Shell Model for Time-correlated Random Advection of Passive Scalars

Abstract

We study a minimal shell model for the advection of a passive scalar by a Gaussian time correlated velocity field. The anomalous scaling properties of the white noise limit are studied analytically. The effect of the time correlations are investigated using perturbation theory around the white noise limit and non-perturbatively by numerical integration. The time correlation of the velocity field is seen to enhance the intermittency of the passive scalar.

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References in corpus (2)

• Intermittency in passive scalar advection
• Analytic calculation of anomalous scaling in random shell models for a passive scalar

Cited by in corpus (7)

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• Scaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection
• Intermittency in Turbulence: computing the scaling exponents in shell models
• Fixed points, stability and intermittency in a shell model for advection of passive scalars
• Perturbative anomalous exponents from Kolmogorov multipliers