A Lagrangian model for turbulent dispersion with turbulent-like flow structure: Comparison with direct numerical simulation for two-particle statistics

A wide range of relative two-particle dispersion statistics from the Lagran gian Kinematic Simulation (KS) model, which contains turbulent-like flow st ructures, compares well with Yeung's [Phys. Fluids 6, 3416 (1994)] DNS resu lts. In particular, the Lagrangian flatness factor mu(4)(t) compares excell ently (better than Heppe's [J. Fluid Mech. 357, 167 (1998)] nonlinear stoch astic model). For higher Reynolds numbers the results from KS show that mu( 4)(t) is significantly greater than 3 over a wide range of times within the inertial range of time scales. (C) 1999 American Institute of Physics. [S1 070-6631(99)02706-3].