References
- Taylor GI. Statistical theory of turbulence. Proc R Soc London Ser A, Math Phys Sci. 1935;151:421–444.
- Rubinstein R, Clark TT. ‘Equilibrium’ and ‘non-equilibrium’ turbulence. Theoretical Appl Mech Lett. 2017;7:301–305.
- Sreenivasan KR. On the scaling of the turbulence energy dissipation rate. Phys Fluids. 1984;27:1048.
- Pearson BR, Krogstad PA, van de Water W. Measurements of the turbulent energy dissipation rate. Phys Fluids. 2002;14:1288.
- Burattini P, Lavoie P, Antonia RA. On the normalised turbulent energy dissipation rate. Phys Fluids. 2005;17:098103.
- Bos WJT, Shao L, Bertoglio JP. Spectral imbalance and the normalised dissipation rate of turbulence. Phys Fluids. 2007;19:045101.
- Goto S, Vassilicos JC. The dissipation rate coefficient of turbulence is not universal and depends on the internal stagnation point structure. Phys Fluids. 2009;21:035104.
- Seoud RE, Vassilicos JC. Dissipation and decay of fractal-generated turbulence. Phys Fluids. 2007;19:105108.
- Valente PC, Vassilicos JC. Universal dissipation scaling for nonequilibrium turbulence. Phys Rev Lett. 2012;108:214503.
- Hearst RJ, Lavoie P. Decay of turbulence generated by a square-fractal-element grid. J Fluid Mech. 2014;741:567–584.
- Goto S, Vassilicos JC. Energy dissipation and flux laws for unsteady turbulence. Phys Lett A. 2015;379:1144–1148.
- Meldi M, Sagaut P. Investigation of anomalous very fast decay regimes in homogeneous isotropic turbulence. J Turbulence. 2018;19:390–413.
- Bos WJT, Rubinstein R. Dissipation in unsteady turbulence. Phys Rev Fluids. 2017;2:022601.
- Yoshizawa A. Nonequilibrium effect of the turbulent-energy-production process on the inertial-range energy spectrum. Phys Rev E. 1994;49:4065.
- Bos WJT. Production and dissipation of kinetic energy in grid turbulence. Phys Rev Fluids. 2020;5:104607.
- Goto S, Vassilicos J. Unsteady turbulence cascades. Phys Rev E. 2016;94:053108.
- Liu F, Lu L, Bos WJ, et al. Assessing the nonequilibrium of decaying turbulence with reversed initial fields. Phys Rev Fluids. 2019;4:084603.
- Rubinstein R, Clark T, Livescu D, et al. Time-dependent isotropic turbulence. J Turbul. 2004;5:011.
- Horiuti K, Tamaki T. Nonequilibrium energy spectrum in the subgrid-scale one-equation model in large-eddy simulation. Phys Fluids. 2013;25:125104.
- Araki R, Bos WJT. Inertial range scaling of inhomogeneous turbulence. preprint arXiv:2210.14516, 2022.
- Lohse D. Periodically kicked turbulence. Phys Rev E. 2000;62:4946.
- Kuczaj AK, Geurts BJ, Lohse D. Response maxima in time-modulated turbulence: direct numerical simulations. Europhys Lett. 2006;73:851.
- Bos WJT, Clark T, Rubinstein R. Small scale response and modeling of periodically forced turbulence. Phys Fluids. 2007;19:055107.
- Orszag SA. Lectures on the statistical theory of turbulence.New York : Flow Research Inc.; 1974.
- Carati D, Winckelmans G, Jeanmart H. On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation. J Fluid Mech. 2001;441:119.
- Fang L, Bos WJT, Shao L, et al. Time reversibility of Navier-Stokes turbulence and its implication for subgrid scale models. J Turbul. 2012;13:N3.
- Liu F, Fang L, Fang J. Non-equilibrium turbulent phenomena in transitional flat plate boundary-layer flows. Appl Math Mech. 2021;42:567–582.
- Zhao H, Liu Y, Shao L, et al. Existence of positive skewness of velocity gradient in early transition. Phys Rev Fluids. 2021;6:104608.
- Lumley J. Similarity and the turbulent energy spectrum. Phys Fluids. 1967;10:855.
- Orszag SA. Analytical theories of turbulence. J Fluid Mech. 1970;41:363.
- André J, Lesieur M. Influence of helicity on the evolution of isotropic turbulence at high Reynolds number. J Fluid Mech. 1977;81:187.
- Lesieur M, Schertzer D. Amortissement auto-similaire d'une turbulence à grand nombre de Reynolds. J Mécanique. 1978;17:609–646.
- Leslie D. Developments in the theory of turbulence. Oxford: Oxford University Press; 1973.
- Pouquet A, Lesieur M, André J, et al. Evolution of high Reynolds number two-dimensional turbulence. J Fluid Mech. 1975;72:305–319.
- Leith C. Atmospheric predictability and two-dimensional turbulence. J Atmos Sci. 1971;28:145–161.
- Cekli H, Tipton C, van de Water W. Resonant enhancement of turbulent energy dissipation. Phys Rev Lett. 2010;105:044503.
- Schiestel R. Multiple-time-scale modeling of turbulent flows in one-point closures. Phys Fluids. 1987;30:722.
- Cadiou A, Hanjalić K, Stawiarski K. A two-scale second-moment turbulence closure based on weighted spectrum integration. Theoretical Comput Fluid Dyn. 2004;18:1–26.
- Lesieur M. Turbulence in fluids. Dordrecht: Kluwer Dordrecht; 1990.
- Sagaut P, Cambon C. Homogeneous turbulence dynamics. Cambridge: Cambridge University Press; 2008.