This paper addresses the development of a mathematical model for evaluating the spatial distribution of fine particulate emissions from a continuous elevated source. The model is built upon the advection-diffusion equation, solved on a spatial grid with logarithmic node refinement near the ground surface. For numerical implementation, a directional splitting method and an implicit scheme are applied. Particular emphasis is placed on the parameterization method of the atmospheric boundary layer. To verify the accuracy and stability of the proposed algorithm, a series of computational experiments was conducted for four meteorological scenarios typical of Tashkent. The obtained results confirm the conservative nature of the finite-difference scheme and clearly demonstrate the local influence of surface roughness on the deposition pattern of pollutant particles and ground-level concentration levels.
| Mualliflar | Akhmedov, D.D., Turkmenova, R.T., Ахмедов, Д.Д., Туркменова, Р.Т. |
|---|---|
| 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 | 2026-09-15 |
| Son | 4 |
| Betlar | 5-26 |
| Til | Ingliz |
| DOI | 10.71310/pcam.4_74.2026.01 |
| Indeksga qo‘shilgan | 2026-09-16 |
DOI: 10.71310/pcam.4_74.2026.01 · Maqolaning asl sahifasi
atmospheric mass transfer, thermodynamic stratification, turbulence, anthropogenic pollution, finite difference method, атмосферный массоперенос, термодинамическая стратификация, турбулентность, антропогенное загрязнение, метод конечных разностей
| APA | Akhmedov, D.D., Turkmenova, R.T., Ахмедов, Д.Д., & Туркменова, Р.Т. (2026). Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations. Ҳисоблаш ва амалий математика муаммолари, (4), 5-26. https://doi.org/10.71310/pcam.4_74.2026.01 |
|---|---|
| GOST (OAK) | Akhmedov, D.D. va b. Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 4. – P. 5-26. – DOI: 10.71310/pcam.4_74.2026.01. |
| MLA | Akhmedov, D.D., Turkmenova, R.T., Ахмедов, Д.Д., and Туркменова, Р.Т. “Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations.” Ҳисоблаш ва амалий математика муаммолари, (4), 5-26, 2026. https://doi.org/10.71310/pcam.4_74.2026.01 |
| Chicago | Akhmedov, D.D., Turkmenova, R.T., Ахмедов, Д.Д., and Туркменова, Р.Т. “Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations.” Ҳисоблаш ва амалий математика муаммолари, (4), 5-26 (2026). https://doi.org/10.71310/pcam.4_74.2026.01 |
| Harvard | Akhmedov, D.D., Turkmenova, R.T., Ахмедов, Д.Д., and Туркменова, Р.Т (2026) ‘Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations’, Ҳисоблаш ва амалий математика муаммолари, (4), 5-26. https://doi.org/10.71310/pcam.4_74.2026.01 |
| BibTeX | @article{akhmedovdd2026,
title = {Modeling mesoscale transport of fine particulate matter in the atmosphere accounting for stochastic wind fluctuations},
author = {Akhmedov, D.D. and Turkmenova, R.T. and Ахмедов, Д.Д. and Туркменова, Р.Т.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {4},
pages = {5-26},
doi = {10.71310/pcam.4_74.2026.01},
url = {https://doi.org/10.71310/pcam.4_74.2026.01}
} |
Boshqa maqola uchun iqtibos tayyorlash
This work presents a comprehensive numerical and analytical study of hydrodynamic and thermal processes in closed pipelines of variable diameter, taking into account terrain relief and external thermal influences. The…
This study presents a mathematical and numerical model for filtration flow, solute transport, adsorption, and membrane fouling in a cylindrical porous filter. The model combines axisymmetric Brinkman–Darcy flow…
The paper addresses the formulation of plane elasticity problems in terms of stresses and their numerical solution by the Galerkin finite element method. Based on the equilibrium equations, geometric relations, and…
This paper studies the dynamics of derivatives of various orders of the Falkner–Skan (FS) equation in the presence of a longitudinal pressure gradient. The FS equation is a nonlinear singularly perturbed third-order…
This study presents an efficient method for approximating the solutions of a certain class of first-order differential equations with variable coefficients. The approach constructs an auxiliary differential equation…
As a devastating fungal disease that seriously threatens potato production, the transmission process of potato early and late blight is significantly affected by environmental fluctuations. To accurately reveal the…
A mathematical model has been developed to provide a more accurate description of atmospheric dust particle transport. Unlike most existing models that assume the particle velocity matches the wind speed, this work…
This study presents a comparative numerical investigation of the Finite Difference Method (FDM) and the Finite Volume Method (FVM) for simulating filtration processes in a cylindrical porous filter. The mathematical…
A nonlinear mathematical model with boundary, initial and internal conditions is proposed for monitoring and forecasting unsteady groundwater seepage with a free surface, taking into account infiltration flows and the…
This article presents a mathematical model of suspension filtration in a filter section, taking into account the saturation of each layer of the porous medium. An incompressible fluid in free-flowing regions is…
Ҳисоблаш ва амалий математика муаммолари — barcha maqolalar · 2026-yil arxivi
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…