Geometry of Two-Dimensional Surfaces in Space $${}^{\mathbf{2}}{\boldsymbol{R}_{\mathbf{5}}}$$

Artykbaev, A.; Mamadaliyev, B. M.

doi:10.1134/s1995080223040030

Lobachevskii J Math

2023

DOI: 10.1134/s1995080223040030

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Geometry of Two-Dimensional Surfaces in Space $${}^{\mathbf{2}}{\boldsymbol{R}_{\mathbf{5}}}$$

A. Artykbaev,

B. M. Mamadaliyev

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2024

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Cited by 5 publications

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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation

Daliyev,

Tukxtasinov,

Bozarov

et al. 2024

E3S Web of Conf.

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In this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space. The optimal coefficients of this quadrature formula have been found. In addition, using the constructed composite optimal quadrature formula, numerical results of examples of the generalized Abel integral equation were obtained and compared with the exact solution.

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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation

Daliyev,

Tukxtasinov,

Bozarov

et al. 2024

E3S Web of Conf.

View full text Add to dashboard Cite

show abstract

Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

Bozarov,

Daliyev,

Tukxtasinov

et al. 2024

E3S Web of Conf.

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The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.

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Numerical study of 2D and 3D flow after NASA 4412 airfoil

Madaliev,

Usmonov,

Fayzullaev

et al. 2024

E3S Web Conf.

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In this research work, we conducted an extensive numerical study of the flow around the NASA 4412 airfoil in both two- and threedimensional spaces. To do this, we used advanced computational methods and tools, such as the Comsol Multiphysics software package. Based on the calculations performed, we analyzed the flow characteristics around the airfoil under consideration in order to fully study its aerodynamic properties. Particular attention was paid to turbulence modeling using the k-ε model. This made it possible to more accurately assess turbulent effects and their influence on the behavior of the airfoil under various flow conditions. The obtained results were carefully compared with experimental data, which made it possible to confirm the accuracy and reliability of our numerical calculations. This approach to analyzing the flow around the NASA 4412 airfoil could be an important step in the development of more efficient and optimized aerodynamic designs in various fields of engineering and technology.

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Geometry of Two-Dimensional Surfaces in Space $${}^{\mathbf{2}}{\boldsymbol{R}_{\mathbf{5}}}$$

Cited by 5 publications

References 6 publications

Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation

Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation

Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

Numerical study of 2D and 3D flow after NASA 4412 airfoil

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