Shell model for turbulent advection of passive-scalar fields

Details Shell model for turbulent advection of passive-scalar fields Shell model for turbulent advection of passive-scalar fields

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrva..45.7214j&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 45, no. 10, May 15, 1992, p. 7214-7221.

Mathematics

Probability

51

High Reynolds Number, Molecular Diffusion, Scaling Laws, Three Dimensional Flow, Turbulent Flow, Navier-Stokes Equation, Power Spectra, Probability Distribution Functions, Scalars

Scientific paper

A shell model for the small-scale statistics of a scalar field passively carried by a three-dimensional turbulent fluid is introduced. The model mimics a cascade process for the spectral transfer of both velocity and a passive scalar. It is found to exhibit an intermittency correction to the 5/3 Obukhov-Corrsin power law for the power spectrum of a passive scalar, at wave numbers k where molecular diffusion and viscosity play a negligible role (inertial convective subrange). The structure functions and the probability distribution functions of the increments of the passive scalar are also computed. The results of this model are in excellent agreement with the experimental data.

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