Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice
A method of optimal control is presented as a numerical tool for solving the sea ice heat transfer problem governed by a parabolic partial differential equation. Taken the deviation between the calculated ice temperature and the measurements as the performance criterion, an optimal control model of...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/760378 |
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| author | Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang |
| author_facet | Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang |
| author_sort | Liqiong Shi |
| collection | DOAJ |
| description | A method of optimal control is presented as a numerical tool for solving the sea ice heat transfer problem governed by a parabolic partial differential equation. Taken the deviation between the calculated ice temperature and the measurements as the performance criterion, an optimal control model of distributed parameter systems with specific constraints of thermal properties of sea ice was proposed to determine the thermal diffusivity of sea ice. Based on sea ice physical processes, the parameterization of the thermal diffusivity was derived through field data. The simulation results illustrated that the identified parameterization of the thermal diffusivity is reasonably effective in sea ice thermodynamics. The direct relation between the thermal diffusivity of sea ice and ice porosity is physically significant and can considerably reduce the computational errors. The successful application of this method also explained that the optimal control model of distributed parameter systems in conjunction with the engineering background has great potential in dealing with practical problems. |
| format | Article |
| id | doaj-art-45d97c8064d8496dabd6dcf820016daf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-45d97c8064d8496dabd6dcf820016daf2025-02-03T01:02:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/760378760378Thermal Diffusivity Identification of Distributed Parameter Systems to Sea IceLiqiong Shi0Zhijun Li1Enmin Feng2Yila Bai3Yu Yang4State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaMathematical and Physics Department, Bohai University, Jinzhou 121000, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaA method of optimal control is presented as a numerical tool for solving the sea ice heat transfer problem governed by a parabolic partial differential equation. Taken the deviation between the calculated ice temperature and the measurements as the performance criterion, an optimal control model of distributed parameter systems with specific constraints of thermal properties of sea ice was proposed to determine the thermal diffusivity of sea ice. Based on sea ice physical processes, the parameterization of the thermal diffusivity was derived through field data. The simulation results illustrated that the identified parameterization of the thermal diffusivity is reasonably effective in sea ice thermodynamics. The direct relation between the thermal diffusivity of sea ice and ice porosity is physically significant and can considerably reduce the computational errors. The successful application of this method also explained that the optimal control model of distributed parameter systems in conjunction with the engineering background has great potential in dealing with practical problems.http://dx.doi.org/10.1155/2013/760378 |
| spellingShingle | Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice Journal of Applied Mathematics |
| title | Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
| title_full | Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
| title_fullStr | Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
| title_full_unstemmed | Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
| title_short | Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
| title_sort | thermal diffusivity identification of distributed parameter systems to sea ice |
| url | http://dx.doi.org/10.1155/2013/760378 |
| work_keys_str_mv | AT liqiongshi thermaldiffusivityidentificationofdistributedparametersystemstoseaice AT zhijunli thermaldiffusivityidentificationofdistributedparametersystemstoseaice AT enminfeng thermaldiffusivityidentificationofdistributedparametersystemstoseaice AT yilabai thermaldiffusivityidentificationofdistributedparametersystemstoseaice AT yuyang thermaldiffusivityidentificationofdistributedparametersystemstoseaice |