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A Simple Passive Scalar Advection-Diffusion Model

Statistical Mechanics 2009-10-31 v1

Abstract

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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Cite

@article{arxiv.cond-mat/9805179,
  title  = {A Simple Passive Scalar Advection-Diffusion Model},
  author = {Scott Wunsch},
  journal= {arXiv preprint arXiv:cond-mat/9805179},
  year   = {2009}
}

Comments

30 pages, 11 figures