Non-Gaussian invariant measures for the Majda model of decaying turbulent transport. (English) Zbl 1036.76025
The author considers the evolution of a scalar passively advected by a turbulent velocity field. The mechanism underlying intermittency in passive scalar advection is explained. Majda’s model, developed in the paper [A. J. Majda, Phys. Fluids A 5, No. 8, 1963–1970 (1993; Zbl 0781.76047)], is investigated. Generalizations of Majda’s model are presented for relaxed assumption that the velocity field is white-in-time. It is shown that the results obtained by the author for Majda’s model are valid for all velocity fields with finite correlation time, while for velocity fields with infinite correlation time the intermittent corrections in the statistics of the scalar become more important as the persistence effects in the velocity fields increase.
Reviewer: Alexander V. Gemintern (Haifa)
MSC:
| 76F25 | Turbulent transport, mixing |
| 76F55 | Statistical turbulence modeling |
| 60H30 | Applications of stochastic analysis (to PDEs, etc.) |
Keywords:
turbulent transport; Majda model; velocity field; probability distribution; intermittency; passive scalar advection; finite correlation time; infinite correlation timeCitations:
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