EQUATIONS OF THERMOHYDRODYNAMICS OF A QUASI-GEOSTROPHIC AND HYDROSTATIC ATMOSPHERE IN THE PROBLEMS OF REGIONAL ECOLOGY

Abstract

Sciences», Nalchik, e-mail: iipru@rambler.ru This article considers the main directions of the analysis of the ecological characteristics of the atmosphere of local and global scales. Based on the analysis of the results of computational experiments to study the dynamics of large-scale atmospheric processes in the framework of the equations of a quasi-geostrophic and hydrostatic model of the atmosphere, the possibility of their application to solve problems of regional ecology is shown. Ecological problems on a regional scale are considered, where mathematical models of the dynamics of atmospheric processes in quasi-geostrophic and hydrostatic approximations are used to determine flow fields and turbulent characteristics of the atmosphere. The boundary conditions are given in the first approximation on the earth’s surface and on the upper boundary of the troposphere for the vertical velocity component. The mathematical formulation of the problem of the transfer of environmentally harmful impurities in the atmosphere of the region in the form of three-phase aerosols is presented, under the assumption that the dispersed component of the aerosols is liquid droplets and solid particles of the polydisperse spectrum in size, particle size. The mathematical formulation of the problem of a joint short-term weather forecast and environmental forecast in the region is proposed. The methodological basis for the numerical implementation of the proposed approach to the formulation of problems of forecasting the environmental situation in the region is based on various versions of the original complex problem in the form of a sequence of simple problems using the so-called methods of splitting complex problems. To solve the main problems of regional ecology, the Galerkin spectral computational method is proposed also, which allow obtaining approximate solutions for a wide class of problems under study using fewer RAM and in fewer steps without