Simulation and Domain Identification of Sea Ice Thermodynamic System
Based on the measured data and characteristics of sea ice temperature distribution in space and time, this study is intended to consider a parabolic partial differential equation of the thermodynamic field of sea ice (coupled by snow, ice, and sea water layers) with a time‐dependent domain and its p...
Published in: | Journal of Applied Mathematics |
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crwiley:10.1155/2012/532870 2024-06-23T07:56:38+00:00 Simulation and Domain Identification of Sea Ice Thermodynamic System Tan, Bing Lu, Peng Li, Zhijun Feng, Enmin Wang, Juan Troesch, Armin National Natural Science Foundation of China 2012 http://dx.doi.org/10.1155/2012/532870 http://downloads.hindawi.com/journals/jam/2012/532870.pdf http://downloads.hindawi.com/journals/jam/2012/532870.xml https://onlinelibrary.wiley.com/doi/pdf/10.1155/2012/532870 en eng Wiley http://creativecommons.org/licenses/by/3.0/ Journal of Applied Mathematics volume 2012, issue 1 ISSN 1110-757X 1687-0042 journal-article 2012 crwiley https://doi.org/10.1155/2012/532870 2024-06-13T04:21:52Z Based on the measured data and characteristics of sea ice temperature distribution in space and time, this study is intended to consider a parabolic partial differential equation of the thermodynamic field of sea ice (coupled by snow, ice, and sea water layers) with a time‐dependent domain and its parameter identification problem. An optimal model with state constraints is presented with the thicknesses of snow and sea ice as parametric variables and the deviation between the calculated and measured sea ice temperatures as the performance criterion. The unique existence of the weak solution of the thermodynamic system is proved. The properties of the identification problem and the existence of the optimal parameter are discussed, and the one‐order necessary condition is derived. Finally, based on the nonoverlapping domain decomposition method and semi‐implicit difference scheme, an optimization algorithm is proposed for the numerical simulation. Results show that the simulated temperature of sea ice fit well with the measured data, and the better fit is corresponding to the deeper sea ice. Article in Journal/Newspaper Sea ice Wiley Online Library Journal of Applied Mathematics 2012 1 |
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Wiley Online Library |
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English |
description |
Based on the measured data and characteristics of sea ice temperature distribution in space and time, this study is intended to consider a parabolic partial differential equation of the thermodynamic field of sea ice (coupled by snow, ice, and sea water layers) with a time‐dependent domain and its parameter identification problem. An optimal model with state constraints is presented with the thicknesses of snow and sea ice as parametric variables and the deviation between the calculated and measured sea ice temperatures as the performance criterion. The unique existence of the weak solution of the thermodynamic system is proved. The properties of the identification problem and the existence of the optimal parameter are discussed, and the one‐order necessary condition is derived. Finally, based on the nonoverlapping domain decomposition method and semi‐implicit difference scheme, an optimization algorithm is proposed for the numerical simulation. Results show that the simulated temperature of sea ice fit well with the measured data, and the better fit is corresponding to the deeper sea ice. |
author2 |
Troesch, Armin National Natural Science Foundation of China |
format |
Article in Journal/Newspaper |
author |
Tan, Bing Lu, Peng Li, Zhijun Feng, Enmin Wang, Juan |
spellingShingle |
Tan, Bing Lu, Peng Li, Zhijun Feng, Enmin Wang, Juan Simulation and Domain Identification of Sea Ice Thermodynamic System |
author_facet |
Tan, Bing Lu, Peng Li, Zhijun Feng, Enmin Wang, Juan |
author_sort |
Tan, Bing |
title |
Simulation and Domain Identification of Sea Ice Thermodynamic System |
title_short |
Simulation and Domain Identification of Sea Ice Thermodynamic System |
title_full |
Simulation and Domain Identification of Sea Ice Thermodynamic System |
title_fullStr |
Simulation and Domain Identification of Sea Ice Thermodynamic System |
title_full_unstemmed |
Simulation and Domain Identification of Sea Ice Thermodynamic System |
title_sort |
simulation and domain identification of sea ice thermodynamic system |
publisher |
Wiley |
publishDate |
2012 |
url |
http://dx.doi.org/10.1155/2012/532870 http://downloads.hindawi.com/journals/jam/2012/532870.pdf http://downloads.hindawi.com/journals/jam/2012/532870.xml https://onlinelibrary.wiley.com/doi/pdf/10.1155/2012/532870 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Journal of Applied Mathematics volume 2012, issue 1 ISSN 1110-757X 1687-0042 |
op_rights |
http://creativecommons.org/licenses/by/3.0/ |
op_doi |
https://doi.org/10.1155/2012/532870 |
container_title |
Journal of Applied Mathematics |
container_volume |
2012 |
container_issue |
1 |
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1802649889654439936 |