KOLMOGOROVS REFINED SIMILARITY HYPOTHESIS FOR HYPERVISCOUS TURBULENCE

Kolmogorov's refined similarity hypothesis (RSH) is tested in high res olution numerical simulations of forced three-dimensional homogeneous turbulence. High Reynolds numbers are achieved by using hyperviscous d issipation (- 1)(h+1)Delta(h) (h = 8) instead of Newtonian (h = 1) dis sipation. It is found that, in the inertial range, the RSH is reasonab ly well satisfied for low order moments with noticeable systematic cor rections for higher order moments. Within the constraints imposed by t he use of hyperviscosity our data nearly eliminate trivial kinematic d ependencies between longitudinal velocity differences and the energy d issipation rate thus helping to reveal the true dynamical nature of th e RSH.