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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2012
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Online Access: | http://projecteuclid.org/euclid.jam/1350488747 https://doi.org/10.1155/2012/532870 |
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ftculeuclid:oai:CULeuclid:euclid.jam/1350488747 2023-05-15T18:16:11+02:00 Simulation and Domain Identification of Sea Ice Thermodynamic System Tan, Bing Lu, Peng Li, Zhijun Feng, Enmin Wang, Juan 2012 application/pdf http://projecteuclid.org/euclid.jam/1350488747 https://doi.org/10.1155/2012/532870 en eng Hindawi Publishing Corporation 1110-757X 1687-0042 Copyright 2012 Hindawi Publishing Corporation Text 2012 ftculeuclid https://doi.org/10.1155/2012/532870 2018-10-06T12:39:54Z 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. Text Sea ice Project Euclid (Cornell University Library) Journal of Applied Mathematics 2012 1 16 |
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Open Polar |
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Project Euclid (Cornell University Library) |
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ftculeuclid |
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 |
Text |
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 |
Hindawi Publishing Corporation |
publishDate |
2012 |
url |
http://projecteuclid.org/euclid.jam/1350488747 https://doi.org/10.1155/2012/532870 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
1110-757X 1687-0042 |
op_rights |
Copyright 2012 Hindawi Publishing Corporation |
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_ |
1766189639812513792 |