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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/532870 |
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| author | Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang |
| author_facet | Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang |
| author_sort | Bing Tan |
| collection | DOAJ |
| 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 |
| id | doaj-art-40ff527d6b4b49cf9501a013504e1388 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-40ff527d6b4b49cf9501a013504e13882025-02-03T05:57:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/532870532870Simulation and Domain Identification of Sea Ice Thermodynamic SystemBing Tan0Peng Lu1Zhijun Li2Enmin Feng3Juan Wang4State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Liaoning, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian 116024, ChinaBased 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.http://dx.doi.org/10.1155/2012/532870 |
| spellingShingle | Bing Tan Peng Lu Zhijun Li Enmin Feng Juan Wang Simulation and Domain Identification of Sea Ice Thermodynamic System Journal of Applied Mathematics |
| title | 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_short | Simulation and Domain Identification of Sea Ice Thermodynamic System |
| title_sort | simulation and domain identification of sea ice thermodynamic system |
| url | http://dx.doi.org/10.1155/2012/532870 |
| work_keys_str_mv | AT bingtan simulationanddomainidentificationofseaicethermodynamicsystem AT penglu simulationanddomainidentificationofseaicethermodynamicsystem AT zhijunli simulationanddomainidentificationofseaicethermodynamicsystem AT enminfeng simulationanddomainidentificationofseaicethermodynamicsystem AT juanwang simulationanddomainidentificationofseaicethermodynamicsystem |