Intermittency in passive scalar advection

Details Intermittency in passive scalar advection Intermittency in passive scalar advection

1998-02-18

arxiv.org/abs/cond-mat/9802192v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.80.5532

A Lagrangian method for the numerical simulation of the Kraichnan passive scalar model is introduced. The method is based on Monte--Carlo simulations of tracer trajectories, supplemented by a point-splitting procedure for coinciding points. Clean scaling behavior for scalar structure functions is observed. The scheme is exploited to investigate the dependence of scalar anomalies on the scaling exponent $\xi$ of the advecting velocity field. The three-dimensional fourth-order structure function is specifically considered.

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