Mathematical Modeling of the Dispersion of Harmful Substances Released into the Atmosphere in Complex Urban Environments
DOI:
https://doi.org/10.71310/pcam.1_71.2026.01Keywords:
mathematical model, advection-diffusion equation, atmospheric pollution, turbulent diffusion, gravitational settling, urban environment, numerical methods, traffic congestionAbstract
This study addresses the mathematical modeling of the dispersion process of harmful substances released into the atmosphere in complex urban environments. A mathematical model has been developed to determine the spatial-temporal distribution of pollutant concentrations based on the advection-diffusion equation. The model accounts for the transport of substances by wind flow, turbulent diffusion, gravitational settling, and absorption by surfaces. Mathematical expressions for point, line, and area pollution sources have been presented. Parameters accounting for traffic congestion and diurnal variations have been introduced. A numerical solution algorithm based on the finite difference method has been developed. Computational experiments have revealed the patterns of harmful substance dispersion in urban environments.
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