 
Summary: About the second order moment of the Lagrangian velocity increments
L. Biferale1
and A.S. Lanotte2
1
Dept. Physics, Univ. Rome Tor Vergata (Italy),
Tech. University of Eindhoven (The Netherlands)
& Kavli Institute for Theoretical Physics, UCSB, Santa Barbara (CA)
2
CNRISAC, Str. Prov. LecceMonteroni, 73100 Lecce (Italy) &
Kavli Institute for Theoretical Physics, UCSB, Santa Barbara (CA)
We discuss a parameterization for the scaling behavior of the second moment of Lagrangian
velocity increment in statistically isotropic and homogeneous 3D turbulence, and we compare it
with data from Direct Numerical Simulation at Reynolds number up to Re 300.
I. BATCHELOR PARAMETERIZATION FOR THE LAGRANGIAN SECOND ORDER STRUCTURE
FUNCTION
This is the follow up of the discussion [1], we had about the scaling behavior of the second order moment of velocity
incements measured along tracers trajectories in statistically isotropic and homogeneous (HIT) three dimensional
turbulence. These are:
S
(i)
