Development of a mathematical model and an efficient computational algorithm for predicting atmospheric pollution in industrial regions

The article deals with numerical modeling of the process of transfer and diffusion of air pollutants in the boundary layer of the atmosphere. A mathematical model was developed for the distribution of industrial emissions in the atmosphere, taking into account two essential parameters-the speed of motion of finely dispersed substances in the atmosphere and the orography of the terrain of the area under consideration. The model is described by multidimensional partial differential equations with appropriate initial and boundary conditions. The basic laws of hydrothermodynamics were used in deriving the model. To develop a numerical algorithm for solving the problem, methods of splitting by physical processes (transfer, diffusion, and absorption) and an implicit finite-difference scheme of the second-order approximation in space and time variables, were used.

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