Lagrangian method for multiple correlations in passive scalar advection

Details Lagrangian method for multiple correlations in passive scalar advection Lagrangian method for multiple correlations in passive scalar advection

1998-10-07

arxiv.org/abs/cond-mat/9810074v2

Physics

Condensed Matter

Statistical Mechanics

11 pages, LATEX, 8 figures. To appear in Phys. Fluids (revised version, minor corrections) Special issue Proceedings of the Ma

Scientific paper

10.1063/1.870079

A Lagrangian method is introduced for calculating simultaneous n-point correlations of a passive scalar advected by a random velocity field, with random forcing and finite molecular diffusivity kappa. The method, which is here presented in detail, is particularly well suited for studying the kappa tending to 0 limit when the velocity field is not smooth. Efficient Monte Carlo simulations based on this method are applied to the Kraichnan model of passive scalar and lead to accurate determinations of the anomalous intermittency corrections in the fourth-order structure function as a function of the scaling exponent xi of the velocity field in two and three dimensions. Anomalous corrections are found to vanish in the limits xi tending to 0 and xi tending to 2, as predicted by perturbation theory.

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