Turbulence in compressible flows

Results stemming from a series of high-resolution three-dimensional computations using the PPM code [28] are reviewed, both for decaying and for driven supersonic turbulence at a r.m.s. Mach number of unity. A comparison with Navier-Stokes runs is provided for the first time in three dimensions. Scaling laws for two-point structure functions obtain, that are similar to the incompressible case, including new results for the energy transfer. Vortex sheets and filaments develop, as well as numerous shocks, with a strong density contrast.