Abstract
Using data of a direct numerical simulation (DNS) of 3D turbulence it is shown that the moments of order between 1 and 6 of both longitudinal and transverse components of velocity increment for forced as well as decay turbulence can be described by stretched lognormal distribution for all scales from the dissipation to the inertial ranges and for all values of Reynolds number investigated in this DNS (50< R λ <459). A new (local) version of extended self-similarity has been used for this purpose. Effects of vortex structure on increment of velocity field in forced and in decay turbulence are briefly discussed.
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