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Research Papers: Fundamental Issues and Canonical Flows

The Effect of Compressibility on Turbulent Shear Flow: Direct Numerical Simulation Study

[+] Author and Article Information
Aicha Hanafi

e-mail: aicha.hanafi@yahoo.fr

Hechmi Khlifi

e-mail: khlifihachmi@yahoo.fr

Taieb Lili

e-mail: Taieb.Lili@fst.rnu.tn
Faculty of Sciences,
University of Tunis,Tunis, Tunisia

Contributed by the Fluids Engineering Division of ASME for publication in the Journal of Fluids Engineering. Manuscript received January 13, 2013; final manuscript received June 20, 2013; published online July 23, 2013. Assoc. Editor: Sharath S. Girimaji.

J. Fluids Eng 135(10), 101201 (Jul 23, 2013) (5 pages) Paper No: FE-13-1019; doi: 10.1115/1.4024879 History: Received January 13, 2013; Revised June 20, 2013

The study of the phenomenon of compressibility for modeling to second order has been made by several authors, and they concluded that models of the pressure-strain are not able to predict the structural evolution of the Reynolds stress. In particular studies and Simone Sarkar et al., a wide range of initial values of the parameters of the problem are covered. The observation of Sarkar was confirmed by the study of Simone et al. (1997,“The Effect of Compressibility on Turbulent Shear Flow: A Rapid Distortion Theory and Direct Numerical Simulation Study,” J. Fluid Mech., 330, p. 307;“Etude Théorique et Simulation Numérique de la Turbulence Compressible en Présence de Cisaillement où de Variation de Volume à Grande Échelle” thése, École Centrale de Lyon, France). We will then use the data provided by the direct simulations of Simone to discuss the implications for modeling to second order. The performance of different variants of the modeling results will be compared with DNS results.

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References

Figures

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Fig. 1

Time evolution of the turbulent Mach number

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Fig. 2

Time evolution of the gradient Mach number

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Fig. 3

Time evolution of the Reynolds-stress anisotropy b11 in case B1

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Fig. 4

Time evolution of the Reynolds-stress anisotropy b11 in case B3

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Fig. 5

Time evolution of the Reynolds-stress anisotropy b22 in case B1

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Fig. 6

Time evolution of the Reynolds-stress anisotropy b22 in case B3

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Fig. 7

Time evolution of the Reynolds-stress anisotropy b12 in case B1

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Fig. 8

Time evolution of the Reynolds-stress anisotropy b12 in case B3

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Fig. 9

Time evolution of the turbulent Mach number Mt in case B1

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Fig. 10

Time evolution of the turbulent Mach number Mt in case B3

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Fig. 11

Time evolution of the pressure-strain correlation Φ12 in the case B1

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Fig. 12

Time evolution of the pressure-strain correlation Φ12 in the case B3

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