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Original Articles

Decay and growth laws in homogeneous shear turbulence

, , &
Pages 699-726 | Received 22 Feb 2016, Accepted 13 May 2016, Published online: 21 Jun 2016

References

  • Kolmogorov AN. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl Akad Nauk SSSR. 1941;18:301.
  • Sagaut P, Cambon C. Homogeneous turbulence dynamics. New York (NY): Cambridge University Press; 2008.
  • Launder BE, Reece GJ, Rodi W. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. J Fluid Mech. 1975;68:537–566.
  • Shih TH, Lumley JL. Modeling of pressure correlation terms in Reynolds stress and scalar flux equations. Tech. Rep. FDA-85-3, Ithaca (NY): Cornell University; 1985.
  • Sarkar S, Speziale CG. A simple nonlinear model for the return to isotropy in turbulence. Phys Fluids A. 1990;2:84–93.
  • Speziale CG, Sarkar S, Gatski TB. Modeling the pressure-strain correlation of turbulence - an invariant dynamical systems approach. J. Fluid Mech. 1991;227:245–272.
  • Warrior H, Mathews S, Maity S, et al. An improved model for the return to isotropy of homogeneous turbulence. J Fluids Eng. 2014;136:034501.
  • Corrsin S. The decay of isotropic temperature fluctuations in an isotropic turbulence. J Aero Sci. 1951;18:417–423.
  • Comte-Bellot G, Corrsin S. The use of a contraction to improve the isotropy of a grid generated turbulence. J Fluid Mech. 196;25:657–682.
  • George WK. The decay of homogeneous isotropic turbulence. Phys Fluids A. 1992;4:1492–1509.
  • Meldi M, Sagaut P. On non-self-similar regimes in homogeneous isotropic turbulence decay. J Fluid Mech. 2012;711:364–393.
  • Meldi M, Sagaut P. Further insights into self-similarity and self-preservation in freely decaying isotropic turbulence. J Turb. 2013;14:24–53.
  • Briard A, Gomez T, Sagaut P, et al. Passive scalar decay laws in isotropic turbulence: Prandtl number effects. J Fluid Mech. 2015;784:274–303.
  • Chasnov JR. The decay of axisymmetric homogeneous turbulence. Phys Fluids. 1995;7:600–605.
  • Davidson PA, Okamoto N, Kaneda Y. On freely decaying, anisotropic, axisymmetric Saffman turbulence. J Fluid Mech. 2012;706:150–172.
  • Mons V, Meldi M, Sagaut P. Numerical investigation on the partial return to isotropy of freely decaying homogeneous axisymmetric turbulence. Phys Fluids. 2014;26:025110.
  • Tavoularis S, Corrsin S. Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. Part 1. J Fluid Mech. 1981;104:311–347.
  • Tavoularis S, Karnik U. Further experiments on the evolution of turbulent stresses and scales in uniformly sheared turbulence. J Fluid Mech. 1989;204:457–478.
  • Souza FAD, Nguyen VD, Tavoularis S. The structure of highly sheared turbulence. J Fluid Mech. 1995;303:155–167.
  • Pumir A, Shraiman BI. Persistent small scale anisotropy in homogeneous shear flows. Phys Rev Lett 1995;75:3114–3117.
  • Pumir A. Turbulence in homogeneous shear flows. Phys Fluids. 1996;8:3112–3127.
  • Gualtieri P, Casciola CM, Benzi GAR, et al. Scaling laws and intermittency in homogeneous shear flow. Phys Fluids. 2002;14:583–596.
  • Brethouwer G. The effect of rotation on rapidly sheared homogeneous turbulence and passive scalar transport. Linear theory and direct numerical simulation. J Fluid Mech. 2005;542:305–342.
  • Tavoularis S. Asymptotic laws for transversely homogeneous turbulent shear flows. Phys Fluids. 1985;28:999–1001.
  • George WK, Gibson MM. The self-preservation of homogeneous shear flow turbulence. Exp Fluids. 1992;13:229–238.
  • Sukheswalla P, Vaithianathan T, Collins LR. Simulation of homogeneous turbulent shear flows at higher Reynolds numbers: numerical challenges and a remedy. J Turb. 2013;14:60–97.
  • Shirani E, Ferziger JH, Reynolds WC. Mixing of a passive scalar in isotropic and sheared homogeneous turbulence. Tech Rep. NASA-CR-164938 Tf-15. Stanford (CA): Department of Mechanical Engineering, Stanford University; 1981.
  • Lee MJ, Kim J, Moin P. Structure of turbulence at high shear rate. J Fluid Mech. 1990;216:561–583.
  • Ferchichi M, Tavoularis S. Scalar probability density function and fine structure in uniformly sheared turbulence. J Fluid Mech. 2002;461:155–182.
  • Schumacher J. Relation between shear parameter and Reynolds number in statistically stationary turbulent shear flows. Phys Fluids. 2004;16:3094–3102.
  • Isaza JC, Collins LR. On the asymptotic behaviour of large-scale turbulence in homogeneous shear flow. J Fluid Mech. 2009;367:213–239.
  • Cambon C, Jeandel D, Mathieu J. Spectral modelling of homogeneous non-isotropic turbulence. J Fluid Mech. 1981;104:247–262.
  • Mons V, Cambon C, Sagaut P. A spectral model for homogeneous shear-driven anisotropic turbulence in terms of spherically-averaged descriptors. J Fluid Mech. 2016;788:147–182.
  • Cambon C, Rubinstein R. Anisotropic developments for homogeneous shear flows. Phys Fluids 2006;18:085106.
  • Lesieur M. Turbulence in fluids. 4th ed. Fluid Mechanics and its applications. Vol. 84. Dordrecht: Springer; 2008.
  • Bos WJT, Bertoglio JP. Inertial range scaling of scalar flux spectra in uniformly sheared turbulence. Phys Fluids. 2007;19:025104.
  • Cambon C, Danaila L, Godeferd F, et al. Third-order statistics and the dynamics of strongly anisotropic turbulent flows. J Turb. 2013;14:121–160.
  • Weinstock J. Analytical theory of homogeneous mean shear turbulence. J Fluid Mech. 2013;727:256–281.
  • Pope SB. Turbulent flows. Cambridge: Cambridge University Press; 2000.
  • Eyink GL, Thomson DJ. Free decay of turbulence and breakdown of self-similarity. Phys Fluids. 2000;12:477–479.
  • Lesieur M, Ossia S. 3D isotropic turbulence at very high Reynolds numbers: EDQNM study. J Turb. 2000;1:1–25.
  • Lumley JL. Similarity and the turbulent energy spectrum. Phys Fluids. 1967;10:855–858.
  • Ishihara T, Yoshida K, Kaneda Y. Anisotropic velocity correlation spectrum at small scales in a homogeneous turbulent shear flow. Phys Rev Lett. 2002;88:154501.
  • Briard A, Gomez T, Cambon C. Spectral modelling for passive scalar dynamics in homogeneous anisotropic turbulence. J Fluid Mech. Forthcoming 2016.
  • Clark TT, Zemach C. A spectral model applied to homogeneous turbulence. Phys Fluids. 1995;7:1674–1694.
  • Shen X, Warhaft Z. The anisotropy of the small scale structure in high Reynolds number (Rλ ∼ 1000) turbulent shear flow. Phys Fluids. 2000;12:2976–2989.
  • Piquet J. Turbulent flows. New York (NY): Springer; 2001.
  • Schumacher J, Sreenivasan KR, Yeung PK. Derivative moments in turbulent shear flows. Phys Fluids. 2003;15:84–90.
  • Cambon C, Jacquin L. Spectral approach to non-isotropic turbulence subjected to rotation. J Fluid Mech. 1989;202:295–317.

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