ISSN 1991-2927

## Author: "Yury Andreevich Khakhalev"

 V.N. Kovalnogov, I.A.Khakhalev, E.V. Tsvetova, L.V. Khakhaleva
 Mathematical modeling and numerical study of atmospheric boundary layer near windfarms The article analyzes Russian and foreign sources relating to the interaction of wind turbines with the surface layers of the atmosphere. It specifies the main problems of mathematical modeling of the atmospheric boundary layer near the wind farms due to adverse meteorological conditions, in particular, constant zero crossings in the autumn-winter period, various precipitation, a wide time range, air parameters, terrain and other features. The authors analyze the evolution of mathematical models of turbulence to describe the boundary layer near wind turbines from earlier to rapidly developing and currently used. To achieve greater accuracy and naturalism, it is proposed to use high-performance efficient algorithms based on combining scales and physics of phenomena. The authors propose a mathematical model for studying the state of the atmospheric polydisperse boundary layer under conditions of the Ulyanovsk wind farm, taking into account the dispersed particles in the flow, surface curvature, pressure gradient and other influences. Mathematical modeling, model, boundary layer, turbulent flow, wind power, wind farm.
 2021_ 3

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 V. Kovalnogov, Y. Khakhalev
 Mathematical Modeling of Turbulent Flow Based on Analysis of Fractal Dimension of Pressure Fluctuations The article defines the fractal dimension of turbulent pressure fluctuations on the basis of theoretical and experimental studies. It offers a mathematical model for turbulence based on the fractal characteristics of pulsations.Boundary layer, pressure fluctuations, turbulent flow, model, chaos, fractal characteristics.
 2013_ 1

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling.

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