]. A. Kolmogorov, The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.434, issue.1890, p.301, 1941.
DOI : 10.1098/rspa.1991.0075

P. Sagaut and C. , Cambon Homogeneous Turbulence Dynamics, 2008.
DOI : 10.1017/cbo9780511546099

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.461.3658

B. E. Launder, G. J. Reece, and W. Rodi, Progress in the development of a Reynolds-stress turbulence closure, Journal of Fluid Mechanics, vol.61, issue.03, p.537, 1975.
DOI : 10.1063/1.1694422

T. H. Shih and J. L. Lumley, Modeling of pressure correlation terms in Reynolds stress and scalar flux equations, 1985.

S. Sarkar and C. G. Speziale, A simple nonlinear model for the return to isotropy in turbulence, Physics of Fluids A: Fluid Dynamics, vol.2, issue.1, p.84, 1990.
DOI : 10.1063/1.857694

C. G. Speziale, S. Sarkar, and T. B. Gatski, Modelling the pressure???strain correlation of turbulence: an invariant dynamical systems approach, Journal of Fluid Mechanics, vol.45, issue.-1, pp.245-272, 1991.
DOI : 10.1063/1.857575

H. Warrior, S. Mathews, S. Maity, and K. Sasmal, An Improved Model for the Return to Isotropy of Homogeneous Turbulence, Journal of Fluids Engineering, vol.136, issue.3, p.34501, 2014.
DOI : 10.1115/1.4026236

S. Corrsin, The Decay of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of the Aeronautical Sciences, vol.18, issue.6, p.417, 1951.
DOI : 10.2514/8.1982

G. Comte-bellot and S. Corrsin, The use of a contraction to improve the isotropy of grid-generated turbulence, Journal of Fluid Mechanics, vol.251, issue.04, p.657, 1966.
DOI : 10.1175/1520-0469(1963)020 2.0.CO;2

W. K. George, The decay of homogeneous isotropic turbulence, Physics of Fluids A: Fluid Dynamics, vol.4, issue.7, pp.1492-1509, 1992.
DOI : 10.1063/1.858423

M. Meldi and P. Sagaut, On non-self-similar regimes in homogeneous isotropic turbulence decay, Journal of Fluid Mechanics, vol.17, pp.364-393, 2012.
DOI : 10.1063/1.3614479

URL : https://hal.archives-ouvertes.fr/hal-01298925

M. Meldi and P. Sagaut, Further insights into self-similarity and self-preservation in freely decaying isotropic turbulence, Journal of Turbulence, vol.17, issue.4, pp.24-53, 2013.
DOI : 10.1063/1.868366

URL : https://hal.archives-ouvertes.fr/hal-01298937

A. Briard, T. Gomez, P. Sagaut, and S. Memari, Passive scalar decay laws in isotropic turbulence: Prandtl number effects, Journal of Fluid Mechanics, vol.18, pp.274-303, 2015.
DOI : 10.1007/s00348-002-0443-6

URL : https://hal.archives-ouvertes.fr/hal-01429641

J. R. Chasnov, The decay of axisymmetric homogeneous turbulence, Physics of Fluids, vol.7, issue.3, pp.600-605, 1995.
DOI : 10.1063/1.868584

P. A. Davidson, N. Okamoto, and Y. Kaneda, On freely decaying, anisotropic, axisymmetric Saffman turbulence, Journal of Fluid Mechanics, vol.706, pp.150-172, 2012.
DOI : 10.1017/S0022112010003496

V. Mons, M. Meldi, and P. Sagaut, Numerical investigation on the partial return to isotropy of freely decaying homogeneous axisymmetric turbulence, Physics of Fluids, vol.26, issue.2, p.25110, 2014.
DOI : 10.1063/1.4864655

URL : https://hal.archives-ouvertes.fr/hal-01298945

S. Tavoularis and S. Corrsin, Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. Part 1, Journal of Fluid Mechanics, vol.23, issue.-1, pp.311-347, 1981.
DOI : 10.1063/1.1701952

S. Tavoularis and U. Karnik, Further experiments on the evolution of turbulent stresses and scales in uniformly sheared turbulence, Journal of Fluid Mechanics, vol.17, issue.-1, pp.457-478, 1989.
DOI : 10.1063/1.1693165

F. A. Souza, V. D. Nguyen, and S. Tavoularis, The structure of highly sheared turbulence, Journal of Fluid Mechanics, vol.237, issue.-1, pp.155-167, 1995.
DOI : 10.1063/1.865019

A. Pumir and B. I. Shraiman, Persistent Small Scale Anisotropy in Homogeneous Shear Flows, Physical Review Letters, vol.75, issue.17, pp.3114-3117, 1995.
DOI : 10.1103/PhysRevLett.75.3114

A. Pumir, Turbulence in homogeneous shear flows, Physics of Fluids, vol.8, issue.11, pp.3112-3127, 1996.
DOI : 10.1063/1.869100

P. Gualtieri, C. M. Casciola, G. A. Benzi, and R. Piva, Scaling laws and intermittency in homogeneous shear flow, Physics of Fluids, vol.14, issue.2, pp.583-596, 2002.
DOI : 10.1063/1.1427919

URL : http://arxiv.org/abs/nlin/0011040

G. Brethouwer, The effect of rotation on rapidly sheared homogeneous turbulence and passive scalar transport. Linear theory and direct numerical simulation, Journal of Fluid Mechanics, vol.542, issue.-1, pp.305-342, 2005.
DOI : 10.1017/S0022112005006427

W. K. George and M. M. Gibson, The self-preservation of homogeneous shear flow turbulence, Experiments in Fluids, vol.13, issue.4, pp.229-238, 1992.
DOI : 10.1007/BF00189015

S. Tavoularis, Asymptotic laws for transversely homogeneous turbulent shear flows, Physics of Fluids, vol.28, issue.3, pp.999-1001, 1985.
DOI : 10.1063/1.865019

C. Cambon, D. Jeandel, and J. Mathieu, Spectral modelling of homogeneous non-isotropic turbulence, Journal of Fluid Mechanics, vol.48, issue.-1, pp.247-262, 1981.
DOI : 10.1017/S0022112072002873

V. Mons, C. Cambon, and P. Sagaut, A spectral model for homogeneous shear-driven anisotropic turbulence in terms of spherically averaged descriptors, Journal of Fluid Mechanics, vol.18, pp.147-182, 2016.
DOI : 10.1146/annurev.fl.15.010183.001221

URL : https://hal.archives-ouvertes.fr/hal-01298951

C. Cambon and R. Rubinstein, Anisotropic developments for homogeneous shear flows, Physics of Fluids, vol.18, issue.8, p.85106, 2006.
DOI : 10.1063/1.2265012

URL : https://hal.archives-ouvertes.fr/hal-00274852

W. J. Bos and J. P. Bertoglio, Inertial range scaling of scalar flux spectra in uniformly sheared turbulence, Physics of Fluids, vol.19, issue.2, p.25104, 2007.
DOI : 10.1063/1.2565563

URL : https://hal.archives-ouvertes.fr/hal-00199115

C. Cambon, L. Danaila, F. Godeferd, and J. Scott, Third-order statistics and the dynamics of strongly anisotropic turbulent flows, Journal of Turbulence, vol.61, issue.5, pp.121-160, 2013.
DOI : 10.1017/S0022112097006599

URL : https://hal.archives-ouvertes.fr/hal-00931420

J. Weinstock, Analytical theory of homogeneous mean shear turbulence, J. Fluid Mech, vol.727, pp.256-281, 2013.

G. L. Eyink and D. J. Thomson, Free decay of turbulence and breakdown of self-similarity, Physics of Fluids, vol.12, issue.3, pp.477-479, 2000.
DOI : 10.1063/1.870279

M. Lesieur and S. Ossia, 3D isotropic turbulence at very high Reynolds numbers: EDQNM study, Journal of Turbulence, vol.17, pp.1-25, 2000.
DOI : 10.1063/1.868255

J. L. Lumley, Similarity and the Turbulent Energy Spectrum, Physics of Fluids, vol.10, issue.4, pp.855-858, 1967.
DOI : 10.1063/1.1762200

T. Ishihara, K. Yoshida, and Y. Kaneda, Anisotropic Velocity Correlation Spectrum at Small Scales in a Homogeneous Turbulent Shear Flow, Physical Review Letters, vol.88, issue.15, p.154501, 2002.
DOI : 10.1103/PhysRevLett.88.154501

T. T. Clark and C. Zemach, A spectral model applied to homogeneous turbulence, Physics of Fluids, vol.7, issue.7, pp.1674-1694, 1995.
DOI : 10.1063/1.868485

X. Shen and Z. Warhaft, The anisotropy of the small scale structure in high Reynolds number (R[sub ??]???1000) turbulent shear flow, Physics of Fluids, vol.12, issue.11, pp.2976-2989, 2000.
DOI : 10.1063/1.1313552

J. C. Isaza and L. R. Collins, On the asymptotic behaviour of large-scale turbulence in homogeneous shear flow, Journal of Fluid Mechanics, vol.637, pp.213-239, 2009.
DOI : 10.1063/1.1764431

E. Shirani, J. H. Ferziger, and W. C. Reynolds, Mixing of a passive scalar in isotropic and sheared homogeneous turbulence, 1981.

M. J. Lee, J. Kim, and P. Moin, Structure of turbulence at high shear rate, Journal of Fluid Mechanics, vol.18, issue.-1, pp.561-583, 1990.
DOI : 10.1017/S0022112083000634

M. Ferchichi and S. Tavoularis, Scalar probability density function and fine structure in uniformly sheared turbulence, Journal of Fluid Mechanics, vol.461, pp.155-182, 2002.
DOI : 10.1017/S0022112002008285

J. Schumacher, Relation between shear parameter and Reynolds number in statistically stationary turbulent shear flows, Physics of Fluids, vol.16, issue.8, pp.3094-3102, 2004.
DOI : 10.1063/1.1764431

URL : http://arxiv.org/abs/nlin/0405001

P. Sukheswalla, T. Vaithianathan, and L. R. Collins, Simulation of homogeneous turbulent shear flows at higher Reynolds numbers: numerical challenges and a remedy, Journal of Turbulence, vol.589, issue.5, pp.60-97, 2013.
DOI : 10.1063/1.1328358

J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, Derivative moments in turbulent shear flows, Physics of Fluids, vol.15, issue.1
DOI : 10.1063/1.1524627

C. Cambon and L. Jacquin, Spectral approach to non-isotropic turbulence subjected to rotation, Journal of Fluid Mechanics, vol.288, issue.-1, pp.295-317, 1989.
DOI : 10.1017/S0022112081002905