Antonia R. A., Smalley R. J., Zhou T., Anselmet F. & Danaila L.
2003
Similarity of energy structure functions in decaying homogeneous isotropic turbulence. J. Fluid Mech.
487, 245–269.

Arslan T., El Khoury G. K., Pettersen B. & Andersson H. I.
2012
Simulations of flow around a three-dimensional square cylinder using LES and DNS. In The Seventh International Colloquium on Bluff Body Aerodynamics and Applications, pp. 909–918. The International Association for Wind Engineering.

Balay S., Abhyankar S., Adams M. F., Brown J., Brune P., Buschelman K., Dalcin L., Eijkhout V., Gropp W. D., Kaushik D.
et al. 2016 PETSc users manual. *Tech. Rep.* ANL-95/11 – Revision 3.7. Argonne National Laboratory.

Bearman P. W. & Obasaju E. D.
1982
An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders. J. Fluid Mech.
119, 297–321.

Benedict L. H. & Gould R. D.
1996
Towards better uncertainty estimates for turbulence statistics. Exp. Fluids
22 (2), 129–136.

Bloor M. S. & Gerrard J. H.
1966
Measurements on turbulent vortices in a cylinder wake. Proc. R. Soc. Lond. A
294 (1438), 319–342.

Braza M., Perrin R. & Hoarau Y.
2006
Turbulence properties in the cylinder wake at high Reynolds numbers. J. Fluids Struct.
22 (6–7), 757–771.

Cantwell B. J. & Coles D.
1983
An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech.
136, 321.

Castro I. P.
2016
Dissipative distinctions. J. Fluid Mech.
788, 1–4.

Champagne F. H., Harris V. G. & Corrsin S.
1970
Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech.
41 (01), 81.

Chen J. M. & Liu C. H.
1999
Vortex shedding and surface pressures on a square cylinder at incidence to a uniform air stream. Intl J. Heat Fluid Flow
20 (6), 592–597.

Danaila L., Krawczynski J. F., Thiesset F. & Renou B.
2012
Yaglom-like equation in axisymmetric anisotropic turbulence. Physica D
241 (3), 216–223.

Duchon J. & Robert R.
1999
Inertial energy dissipation for weak solutions of incompressible Euler and Navier–Stokes equations. Nonlinearity
13 (1), 249–255.

Durão D. F. G., Heitor M. V. & Pereira J. C. F.
1988
Measurements of turbulent and periodic flows around a square cross-section cylinder. Exp. Fluids
6 (5), 298–304.

Frisch U.
1995
Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press.

George W. K.
1978
Processing of random signals. In Dynamic Flow Conference on Dynamic Measurements in Unsteady Flows (ed. Hansen B. W.), pp. 757–800. Springer.

Gomes-Fernandes R., Ganapathisubramani B. & Vassilicos J. C.
2015
The energy cascade in near-field non-homogeneous non-isotropic turbulence. J. Fluid Mech.
771, 676–705.

Goto S. & Vassilicos J. C.
2015
Energy dissipation and flux laws for unsteady turbulence. Phys. Lett. A
379 (16–17), 1144–1148.

Goto S. & Vassilicos J. C.
2016
Local equilibrium hypothesis and Taylor’s dissipation law. Fluid Dyn. Res.
48 (2), 021402.

Hearst R. J. & Lavoie P.
2014
Scale-by-scale energy budget in fractal element grid-generated turbulence. J. Turbul.
15 (8), 540–554.

Hill R. J.
1997
Applicability of Kolmogorov’s and Monin’s equations of turbulence. J. Fluid Mech.
353, 67–81.

Hill R. J.
2001
Equations relating structure functions of all orders. J. Fluid Mech.
434, 379–388.

Hill R. J.
2002a
Exact second-order structure-function relationships. J. Fluid Mech.
468, 317–326.

Hill R. J.2002*b* The approach of turbulence to the locally homogeneous asymptote as studied using exact structure-function equations. arXiv:0206034, pp. 1–24.
Hu J. C., Zhou Y. & Dalton C.
2006
Effects of the corner radius on the near wake of a square prism. Exp. Fluids
40 (1), 106–118.

Issa R. I.
1986
Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys.
62 (1), 40–65.

Klebanoff P. S.1955 Characteristics of turbulence in a boundary layer with zero pressure gradient. *Tech. Rep.* 1247. National Advisory Committee for Aeronautics.

Kolmogorov A. N.
1941a
The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR
30, 301–305.

Kolmogorov A. N.
1941b
On the degeneration of isotropic turbulence in an incompressible viscous fluid. Dokl. Akad. Nauk SSSR
31, 319–323.

Kolmogorov A. N.
1941c
Dissipation of energy in the locally isotropic turbulence. Dokl. Akad. Nauk SSSR
32, 19–21.

Kraichnan R. H.
1974
On Kolmogorov’s inertial-range theories. J. Fluid Mech.
62 (02), 305.

Kravchenko A. G. & Moin P.
2000
Numerical studies of flow over a circular cylinder at *Re*
_{
D
} = 3900. Phys. Fluids
12 (2), 403.

Laizet S., Nedić J. & Vassilicos J. C.
2015
The spatial origin of - 5/3 spectra in grid-generated turbulence. Phys. Fluids
27 (6), 065115.

Laizet S., Vassilicos J. C. & Cambon C.
2013
Interscale energy transfer in decaying turbulence and vorticity–strain-rate dynamics in grid-generated turbulence. Fluid Dyn. Res.
45 (6), 061408.

Lee M. & Kim G.
2001a
A study on the near wake of a square cylinder using particle image velocimetry (I) – mean flow. Trans. Korean Soc. Mech. Engng
25 (10), 1408–1416. (in Korean).

Lee M. & Kim G.
2001b
A study on the near wake of a square cylinder using particle image velocimetry (II) – turbulence characteristics. Trans. Korean Soc. Mech. Engng
25 (10), 1417–1426 (in Korean).

Lehmkuhl O., Rodríguez I., Borrell R. & Oliva A.
2013
Low-frequency unsteadiness in the vortex formation region of a circular cylinder. Phys. Fluids
25 (8), 085109.

Lesieur M.
2008
Turbulence in Fluids, 4th edn. Springer.

Leslie D. C.
1973
Developments in the Theory of Turbulence. Clarendon Press.

Lindborg E.
1996
A note on Kolmogorov’s third-order structure-function law, the local isotropy hypothesis and the pressure–velocity correlation. J. Fluid Mech.
326, 343–356.

Lindborg E.
1999
Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence?
J. Fluid Mech.
388 (1999), 259–288; S0022112099004851.

Lumley J. L.
1965
Interpretation of time spectra measured in high-intensity shear flows. Phys. Fluids
8 (6), 1056.

Lyn D. A., Einav S., Rodi W. & Park J. H.
1995
A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder. J. Fluid Mech.
304, 285.

Ma X., Karamanos G. S. & Karniadakis G. E.
2000
Dynamics and low-dimensionality of a turbulent near wake. J. Fluid Mech.
410, 29–65.

Mathieu J. & Scott J. F.
2000
An Introduction to Turbulent Flow. Cambridge University Press.

McComb W. D.
2014
Homogeneous, Isotropic Turbulence. Oxford University Press.

Melina G., Bruce P. J. K. & Vassilicos J. C.
2016
Vortex shedding effects in grid-generated turbulence. Phys. Rev. Fluids
1 (4), 044402.

Mizota T. & Okajima A.
1981
Experimental studies of time mean flows around rectangular prisms. JSCE
312, 39–47 (in Japanese).

Nedić J., Tavoularis S. & Marusic I.
2017
Dissipation scaling in constant-pressure turbulent boundary layers. Phys. Rev. Fluids
2 (3), 032601.

Norberg C.
1993
Flow around rectangular cylinders: pressure forces and wake frequencies. J. Wind Engng Ind. Aerodyn.
49 (1–3), 187–196.

Obligado M., Dairay T. & Vassilicos J. C.
2016
Nonequilibrium scalings of turbulent wakes. Phys. Rev. Fluids
1 (4), 044409.

Obukhov A. M.
1941
On the energy distribution in the spectrum of a turbulent flow. Dokl. Akad. Nauk SSSR
32 (1), 454–466. (in Russian).

Ong L. & Wallace J.
1996
The velocity field of the turbulent very near wake of a circular cylinder. Exp. Fluids
20 (6), 441–453.

Pope S. B.
2000
Turbulent Flows. Cambridge University Press.

Rogers M. M. & Moser R. D.
1994
Direct simulation of a self-similar turbulent mixing layer. Phys. Fluids
6 (2), 903.

Sohankar A.
2006
Flow over a bluff body from moderate to high Reynolds numbers using large eddy simulation. Comput. Fluids
35 (10), 1154–1168.

Sohankar A., Norberg C. & Davidson L.
1999
Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers. Phys. Fluids
11 (2), 288.

Taylor G. I.
1935
Statistical theory of turbulence. Proc. R. Soc. Lond. A
23 (2), 421–444.

Tennekes H. & Lumley J. L.
1972
A First Course in Turbulence. MIT.

Thiesset F., Antonia R. A. & Danaila L.
2013a
Restricted scaling range models for turbulent velocity and scalar energy transfers in decaying turbulence. J. Turbul.
14 (3), 25–41.

Thiesset F., Danaila L. & Antonia R. A.
2011a
Bilans énergétiques à chaque échelle prenant en considération le mouvement cohérent. In 20ème Congrès Français de Mécanique. AFM.

Thiesset F., Danaila L. & Antonia R. A.
2013b
Dynamical effect of the total strain induced by the coherent motion on local isotropy in a wake. J. Fluid Mech.
720, 393–423.

Thiesset F., Danaila L. & Antonia R. A.
2016
Dynamical interactions between the coherent motion and small scales in a cylinder wake. J. Fluid Mech.
749, 201–226.

Thiesset F., Danaila L., Antonia R. A. & Zhou T.
2011b
Scale-by-scale energy budgets which account for the coherent motion. J. Phys.: Conf. Ser.
318 (5), 052040.

Trias F. X., Gorobets A. & Oliva A.
2015
Turbulent flow around a square cylinder at Reynolds number 22 000: a DNS study. Comput. Fluids
123 (22), 87–98.

Tsinober A.
2009
An Informal Conceptual Introduction to Turbulence, 2nd edn. Springer.

Uberoi M. S. & Freymuth P.
1969
Spectra of turbulence in wakes behind circular cylinders. Phys. Fluids
12 (7), 1359.

Valente P. C. & Vassilicos J. C.
2015
The energy cascade in grid-generated non-equilibrium decaying turbulence. Phys. Fluids
27 (4), 045103.

Vassilicos J. C.
2015
Dissipation in turbulent flows. Annu. Rev. Fluid Mech.
47 (1), 95–114.

Voke P.
1996
Flow past a square cylinder: test case LES2. In Direct and Large Eddy Simulation II, vol. 5, pp. 355–373. Springer.

Wissink J. G. & Rodi W.
2008
Numerical study of the near wake of a circular cylinder. Intl J. Heat Fluid Flow
29 (4), 1060–1070.

Wyngaard J. C. & Clifford S. F.
1977
Taylor’s hypothesis and high-frequency turbulence spectra. J. Atmos. Sci.
34 (6), 922–929.

Yasuda T. & Vassilicos J. C.2017 Inhomogeneous energy cascade in periodic turbulence (in preparation).

Zhou Y. & Antonia R. A.
1992
Convection velocity measurements in a cylinder wake. Exp. Fluids
13, 63–70.