The subject of this article is modeling the process of propagation of gas mixtures and aerosol particles in the surface layer of the atmosphere. A model of the process of propagation of industrial emissions in the atmosphere has been developed taking into account the settling velocity of fine particles, described by a multidimensional partial differential equation with the corresponding initial and boundary conditions. The basic laws of hydrothermodynamics were used in deriving the model. For the numerical solution of the problem, the method of splitting into physical processes was used: transfer, diffusion, and absorption of aerosol particles, as well as an implicit finite-difference scheme in time with the second order of accuracy. Analysis of the results of computational experiments shows that the developed computational algorithm provides sufficient accuracy of the solution in comparison with field measurement data and has a certain advantage over other numerical methods. In the course of computational experiments, the degree of influence of such parameters as wind speed and direction, absorption coefficient, and physical and mechanical properties of particles on the process of propagation of aerosol particles in the atmosphere was established.
| Mualliflar | Muradov, F.A., Мурадов, Ф.А. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-01-07 |
| Son | 6 |
| Betlar | 105-124 |
| Til | Ingliz |
| Indeksga qo‘shilgan | 2026-08-27 |
mathematical model, numerical algorithm, approximation, transfer and diffusion, atmosphere, harmful aerosols, particle settling velocity, математическая модель, численный алгоритм, аппроксимация, перенос и диффузия, атмосфера, вредные аэрозоли, скорость осаждения частиц
| APA | Muradov, F.A., & Мурадов, Ф.А. (2025). Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method. Ҳисоблаш ва амалий математика муаммолари, (6), 105-124. https://journals.airi.uz/index.php/pvpm/article/view/88 |
|---|---|
| GOST (OAK) | Muradov, F.A., Мурадов, Ф.А. Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 6. – P. 105-124. |
| MLA | Muradov, F.A., and Мурадов, Ф.А. “Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method.” Ҳисоблаш ва амалий математика муаммолари, (6), 105-124, 2025. https://journals.airi.uz/index.php/pvpm/article/view/88 |
| Chicago | Muradov, F.A., and Мурадов, Ф.А. “Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method.” Ҳисоблаш ва амалий математика муаммолари, (6), 105-124 (2025). https://journals.airi.uz/index.php/pvpm/article/view/88 |
| Harvard | Muradov, F.A., and Мурадов, Ф.А (2025) ‘Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method’, Ҳисоблаш ва амалий математика муаммолари, (6), 105-124. https://journals.airi.uz/index.php/pvpm/article/view/88 |
| BibTeX | @article{muradovfa2025,
title = {Advanced mathematical model of propagation of gas mixtures and aerosol particles in the atmosphere and numerical solution algorithm based on physical splitting method},
author = {Muradov, F.A. and Мурадов, Ф.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {6},
pages = {105-124},
url = {https://journals.airi.uz/index.php/pvpm/article/view/88}
} |
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