Flow, Turbulence and Combustion
, Volume 72, Issue 2, pp 333347
First online:
Simulations of ThreeDimensional Turbulent Mixing for Schmidt Numbers of the Order 1000
 P.K. YeungAffiliated withSchool of Aerospace Engineering, Georgia Institute of Technology Email author
 , S. XuAffiliated withSchool of Aerospace Engineering, Georgia Institute of Technology
 , D.A. DonzisAffiliated withSchool of Aerospace Engineering, Georgia Institute of Technology
 , K.R. SreenivasanAffiliated withInternational Center for Theoretical Physics
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We report basic results from new numerical simulations of passive scalar mixing at Schmidt numbers (Sc) of the order of 1000 in isotropic turbulence. The required high gridresolution is made possible by simulating turbulence at very low Reynolds numbers, which nevertheless possesses universality in dissipative scales of motion. The results obtained are qualitatively consistent with those based on another study (Yeung et al., Phys. Fluids 14 (2002) 41784191) with a less extended Schmidt number range and a higher Reynolds number. In the stationary state maintained by a uniform mean scalar gradient, the scalar variance increases slightly with Sc but scalar dissipation is nearly constant. As the Schmidt number increases, there is an increasing trend towards k ^{−1} scaling predicted by Batchelor (Batchelor, J. Fluid Mech. 5 (1959) 113133) for the viscousconvective range of the scalar spectrum; the scalar gradient skewness approaches zero; and the intermittency measured by the scalar gradient flatness approaches its asymptotic state. However, the value of Sc needed for the asymptotic behavior to emerge appears to increase with decreasing Reynolds number of the turbulence. In the viscousdiffusive range, the scalar spectrum is in better agreement with Kraichnan's (Kraichnan., Phys. Fluids 11 (1968) 945953) result than with Batchelor's.
 Title
 Simulations of ThreeDimensional Turbulent Mixing for Schmidt Numbers of the Order 1000
 Journal

Flow, Turbulence and Combustion
Volume 72, Issue 24 , pp 333347
 Cover Date
 200406
 DOI
 10.1023/B:APPL.0000044400.66539.78
 Print ISSN
 13866184
 Online ISSN
 15731987
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 turbulence
 mixing
 passive scalars
 schmidt number
 numerical simulation
 scaling
 Industry Sectors
 Authors

 P.K. Yeung ^{(1)}
 S. Xu ^{(1)}
 D.A. Donzis ^{(1)}
 K.R. Sreenivasan ^{(2)}
 Author Affiliations

 1. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA
 2. International Center for Theoretical Physics, Strada Costiera, Trieste, Italy