On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation
Most dynamic sea ice models for climate type simulations are based on the viscous–plastic (VP) rheology. The resulting stiff system of partial differential equations for ice velocity is either solved implicitly at great computational cost, or explicitly with added pseudo-elasticity (elastic–viscous–...
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ftawi:oai:epic.awi.de:38203 2024-09-15T18:34:55+00:00 On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation Kimmritz, Madlen Danilov, Sergey Losch, Martin 2015-09-01 https://epic.awi.de/id/eprint/38203/ http://www.sciencedirect.com/science/article/pii/S0021999115003083 https://hdl.handle.net/10013/epic.45625 unknown Kimmritz, M. orcid:0000-0002-6536-0221 , Danilov, S. orcid:0000-0001-8098-182X and Losch, M. orcid:0000-0002-3824-5244 (2015) On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation , Journal of Computational Physics, 296 , pp. 90-100 . doi:10.1016/j.jcp.2015.04.051 <https://doi.org/10.1016/j.jcp.2015.04.051> , hdl:10013/epic.45625 EPIC3Journal of Computational Physics, 296(0), pp. 90-100, ISSN: 0021-9991 Article isiRev 2015 ftawi https://doi.org/10.1016/j.jcp.2015.04.051 2024-06-24T04:12:21Z Most dynamic sea ice models for climate type simulations are based on the viscous–plastic (VP) rheology. The resulting stiff system of partial differential equations for ice velocity is either solved implicitly at great computational cost, or explicitly with added pseudo-elasticity (elastic–viscous–plastic, EVP). A recent modification of the EVP approach seeks to improve the convergence of the EVP method by re-interpreting it as a pseudotime VP solver. The question of convergence of this modified EVP method is revisited here and it is shown that convergence is reached provided the stability requirements are satisfied and the number of pseudotime iterations is sufficiently high. Only in this limit, the VP and the modified EVP solvers converge to the same solution. Related questions of the impact of mesh resolution and incomplete convergence are also addressed. Article in Journal/Newspaper Sea ice Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) Journal of Computational Physics 296 90 100 |
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Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) |
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ftawi |
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unknown |
description |
Most dynamic sea ice models for climate type simulations are based on the viscous–plastic (VP) rheology. The resulting stiff system of partial differential equations for ice velocity is either solved implicitly at great computational cost, or explicitly with added pseudo-elasticity (elastic–viscous–plastic, EVP). A recent modification of the EVP approach seeks to improve the convergence of the EVP method by re-interpreting it as a pseudotime VP solver. The question of convergence of this modified EVP method is revisited here and it is shown that convergence is reached provided the stability requirements are satisfied and the number of pseudotime iterations is sufficiently high. Only in this limit, the VP and the modified EVP solvers converge to the same solution. Related questions of the impact of mesh resolution and incomplete convergence are also addressed. |
format |
Article in Journal/Newspaper |
author |
Kimmritz, Madlen Danilov, Sergey Losch, Martin |
spellingShingle |
Kimmritz, Madlen Danilov, Sergey Losch, Martin On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
author_facet |
Kimmritz, Madlen Danilov, Sergey Losch, Martin |
author_sort |
Kimmritz, Madlen |
title |
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
title_short |
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
title_full |
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
title_fullStr |
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
title_full_unstemmed |
On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
title_sort |
on the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation |
publishDate |
2015 |
url |
https://epic.awi.de/id/eprint/38203/ http://www.sciencedirect.com/science/article/pii/S0021999115003083 https://hdl.handle.net/10013/epic.45625 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
EPIC3Journal of Computational Physics, 296(0), pp. 90-100, ISSN: 0021-9991 |
op_relation |
Kimmritz, M. orcid:0000-0002-6536-0221 , Danilov, S. orcid:0000-0001-8098-182X and Losch, M. orcid:0000-0002-3824-5244 (2015) On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation , Journal of Computational Physics, 296 , pp. 90-100 . doi:10.1016/j.jcp.2015.04.051 <https://doi.org/10.1016/j.jcp.2015.04.051> , hdl:10013/epic.45625 |
op_doi |
https://doi.org/10.1016/j.jcp.2015.04.051 |
container_title |
Journal of Computational Physics |
container_volume |
296 |
container_start_page |
90 |
op_container_end_page |
100 |
_version_ |
1810477148960456704 |