AN ALGORITHM FOR THE NUMERICAL SOLUTION OF THE PROBLEM OF DISPERSION OF GAS MIXTURES AND HARMFUL SUBSTANCES IN THE ATMOSPHERE USING HIGH-ORDER APPROXIMATION
Keywords:
Matenatik model, sonli algoritm, gazli aralashma, approksimatsiya.Abstract
This article examines a mathematical model of the process of transfer and diffusion of gaseous impurities and harmful small-sized aerosols in the atmosphere. The developed mathematical model takes into account the operating modes of gas mixtures and sources of emissions of harmful substances, as well as their influence on the process under study. A numerical algorithm has been developed to solve the problem using an implicit finite difference scheme with high-order approximation of time and space variables.
References
M.Y. Jin, L.Y. Zhang, Zh.R. Peng, H.D. He, P. Kumar, J. Gallagher. The impact of dynamic traffic and wind conditions on green infrastructure performance to improve local air quality. Science of The Total Environment, Volume 917, 2024, 170211. https://doi.org/10.1016/j.scitotenv.2024.170211
C. Cai, T. Ming, W. Fang, R. de Richter, Ch. Peng. The effect of turbulence induced by different kinds of moving vehicles in street canyons. Sustainable Cities and Society. Volume 54, 2020, 102015. https://doi.org/10.1016/j.scs.2020.102015
M.N. Smirnova, V.F. Nikitin, D.A. Pestov, Z. Zhu. Mathematical modeling of air pollution in city tunnels and evaluating mitigation strategies. Transportation Research Interdisciplinary Perspectives. Volume 4. 2020, 100086. https://doi.org/10.1016/j.trip.2019.100086
B.B. Chattopadhyay and Sh.S. Deo. Mathematical Model in Air Pollution with Area Source (July 16, 2020). International Conference on Recent Trends in Artificial Intelligence, Iot, Smart Cities & Application (ICAISC 2020), Jharkhand, India, Available at SSRN: https://ssrn.com/abstract=3653343 or http://dx.doi.org/10.2139/ssrn.3653343
M. Madiyarov, N. Temirbekov, N. Alimbekova, Y. Malgazhdarov, Y. Yergaliyev. A Combined Approach for Predicting the Distribution of Harmful Substances in the Atmosphere Based on Parameter Estimation and Machine Learning Algorithms. Computation 2023, 11, 249. https://doi.org/10.3390/computation11120249
D. Turimov, A. Khaldjigitov, U. Djumayozov, W. Kim. Formulation and Numerical Solution of Plane Problems of the Theory of Elasticity in Strains. Mathematics 2024, 12(1), 71; https://doi.org/10.3390/math12010071
N. Ravshanov, N. Narzullayeva, N. Tashtemirova, F. Muradov, Y. Islamov. Software and instrumental complex for decision-making on environmental protection from technogenic factors. AIP Conf. Proc. 2467, 060003 (2022). https://doi.org/10.1063/5.0094971
F. Muradov and N. Tashtemirova, "Numerical Algorithm for Calculation the Density of Harmful Substances in the Atmosphere," 2021 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2021, pp. 01-03, doi: 10.1109/ICISCT52966.2021.9670278.
N. Ravshanov, N. Narzullayeva and F. Muradov, "Model and Numerical Algorithm for Monitoring and Forecasting Transfer and Diffusion of Active Aerosol Particles in the Atmosphere," 2021 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2021, pp. 01-04, doi: 10.1109/ICISCT52966.2021.9670344.
D. Sharipov, A. Abdukadirov, A. Khasanov and O. Khafizov, "Mathematical model for optimal siting of the industrial plants," 2020 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2020, pp. 1-3, doi: 10.1109/ICISCT50599.2020.9351476.
D. Sharipov, "Mathematical Models for Visualization of the Process of Dispersion of Active Aerosols in the Atmosphere," 2022 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2022, pp. 1-5, doi: 10.1109/ICISCT55600.2022.10146742.
D. Sharipov and D. Akhmedov, "Aggregation of Meteorological and Spatial Data for Air Pollution Modeling," 2021 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2021, pp. 01-04, doi: 10.1109/ICISCT52966.2021.9670325.
N. Ravshanov, D. Akhmedov, G. Roziyeva; GIS based estimation of the vertical wind profile effect on air pollutants disperse in the atmosphere. AIP Conf. Proc. 8 June 2023; 2781 (1): 020078. https://doi.org/10.1063/5.0144801
N. Ravshanov et al 2020 IOP Conf. Ser.: Mater. Sci. Eng. 862 062017. DOI: 10.1088/1757-899X/862/6/062017
N. Ravshanov, Z. Abdullaev, T. Shafiyev. Mathematical model and numerical algortm to study the process of aerosol particles distribution in the atmosphere // International Conference on Information Science and Communications Technologies: Applications, Trends and Opportunities, ICISCT 2019. 2019. P. 1–7.
Additional Files
Published
How to Cite
License
Copyright (c) 2024 Farrux Muradov, Olimjon Kucharov, Nigora Narzullayeva, Nodira Eshboyeva

This work is licensed under a Creative Commons Attribution 4.0 International License.