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Turbulence and Nonlinear Dynamics in MHD Flows by M. Meneguzzi

By M. Meneguzzi

Themes mentioned at this overseas workshop comprise: magnetic fields in astrophysical flows, gradual and quick dynamos, MHD turbulence in house plasmas and within the laboratory, precise suggestions to MHD, topology and chaos in MHD, helicity and velocity-magnetic correlations, turbulent reconnection and non-magnetic flows.

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Speed the total number the and the thermal diffusion temperature Π as units o f length, temperature layer, (4) ρ + v /2, Ra the Rayleigh number, Β ), θ the To - ζ Δ Τ , Pr the Prandtl and P m the magnetic Prandtl number ν / η , where ν is the kinematic viscosity and η the magnetic diffusivity. Finally, e z is the unit vector in the vertical direction ζ, ω proportional to the current omitted in remaining the heat terms = V x ν since (see Chandrasekhar non linear Orszag terms coupling terms integrated are by compared vx = a z if using a Fourier pseudo-spectral method (see are free-slip implicit is done by leapfrog for the the vy = the external Chandrasekhar are the 1961).

36 UT as being the signatures of large tubes of flux connecting the magneto­ sheath to the magnetosphere. These tubes, called Flux Transfer Events (FTE), have a more or less cylindrical shape, with a typical radius ~ 1 R^; they essentially move northward in the northern hemisphere, and southward in the southern hemisphere. The lowermost part of Figure k is a schematics suggesting a possible geometry for the FTE: a twisted tube connecting the magnetosheath to the magnetosphere. Hence, while steady reconnection seems to be quite rare, localized and unsteady magnetic reconnection seems to occur frequently, at least when the IMF has a southward com­ ponent.

1988). K. (1950), Proc. R o y . S o c . A 2 0 1 , 405 Chandrasekhar S. (1961), "Hydrodynamic and hydromagnetic stability", D o v e r Publications Inc. Gilbert A . , Pouquet A . (1988), Geophys. Astrophys. Fluid. Dyn, 4 2 , 151. 46 M. Meneguzzi and A. A. and Miller J. (1981), Astrophys. J. Supp. 4 6 , 211. Gottlieb D . A. ( 1 9 7 7 ) , SIAM : "Numerical Analysis o f Spectral Methods". (1976), J. , 77, 753. , Pouquet Α . , Frisch U. (1981), J. Fluid Mech. 1 0 4 , 419 . Meneguzzi M . , Pouquet (paper I) A .

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