High Resolution DNS of Incompressible Homogeneous Forced Turbulence —Time Dependence of the Statistics—

Abstract

Results of direct numerical simulation (DNS) of incompressible homogeneous and isotropic forced turbulence with grid points up to 1024 3 are presented with emphasis on the time dependence of the turbulence statistics. The Taylor micro scale Reynolds number at a quasi-stationary state is 283 in the DNS with 1024 3 grid points, and the energy spectrum exhibits an universal equilibrium range. The results suggest that for R > 280 or so, the energy dissipation rate normalized by the integral length scale and root-mean-square velocity is almost independent o f R and is 0:44 0 0:45.