DNS study of the universality at small scales of turbulence at high
Reynolds number
Y. Kaneda, Department of Computational Science and Engineering,
Graduate School of Engineering, Nagoya University, Japan
A review is given on studies of high Reynolds number (Re) turbulence by
high resolution direct numerical simulations (DNSs) of incompressible
homogeneous turbulence with the number of the grid points up to 4096^3.
An emphasis is given on the possible universality of small scale
statistics and the Re-dependence of the statistics including
(i) one points
statistics of velocity gradients,
(ii) two-point statistics of velocity
fields, and
(iii) coarse grained statistics such as energy transfer to
subgrid scale, and coarse grained kinetic energy dissipation rate.
Small scale statistics in turbulent shear flows, stratified turbulence,
and MHD turbulence are also discussed.