Evaluation of the turbulence velocity skewness factor in a detonation-turbulence interaction

In physical and computational studies of turbulence, the velocity skewness factor is a property of interest quantifying the development of the turbulence. Tavoularis (1978) defined the velocity skewness for fully-developed turbulence as a negative ratio of the average partial derivative of streamwise velocity with respect to the axial position, S(u,x). This definition is used in the direct numerical simualtion of homogeneous isotropic turbulence. The skewness factor, in this study, is evaluated for a turbulent fluid flow as it interacts with a detonation wave. The analysis extends the long-standing definition to include the variation of the transverse velocities in all three Cartesian spatial coordinates. The skewness components are evaluated and compared to assess significance in a detonation-turbulence interaction.