Numerical Simulation And Parameter Identification Of The Three Dimension Temperature Field Of Arctic Sea Ice

This paper studies a kind of nonhnear multi-domain coupled distributed parameter system of Arctic sea ice and sea water temperature field and establishes identification model of two parameters based on the characteristics of temperature distribution and observation data. This work is supported by National Science Foundation of China (No.10671126, No.10471014, No.40233032, No.2003DEB5J057). In this paper, the effects of atmosphere, sea ice, sea water and tide have been considered. Then, according to the PDE theory, the existence of weak solution, the continuous dependability of the system's weak solution in terms of the parameters and the identifiability of the system have been discussed. The simulation of tide, the process of the observation data and the selection method of the boundary were also analyzing. Based on above preparation and the optimal control theory; we establish the optimal algorithm for the identification model, simulated the multi-domain system and got numerical results of temperature distribution.In the first chapter we retrospect the development of the distributed parameter system, then introduce Arctic sea ice and the achievements of some researchers in this specifical domain. The next chapter gives some foundation about the distributed parameter system, including the basic knowledge on the second order parabohc partial differential equation and some properties about distributed parameter system. Most of the research achievements of this paper are in the third and the forth paragraph which can be summarized as:1. The paper established a kind of parabolic distributed parameter system on the coupled system of Arctic sea ice and the optimal control model about some identification parameters, furthermore discussed the existence of the weak solution of this nonlinear dynamic system, the continuous dependability of the system's weak solution in terms of the identification parameters and the identifiability of the system.2. The paper solved some problems related to the three dimension temperature field, such as the process of the observation data, the property of sea tide, the boundary of the system, and most important of all, the way to improve the calculation speed.