Research on Negative Turbulent Kinetic Energy Production in Supersonic Channel Flow

The anomaly of the energy reverse transmission process makes the turbulent kinetic energy production term in the turbulent kinetic energy transport equation negative. The negative production of turbulent kinetic energy (NPTKE) will affect the redistribution of energy in the flow field, and the conventional gradient assumption is not applicable in many flow situations. In this paper, the Reynolds stress turbulence model is used to solve the two-dimensional compressible turbulent kinetic energy transport equation. The commercial software Fluent v19.1 is utilized to numerically simulate the supersonic channel flow with the effect of shock waves. The results indicate that the Reynolds stress model considering flow anisotropy can characterize the NPTKE. The inherent properties of the mean strain rate tensor influence the turbulent kinetic energy production, and the NPTKE is dominated by the stretching factors. The compression caused by the shock wave leads to a constant positive turbulent kinetic energy production at the position, and the local maximum value is approximately obtained.