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Journal of Applied Mathematics
Volume 2013, Article ID 760378, 8 pages
http://dx.doi.org/10.1155/2013/760378
Research Article

Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice

1State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
3Mathematical and Physics Department, Bohai University, Jinzhou 121000, China

Received 24 January 2013; Accepted 7 July 2013

Academic Editor: J. Liang

Copyright © 2013 Liqiong Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.