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Research Papers: Fundamental Issues and Canonical Flows

Unstably Stratified Homogeneous Turbulence as a Tool for Turbulent Mixing Modeling

[+] Author and Article Information
J. Griffond

CEA, DAM, DIF,
F-91297 Arpajon, France
e-mail: jerome.griffond@cea.fr

B. J. Gréa

CEA, DAM, DIF,
F-91297 Arpajon, France
e-mail: benoit-joseph.grea@cea.fr

O. Soulard

CEA, DAM, DIF,
F-91297 Arpajon, France
e-mail: olivier.soulard@cea.fr

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 22, 2013; final manuscript received October 1, 2013; published online July 9, 2014. Assoc. Editor: Oleg Schilling.

J. Fluids Eng 136(9), 091201 (Jul 09, 2014) (6 pages) Paper No: FE-13-1040; doi: 10.1115/1.4025675 History: Received January 22, 2013; Revised October 01, 2013

In this paper, we propose a kind of buoyancy-driven flow leading to unstably stratified homogeneous (USH) turbulence. This approach is developed in the context of incompressible Navier–Stokes equations under Boussinesq approximation. We show that USH turbulence is a valuable tool for understanding and modeling turbulent mixing induced by Rayleigh-Taylor (RT) instability. It is a much simpler configuration than “RT turbulence” which is in fact inhomogeneous. Thus, it gives insights in the basic mechanisms of buoyancy-driven turbulence, namely the interplay between buoyancy production, nonlinearities and dissipation. Besides, despite their differences both types of turbulence share very similar features for the large scale characteristics as well as for the inertial range spectrum structure.

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Copyright © 2014 by ASME
Topics: Turbulence
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References

Figures

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Fig. 1

Isocontours of perturbed density at ±max|ρ|/3 for USH turbulence (a) and RT turbulence (b)

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Fig. 5

Reynolds stress model coefficient identification from USH turbulence with respect to turbulent Reynolds number; dissipation coefficients (a), return to isotropy coefficient (b), and isotropization of the production coefficient (c)

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Fig. 4

Angular spectra of longitudinal Reynolds stress with respect to the sine of the angle between gravity and wavevector for USH turbulence (a) and RT turbulence (b)

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Fig. 3

Anisotropy spectra of longitudinal Reynolds stress with respect to wavenumber for USH turbulence (a) and RT turbulence (b); only infrared and inertial parts of the spectra is shown

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Fig. 2

Main dimensionless turbulent parameters R, C and F with respect to the turbulence Reynolds number k2/(νɛ) for USH turbulence (a) and RT turbulence (b)

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