Mathematical Models for Visualization of the Process of Dispersion of Active Aerosols in the Atmosphere

Abstract

One of the actual issues in atmospheric dispersion modeling is the development of active aerosols propagation models. Thus, this work aimed to develop a computer model for estimating and forecasting the spatial-temporal evolution of active aerosol particles emission in the atmospheric boundary layer. The model is traditionally based on the semi-empirical equation of substance transfer and diffusion in the atmosphere coupled with initial and boundary conditions. We used well-known methods of computational mathematics in order to solve the obtained differential equations, such as finite differences, fractional steps and Thomas algorithm. The stated problem was approximated by an implicit difference scheme. Based on the proposed model and algorithm, there was developed software tool intended for predicting the levels of air pollution over industrial regions. As well as to optimal location of newly constructed facilities, taking into account local weather and climatic conditions in order to minimize negative environmental impact.