Suggested by the authors and investigated in the previous papers Piecewise Parabolic Method on Local stencil was applied to numerical simulation of a homogeneous isothermal MHD turbulence, which is essential for an astrophysical problem of star formation in dark molecular clouds. PPML approved itself as an effective method and allowed to obtain a high resolution 3D picture of turbulent motion of a matter. We show that a supersonic motion of a matter forms a turbulent structure which has the regions of high concentration of a matter as well as the regions of strong rarefaction. We also have investigated the influence of the magnetic field to the spectrum of the kinetic energy and to the process of its dissipation.

Mathematical modelling in actual problems of science and technics