Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models

The new two-fluid turbulence model is compared with other RANS models for various turbulent flows: mixing of two flows, flow in a flat diffuser and an axisymmetric incompressible subsonic jet. In this paper, the most popular models capable of adequately describing complex turbulent flows are conside...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2022-10, Vol.62 (10), p.1707-1722
Main Authors: Malikov, Z. M., Madaliev, M. E.
Format: Article
Language:English
Subjects:
Accuracy
Adequacy
Algorithms
Computational Mathematics and Numerical Analysis
Diffusers
Finite difference method
Fluid dynamics
Fluid flow
Hydrodynamic equations
Incompressible flow
Mathematical Physics
Mathematics
Mathematics and Statistics
Turbulence models
Turbulent flow
Two fluid models
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Summary:The new two-fluid turbulence model is compared with other RANS models for various turbulent flows: mixing of two flows, flow in a flat diffuser and an axisymmetric incompressible subsonic jet. In this paper, the most popular models capable of adequately describing complex turbulent flows are considered as RANS models. Comparisons of models are carried out not only by the accuracy of the results obtained, but also by the consumption of computing resources for the implementation of these models. Therefore, the computational algorithm for all models was the same and the method of establishing, i.e., by integrating non-stationary equations, was used to achieve stationary solutions. For the numerical implementation of systems of hydrodynamic equations, a finite-difference scheme was used, where the viscous terms were approximated by the central difference implicitly, and for convective terms, an explicit scheme against the flow of the second order of accuracy was used. At each time step, the correction for the velocities was carried out through the pressure according to the S-IMPLE procedure. To assess the adequacy, the obtained numerical results are compared with the known experimental data. Comparisons of numerical results have shown that the two-fluid model is easy to implement, requires less computational resources than other RANS models and is able to predict turbulent flows with great accuracy.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542522100098