Air Quality Dispersion Modeling in Spherical Coordinates

Abstract

The paper deals with the development of a mathematical model of aerosol fine particles transport and diffusion in the atmosphere in spherical coordinates. This approach allows us to shorten the calculation time and increase the order of approximation with respect to spatial variables. For the numerical solution of the problem, a computational algorithm based on the “straight-line method” was proposed. This algorithm allows us to reduce the multidimensional problem in the form of a partial differential equation to an ordinary differential equation with the corresponding initial and boundary conditions. Based on the developed mathematical support, the main parameters that significantly influenced the process of transporting aerosol fine particles, as well as the rate of their deposition, were investigated. The obtained results can be successfully used as software in the optimal allocation of newly designed facilities in industrial regions, as well as to assess the scale and geography of emissions spread to the environment, to estimate the concentration of harmful substances in the atmosphere and on the underlying surface with subsequent decision making to minimize ecological risks.