Anomalous scaling in random shell models for passive scalars - CNRS - Centre national de la recherche scientifique
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 1996

Anomalous scaling in random shell models for passive scalars

L. Biferale

Résumé

A shell-model version of Kraichnan's [Phys. Rev. Lett. 72, 1016 (1994)] passive scalar problem is introduced which is inspired by the model of Jensen, Paladin, and Vulpiani [Phys. Rev. A 45, 7214 (1992)]. As in the original problem, the prescribed random velocity field is Gaussian and δ correlated in time, and has a power-law spectrum ~k-ξm, where km is the wave number. Deterministic differential equations for second- and fourth-order moments are obtained and then solved numerically. The second-order structure function of the passive scalar has normal scaling, while the fourth-order structure function has anomalous scaling. For ξ=2/3 the anomalous scaling exponents ζp are determined for structure functions up to p=16 by Monte Carlo simulations of the random shell model, using a stochastic differential equation scheme, validated by comparison with the results obtained for the second- and fourth-order structure functions.

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Dates et versions

hal-00546281 , version 1 (14-12-2010)

Identifiants

Citer

Achim Wirth, L. Biferale. Anomalous scaling in random shell models for passive scalars. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 1996, 54, pp.4982-4989. ⟨10.1103/PHYSREVE.54.4982⟩. ⟨hal-00546281⟩

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