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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fthindawi:oai:hindawi.com:10.1155/2013/760378 2023-05-15T18:16:11+02:00 Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang 2013 https://doi.org/10.1155/2013/760378 en eng Journal of Applied Mathematics https://doi.org/10.1155/2013/760378 Copyright © 2013 Liqiong Shi et al. Research Article 2013 fthindawi https://doi.org/10.1155/2013/760378 2019-05-25T23:20:01Z 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. Article in Journal/Newspaper Sea ice Hindawi Publishing Corporation Journal of Applied Mathematics 2013 1 8 |
institution |
Open Polar |
collection |
Hindawi Publishing Corporation |
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fthindawi |
language |
English |
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 in Journal/Newspaper |
author |
Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang |
spellingShingle |
Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
author_facet |
Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang |
author_sort |
Liqiong Shi |
title |
Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
title_short |
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_sort |
thermal diffusivity identification of distributed parameter systems to sea ice |
publisher |
Journal of Applied Mathematics |
publishDate |
2013 |
url |
https://doi.org/10.1155/2013/760378 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
https://doi.org/10.1155/2013/760378 |
op_rights |
Copyright © 2013 Liqiong Shi et al. |
op_doi |
https://doi.org/10.1155/2013/760378 |
container_title |
Journal of Applied Mathematics |
container_volume |
2013 |
container_start_page |
1 |
op_container_end_page |
8 |
_version_ |
1766189640531836928 |