Dynamics of Passive-Scalar Turbulence

We present the first study of the dynamic scaling or multiscaling of passive-scalar and passive-vector turbulence. For the Kraichnan version of passive-scalar and passive-vector turbulence we show analytically, in both Eulerian and quasi-Lagrangian frameworks, that simple dynamic scaling is obtained...

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Bibliographic Details
Published in:arXiv.org 2005-10
Main Authors: Mitra, Dhrubaditya, Pandit, Rahul
Format: Article
Language:English
Subjects:
Computer simulation
Mathematical models
Scaling
Turbulence
Velocity distribution
Online Access:Get full text
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Summary:We present the first study of the dynamic scaling or multiscaling of passive-scalar and passive-vector turbulence. For the Kraichnan version of passive-scalar and passive-vector turbulence we show analytically, in both Eulerian and quasi-Lagrangian frameworks, that simple dynamic scaling is obtained but with different dynamic exponents. By developing the multifractal model we show that dynamic multiscaling occurs in passive-scalar turbulence only if the advecting velocity field is itself multifractal. We substantiate our results by detailed numerical simulations in shell models of passive-scalar advection.
ISSN:2331-8422
DOI:10.48550/arxiv.0412013