Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-02-12
Nonlinear Sciences
Chaotic Dynamics
4 pages, 3 figures Revised version, accepted for publication in PRE - Rapid communications
Scientific paper
10.1103/PhysRevE.60.R1138
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.
Celani Antonio
Lanotte Alessandra
Mazzino Andrea
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