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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2024 Volume 36, Number 4, Pages 133–150 (Mi mm4557)

Research of the quality of adaptive grids to calculate separate flows on a two-fluid turbulence model

M. E. Madaliev

Institute of Mechanics and Earthquake Resistance of Structures of the Academy of Sciences of the Republic of Uzbekistan

Abstract: The paper examines the effectiveness of adaptive computational grids based on the concept of the equidistribution method for the problem of transverse turbulent flow around a cylinder with a square cross-section. Turbulence modeling was carried out based on the two-fluid turbulence model of Z.M. Malikov for Reynolds number Re=21400. To confirm the correctness of the numerical results, a comparison was made with experimental data that were taken from literature sources. It is shown that as a result of using adaptive meshes, it is possible to improve the numerical accuracy for a given number of node points by condensing them in the required areas.

Keywords: Navier–Stokes equations, separated flow, control volume method, two-fluid Malikov model, adaptive grid.

Received: 06.02.2023
Revised: 11.12.2023
Accepted: 26.02.2024

DOI: 10.20948/mm-2024-04-09


 English version:
Mathematical Models and Computer Simulations, 2024, 16:6, 882–895


© Steklov Math. Inst. of RAS, 2026