Passive scalar intermittency in compressible flow

Abstract

A compressible generalization of the Kraichnan model (Phys. Rev. Lett. 72, 1016 (1994)) of passive scalar advection is considered. The dynamical role of compressibility on the intermittency of the scalar statistics is investigated for the direct cascade regime. Simple physical arguments suggest that an enhanced intermittency should appear for increasing compressibility, due to the slowing down of Lagrangian trajectory separations. This is confirmed by a numerical study of the dependence of intermittency exponents on the degree of compressibility, by a Lagrangian method for calculating simultaneous N-point tracer correlations.

4 pages, 3 figures Revised version, accepted for publication in PRE - Rapid communications

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• Turbulence and passive scalar transport in a free-slip surface
• Anomalous scaling of passive scalar fields advected by the Navier-Stokes velocity ensemble: Effects of strong compressibility and large-scale anisotropy
• Turbulent compressible fluid: renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields
• Kazantsev dynamo in turbulent compressible flows
• Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near $d=4$
• Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$
• Effect of Compressibility on the Annihilation Process
• Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture