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Methods of Calculation of Turbulent Diffusivities

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Abstract

Different techniques of calculation and estimation of turbulentdiffusivities D\(^{^{\mathcal{D}_\mathcal{T} } } \) of passive fields in infinite incompressiblemedia showing isotropic, homogeneous and stationary turbulence areconsidered. The numerical comparison of the methods is made mostlyfor two representative limiting models of turbulence – withpeak-like spectrum and for vast Kolmogorov's type spectrum. The timedependence of two-point velocity correlators is assumed to beexponential. The backbone of the comparison is steady-state turbulentdiffusivities calculated in nonlinear DIA-approach with thecorrections due to contribution of four-order velocity correlators.As a result of this comparison the most satisfactory approximatemethods are proposed both for steady-state and time-dependentturbulent diffusivities. The results may be used for the most correctchoice of \(^{^{\mathcal{D}_\mathcal{T} } } \)-dependence in various astrophysical problems.

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  1. Apartado Postal 51 y 216 Z.P, 72000, Puebla, Pue. Mexico

    N.A. Silant'ev

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  1. N.A. Silant'ev
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Silant'ev, N. Methods of Calculation of Turbulent Diffusivities. Astrophysics and Space Science 249, 95–109 (1997). https://doi.org/10.1023/A:1000328407621

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