Mathematical modelling of aerosols evolution and sedimentation in the atmosphere of big cities

The paper presents the fundaments of numerical modelling of the dynamics of the evolution and sedimentation of clouds of dispersed particles or evaporating aerosols in turbulent atmospheric flows. A new method of modelling is described combining both deterministic approach to the description of the atmospheric flowsand stochastic approach to particlesʹ evolution modelling. The stability of the atmosphere on the top of the cities heated from below is investigated. The model takes into account the possibility of phase transition and chemical reactions on the surface of particles. The results of statistical modelling of contaminants drift in the atmosphere are appliable in making forecasts of the air pollution in the industrial zones or in accidental explosions. The worked out models can be successfully used in predicting the evolution of active aerosols in clouds causing rainfalls.