Enthalpy benchmark experiments for numerical ice sheet models
We present benchmark experiments to test the implementation of enthalpy and the corresponding boundary conditions in numerical ice sheet models. Since we impose several assumptions on the experiment design, analytical solutions can be formulated for the proposed numerical experiments. The first expe...
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ftawi:oai:epic.awi.de:37264 2023-05-15T16:40:24+02:00 Enthalpy benchmark experiments for numerical ice sheet models Kleiner, Thomas Rückamp, Martin Bondzio, Johannes H. Humbert, Angelika 2015-02-06 application/pdf https://epic.awi.de/id/eprint/37264/ https://epic.awi.de/id/eprint/37264/1/tc-9-217-2015.pdf http://www.the-cryosphere.net/9/217/2015/ https://hdl.handle.net/10013/epic.44957 https://hdl.handle.net/10013/epic.44957.d001 unknown Copernicus Publications https://epic.awi.de/id/eprint/37264/1/tc-9-217-2015.pdf https://hdl.handle.net/10013/epic.44957.d001 Kleiner, T. orcid:0000-0001-7825-5765 , Rückamp, M. orcid:0000-0003-2512-7238 , Bondzio, J. H. and Humbert, A. (2015) Enthalpy benchmark experiments for numerical ice sheet models , The Cryosphere, 9 (1), pp. 217-228 . doi:10.5194/tc-9-217-2015 <https://doi.org/10.5194/tc-9-217-2015> , hdl:10013/epic.44957 EPIC3The Cryosphere, Copernicus Publications, 9(1), pp. 217-228, ISSN: 1994-0416 Article isiRev 2015 ftawi https://doi.org/10.5194/tc-9-217-2015 2021-12-24T15:40:14Z We present benchmark experiments to test the implementation of enthalpy and the corresponding boundary conditions in numerical ice sheet models. Since we impose several assumptions on the experiment design, analytical solutions can be formulated for the proposed numerical experiments. The first experiment tests the functionality of the boundary condition scheme and the basal melt rate calculation during transient simulations. The second experiment addresses the steady-state enthalpy profile and the resulting position of the cold–temperate transition surface (CTS). For both experiments we assume ice flow in a parallel-sided slab decoupled from the thermal regime. We compare simulation results achieved by three different ice flow-models with these analytical solutions. The models agree well to the analytical solutions, if the change in conductivity between cold and temperate ice is properly considered in the model. In particular, the enthalpy gradient on the cold side of the CTS goes to zero in the limit of vanishing temperate-ice conductivity, as required from the physical jump conditions at the CTS. Article in Journal/Newspaper Ice Sheet The Cryosphere Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) The Cryosphere 9 1 217 228 |
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Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) |
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ftawi |
language |
unknown |
description |
We present benchmark experiments to test the implementation of enthalpy and the corresponding boundary conditions in numerical ice sheet models. Since we impose several assumptions on the experiment design, analytical solutions can be formulated for the proposed numerical experiments. The first experiment tests the functionality of the boundary condition scheme and the basal melt rate calculation during transient simulations. The second experiment addresses the steady-state enthalpy profile and the resulting position of the cold–temperate transition surface (CTS). For both experiments we assume ice flow in a parallel-sided slab decoupled from the thermal regime. We compare simulation results achieved by three different ice flow-models with these analytical solutions. The models agree well to the analytical solutions, if the change in conductivity between cold and temperate ice is properly considered in the model. In particular, the enthalpy gradient on the cold side of the CTS goes to zero in the limit of vanishing temperate-ice conductivity, as required from the physical jump conditions at the CTS. |
format |
Article in Journal/Newspaper |
author |
Kleiner, Thomas Rückamp, Martin Bondzio, Johannes H. Humbert, Angelika |
spellingShingle |
Kleiner, Thomas Rückamp, Martin Bondzio, Johannes H. Humbert, Angelika Enthalpy benchmark experiments for numerical ice sheet models |
author_facet |
Kleiner, Thomas Rückamp, Martin Bondzio, Johannes H. Humbert, Angelika |
author_sort |
Kleiner, Thomas |
title |
Enthalpy benchmark experiments for numerical ice sheet models |
title_short |
Enthalpy benchmark experiments for numerical ice sheet models |
title_full |
Enthalpy benchmark experiments for numerical ice sheet models |
title_fullStr |
Enthalpy benchmark experiments for numerical ice sheet models |
title_full_unstemmed |
Enthalpy benchmark experiments for numerical ice sheet models |
title_sort |
enthalpy benchmark experiments for numerical ice sheet models |
publisher |
Copernicus Publications |
publishDate |
2015 |
url |
https://epic.awi.de/id/eprint/37264/ https://epic.awi.de/id/eprint/37264/1/tc-9-217-2015.pdf http://www.the-cryosphere.net/9/217/2015/ https://hdl.handle.net/10013/epic.44957 https://hdl.handle.net/10013/epic.44957.d001 |
genre |
Ice Sheet The Cryosphere |
genre_facet |
Ice Sheet The Cryosphere |
op_source |
EPIC3The Cryosphere, Copernicus Publications, 9(1), pp. 217-228, ISSN: 1994-0416 |
op_relation |
https://epic.awi.de/id/eprint/37264/1/tc-9-217-2015.pdf https://hdl.handle.net/10013/epic.44957.d001 Kleiner, T. orcid:0000-0001-7825-5765 , Rückamp, M. orcid:0000-0003-2512-7238 , Bondzio, J. H. and Humbert, A. (2015) Enthalpy benchmark experiments for numerical ice sheet models , The Cryosphere, 9 (1), pp. 217-228 . doi:10.5194/tc-9-217-2015 <https://doi.org/10.5194/tc-9-217-2015> , hdl:10013/epic.44957 |
op_doi |
https://doi.org/10.5194/tc-9-217-2015 |
container_title |
The Cryosphere |
container_volume |
9 |
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1 |
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217 |
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228 |
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1766030798304051200 |