The study of atmospheric pollutant transport and diffusion processes remains a vital scientific issue and a field of interest for many researchers. Mathematical modeling is often the most effective means for uncovering and understanding the patterns of complex dynamic mass transfer processes in the atmosphere. Among the widely used transport models are those based on the Lagrangian approach to describing particle motion in tur bulent flows. This paper discusses the development of a simple Lagrangian model and a solution algorithm for the problem of particle dispersion emitted from a stationary point source, taking into account the effects of gravitational settling, radioactive decay, and terrain features. The representation of the three-dimensional wind field is achieved by generating variable wind speed components and deviation angles. Additionally, the par ticles are subjected to turbulent diffusion, implemented as a random walk process. The model processes a straightforward landscape and simulates the interaction of particles with the underlying surface. The ability to assess the spatial distribution of the concen tration of suspended and deposited particles over a given time range allows for the study of various scenarios of harmful emissions’ impact on the environment in both urban and rural settings.
| Mualliflar | Akhmedov, D.D., Ubaydullaev, M.Sh., Nasrullaev, P.A., Ахмедов, Д.Д., Убайдуллаев, М.Ш., Насруллаев, П.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 | 2024-05-21 |
| Son | 1 |
| Betlar | 26-47 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-27 |
transport and diffusion of particles, turbulent flow, pollutant concentration, ecological conditions, air, model, algorithm, software, перенос и диффузия частиц, турбулентный поток, концентрация примеси, экологическое состояние, атмосферный воздух, модель, алгоритм, программное средство
| APA | Akhmedov, D.D., Ubaydullaev, M.Sh., Nasrullaev, P.A., Ахмедов, Д.Д., Убайдуллаев, М.Ш., & Насруллаев, П.А. (2024). SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE. Ҳисоблаш ва амалий математика муаммолари, (1), 26-47. https://journals.airi.uz/index.php/pvpm/article/view/2 |
|---|---|
| GOST (OAK) | Akhmedov, D.D. va b. SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 1. – P. 26-47. |
| MLA | Akhmedov, D.D., Ubaydullaev, M.Sh., Nasrullaev, P.A., Ахмедов, Д.Д., Убайдуллаев, М.Ш., and Насруллаев, П.А. “SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE.” Ҳисоблаш ва амалий математика муаммолари, (1), 26-47, 2024. https://journals.airi.uz/index.php/pvpm/article/view/2 |
| Chicago | Akhmedov, D.D., Ubaydullaev, M.Sh., Nasrullaev, P.A., Ахмедов, Д.Д., Убайдуллаев, М.Ш., and Насруллаев, П.А. “SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE.” Ҳисоблаш ва амалий математика муаммолари, (1), 26-47 (2024). https://journals.airi.uz/index.php/pvpm/article/view/2 |
| Harvard | Akhmedov, D.D., Ubaydullaev, M.Sh., Nasrullaev, P.A., Ахмедов, Д.Д., Убайдуллаев, М.Ш., and Насруллаев, П.А (2024) ‘SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE’, Ҳисоблаш ва амалий математика муаммолари, (1), 26-47. https://journals.airi.uz/index.php/pvpm/article/view/2 |
| BibTeX | @article{akhmedovdd2024,
title = {SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE},
author = {Akhmedov, D.D. and Ubaydullaev, M.Sh. and Nasrullaev, P.A. and Ахмедов, Д.Д. and Убайдуллаев, М.Ш. and Насруллаев, П.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {1},
pages = {26-47},
url = {https://journals.airi.uz/index.php/pvpm/article/view/2}
} |
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