Skob Y. Mathematical threedimensional models and methods of gasair mixtures motion analysis in problems of atmosphere ecology and industrial aerodynamics.

The dissertation is devoted to the improvement of methods and means of mathematical and computer modelling of the motion of multicomponent gas mixtures in the surface layer of the atmosphere, taking into account the complex terrain, chemical interaction of admixtures with air oxygen, and toxic nature of some gaseous impurities in order to find the means to eliminate or mitigate the consequences of such negative effects. The dissertation solves the actual scientific and applied problem of development of mathematical models, methodology and computer means for the analysis of movement of multicomponent gas mixtures in an arrangement of technogenic objects working in the conditions of formation of factors of influence of air disturbances on environment, and search of rational designs of protective means for elimination or mitigation of the exposure effects. The dissertation is aimed at solving the existing persistent contradiction, which is the inconsistency of the growing requirements for the efficiency of industrial aerodynamic systems and the reliability of the protective infrastructure facilities in the widespread use of computational experiment, on the one hand, and the current level of methodological development including models, methods and software tools for computer implementation of the system model of decision making support based on numerical analysis of air state variables of technogenic objects to ensure safety requirements, on the other hand. The main purpose of the work is to systematically improve and increase the efficiency of mathematical models, methodology and software of computer implementation of the system model of decision making support for analysis of multicomponent gas mixture in the location of technogenic objects during the formation of factors of influence of air perturbations on the environment, and search the means to eliminate or mitigate the consequences of this effect. The object of research is the processes of analysis and forecast of the air environment state parameters of technogenic objects in the conditions of formation of factors of influence of disturbances on the environment. The subject of the work contains three-dimensional mathematical models and computational methods of analysis of the actual physical processes during the movement of a multicomponent gas mixture in the accidentally disturbed atmosphere of the industrial enterprise. The theoretical basis of the work includes methods of mathematical modeling, computational methods of mathematical physics, computational mathematics, problem analysis, theories of risk assessment and decision making. The principles of the theory of computer modeling systems were used to build a software tool for computer implementation of a system mathematical model. On the basis of the conducted theoretical and experimental researches a new solution of an important scientific and applied problem is received, and a new scientific direction is formed and developed – a generalization and development of theoretical bases of mathematical and computer modeling of movement of dangerous gas-air mixtures in and around technogenic objects. It is different from existing solutions by a more complete reflection of heat and mass transfer processes, a development of effective computational methods designed to solve non-stationary initial-boundary and non-local problems, based on modern technical and information tools.