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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ftdoajarticles:oai:doaj.org/article:45d97c8064d8496dabd6dcf820016daf 2024-09-15T18:34:09+00:00 Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang 2013-01-01T00:00:00Z https://doi.org/10.1155/2013/760378 https://doaj.org/article/45d97c8064d8496dabd6dcf820016daf EN eng Wiley http://dx.doi.org/10.1155/2013/760378 https://doaj.org/toc/1110-757X https://doaj.org/toc/1687-0042 1110-757X 1687-0042 doi:10.1155/2013/760378 https://doaj.org/article/45d97c8064d8496dabd6dcf820016daf Journal of Applied Mathematics, Vol 2013 (2013) Mathematics QA1-939 article 2013 ftdoajarticles https://doi.org/10.1155/2013/760378 2024-08-05T17:48:42Z 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 Directory of Open Access Journals: DOAJ Articles Journal of Applied Mathematics 2013 1 8 |
institution |
Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Mathematics QA1-939 |
spellingShingle |
Mathematics QA1-939 Liqiong Shi Zhijun Li Enmin Feng Yila Bai Yu Yang Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice |
topic_facet |
Mathematics QA1-939 |
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 |
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 |
Wiley |
publishDate |
2013 |
url |
https://doi.org/10.1155/2013/760378 https://doaj.org/article/45d97c8064d8496dabd6dcf820016daf |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Journal of Applied Mathematics, Vol 2013 (2013) |
op_relation |
http://dx.doi.org/10.1155/2013/760378 https://doaj.org/toc/1110-757X https://doaj.org/toc/1687-0042 1110-757X 1687-0042 doi:10.1155/2013/760378 https://doaj.org/article/45d97c8064d8496dabd6dcf820016daf |
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_ |
1810475879348830208 |