Smagorinsky constant in LES modeling of anisotropic MHD turbulence
Smagorinsky constant in LES modeling of anisotropic MHD turbulence
Turbulent fluctuations in magnetohydrodynamic (MHD) flows can become strongly anisotropic or even quasi-2D under the action of an applied magnetic field. We investigate this phenomenon in the case of low magnetic Reynolds numbers. It has been found in earlier DNS and LES of homogeneous turbulence that the degree of anisotropy is predominantly determined by the value of the magnetic interaction parameter and only slightly depends on the Reynolds number, type of large-scale dynamics, and the length scale. Furthermore, it has been demonstrated that the dynamic Smagorinsky model is capable of self-adjustment to the effects of anisotropy. In this paper, we capitalize on these results and propose a simple and effective generalization of the traditional non-dynamic Smagorinsky model to the case of anisotropic MHD turbulence.
magnetohydrodynamic turbulence, large-eddy simulation
317-325
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Zikanov, Oleg
11eb1f85-5e32-4c0d-86e0-26f7633f1e90
May 2008
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Zikanov, Oleg
11eb1f85-5e32-4c0d-86e0-26f7633f1e90
Vorobev, Anatoliy and Zikanov, Oleg
(2008)
Smagorinsky constant in LES modeling of anisotropic MHD turbulence.
Theoretical and Computational Fluid Dynamics, 22 (3-4), .
(doi:10.1007/s00162-007-0064-z).
Abstract
Turbulent fluctuations in magnetohydrodynamic (MHD) flows can become strongly anisotropic or even quasi-2D under the action of an applied magnetic field. We investigate this phenomenon in the case of low magnetic Reynolds numbers. It has been found in earlier DNS and LES of homogeneous turbulence that the degree of anisotropy is predominantly determined by the value of the magnetic interaction parameter and only slightly depends on the Reynolds number, type of large-scale dynamics, and the length scale. Furthermore, it has been demonstrated that the dynamic Smagorinsky model is capable of self-adjustment to the effects of anisotropy. In this paper, we capitalize on these results and propose a simple and effective generalization of the traditional non-dynamic Smagorinsky model to the case of anisotropic MHD turbulence.
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Submitted date: 3 May 2006
e-pub ahead of print date: 11 September 2007
Published date: May 2008
Keywords:
magnetohydrodynamic turbulence, large-eddy simulation
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Local EPrints ID: 49378
URI: http://eprints.soton.ac.uk/id/eprint/49378
ISSN: 0935-4964
PURE UUID: cb3f6e99-47bc-4077-95d8-2d18a2d86254
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Date deposited: 02 Nov 2007
Last modified: 16 Mar 2024 03:57
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Author:
Oleg Zikanov
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