Abstract
Solutions for chaotic dynamos driven by thermal convection in a rotating spherical shell are obtained numerically for different Prandtl numbers. The influence of this parameter which is usually suppressed in the magnetostrophic approximation is emphasized in the present analysis.
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Braginsky, S.I., 1964: Kinematic models of the Earth hydromagnetic dynamo, Geomagn. Aeron. 4, 572–583
Braginsky, S.I., 1978: Nearly axially symmetric model of the hydromagnetic dynamo of the earth, Geomagn. Aeron. 18, 225–231
Braginsky, S.I., 1994: The Nonlinear Dynamo and Model-Z, In: Lectures in Solar and Planetary Dynamos, M.R.E. Proctor & A.D. Gilbert, eds., Cambridge University Press, pp. 267–304
Braginsky, S.I., and Roberts, P.H., 1995: Equations Governing Convection in the Earth's Core and the Geodynamo, Geophys. Astrophys. Fluid Dyn. 79, 1–97
Cuong, P.G., and Busse, F.H., 1981: Generation of magnetic fields by convection in a rotating sphere I, Phys. Earth Planet. Int. 24, 272–283
Eltayeb, I.A., and Roberts, P.H., 1970: On the hydromagnetics of rotating fluids, Astrophys. J. 162, 699–701
Gilman, P.A., and Miller, J., 1981: Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell, Astrophys. J. Suppl 46, 211–237
Glatzmaier, G.A., 1984: Numerical Simulations of Stellar Convective Dynamos. I. The Model and Method, J. Comput. Phys. 55, 461–484
Glatzmaier, G.A., 1985: Numerical Simulations of Stellar Convective Dynamos. II. Field propagation in the convection zone, Astrophys. J. 291, 300–307
Glatzmaier, G.A., 1985: Numerical Simulations of Stellar Convective Dynamos. III. At the base of the convection zone, Geophys. Astrophys. Fluid Dyn. 31, 137–150
Glatzmaier, G.A., and Roberts, P.H., 1995a: A three-dimensional self-consistent computer simulation of a geomagnetic field reversal, NATURE 377, 203–209
Glatzmaier, G.A., and Roberts, P.H., 1995b: A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle, Phys. Earth Plan Int. 91, 63–75
Glatzmaier, G.A., and Roberts, P.H., 1996: An anelastic evolutionary geodynamo simulation driven by compositional and thermal convection, Physica D 97, 81–94
Hirsching, W., and Busse, F.H., 1995: Stationary and chaotic dynamos in rotating spherical shells, Phys. Earth Planet. Int. 90, 243–254
Jones, C.A., Longbottom, A.W., and Hollerbach, R., 1996: A self-consistent convection driven geodynamo model, using a mean field approximation, Phys. Earth Planet. Int. 92, 119–141
Kuang, W., and Bloxham, J., 1997a: Numerical Modelling of Magnetohydrodynamic Convection in a Rapidly Rotating Spherical Shell I: Weak and Strong Field Dynamo Action, J. Comp. Phys.
Kuang, W., and Bloxham, J., 1997b: An Earth-like numerical dynamo model, NATURE 389, 371–374
Sarson, G.R., Jones, C.A., and Longbottom, A.W., 1998: Convection driven geodynamo models of varying Ekman number, submitted to Geophys. Astrophys. Fluid Dyn.
Tilgner, A., Ardes, M., and Busse, F.H., 1997: Convection in rotating spherical fluid shells, Acta Astron. Geophys. Univ. Comenianae 21, 337–358
Tilgner, A., and Busse, F.H., 1997: Finite amplitude convection in rotating spherical fluid shells, J. Fluid Mech. 332, 359–376
Wicht, J., and Busse, F.H., 1997: Magnetohydrodynamic dynamos in rotating spherical shells, Geophys. Astrophys. Fluid Dyn. 86, 103–129
Zhang, K.-K., and Busse, F.H., 1988: Finite amplitude convection and magnetic field generation in a rotating spherical shell, Geophys. Astrophys. Fluid Dyn. 44, 33–53
Zhang, K.-K., and Busse, F.H., 1989: Convection driven magnetohydrodynamic dynamos in rotating spherical shells, Geophys. Astrophys. Fluid Dyn. 49, 97–116
Zhang, K.-K., and Busse, F.H., 1990: Generation of Magnetic Fields by Convection in a Rotating Spherical Fluid Shell of Infinite Prandtl Number, Phys. Earth Planet. Int. 59, 208–222
Zhang, K., and Jones, C.A., 1997: The effect of hyperviscosity on geodynamo models, Geophys. Res. Lett. 24, 2869–2872
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Busse, F., Grote, E. & Tilgner, A. On Convection Driven Dynamos in Rotating Spherical Shells. Studia Geophysica et Geodaetica 42, 211–223 (1998). https://doi.org/10.1023/A:1023370314270
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DOI: https://doi.org/10.1023/A:1023370314270