Identification Of Heat Exchange Coefficient Of The Arctic Sea Ice And Computation Of Two-Dimensional Velocity Of Flow

This paper establishes a multi-domain coupled distributed parameter system oftemperature field and the identification model of heat exchange coefficient of the Arctic snowto air, based on the characteristics of temperature distribution of the Arctic snow, sea ice andin suit observation in the Arctic. The model is about a nonlinear, non-smooth parameteridentification problem. The study of the parameter identification problems, which issupported by the Natural Science Foundation of China (Grant No. 10471014, 10671126 and40233032), can not only promote the study of optimization and parameter identification forthe distributed parameter thermodynamic model of sea ice, but also help to the study of otherparameters. The content and main results of this paper can be summarized as follows:1. Chapter 1 introduces the related knowledge about optimization control anddistributed parameter system, and reviews the main results about the sea ice given by thescholars home and abroad, and indicates the significance of the research about sea ice.Chapter 2 introduces the basic knowledge related.2. In Chapter 3, by dividing the domain and introducing energy transmission functions,a distributed parameter model is established, so that the system in each part of the domain isdifferential. The weak solution's existence and its continuous dependability in terms of heatexchange coefficient are discussed. Based on the temperature of air, snow and the thickness ofthe sea ice, the identification model is established to get the minimum of the error betweencalculated data and observed data. For the first time, by using the optimal algorithmconstructed and observed data, the optimal parameter of the heat exchange coefficient isgained and the numerical results of temperature distribution of the Arctic snow, sea ice andwater are demonstrated.3. In Chapter 4, adding the influence of the ocean tide, the model of three-dimensionaltemperature field of the Arctic sea ice is established, and the problem about two-dimensionalvelocity of flow in the horizontal direction is discussed, meanwhile a way to determine theboundary functions is found. The spatial region is divided by grid computing, so thecalculating method of velocity of flow is given. The numerical solution of the temperature iscomputed by the semi-implicit finite difference scheme.