A new non-equilibrium modification of the k−ω turbulence model for supersonic turbulent flows with transverse jet
Naimanova A. Beketaeva A.
January 2025John Wiley and Sons Ltd
International Journal for Numerical Methods in Fluids
2025#97Issue 169 - 87 pp.
The goal of this research is to propose a new modification of a non-equilibrium effect in the (Formula presented.) turbulence model to better predict high-speed turbulent flows. For that, the two local compressibility coefficients are included in the balance production/dissipation terms in a specific dissipation rate equation. The specific dissipation rate reacts to changes in the local Mach number and density through these local coefficients. The developed model is applied to the numerical simulation of the spatial supersonic turbulent airflow with round hydrogen injection. In that, the effects of the proposed turbulence model on the flow field behavior (shock wave and vortex formations, shock wave/boundary layer interaction, and mixture layer) are studied via the solution of three-dimensional Favre-averaged Navier–Stokes equations with a third-order Essentially Non-Oscillatory scheme. A series of numerical experiments are performed, in which an allowable range of local constants by comparing results with experimental data is obtained. The non-equilibrium modification by simultaneous decrease of the turbulence kinetic energy and increase of the specific dissipation rate gives a good agreement of the hydrogen depth penetration with experimental data. Also, the numerical experiment of the supersonic airflow with a nitrogen jet shows wall pressure distribution is consistent well with experimental data.
Essentially Non-Oscillatory scheme , k-ω turbulence model , non-equilibrium (generation/dissipation rate) effect , shock wave , supersonic multispecies jet injection
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Department of Mathematical Physics and Modeling, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Mathematical Physics and Modeling
Department of Mathematical and Computer Modeling
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