The paper presents a mathematical model of advection-diffusion processes describing the dispersion of harmful substances in the atmosphere. The determination of turbulence coefficients based on Taylor's theory, emission sources, and wet deposition processes are analyzed. First-order Upwind and third-order QUICK numerical schemes are applied to solve the problem. The stability of the model is justified based on the CFL criterion, and the numerical realization of boundary conditions is described. The research results serve as a basis for high-precision calculations in predicting atmospheric pollution.
| Mualliflar | Maxmudov, Rustam |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-02-10 |
| Son | 1 |
| Betlar | 7-14 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
турбулентная диффузия, адвекция, дельта-функция Дирака, схема Upwind, схема QUICK, условие КФЛ, мокрое осаждение, математическая модель., turbulent diffusion, advection, Dirac delta function, Upwind scheme, QUICK scheme, CFL condition, wet deposition, mathematical model, turbulent diffusion, advection, Dirac delta function, Upwind scheme, QUICK scheme, CFL condition, wet deposition, mathematical model
| APA | Maxmudov, Rustam (2026). Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms. Al-Farg'oniy avlodlari, (1), 7-14. https://al-fargoniy.uz/index.php/journal/article/view/584 |
|---|---|
| GOST (OAK) | Maxmudov, Rustam Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms // Al-Farg'oniy avlodlari. – 2026. – № 1. – P. 7-14. |
| MLA | Maxmudov, Rustam. “Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms.” Al-Farg'oniy avlodlari, (1), 7-14, 2026. https://al-fargoniy.uz/index.php/journal/article/view/584 |
| Chicago | Maxmudov, Rustam. “Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms.” Al-Farg'oniy avlodlari, (1), 7-14 (2026). https://al-fargoniy.uz/index.php/journal/article/view/584 |
| Harvard | Maxmudov, Rustam (2026) ‘Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms’, Al-Farg'oniy avlodlari, (1), 7-14. https://al-fargoniy.uz/index.php/journal/article/view/584 |
| BibTeX | @article{maxmudovrustam2026,
title = {Mathematical formulation of the atmospheric diffusion problem and numerical solution algorithms},
author = {Maxmudov, Rustam},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {1},
pages = {7-14},
url = {https://al-fargoniy.uz/index.php/journal/article/view/584}
} |
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