Influence of rotation on cascade processes in helical turbulence
DOI:
https://doi.org/10.7242/1999-6691/2012.5.2.23Keywords:
helical turbulence, shell models, Coriolis forceAbstract
The paper discusses various ways of describing the action of the Coriolis force in the framework of shell models for developed helical turbulence. The influence of rotation on the process of spectral energy and helicity transfer in turbulent flow is studied. It is shown that the rotation slows down the transfer cascade, thereby reducing the rate of decay of turbulence and leads to steeper spectra.
Downloads
References
Zeman O. A note on the spectra and decay of rotating homogeneous turbulence // Phys. Fluids. - 1994. - V. 6, N. 10. - P. 3221-3223. DOI
Zhou Y. A phenomenological treatment of rotating turbulence // Phys. Fluids. - 1995. - V. 7, N. 8. - P. 2092-2094. DOI
Mueller W.-C., Thiele M. Scaling and energy transfer in rotating turbulence // Europhys. Lett. - 2007. - V. 77, N. 3. - 34003. DOI
Baroud C.N., Plapp B.B., She Z.-S., Swinney H.L. Anomalous self-similarity in a turbulent rapidly rotating fluid // Phys. Rev. Lett. - 2002. - V. 88, N.11. - 114501. DOI
Chen Q., Chen S., Eyink G.L., Holm D. Intermittency in the joint cascade of energy and helicity // Phys. Rev. Lett. - 2003. - V. 90, N. 21. - 214503. DOI
Stepanov R.A., Frik P.G., Sestakov A.V., O spektral’nyh svojstvah spiral’noj turbulentnosti // MZG. - 2009. - No 5. - S. 33-44.
Teitelbaum T., Mininni P.D. Effect of helicity and rotation on the free decay of turbulent flows // Phys. Rev. Lett. - 2009. - V. 103, N. 1. - 014501. DOI
Mininni P.D., Pouquet A. Helicity cascades in rotating turbulence // Phys. Rev. E. - 2009. - V. 79, N. 2. - P. 026304. DOI
Frik P.G. Turbulentnost’: podhody i modeli. - M.-Izevsk: NIC <>, 2010. - 332 s.
Reshetnyak M. The shell model approach to the rapidly rotating liquid bodies // Proc. of the 5th Int. Conf. ’’Problems of the Geocosmos’’, St. Petersburg, Petrodvorets, Russia, May 24-28, 2004. - P. 311-314.
Hattori Y., Rubinstein R., Ishizawa A. Shell model for rotating turbulence // Phys. Rev. E. - 2004. - V. 70, N. 4. - 046311. DOI
Stepanov R.A., Frik P.G., Sestakov A.V. Kaskadnye modeli turbulentnosti vo vrasausejsa zidkosti // Gidrodinamika. - Perm’: Izd-vo PGU, 2005. - Vyp. 15. - C. 159-170.
Chakraborty S., Jensen M.H., Sarkar A. On two-dimensialization of three-dimensional turbulence in shell models // Eur. Phys. J. B. - 2010. - V. 73, N. 3. - P. 447-453. DOI
Gledzer E.B. Effekty vrasenia i spiral’nosti v kaskadnyh modelah turbulentnosti // DAN. - 2008. - T. 419, No 4. - S. 488-492.
Melander M.V. Helicity caused chaos in a shell model of turbulence // Phys. Rev. Lett. - 1997. - V. 78, N. 8. - P. 1456-1459. DOI
Plunian F., Stepanov R. Cascades and dissipation ratio in rotating magnetohydrodynamic turbulence at low magnetic Prandtl number // Phys. Rev. E. - 2010. - V. 82, N. 4. - 046311. DOI
Lessinnes T., Plunian F., Stepanov R., Carati D. Dissipation scales of kinetic helicities in turbulence // Phys. Fluids. - 2011. - V. 23, N. 3. - 035108. DOI
Resetnak M.U. Ocenka turbulentnoj vazkosti zidkogo adra Zemli // DAN. - 2005. - T. 400, No 1, - S. 105-109.
Stepanov R.A., Frik P.G., Sokolov D.D. Soprazenie uravnenij dinamo srednih polej i kaskadnoj modeli turbulentnosti na primere zadaci galakticeskogo dinamo // Vycisl. meh. splos. sred. - 2008. - T. 1, No 4. - C. 97-108.
Downloads
Published
Issue
Section
License
Copyright (c) 2012 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.