Development of a mathematical model for integrated control and analysis of the dispersion dynamics of active aerosol particles in the atmosphere

This article focuses on developing a mathematical model intended for monitoring, forecasting, and guiding management decisions related to environmental protection in the surface layer of the atmosphere. The article presents an effective numerical algorithm that accounts for the dynamics of active aerosol emissions from industrial facilities. These emissions interact with moisture and undergo chemical reactions, altering their state and shape based on their physical, mechanical, and chemical properties. The author derives functional relationships to calculate key parameters of the process, considering the velocities of air masses in the surface layer. The modeling problem is formulated as a multidimensional system of partial differential equations, for which a high-accuracy finite-difference algorithm in both time and space variables was developed.