MATHEMATICAL MODELLING AND NUMERICAL SIMULATION OF POLLUTION TRANSPORT IN THE ATMOSPHERIC BOUNDARY LAYER

Abstract. Air pollution is one the serious problems in almost all countries, especially those with high population density and large industrial centers. We create a mathematical model based on stationary Navier-Stokes equations for media ow and diusion-convection equation describing pollution transport, and solve the model using nite element methods (FEMs). The FEMs allows us to use dierent terrain shapes and examine the terrain in uence. An essential part of the work is numerical analysis, which examines the properties of algorithms with respect to numerical pa-rameters, and analyzes selected cases of media ow in the atmospheric boundary layer in the case of instant, steady or periodically interrupted sources of pollution. The most signicant results are obtained in direct application to real problems like the transport of pollution caused by a stack with time dependent intensity or the model of an ecological accident. Key words. pollution transport, diusion-convection equation, Navier-Stokes equation, nite element method, method of characteristics AMS subject classications. 76D05, 76M10, 65M25, 65N30 1. Introduction. W