Geometry of intensive scalar dissipation events in turbulence

Details Geometry of intensive scalar dissipation events in turbulence Geometry of intensive scalar dissipation events in turbulence

2006-08-24

arxiv.org/abs/nlin/0608057v1

Phys. Rev. Lett., 97 (2006) 124502

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 Postscript figures (2 with reduced quality)

Scientific paper

10.1103/PhysRevLett.97.124502

Maxima of the scalar dissipation rate in turbulence appear in form of sheets and correspond to the potentially most intensive scalar mixing events. Their cross-section extension determines a locally varying diffusion scale of the mixing process and extends the classical Batchelor picture of one mean diffusion scale. The distribution of the local diffusion scales is analysed for different Reynolds and Schmidt numbers with a fast multiscale technique applied to very high-resolution simulation data. The scales take always values across the whole Batchelor range and beyond. Furthermore, their distribution is traced back to the distribution of the contractive short-time Lyapunov exponent of the flow.

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