Numerical Measurements of Turbulent Length Scales in Shock/Turbulence Interaction

Abstract

In the present paper, numerical measurements of turbulent length scales are performed by solving Reynolds-averaged Navier–Stokes equations with k–e turbulence model. The aim of the simulations is to investigate turbulence micro-scales variations as well as energy dissipation due to interaction of the turbulent flow with the shock wave. All turbulent properties are measured during the compression by the reflected shock wave on the turbulent field and it is observed that the turbulent length scales decrease in interaction of the shock wave with the turbulent field. The amplification of turbulent velocity length scale and the turbulent dissipative-length scale depend on the shock wave strength and the shock induced flow fields during interaction. The amplification of turbulent velocity length scale and the turbulent dissipative-length scale in interaction of the shock wave with subsonic flow field is higher as compare to the amplification in interaction of the shock wave with supersonic flow field. After the shock/turbulence interaction, the turbulent kinetic energy dissipation rate decreases for all types of flow fields behind the incident shock wave.