Geodesic
Numerical simulation of turbulent flows on the basis of a two-fluid model of turbulence
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 82 (2023), pp. 120-140

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This paper discusses the capabilities of a two-fluid turbulence model for solving complex physical problems such as separated flow around a square cylinder and laminar- turbulent flow in a suddenly expanding channel. The numerical solution to the system of hydrodynamic equations is implemented using a finite-difference scheme. At each time step, the velocities are corrected through pressure calculations according to the SIMPLE algorithm. For verification purposes, the obtained numerical results are compared with available experimental data. A comparison of numerical results has shown that the two-fluid model is easy to implement, requires less computational resources and is capable of predicting laminar and turbulent flows with high accuracy.
Keywords: Navier-Stokes equations, separated flow, two-fluid model, finite volume method. 
@article{VTGU_2023_82_a9,
     author = {M. E. Madaliev},
     title = {Numerical simulation of turbulent flows on the basis of a two-fluid model of turbulence},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {120--140},
     publisher = {mathdoc},
     number = {82},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_82_a9/}
}
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M. E. Madaliev. Numerical simulation of turbulent flows on the basis of a two-fluid model of turbulence. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 82 (2023), pp. 120-140. http://geodesic.mathdoc.fr/item/VTGU_2023_82_a9/