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

Abstract

Results of direct numerical simulation (DNS) of incompressible homoge-neous and isotropic forced turbulence with grid points up to 10243 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 10243 grid points, and the energy spectrum exhibits an universal equilibrium range. The results suggest that for R λ > 280 or so, the energy dissipation rate normalized by the integral length scale and root-mean-square velocity is almost independent of R λ and is 0.44 – 0.45.