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Compressibility effects on the growth and structure of homogeneous turbulent shear flow

Published online by Cambridge University Press:  26 April 2006

G. A. Blaisdell ,
N. N. Mansour  and
W. C. Reynolds
G. A. Blaisdell
Affiliation:
School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USA
N. N. Mansour
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
W. C. Reynolds
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA Department of Mechanical Engineering, Stanford University, CA 94305, USA
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Abstract

Compressibility effects within decaying isotropic turbulence and homogeneous turbulent shear flow have been studied using direct numerical simulation. The objective of this work is to increase our understanding of compressible turbulence and to aid the development of turbulence models for compressible flows. The numerical simulations of compressible isotropic turbulence show that compressibility effects are highly dependent on the initial conditions. The shear flow simulations, on the other hand, show that measures of compressibility evolve to become independent of their initial values and are parameterized by the root mean square Mach number. The growth rate of the turbulence in compressible homogeneous shear flow is reduced compared to that in the incompressible case. The reduced growth rate is the result of an increase in the dissipation rate and energy transfer to internal energy by the pressure–dilatation correlation. Examination of the structure of compressible homogeneous shear flow reveals the presence of eddy shocklets, which are important for the increased dissipation rate of compressible turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 256 , November 1993 , pp. 443 - 485
Copyright
© 1993 Cambridge University Press

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