The main mathematical approaches for modelling impurity scattering processes in atmospheric air

Review Paper

Abstract

Mathematical modeling allows, from a theoretical point of view, to explain the quantitative and qualitative characteristics of the state of atmospheric air, solve diagnostic and prognostic problems, and fill in the missing information about the nature of the scattering of impurities in atmospheric air. During the study of atmospheric processes, various approaches were formed in their assessment and modeling. The purpose of this work is to review and analyze existing approaches to mathematical modeling of the processes of scattering of impurities in the atmosphere. To achieve this goal, the following tasks were formulated: identification of classification criteria for the formation of classifications of mathematical models; analysis of existing approaches to mathematical modeling, including using classification criteria. As a result of the conducted research, the classification of existing mathematical models was carried out, conclusions were drawn about the possibilities of using mathematical models in assessing scattering processes for different territories. The use of models based on the analytical solution of the diffusion equation and Gaussian models is acceptable only for small areas. Within the framework of characterizing the state of atmospheric air in large areas using mathematical modeling methods, gradient transport models are recommended, taking into account the chemical activity of substances adapted to determine the processes of impurity transfer over territories of different areas.