Large-scale dynamo produced by negative magnetic eddy diffusivities

Geophysical and Astrophysical Fluid Dynamics

Volumn 91, Issue 1-2, 1999, Pages 131-146

  Lanotte, A ^a   Noullez, A ^a   Vergassola, M ^a   Wirth, A ^b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b GEOMAR HELMHOLTZ CENTRE FOR OCEAN RESEARCH KIEL   (Germany)

Author keywords

Dynamo processes; Stability; Turbulent diffusion

Indexed keywords

DIFFUSION IN SOLIDS; KINEMATICS; TURBULENT FLOW;

NEGATIVE MAGNETIC EDDY DIFFUSIVITY;

INCOMPRESSIBLE FLOW;

EDDY; MAGNETOHYDRODYNAMICS;

GEODYNAMO; GEOMAGNETIC FIELD; MAGNETOHYDRODYNAMICS;

EID: 0034038807     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091929908203701     Document Type: Article

References (24)

1. Bender, C. M. and Orszag, S. A., Advanced Mathematical Methods for Scientists and Engineers, Mc Graw-Hill (1978).
2. Bensoussan, A., Lions, J.-L. and Papanicolaou, G., Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam (1978).
3. Brachet, M. E., Meiron, D. I., Orszag, S. A., Nickel, B. G., Morf, R. H. and Frisch, U., "Small-scale structure of the Taylor-Green vortex," J. Fluid Mech. 130, 411-452 (1983).
4. Dubrulle, B. and Frisch, U., "Eddy viscosity of parity-invariant flow," Physical Rev. A 53, 5355 (1991).
5. Frisch, U., She, Z. S. and Sulem, P. L., "Large-scale flow driven by the anisotropic kinetic alpha effect," Physica D 28, 382-392 (1987).
6. Gama, S., Vergassola, M. and Frisch, U., "Negative eddy viscosity in isotropically forced two-dimensional flow: linear and nonlinear dynamics," J. Fluid Mech. 180, 95-126 (1994).
7. Gilbert, A. D., Frisch, U. and Pouquet, A., "Helicity is unnecessary for alpha effect dynamos, but it helps," Geophys. Astrophys. Fluid Dynam. 42, 151-161 (1988).
8. Gottlieb, D. and Orszag, S. A., Numerical Analysis of Spectral Methods: Theory and Applications, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (1977).
9. Kazantzev, A. P., "Enhancement of magnetic fields by a conducting fluid," Sov. Phys. JETP 26, 1031 (1968).
10. Kraichnan, R. H., "Diffusion of weak magnetic fields by isotropic turbulence," J. Fluid Mech. 75, 657-676(1976).
11. Mc Laughlin, D., Papanicolaou, G. C. and Pironneau, O., "Convection of microstructures and related problems," SIAM Journal of Appl. Math. 45, 780 (1985).
12. Meshalkin, L. D. and Sinai, Ya. G., "Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid," Appl. Math. Mech. 25, 1700-1705 (1961).
13. Moffatt, H. K., Magnetic field generation in electrically conducting fluids, Cambridge University Press (1978).
14. Nayfeh, A. H., Perturbation Methods, Wiley, New York (1973).
15. Nepomnyashchy, A. A., "On the stability of the secondary flow of a viscous fluid in an infinite domain," Appl. Math. Mech. 40, 886-891 (1976).
16. Nore, C., Brachet, M. E., Politano, H. and Pouquet, A., "Dynamo action in the Taylor-Green vortex near threshold," Phys. Plasmas 4(1), 1-3 (1997).
17. Parker, E. N., Cosmical Magnetic Fields, Oxford University Press (1979).
18. Roberts, G. O., "Dynamo action of fluid motions with two-dimensional periodicity," Phil. Trans. R. Soc. Lond. A271, 411-454 (1972).
19. Sivashinsky, G. I., "Weak turbulence in periodic flows," Physica D 17, 243 (1985).
20. Steenbeck, M., Krause, F. and Rädler, K.-H., "A calculation of the mean electromotive force in an electrically conducting fluid in turbulent motion, under the influence of Coriolis forces," Z. Naturforsch. 21a, 369-376 (1966).
21. Van Dyke, M., Perturbation Methods in Fluid Mechanics, The Parabolic Press (1975).
22. Vergassola, M. and Avellaneda, M., "Scalar transport in compressible flow," Physica D 288, 249-264 (1995).
23. Wirth, A., Gama, S. and Frisch, U., "Eddy viscosity of three-dimensional flow," J. Fluid Mech. 288, 249-264 (1995).
24. Zeldovich, Ya. B., Ruzmaikin, A. A. and Sokoloff, D. D., Magnetic Fields in Astrophysics, Gordon and Breach (1983).