},
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