Intermittency in passive scalar advection
U. Frisch, A. Mazzino, M. Vergassola
TL;DR
This paper introduces a Lagrangian Monte Carlo method for simulating passive scalar advection, revealing clean scaling behavior and exploring how scalar anomalies depend on the velocity field's scaling exponent.
Contribution
A novel Lagrangian Monte Carlo scheme for passive scalar advection simulation that effectively captures scalar structure functions and anomalies.
Findings
Clean scaling behavior observed in scalar structure functions
Scalar anomalies depend on the velocity field's scaling exponent
Specific analysis of the three-dimensional fourth-order structure function
Abstract
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 of the advecting velocity field. The three-dimensional fourth-order structure function is specifically considered.
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