Mathematical model of impurities in the atmospheric boundary layer and its program implementation on a multiprocessor computer system

Abstract

 The aim is to develop a mathematical model of the motion of a multicomponent air environment, taking into account the transport of contaminants (pollutants) and heat, phase transitions, as well as the influence of vegetation (forest plantations) on the distribution of pollutants in the atmosphere; construction and study of difference schemes approximating the original problem; software implementation of the developed parallel algorithms and conducting numerical experiments modeling the motion of a multicomponent air, including in relation to recreational environment of coastal systems. Since the problem of forecasting the spread of pollutants should be dealt with in real or accelerated time scales, on grids including 106-109 nodes need to develop parallel algorithms hydrodynamics problems on massively parallel systems. A new mathematical model of aerodynamic processes, taking into account the high humidity, the variability of atmospheric pressure and temperature, etc., Which is especially characteristic of coastal areas. Developed parallel algorithms for the study of these models, implemented as a set of programs.