This report describes the results of research into the interactions between shock waves and turbulent flows using numerical simulations. The research was conducted at transonic speeds with a normal shock wave and two dimensional turbulence, making use of existing knowledge and computational methods for developing insight to the shock/turbulence interaction. The results indicate that the shock has a significant effect on the turbulence. The shock produces a jump in the turbulence statistics, with a long relaxation distance to return to unshocked values. The turbulence kinetic energy is increased by as much as 30 percent by the shock. The density-velocity correlation becomes important during the shock jump and is greatly increased over the case without a shock. On the other hand, the pressure-velocity correlation is not so important. The shock speed and ripple were found to be important factors in determining the turbulence downstream of a shock wave. Shock speed and ripple correlations are the same size as other important turbulence correlations. The work must be extended to higher Mach numbers and three-dimensional turbulence, with oblique shocks and shear flows. The shock ripple may be more important for oblique shocks because of the larger v component. (jhd).