Abstract: High Mach number compressible turbulent flow is a multi-process physical phenomenon with multi-scale properties. To explore its physical mechanism, the motion compressible turbulence is divided into shear and dilation processes, and the effect of dilation on the statistic and dynamics of turbulence is investigated. At first, a new compact-WENO scheme is developed to simulate the turbulent field accurately. The multi-scale properties of shear and dilation process and their effect on the particle transportation are analyzed. The effect of shock on turbulence field is investigated. It is proved that the energy flux due to convection and pressure are constant, then there exists the inertial range for kinetic energy cascade. It is also proved that both the shear and compressible parts of kinetic energy flux are constant in the inertial range. The contribution from subgrid scale stress and subgrid mass flux to the kinetic energy cascade is analyzed.