Skip to main content
Article thumbnail
Location of Repository

The effect of compressibility on turbulent shear flow: a rapid-distortion-theory and direct-numerical-simulation study

By A. Simone, G.N. Coleman and C. Cambon

Abstract

The influence of compressibility upon the structure of homogeneous sheared turbulence is investigated. For the case in which the rate of shear is much larger than the rate of nonlinear interactions of the turbulence, the modification caused by compressibility to the amplification of turbulent kinetic energy by the mean shear is found to be primarily reflected in pressure-strain correlations and related to the anisotropy of the Reynolds stress tensor, rather than in explicit dilatational terms such as the pressure- dilatation correlation or the dilatational dissipation. The central role of a `distortion Mach number' Md = S?=a, where S is the mean strain or shear rate, ? a lengthscale of energetic structures, and a the sonic speed, is demonstrated. This parameter has appeared in previous rapid-distortion-theory (RDT) and direct-numerical-simulation (DNS) studies; in order to generalize the previous analyses, the quasi-isentropic compressible RDT equations are numerically solved for homogeneous turbulence subjected to spherical (isotropic) compression, one-dimensional (axial) compression and pure shear. For pure-shear flow at finite Mach number, the RDT results display qualitatively different behaviour at large and small non-dimensional times St: when St < 4 the kinetic energy growth rate increases as the distortion Mach number increases; for St > 4 the inverse occurs, which is consistent with the frequently observed tendency for compressibility to stabilize a turbulent shear flow. This `crossover' behaviour, which is not present when the mean distortion is irrotational, is due to the kinematic distortion and the mean-shear-induced linear coupling of the dilatational and solenoidal fields. The relevance of the RDT is illustrated by comparison to the recent DNS results of Sarkar (1995), as well as new DNS data, both of which were obtained by solving the fully nonlinear compressible Navier-Stokes equations. The linear quasi-isentropic RDT and nonlinear non-isentropic DNS solutions are in good general agreement over a wide range of parameters; this agreement gives new insight into the stabilizing and destabilizing effects of compressibility, and reveals the extent to which linear processes are responsible for modifying the structure of compressible turbulence

Topics: TL
Year: 1997
OAI identifier: oai:eprints.soton.ac.uk:71969
Provided by: e-Prints Soton

Suggested articles

Citations

  1. (1954). The eect of rapid distortion of a fluid in turbulent motion. doi
  2. (1992). Etude exp erimentale et th eorique d'une turbulence homog ene soumise a des eets coupl es de rotation et de d eformation. Th ese de Doctorat, Universit e Claude Bernard Lyon I,
  3. (1996). Rapid distortion theory for compressible homogeneous turbulence under isotropic mean strain. doi
  4. (1993). Compressibility eects on the growth and structure of homogeneous turbulent shear flow. doi
  5. (1977). Compressible turbulent shear layers. doi
  6. (1982). Etude spectrale d'un champ turbulent incompressible soumis a des eets coupl es de d eformation et de rotation impos es ext erieurement. Th ese d' Etat, Universit e Claude Bernard Lyon I,
  7. (1994). Stability analysis and large eddy simulation of rotating turbulence with organized eddies. doi
  8. (1993). Rapid distortion analysis and direct simulation of compressible homogeneous turbulence at Mach number. doi
  9. (1985). Etude d'eets coupl es de d eformation et de rotation sur une turbulence homog ene.
  10. (1992). Rapid distortion theory for homogeneous compressed turbulence with application to modelling. J.Fluid Mech. doi
  11. (1977). A critical compilation of compressible turbulent boundary layer data. AGARDograph 223.
  12. (1980). A critical commentary on mean flow data for two-dimensional compressible turbulent boundary layers. AGARDograph 253.
  13. (1989). A survey of measurements and measuring techniques in rapidly distorted compressible turbulent boundary layers. AGARDograph 315.
  14. (1993). Compressible turbulence. Lehrstuhl f¨ ur Fluidmechanik,
  15. (1996). Compressibility eects due to turbulent fluctuations. doi
  16. (1978). Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. doi
  17. (1995). Compressible turbulent channel flows: DNS results and modelling. doi
  18. (1993). Turbulence ampli by a shock wave and rapid distortion theory. doi
  19. (1996). Nonlinear interactions in turbulence with strong irrotational straining. doi
  20. (1953). Turbulence in supersonic flow. doi
  21. (1993). Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. doi
  22. (1994). Compressibility eects on turbulence. doi
  23. (1988). Etude spectrale d'une turbulence isotrope compressible. Th ese de Doctorat, Ecole Centrale de
  24. (1971). Statistical Fluid Mechanics: Mechanics of Turbulence. doi
  25. (1981). Numerical experiments in homogeneous turbulence.
  26. (1991). The structure of a passive scalar with a uniform mean gradient in rapidly sheared homogeneous turbulent flow. doi
  27. (1996). A new analysis of rotating shear flows using linear approach and DNS-LES results. doi
  28. (1991). Three-dimensional simulations of large eddies in the compressible mixing layer. doi
  29. (1995). The stabilizing eect of compressibility in turbulent shear flow. doi
  30. 1991a Direct simulation of compressible turbulence in a shear flow. Theoret.Comput.Fluid Dyn. doi
  31. (1991). The analysis and modelling of dilatational terms in compressible turbulence. doi
  32. (1991). Hypersonic shock/boundary layer interaction database. doi
  33. (1995). Etude th eorique et simulation num erique de la turbulence compressible en pr esence de cisaillement ou de variation de volume a grande echelle. Th ese de Doctorat, Ecole Centrale de
  34. (1995). Revisiting compressible homogeneous shear flow at Mach number by means of rapid distortion theory. doi
  35. (1995). Rapid distortion and direct numerical approach to compressibility in turbulent shear flow. Tenth Symp. on Turbulent Shear Flows, Penn. State U., doi
  36. (1995). Evaluation of Reynolds stress turbulence closures in compressible homogeneous shear flow. doi
  37. (1994). Supersonic turbulent boundary layers. doi
  38. (1996). Evaluation of the dynamic model for simulations of compressible decaying isotropic turbulence. doi
  39. (1981). Experiments in nearly homogeneous turbulent shear flow with a uniform mean gradient temperature. Part I. doi
  40. (1976). The Structure of Homogeneous Turbulence.
  41. (1996). Compressible mixing layer growth rate and turbulence characteristics. doi
  42. (1990). Dilatation dissipation: The concept and application in modelling compressible mixing layers. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.