S. Grossmann et C. Wiele, REYNOLDS-NUMBER AND SCALE DEPENDENCE OF TURBULENT EDDY DECORRELATION, Zeitschrift fur Physik. B, Condensed matter, 103(3-4), 1997, pp. 469-477
The temporal decay of the Lagrangian velocity correlation function of
isotropic, homogeneous turbulence is calculated by following particle
trajectories and via continued fraction representation. We report on t
he eddy size as well as on the Reynolds number dependence. Most remark
ably, the exponential relaxation approximation for the correlation fun
ction turns out to be insufficient. Memory effects result in a conside
rable enhancement: the decay is more than an order of magnitude faster
. The very high Reynolds number turbulent flow fields are generated by
a reduced wave vector set approximation of the Navier-Stokes dynamics
, but for smaller Re the conclusions are confirmed by direct numerical
simulations, Two orders of magnitude of the Taylor-Reynolds number ar
e covered, up to Re-lambda similar to 10(4).