Identification Of Thermodynamic Parameters Of Arctic Snow In The Distributed Parameter System And The Calculation Of Velocity Of Tidal Motion

This paper studies the multi-domain coupled distributed parameter system of temperaturefield and establishes identification model of the thermodynamic parameters of snow based oncharacteristics of temperature distribution in the Arctic snow, sea ice, water and the acquireddata in the Arctic. According to the optimal control theory, the existence and the continuousdependability of the weak solution in terms of the parameters have been discussed.Meanwhile the model of three-dimensional temperature field of Arcticsea ice is established,and the two-dimensional velocity of tidal motion in the horizontal direction is considered.This work can not only accelerate the research parabolic distributed system sea icethermodynamic model, but also provide basic theoretical reference for numerical simulation.Therefore, this work has important theoretical meaning and practical value.Chapter 1 reviews the research of the parameter identification and optimal control ofdistributed parameter system, and includes many achievements by scholars home and abroad.Chapter 2 mainly discusses the basic acknowledge of Sobolev space and Banach spacedifferential, and also discusses basic theory of parameter identification and optimal control ofparabolic distributed parameter system. Chapter 3 and 4 present the main results of thisdissertation, which can be summarized as follows:(1) According to the optimal control theory, the existence and the continuousdependability of the weak solution in terms of the parameters have been discussed.Furthermore, the optimal algorithm for the identification model is established. By using thisoptimal algorithm, the optimal parameters of Arctic snow are established and the numericalresults of temperature distribution of Arctic snow, sea ice and water are demonstrated.(2) The model of three-dimensional temperature field of Arctic sea ice is established, andthe two-dimensional velocity of tidal motion in the horizontal direction is considered,meanwhile a way to determine the boundary is found. The grid computing method of thespatial region is given, so the velocity of tidal motion is established. The numerical solutionof the temperature is calculated by the semi-implicit finite difference scheme.