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Aspects of subgrid modelling and large-eddy simulation of magnetohydrodynamic turbulence

Published online by Cambridge University Press:  13 March 2009

Ye Zhou  and
George Vahala
Ye Zhou
Affiliation:
Bartol Research Institute, University of Delaware, Newark, Delaware 19716, U.S.A.
George Vahala
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
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Abstract

Subgrid-scale closures for magnetohydodynamic (MHD) turbulence are examined using the filtering technique. From the similarities between incompressible MHD turbulence and its hydrodynamic counterpart, as well as ideas from dynamo theory, a subgrid model is constructed from the large-eddy simulation (LES) of MHD turbulence. This model should find applicability in treating LES of the reversed-field pinch.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 2 , April 1991 , pp. 239 - 249
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Bardina, J., Ferziger, J. H. & Reynolds, W. C. 1980 AIAA Paper 80–1357.Google Scholar
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.Google Scholar
Bateman, G. 1978 MHD Instabilities. MIT Press.Google Scholar
Biringen, S. & Reynolds, W. C. 1981 J. Fluid Mech. 103. 53.CrossRefGoogle Scholar
Bodin, H. A. B. & Newton, A. A. 1980 Nucl. Fusion, 20, 1255.Google Scholar
Caramana, E. J. 1989 Phys. Fluids, B 1, 2186.CrossRefGoogle Scholar
Chen, H. & Montgomery, D. 1987 Plasma Phys. Contr. Fusion. 29, 205.CrossRefGoogle Scholar
Clark, R. A., Ferziger, J. H. & Reynolds, W. C. 1979 J. Fluid Mech. 91, 1.CrossRefGoogle Scholar
Cowling, T. G. 1976 Magnetohydrodynamics. Adam Hilger.Google Scholar
Dahlburg, J. P., Montgomery, D., Doolen, G. D. & Turner, L. 1988 J. Plasma Phys. 40, 39.CrossRefGoogle Scholar
Deardorff, J. W. 1970 J. Fluid Mech. 41, 453.CrossRefGoogle Scholar
Edison, T. M. 1985 J. Fluid Mech. 158, 245.CrossRefGoogle Scholar
Erlebacher, G., Hussaini, M. Y., Speziale, C. G. & Zang, T. A. 1987 NASA Langley/ICASE Report 87–20.Google Scholar
Germano, M. 1986 Phys. Fluids, 29, 1755.CrossRefGoogle Scholar
Gimblett, C. G. & Watkins, M. L. 1975 Proceedings of 7th European Conference on Controlled Fusion and Plasma Physics, Lausanne.Google Scholar
Hamba, F. 1989 J. Phys. Soc. Japan, 58, 2414.CrossRefGoogle Scholar
Horiuti, K. 1989 Phys. Fluids, A 1, 426.CrossRefGoogle Scholar
Kirby, P. 1988 Phys. Fluids, 31, 625.CrossRefGoogle Scholar
Kraichnan, R. H. 1959 J. Fluid Mech. 5, 597.CrossRefGoogle Scholar
Kraichnan, R. H. 1964 Phys. Fluids, 7, 1048.CrossRefGoogle Scholar
Krause, F. & Radler, K. H. 1980 Rep.Prog. Phys. 43, 547.Google Scholar
Krause, F. & Radle, K. H. 1980 Mean-Field Magnetohydrodynamics and Dynamo Theory. Pergamon.Google Scholar
Landau, L. & Lifshitz, E. M. 1959 Fluid Mechanics. Pergamon.Google Scholar
Leonard, A. 1974 Adv. Geophys. A 18, 237.CrossRefGoogle Scholar
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.Google Scholar
Moffatt, H. K. 1983 Rep. Prog. Phys. 46, 621.CrossRefGoogle Scholar
Moffatt, H. K. & Proctor, M. R. E. 1982 Geophys. Astrophys. Fluid Dyn. 21, 265.CrossRefGoogle Scholar
Moin, P. & Kim, J. 1982 J. Fluid Mech. 118, 341.CrossRefGoogle Scholar
Montgomery, D. 1983 Solar Wind Five. NASA Conference Publication 2280.Google Scholar
Montgomery, D. & Chen, H. 1984 Plasma Phys. Contr. Fusion, 26, 1199.CrossRefGoogle Scholar
Montgomery, D. & Hatori, T. 1984 Plasma Phys. Contr. Fusion, 26, 717.CrossRefGoogle Scholar
Nebel, R. A., Caramana, E. J. & Schneck, D. D. 1989 Phys. Fluids, B 1, 1671.CrossRefGoogle Scholar
Orszag, S. A. 1977 Fluid Dynamics: Les Houches 1973 (ed. Balian, R. and Peube, J. L.). Gordon and Breach.Google Scholar
Parker, E. N. 1963 Interplanetary Dynamical Processes. Interscience.Google Scholar
Parker, E. N. 1979 Cosmical Magnetic Fields. Clarendon.Google Scholar
Piomelli, U., Moin, P. & Ferziger, J. H. 1988 Phys. Fluids, 31, 1884.CrossRefGoogle Scholar
Rogallo, R. S. & Moin, P. 1984 Ann. Rev. Fluid Mech. 16, 99.CrossRefGoogle Scholar
Smagorinsky, J. 1963 Mon. Weather Rev. 93, 99.2.3.CO;2>CrossRefGoogle Scholar
Speziale, C. G. 1985 J. Fluid Mech. 156, 1884.CrossRefGoogle Scholar
Speziale, C. G., Erlebacher, G., Zang, T. A. & Hussaini, M. Y. 1988 Phys. Fluids 31, 940.CrossRefGoogle Scholar
Tayler, J. B. 1974 Phys. Rev. Lett. 33, 1139.CrossRefGoogle Scholar
Tayler, J. B. 1986 Rev. Mod. Phys. 58, 741.CrossRefGoogle Scholar
Yoshizawa, A. 1986 Phys. Fluids 29, 2152.CrossRefGoogle Scholar
Yoshizawa, A. 1987 Phys. Fluids 30, 1089.CrossRefGoogle Scholar
Zhou, Y., Hossain, M. & Vahala, G. 1989 Phys. Lett. 139A, 330.CrossRefGoogle Scholar