Mathematical Modelling of Suspension Uplift by Wind Gusts
https://doi.org/10.23947/2587-8999-2025-9-4-38-45
Abstract
Introduction. The study of suspension uplift processes (e. g., particles of dust, sand, soil, etc.) by wind gusts in the surface layer is aimed at fundamentally understanding the mechanisms of wind erosion, dust storm formation, pollutant transport, and related phenomena. This area of scientific research has significant practical importance for combating desertification, erosion, drought, as well as for increasing crop yields and preserving natural ecosystems. Predicting these processes allows for the assessment and timely response to negative effects associated with them. The objective of this work is to propose and implement a mathematical model that enables numerical experiments with various scenarios of suspension uplift by wind gusts.
Materials and Methods. The paper presents a continuous mathematical model of multicomponent air medium motion in the atmospheric surface layer. The model accounts for factors such as turbulent mixing, variable density, Archimedes’ force, tangential stress at media interfaces, etc. A distinctive feature of the mathematical model is the presence of suspension particles (their composition and aggregate state) in the air medium, as well as the influence of anthropogenic factors — suspension sources. The approach based on mathematical modelling aims to ensure the universality of the numerical implementation.
Results. The mathematical model has been implemented as a software package. Numerical experiments simulating the uplift of suspension by wind gusts in computational domains have been conducted.
Discussion. The results of this work can be in demand for a wide range of tasks related to human health protection, environmental safety, and land-use planning in arid and steppe regions of the country.
Conclusion. Further research by the authors may be directed towards modelling the movement of dust-laden air flows for natural landscapes containing forest plantations.
Keywords
wind gust,
suspended matter,
turbulent mixing,
aerodynamics,
mathematical model,
numerical experiment
Supporting agencies: The study was supported by the Russian Science Foundation grant No. 22−11−00295−Π. https://rscf.ru/en/project/22-11-00295/
About the Authors
V. V. Sidoryakina
Don State Technical University
Россия
Россия
Valentina V. Sidoryakina, Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Mathematics and Informatics
1, Gagarin Square, Rostov-on-Don
A. E. Chistyakov
Don State Technical University
Россия
Россия
Alexander E. Chistyakov, Doctor of Physical and Mathematical Sciences, Professor, Professor of the Department of Software for Computer Engineering and Automated Systems
1, Gagarin Square, Rostov-on-Don
References
1. Zhou X.H., Brandle J.R., Takle E.S., Mize C.W. Estimation of the three-dimensional aerodynamic structure of a green ash shelterbelt. Agricultural and Forest Meteorology. 2002;111(2):93–108. https://doi.org/10.1016/S0168-1923(02)00017-5
2. Bannister E.J., MacKenzie A.R., Cai X.-M. Realistic Forests and the Modeling of Forest-Atmosphere Exchange. Reviews of Geophysics. 2022;60(1):e2021RG000746. https://doi.org/10.1029/2021RG000746
3. Xu X., Yi C., Kutter E. Stably stratified canopy flow in complex terrain. Atmospheric Chemistry and Physics. 2015;15(13):7457–7470. https://doi.org/10.5194/acp-15-7457-2015
4. Yan C., Miao S., Liu Y., Cui G. Multiscale modeling of the atmospheric environment over a forest canopy. Science China Earth Sciences. 2020;63:875–890. https://doi.org/10.1007/s11430-019-9525-6
5. Zeng P., Takahashi H. A first-order closure model for the wind flow within and above vegetation canopies. Agricultural and Forest Meteorology. 2000;103(3):301–313. https://doi.org/10.1016/S0168-1923(00)00133-7
6. Sukhinov A.I., Protsenko E.A., Chistyakov A.E., Shreter S.A. Comparison of computational efficiencies of explicit and implicit schemes for the problem of sediment transport in coastal water systems. In: Parallel computing technologies (PaVT’2015). Proceedings of the international scientific conference (Ekaterinburg, March 31 – April 2, 2015). Editors: L.B. Sokolinsky, K.S. Pan. Chelyabinsk: Publishing center of SUSU, 2015. pp. 297−307. (In Russ.)
7. Sukhinov A.I., Chistyakov A.E., Protsenko E.A. Two-dimensional hydrodynamic model taking into account the dynamic restructuring of the bottom geometry of a shallow reservoir. Bulletin of SFedU. Engineering sciences. 2011;8(121):159–167. (In Russ.)
8. Information Technologies. 2023;7(4):22–29. https://doi.org/10.23947/2587-8999-2023-7-4-22-29 Kamenetsky E.S., Radionoff A.A., Timchenko V.Yu., Panaetova O.S. Mathematical Modelling of Dust Transfer from the Tailings in the Alagir Gorge of the RNO-Alania. Computational Mathematics and Information Technologies. 2023;7(4):22–29. (In Russ.) https://doi.org/10.23947/2587-8999-2023-7-4-22-29
9. Sukhinov A.I., Khachunts D.S., Chistyakov A.E. A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation. Computational Mathematics and Mathematical Physics. 2015;55(7):1216–1231. https://doi.org/10.1134/S096554251507012X
10. Belova Yu.V., Protsenko E.A., Atayan A.M., Kurskaya I.A. Simulation of coastal aerodynamics taking into account forest plantations. Computational Mathematics and Information Technologies. 2018;2(2):91–105. (In Russ.) https://doi.org/10.23947/2587-8999-2018-2-2-91-105
11. Sukhinov A.I., Chistyakov A.E., Sidoryakina V.V. Parallel solution of sediment and suspension transportation problems on the basis of explicit schemes. Communications in Computer and Information Science. 2018;910:306–321. https://doi.org/10.1007/978-3-319-99673-8_22
12. Sidoryakina V.V., Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Protsenko S.V. Parallel algorithms for solving the problem of bottom relief change dynamics in coastal systems. Computational Methods and Programming. 2020;21(3):196–206. (In Russ.) https://doi.org/10.26089/NumMet.v21r318
13. Sukhinov A.I., Sidoryakina V.V. Development and correctness analysis of the mathematical model of transport and suspension sedimentation depending on bottom relief variation. Vestnik of Don State Technical University. 2018;18(4):350–361. https://doi.org/10.23947/1992-5980-2018-18-4-350-361
14. Sukhinov A.I., Chistyakov A.E., Sidoryakina V.V., Protsenko S.V., Atayan A.M. Locally two-dimensional splitting schemes for parallel solving of the three-dimensional problem of suspended substance transport. Mathematical Physics and Computer Simulation. 2021;24(2):38–53. (In Russ.) https://doi.org/10.15688/mpcm.jvolsu.2021.2.4
15. Sidoryakina V.V., Sukhinov A.I. Construction and analysis of the proximity of solutions in L2 for two boundary problems in the model of multicomponent suspension transport in coastal systems. Journal of Computational Mathematics and Mathematical Physics. 2023;63(10):1721–1732. (In Russ.) https://doi.org/10.1134/S0965542523100111
16. Litvinov V.N., Chistyakov A.E., Nikitina A.V., Atayan A.M., Kuznetsova I.Yu. Mathematical modeling of hydrodynamics problems of the Azov Sea on a multiprocessor computer system. Computer Research and Modeling. 2024;16(3):647–672. (In Russ.) https://doi.org/10.20537/2076-7633-2024-16-3-647-672
Review
For citations:
Sidoryakina V.V., Chistyakov A.E. Mathematical Modelling of Suspension Uplift by Wind Gusts. Computational Mathematics and Information Technologies. 2025;9(4):38-45. https://doi.org/10.23947/2587-8999-2025-9-4-38-45
Views:
20
JATS XML
Email this article 