Mathematical Modelling of Suspension Uplift by Wind Gusts

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.