A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models
Accurate dating in ice sheets is required for a correct interpretation of palaeoclimatic records and for incorporation of material characteristics in the flow law which depend on ice age. In this paper we make a detailed comparison between a Lagrangian and Eulerian approach to the ice advection prob...
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ftawi:oai:epic.awi.de:5628 2023-09-05T13:12:04+02:00 A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models Rybak, Oleg Huybrechts, Philippe 2003 application/pdf https://epic.awi.de/id/eprint/5628/ https://epic.awi.de/id/eprint/5628/1/Ryb2003a.pdf https://hdl.handle.net/10013/epic.16191 https://hdl.handle.net/10013/epic.16191.d001 unknown https://epic.awi.de/id/eprint/5628/1/Ryb2003a.pdf https://hdl.handle.net/10013/epic.16191.d001 Rybak, O. and Huybrechts, P. (2003) A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models , Annals of Glaciology, 37 , pp. 150-158 . hdl:10013/epic.16191 EPIC3Annals of Glaciology, 37, pp. 150-158 Article isiRev 2003 ftawi 2023-08-22T19:45:33Z Accurate dating in ice sheets is required for a correct interpretation of palaeoclimatic records and for incorporation of material characteristics in the flow law which depend on ice age. In this paper we make a detailed comparison between a Lagrangian and Eulerian approach to the ice advection problem in numerical ice sheet models. This comparison is first performed for a schematic two-dimensional ice sheet of Nye-Vialov type with a prescribed stationary velocity field. Several cases are examined which incorporate basal melting, basal sliding, and an undulating bed. A further comparison is made with an analytical solution for the ice divide. Both methods are also applied in a thermomechanical model of the Antarctic ice sheet for present-day climate conditions. Our main conclusion is that for similar discretisation parameters the Lagrangian method produces less error than an Eulerian approach using a second-order upwinding finite-difference scheme, though the difference is small (<1%) for the largest part of the model domain. However, problems are introduced in the Lagrangian approach due to the dispersion of tracers necessitating the use of interpolation procedures that are a source of additional error. It is also shown that a cubic-spline approximation of Lagrangian trajectories improves accuracy, but such a method is computationally prohibitive in large-scale ice-sheet models. Article in Journal/Newspaper Annals of Glaciology Antarc* Antarctic Ice Sheet Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) Antarctic The Antarctic |
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Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) |
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Accurate dating in ice sheets is required for a correct interpretation of palaeoclimatic records and for incorporation of material characteristics in the flow law which depend on ice age. In this paper we make a detailed comparison between a Lagrangian and Eulerian approach to the ice advection problem in numerical ice sheet models. This comparison is first performed for a schematic two-dimensional ice sheet of Nye-Vialov type with a prescribed stationary velocity field. Several cases are examined which incorporate basal melting, basal sliding, and an undulating bed. A further comparison is made with an analytical solution for the ice divide. Both methods are also applied in a thermomechanical model of the Antarctic ice sheet for present-day climate conditions. Our main conclusion is that for similar discretisation parameters the Lagrangian method produces less error than an Eulerian approach using a second-order upwinding finite-difference scheme, though the difference is small (<1%) for the largest part of the model domain. However, problems are introduced in the Lagrangian approach due to the dispersion of tracers necessitating the use of interpolation procedures that are a source of additional error. It is also shown that a cubic-spline approximation of Lagrangian trajectories improves accuracy, but such a method is computationally prohibitive in large-scale ice-sheet models. |
format |
Article in Journal/Newspaper |
author |
Rybak, Oleg Huybrechts, Philippe |
spellingShingle |
Rybak, Oleg Huybrechts, Philippe A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
author_facet |
Rybak, Oleg Huybrechts, Philippe |
author_sort |
Rybak, Oleg |
title |
A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
title_short |
A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
title_full |
A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
title_fullStr |
A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
title_full_unstemmed |
A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models |
title_sort |
comparison of eulerian and lagrangian methods for dating in numerical ice sheet models |
publishDate |
2003 |
url |
https://epic.awi.de/id/eprint/5628/ https://epic.awi.de/id/eprint/5628/1/Ryb2003a.pdf https://hdl.handle.net/10013/epic.16191 https://hdl.handle.net/10013/epic.16191.d001 |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Annals of Glaciology Antarc* Antarctic Ice Sheet |
genre_facet |
Annals of Glaciology Antarc* Antarctic Ice Sheet |
op_source |
EPIC3Annals of Glaciology, 37, pp. 150-158 |
op_relation |
https://epic.awi.de/id/eprint/5628/1/Ryb2003a.pdf https://hdl.handle.net/10013/epic.16191.d001 Rybak, O. and Huybrechts, P. (2003) A comparison of Eulerian and Lagrangian methods for dating in numerical ice sheet models , Annals of Glaciology, 37 , pp. 150-158 . hdl:10013/epic.16191 |
_version_ |
1776198814009393152 |