Рақамли технологияларнинг назарий ва амалий масалалари Volume 8 Issue 2 (2025) · pp. 154-160
Mathematical Modeling of Harmful Substance Dispersion in the Atmosphere Taking into Account Terrain Relief
Эшбоева, Н.Ф.
Abstract
The article examines the mathematical modeling of harmful substance dispersion in the atmosphere based on the advection–diffusion equation, taking into account the terrain relief. Key factors such as the movement of air masses (including geostrophic and orographic wind components), turbulent diffusion, emission sources, and absorption processes are considered. Special attention is given to the influence of terrain on the local distribution of pollutants, which enhances the realism of the model for mountainous and rugged areas. The finite difference method with an Upwind scheme is employed to ensure numerical stability. The obtained results can be applied to environmental monitoring and forecasting in complex topographic conditions, including the mountainous regions of Uzbekistan. The necessity of integrating the model with meteorological data to improve calculation accuracy is emphasized.
уравнение адвекции-диффузиитурбулентностьрельефгеострофический и орографический вектор ветраadvection-diffusion equationturbulenceterrain reliefgeostrophic and orographic wind vector
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