Dissipation in compressible magnetohydrodynamic turbulence

We report results of a three-dimensional, high resolution (up to 512(3)) nu merical investigation of supersonic compressible magnetohydrodynamic turbul ence. We consider both forced and decaying turbulence. The model parameters are appropriate to conditions found in Galactic molecular clouds. We find that the dissipation time of turbulence is of the order of the flow crossin g time or smaller, even in the presence of strong magnetic fields. About ha lf of the dissipation occurs in shocks. Weak magnetic fields are amplified and tangled by the turbulence, while strong fields remain well ordered.