Abstract
We show in direct numerical simulations of homogeneous isotropic non-stationary turbulence that there is a systematic and significant imbalance between enstrophy production and its destruction which is concomitant with the previously observed imbalance between the non-linear energy cascade to fine scales and its dissipation (Valente, Onishi, da Silva, Phys Rev E 90(023003), 2014, [12]). However, contrary to the former, the imbalance between enstrophy production and destruction is affected by the ‘cascade time-lag’, i.e. the time it takes for the energy injected on the large-scales to reach the fine-scales.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Antonia, R.A., Burattini, P.: Approach to the 4/5 law in homogeneous isotropic turbulence. J. Fluid Mech. 550, 175–184 (2006)
Bos, W.J.T., Shao, L., Bertoglio, J.-P.: Spectral imbalance and the normalized dissipation rate of turbulence. Phys. Fluids 19, 045101 (2007)
Horiuti, K., Tamaki, T.: Nonequilibrium energy spectrum in the subgrid-scale one-equation model in large-eddy simulation. Phys. Fluids 25, 12104 (2013)
Kolmogorov, A.N.: The local structure of turbulence in incompressible viscous fluid for very large reynolds numbers. Dokl. Akad. Nauk. SSSR 30(4) (1941). (Reprinted in 1991, Proc. R. Soc. Lond. 434, 9–13)
Kolmogorov, A.N.: Dissipation of energy in the locally isotropic turbulence. Dokl. Akad. Nauk. SSSR 32(1) (1941). (Reprinted in 1991, paper 47 in Selected Works of A.N. Kolmogorov, vol. I: Mathematics and Mechanics)
Kraichnan, R.: On Kolmogorov’s inertial-range theories. J. Fluid Mech. 62(2), 305–330 (1974)
Lumley, J.L.: Some comments on turbulence. Phys. Fluids A 4(2), 203–211 (1992)
Rubinstein, R., Clark, T.T., Livescu, D., Luo, L.-S.: Time-dependent isotropic turbulence. J. Turb. 5, 11 (2004)
Speziale, C.G., Bernard, P.S.: The energy decay in self-preserving isotropic turbulence revisited. J. Fluid Mech. 241, 645–667 (1992)
Tchoufag, J., Sagaut, P., Cambon, C.: Spectral approach to finite Reynolds number effects on Kolmogorov’s 4/5 law in isotropic turbulence. Phys. Fluids 24, 015107 (2012)
Tennekes, H., Lumley, J.L.: A First Course in Turbulence. MIT Press, Cambridge (1972)
Valente, P.C., Onishi, R., da Silva, C.B.: The origin of the imbalance between energy cascade and dissipation in turbulence. Phys. Rev. E 90, 023003 (2014)
Valente, P.C., Vassilicos, J.C.: Universal dissipation scaling for nonequilibrium turbulence. Phys. Rev. Lett. 108, 214503 (2012)
Valente, P.C., Vassilicos, J.C.: The energy cascade in grid-generated non-equilibrium decaying turbulence (submitted) (2014). arXiv:1307.5901
Vassilicos, J.C.: Dissipation in turbulent flows. Annu. Rev. Fluid Mech. 47, 95–114 (2015)
Yoshizawa, A.: Nonequilibrium effect of the turbulent-energy-production process on the inertial-range spectrum. Phys. Rev. E 49, 5 (1994)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Valente, P.C., Onishi, R., da Silva, C.B. (2016). The Imbalance Between Enstrophy Production and Destruction in Homogeneous Isotropic Unsteady Turbulence. In: Peinke, J., Kampers, G., Oberlack, M., Wacławczyk, M., Talamelli, A. (eds) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-319-29130-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-29130-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29129-1
Online ISBN: 978-3-319-29130-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)