  Numerical simulations are used to determine the influence of the non-local
and local interactions on the intermittency corrections in the scaling
properties of 3D turbulence. We show that neglect of local interactions leads
to an enhanced small-scale energy spectrum and to a significantly larger number
of very intense vortices (tornadoes) and stronger intermittency. On the other
hand, neglect of the non-local interactions results in even stronger
small-scale spectrum but significantly weaker intermittency. Based on these
observations, a new model of turbulence is proposed, in which non-local
(RDT-like) interactions couple large and small scale via a multiplicative
process with additive noise and the local interactions are modeled by a
turbulent viscosity. This model is used to derive a simple toy version of the
Langevin equations for small-scale velocity increments. A Gaussian
approximation for the large scale fields yields the Fokker-Planck equation for
the probability distribution function of the velocity increments.
  Steady state solutions of this equation allows to qualitatively explain the
anomalous corrections and the skewness generation along scale.
