In this study, a Reynolds stress closure, including the Pantano and Sarkar model of the mean part of the pressure–strain correlation is used for the computation of compressible homogeneous at high-speed shear flow. Several studies concerning the compressible homogeneous shear flow show that the changes of the turbulence structures are principally due to the structural compressibility effects which significantly affect the pressure field and then the pressure–strain correlation. Eventually, this term appears as the main term responsible for the changes in the magnitude of the Reynolds stress anisotropies. The structure of the gradient Mach number is similar to that of turbulence, therefore this parameter may be appropriate to study the changes in turbulence structures that arise from structural compressibility effects. Thus, the incompressible model of the pressure strain correlation and its corrected form by using the turbulent Mach turbulent only, fail to correctly evaluate the compressibility effects at high shear flow. An extension of the widely used incompressible Launder, Reece and Rodi model on compressible homogeneous shear flow is the major aim of the present work. From this extension, the standard coefficients become a function of the extra compressibility parameters (the turbulent Mach number and the gradient Mach number ) through the Pantano and Sarkar model. Application of the model on compressible homogeneous shear flow by considering various initial conditions shows reasonable agreement with the DNS results of Simone et al. and Sarkar. The observed trend of the dramatic increase in the normal Reynolds stress anisotropies, the significant decrease in the Reynolds shear stress anisotropy and the increase of the turbulent kinetic energy amplification rate with increasing the gradient Mach number are well predicted by the model. The ability of the model to predict the equilibrium states for the flow in cases to from DNS results of Sarkar is examined, the results appear to be very encouraging. Thus, both parameters and should be used to model significant structural compressibility effects at high-speed shear flow.
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@article{CRMECA_2011__339_1_27_0,
author = {Hechmi Khlifi and J. Abdallah and H. A{\"\i}cha and L. Ta{\"\i}eb},
title = {A priori evaluation of the {Pantano} and {Sarkar} model in compressible homogeneous shear flows},
journal = {Comptes Rendus. M\'ecanique},
pages = {27--34},
publisher = {Elsevier},
volume = {339},
number = {1},
year = {2011},
doi = {10.1016/j.crme.2010.12.008},
language = {en},
}
TY - JOUR AU - Hechmi Khlifi AU - J. Abdallah AU - H. Aïcha AU - L. Taïeb TI - A priori evaluation of the Pantano and Sarkar model in compressible homogeneous shear flows JO - Comptes Rendus. Mécanique PY - 2011 SP - 27 EP - 34 VL - 339 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2010.12.008 LA - en ID - CRMECA_2011__339_1_27_0 ER -
%0 Journal Article %A Hechmi Khlifi %A J. Abdallah %A H. Aïcha %A L. Taïeb %T A priori evaluation of the Pantano and Sarkar model in compressible homogeneous shear flows %J Comptes Rendus. Mécanique %D 2011 %P 27-34 %V 339 %N 1 %I Elsevier %R 10.1016/j.crme.2010.12.008 %G en %F CRMECA_2011__339_1_27_0
Hechmi Khlifi; J. Abdallah; H. Aïcha; L. Taïeb. A priori evaluation of the Pantano and Sarkar model in compressible homogeneous shear flows. Comptes Rendus. Mécanique, Volume 339 (2011) no. 1, pp. 27-34. doi : 10.1016/j.crme.2010.12.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.12.008/
[1] Evaluation of Reynolds-stress turbulence closures in compressible homogeneous shear flow, ZAMPS, Volume 17 (1985)
[2] Dilatation dissipation, the concept and application in modeling compressible mixing layers, Phys. Fluids A, Volume 2 (1990), p. 178
[3] The analysis and modeling of dilatational terms in compressible turbulence, J. Fluid Mech., Volume 227 (1991), p. 473
[4] Investigation of the pressure strain correlation in compressible homogeneous shear flow, Transitional and turbulent compressible flow, ASME, Volume 151 (1993), pp. 133-138
[5] The stabilizing effects of compressibility in turbulent shear flow, J. Fluid Mech., Volume 282 (1995), p. 163
[6] The effect of compressibility on turbulent shear flow: a rapid distortion—theory and direct numerical simulation study, J. Fluid Mech., Volume 330 (1997), pp. 307-338
[7] Extension of the Launder, Reece and Rodi on compressible homogeneous shear flow, Eur. Phys. J. B, Volume 45 (2005), pp. 147-154
[8] A study of compressibility effects in the high-speed turbulent shear layer using direct simulation, J. Fluid Mech., Volume 451 (2002), pp. 329-371
[9] Progress in the development of a Reynolds-stress turbulence closure, J. Fluid Mech., Volume 68 (1975), p. 537
[10] A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence: An analytical theory, J. Fluid Mech., Volume 347 (1997), p. 37
[11] Progress in Favre Reynolds stress closures for compressible flows, Phys. Fluids A, Volume 9 (1999), p. 2696
[12] Effects of pressure fluctuations on turbulence growth compressible homogeneous shear flow, Phys. Fluids A, Volume 6 (1999), p. 1625
[13] Statistical Mechanics of Turbulent Flows, Springer-Verlag, Berlin, 2003
[14] C.G. Spezial, S. Sarkar, Second-order closure models for supersonic turbulent flows, ICASE Report 91-9, NASA Langley Research Center, Hampton, 1991.
[15] Compressible mixing layer growth rate and turbulence characteristics, J. Fluid Mech., Volume 320 (1996), p. 325
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