A Simple Passive Scalar Advection-Diffusion Model

Details A Simple Passive Scalar Advection-Diffusion Model A Simple Passive Scalar Advection-Diffusion Model

1998-05-14

arxiv.org/abs/cond-mat/9805179v1

Physics

Condensed Matter

Statistical Mechanics

30 pages, 11 figures

Scientific paper

10.1103/PhysRevE.58.5757

This paper presents a simple, one-dimensional model of a randomly advected passive scalar. The model exhibits anomalous inertial range scaling for the structure functions constructed from scalar differences. The model provides a simple computational test for recent ideas regarding closure and scaling for randomly advected passive scalars. Results suggest that high order structure function scaling depends on the largest velocity eddy size, and hence scaling exponents may be geometry-dependent and non-universal.

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