Mathematical Modeling of Spatial-Temporal Distribution of Pollutants in the Atmosphere

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N. Ravshanov
I. Nabieva
O. Jurabaeva

Abstract

This article improves the mathematical model of the process of pollutant distribution in the atmospheric air taking into account their physical and mechanical properties - particle diameter, diffusion coefficient, temperature and absorption coefficient. The influence of various meteorological conditions, wind speed, turbulent diffusion and atmospheric stability on the spatio-temporal distribution of pollutants is analyzed. Mathematical models and numerical algorithms allow monitoring and forecasting the concentration of pollutants in the atmosphere, ensuring environmental safety of the region under consideration.

Article Details

How to Cite
Ravshanov, N., Nabieva, I., & Jurabaeva, O. (2025). Mathematical Modeling of Spatial-Temporal Distribution of Pollutants in the Atmosphere. INTERNATIONAL JOURNAL OF THEORETICAL AND APPLIED ISSUES OF DIGITAL TECHNOLOGIES, 8(3), 63–69. https://doi.org/10.62132/ijdt.v8i3.287
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References

Peters, L. K. "Modeling chemical transport and dispersion in the atmosphere." Atmospheric Envi-ronment, 1995, Vol. 29, Issue 16, pp. 2035-2046. DOI: 10.1016/1352-2310(94)00341-9.

Lin, J. T. "Modeling chemical transport in the atmosphere." Atmospheric Environment, 2003, Vol. 37, Issue 28, pp. 3917-3927. DOI: 10.1016/S1352-2310(03)00485-8.

McRae, G. J. "Modeling chemical transport in the atmosphere." Environmental Science & Technol-ogy, 1982, Vol. 16, Issue 10, pp. 685-692. DOI: 10.1021/es00104a006.

https://www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide

https://climate.copernicus.eu/climate-indicators/greenhouse-gas-concentrations

Haugen, D. A. "Gaussian modeling of industrial plume dispersion." Journal of Air Pollution Control Association, 1971, Vol. 21, Issue 6, pp. 351-357. DOI: 10.1080/00022470.1971.10469544.

Benkley, C. W. "Gaussian modeling of short-range industrial emissions." Journal of Applied Meteor-ology, 1977, Vol. 16, Issue 6, pp. 621-628. DOI: 10.1175/1520-0450(1977)016<0621:GMOSRI>2.0.CO;2.

Mylne, K. R. "Long-range transport modeling of atmospheric pollutants." Atmospheric Environ-ment, 1992, Vol. 26, Issue 8, pp. 1425-1436. DOI: 10.1016/0960-1686(92)90128-8.

Thomson, D. J. "Lagrangian modeling of long-range atmospheric dispersion." Atmospheric Envi-ronment, 1987, Vol. 21, Issue 5, pp. 1053-1064. DOI: 10.1016/0004-6981(87)90230-8.

Grell, G. A. "Modeling chemical dispersion in the atmosphere." Atmospheric Environment, 1993, Vol. 27, Issue 16, pp. 2575-2587. DOI: 10.1016/0960-1686(93)90017-6.

Hess, S. L. "Turbulent dispersion in the atmospheric boundary layer." Journal of Geophysical Re-search, 1972, Vol. 77, Issue 18, pp. 3235-3244. DOI: 10.1029/JC077i018p03235.

Obukhov, A. M. "Modeling turbulent dispersion in the atmosphere." Izvestiya Akademii Nauk SSSR, Seriya Geograficheskaya, 1970, Vol. 34, Issue 5, pp. 503-514. DOI: 10.1016/0004-6981(71)90081-1 (translated version reference).

Mason, P. J. "Turbulent dispersion in the atmospheric boundary layer." Quarterly Journal of the Royal Meteorological Society, 1989, Vol. 115, Issue 487, pp. 573-591. DOI: 10.1002/qj.49711548706.

Ravshanov N., Nabiyeva I. Modelirovaniye transporta toksichnykh zagryaznyayushchikh veshchestv v atmosfere // Sbornik tezisov pervoy mezhdunarodnoy nauchno-tekhnicheskoy konferentsii «Sovremennyye problemy fiziki, energetiki i teplotekhniki» Dekabr' 5, 2024. – C. 251-253.

Ravshanov N., Nabiyeva I.S. Matematicheskoye modelirovaniye protsessa rasprostraneniya vrednykh veshchestv v atmosfere s uchetom temperatury, fizicheskikh i khimicheskikh svoystv // Mezhdunarodnyy zhurnal teoreticheskikh i prikladnykh voprosov tsifrovykh tekhnologiy. – 2024. – № 7(4) – S. 27-32.

Nabieva I.S. 2025. Numerical modeling of the transport and diffusion of pollutant particles taking into account airflow characteristics and temperature. Problems of Computational and Applied Mathematics. 1(63):27-40.

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