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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Bibliographic Details
Published in:Journal of Computational Physics
Main Authors: Kimmritz, Madlen, Danilov, Sergey, Losch, Martin
Format: Article in Journal/Newspaper
Language:unknown
Published: 2015
Subjects:
Sea ice
Online Access:https://epic.awi.de/id/eprint/38203/
http://www.sciencedirect.com/science/article/pii/S0021999115003083
https://hdl.handle.net/10013/epic.45625
id ftawi:oai:epic.awi.de:38203
record_format openpolar
spelling 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
institution Open Polar
collection Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center)
op_collection_id ftawi
language 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
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