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...
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fthindawi:oai:hindawi.com:10.1155/2012/532870 2023-05-15T18:16:11+02:00 Simulation and Domain Identification of Sea Ice Thermodynamic System Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang 2012 https://doi.org/10.1155/2012/532870 en eng Journal of Applied Mathematics https://doi.org/10.1155/2012/532870 Copyright © 2012 Bing Tan et al. Research Article 2012 fthindawi https://doi.org/10.1155/2012/532870 2019-05-25T23:48:12Z 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 Hindawi Publishing Corporation Journal of Applied Mathematics 2012 1 16 |
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Open Polar |
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Hindawi Publishing Corporation |
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fthindawi |
language |
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. |
format |
Article in Journal/Newspaper |
author |
Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang |
spellingShingle |
Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang Simulation and Domain Identification of Sea Ice Thermodynamic System |
author_facet |
Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang |
author_sort |
Bing Tan |
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 |
Journal of Applied Mathematics |
publishDate |
2012 |
url |
https://doi.org/10.1155/2012/532870 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
https://doi.org/10.1155/2012/532870 |
op_rights |
Copyright © 2012 Bing Tan et al. |
op_doi |
https://doi.org/10.1155/2012/532870 |
container_title |
Journal of Applied Mathematics |
container_volume |
2012 |
container_start_page |
1 |
op_container_end_page |
16 |
_version_ |
1766189640718483456 |