Abstract
A dissipation-conditioned stochastic model for the simulation of marked fluid-particle trajectories is formulated that reproduces the extreme intermittency of Lagrangian accelerations and Lagrangian velocity increments observed in recent direct numerical simulations (DNS) of near-wall turbulence [Lee, Yeo, and Choi, Phys. Rev. Lett. 92, 144502 (2004); Choi, Yeo, and Lee, Phys. Fluids 16, 779 (2004)]. Model agreement with data from the DNS for the mean-square displacements of marked fluid particles is good and significantly better than that which can be obtained with stochastic models formulated in terms of the mean rather than the fluctuating rate of dissipation of turbulent kinetic energy. The model accounts, in part, for the observed extreme intermittency of rotations of the Lagrangian velocity vector.
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