Abstract
In this paper a procedure for large-eddy simulation (LES) has been devised for fluid and magnetohydrodynamic turbulence in Fourier space using the renormalized parameters. The parameters calculated using field theory have been taken from recent papers by Verma [1,2]. We have carried out LES on 643 grid. These results match quite well with direct numerical simulations of 1283. We show that proper choice of parameter is necessary in LES.
Similar content being viewed by others
References
M K Verma,Phys. Rev. E64, 26305 (2001)
M K Verma,Phys. Plasma 8, 3945 (2001)
T Gotoh,Comput. Phys. Commun. 147, 530 (2002).
O Métais, inNew trends in turbulence: Les Houches lectures edited by M Lesieur, A Yaglom and F David (Springer-Verlag, Berlin, 2001) pp. 113–139
D Forster, D R Nelson and M J Stephen,Phys. Rev. A16, 732 (1977)
V Yakhot and S A Orszag,J. Sci. Comput. 1, 3 (1986)
W D McComb,The physics of fluid turbulence (Oxford University Press, Clarendon, 1990)
W D McComb and A G Watt,Phys. Rev. A46, 4797 (1992)
Y Zhou, G Vahala and M Hussain,Phys. Rev. A37, 2590 (1988)
Y Zhou and G Vahala,Phys. Rev. E47, 2503 (1993)
R H Kraichnan,J. Atmos. Sci. 33, 1521 (1976)
O Schilling and Y Zhou,Phys. Fluids 14, 2002 (2002)
M Lesieur,Turbulence in fluids — Stochastic and numerical modelling (Kluwer Academic Publishers, Dordrecht, 1990).
D Carati and L Brenig,Phys. Rev. A40, 5193 (1989)
M K Verma,Pramana — J. Phys. 61, 577 (2003)
S A Orszag and G S Patterson,Phys. Rev. Lett. 28, 76 (1972)
M Frigo and S G Johnson, www.fftw.org
J Mathieu and J Scott,The introduction to turbulent flow (Cambridge University Press, Cambridge, 2000)
O Agullo, W-C Müller, B Knaepen and D Carati,Phys. Plasma 8, 3502 (2001)
W-C Müller and D Carati,Phys. Plasma 9, 824 (2002)
W-C Müller and D Carati,Comput. Phys. Commun. 147, 544 (2002)
Y Zhou, O Schilling and S Ghosh,Phys. Rev. E66, 26309 (2002)
G Dar, M K Verma and V Eswaram,Physica D157, 207 (2001)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Verma, M.K., Kumar, S. Large-eddy simulations of fluid and magnetohydrodynamic turbulence using renormalized parameters. Pramana - J Phys 63, 553–561 (2004). https://doi.org/10.1007/BF02704483
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02704483