Shell Model for Time-correlated Random Advection of Passive Scalars

Details Shell Model for Time-correlated Random Advection of Passive Scalars Shell Model for Time-correlated Random Advection of Passive Scalars

1999-02-09

arxiv.org/abs/chao-dyn/9902007v3

Nonlinear Sciences

Chaotic Dynamics

Replaced with final version + updated figures

Scientific paper

10.1103/PhysRevE.60.6663

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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