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Title:
Calibrating passive scalar transport in shear-flow turbulence
Authors:
Madarassy, Enikő J. M.; Brandenburg, Axel
Affiliation:
AA(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden), AB(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden; Department of Astronomy, AlbaNova University Center, Stockholm University, SE 10691 Stockholm, Sweden)
Publication:
Physical Review E, vol. 82, Issue 1, id. 016304 (PhRvE Homepage)
Publication Date:
07/2010
Origin:
APS
PACS Keywords:
Turbulent diffusion, Direct numerical simulations, Hydrodynamics
Abstract Copyright:
(c) 2010: The American Physical Society
DOI:
10.1103/PhysRevE.82.016304
Bibliographic Code:
2010PhRvE..82a6304M

Abstract

The turbulent diffusivity tensor is determined for linear shear-flow turbulence using numerical simulations. For moderately strong shear, the diagonal components are found to increase quadratically with Peclet and Reynolds numbers below about 10 and then become constant. The diffusivity tensor is found to have components proportional to the symmetric and antisymmetric parts of the velocity gradient matrix, as well as products of these. All components decrease with the wave number of the mean field in a Lorentzian fashion. The components of the diffusivity tensor are found not to depend significantly on the presence of helicity in the turbulence. The signs of the leading terms in the expression for the diffusion tensor are found to be in good agreement with estimates based on a simple closure assumption.
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