References
- Kolmogorov AN. The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Proc Math Phys Sci. 1941;30:301.
- Grant HL, Stewart RW, Moilliet A. Turbulence spectra from a tidal channel. J Fluid Mech. 1962;12(2):241–268. doi: 10.1017/S002211206200018X
- Ishihara T, Gotoh T, Kaneda Y. Study of high–Reynolds number isotropic turbulence by direct numerical simulation. Ann Rev Fluid Mech. 2009;41:165–180. doi: 10.1146/annurev.fluid.010908.165203
- Frisch U. Turbulence. The legacy of A. N. Kolmogorov. Cambridge: Cambridge University Press; 1995.
- Vassilicos JC. Dissipation in turbulent flows. Ann Rev Fluid Mech. 2015;47:95–114. doi: 10.1146/annurev-fluid-010814-014637
- Bos WJT, Rubinstein R. Dissipation in unsteady turbulence. Phys Rev Fluids. 2017;2:022601. doi: 10.1103/PhysRevFluids.2.022601
- Brachet ME, Meneguzzi M, Vincent A, et al. Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows. Phys Fluids A Fluid Dyn. 1992;4(12):2845–2854. doi: 10.1063/1.858513
- Cichowlas C, Brachet ME. Evolution of complex singularities in Kida–Pelz and Taylor–Green inviscid flows. Fluid Dyn Res. 2005;36(4–6):239. doi: 10.1016/j.fluiddyn.2004.09.005
- Connaughton C, Nazarenko S. Warm cascades and anomalous scaling in a diffusion model of turbulence. Phys Rev Lett. 2004;92(4):044501. doi: 10.1103/PhysRevLett.92.044501
- Bos WJT, Connaughton C, Godeferd F. Developing homogeneous isotropic turbulence. Phys D Nonlinear Phenomena. 2012;241(3):232–236. doi: 10.1016/j.physd.2011.02.005
- Galtier S, Nazarenko SV, Newell AC, et al. A weak turbulence theory for incompressible magnetohydrodynamics. J Plasma Phys. 2000;63(5):447–488. doi: 10.1017/S0022377899008284
- Connaughton C, Newell AC, Pomeau Y. Non-stationary spectra of local wave turbulence. Phys D Nonlinear Phenomena. 2003;184(1–4):64–85. doi: 10.1016/S0167-2789(03)00213-6
- Thalabard S, Nazarenko S, Galtier S, et al. Anomalous spectral laws in differential models of turbulence. J Phys A Math Theor. 2015;48(28):285501. doi: 10.1088/1751-8113/48/28/285501
- Constantin P, Majda A. The Beltrami spectrum for incompressible fluid flows. Commun Math Phys. 1988;115:435–456. doi: 10.1007/BF01218019
- Cambon C, Jacquin L. Spectral approach to non-isotropic turbulence subjected to rotation. J Fluid Mech. 1989;202:295–317. doi: 10.1017/S0022112089001199
- Waleffe F. The nature of triad interactions in homogeneous turbulence. Phys Fluids A. 1992;4(2):350–363. doi: 10.1063/1.858309
- Alexakis A. Helically decomposed turbulence. J Fluid Mech. 2017;812:752–770. doi: 10.1017/jfm.2016.831
- Briard A, Biferale L, Gomez T. Closure theory for the split energy-helicity cascades in homogeneous isotropic homochiral turbulence. Phys Rev Fluids. 2017;2(10):102602. doi: 10.1103/PhysRevFluids.2.102602
- Fang L, Shao L, Bertoglio JP, et al. An improved velocity increment model based on Kolmogorov equation of filtered velocity. Phys Fluids. 2009;21(6):065108. doi: 10.1063/1.3153911
- Rogallo RS. Numerical experiments in homogeneous turbulence. NASA TM 81315. 1981.
- Verma MK, Ayyer A, Debliquy O, et al. Local shell-to-shell energy transfer via nonlocal interactions in fluid turbulence. Pramana. 2005;65(2):297. doi: 10.1007/BF02898618
- Alexakis A, Mininni PD, Pouquet A. Imprint of large-scale flows on turbulence. Phys. Rev. Lett.. 2005;95(26):264503. doi: 10.1103/PhysRevLett.95.264503
- Orszag SA. Analytical theories of turbulence. J Fluid Mech. 1970;41(2):363–386. doi: 10.1017/S0022112070000642
- Lesieur M. Turbulence in Fluids. Dordrecht: Kluwer Academic; 1997.
- Leith CE. Diffusion approximation to inertial energy transfer in isotropic turbulence. Phys Fluids. 1967;10:1409–1416. doi: 10.1063/1.1762300
- Heisenberg W. Zur statistischen theorie der turbulenz. Z Phys. 1948;124:628–657. doi: 10.1007/BF01668899
- Clark TT, Rubinstein R, Weinstock J. Reassessment of the classical turbulence closures: the Leith diffusion model. J Turbulence. ;():.
- Rubinstein R, Clark TT. A generalized Heisenberg model for turbulent spectral dynamics. Theor Comput Fluid Dyn. 2004;17(4):249–272. doi: 10.1007/s00162-004-0104-x