Spherical anisotropic diffusion models for the Earth's core

Physics of the Earth and Planetary Interiors

Volumn 117, Issue 1-4, 2000, Pages 209-223

  Phillips, C G ^a   Ivers, D J ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Anisotropic turbulence; Earth's core; MHD dynamo; Tensor spherical harmonic; Vector spherical harmonic

Indexed keywords

CORE (PLANETARY); GEODYNAMO; GEOMAGNETIC FIELD;

EID: 0033968958     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9201(99)00098-9     Document Type: Conference Paper

References (20)

1. Braginsky S.I. Magnetohydrodynamics of the Earth's core. Geomagn. Aeron. 4:1964;698-712.
2. Braginsky S.I., Meytlis V.P. Local turbulence in the Earth's core. Geophys. Astrophys. Fluid Dynam. 55:1990;71-87.
3. Braginsky S.I., Roberts P.H. Equations governing convection in Earth's core and the geodynamo. Geophys. Astrophys. Fluid Dynam. 79:1995;1-97.
4. Brink, D.M., Satchler, G.R., 1968. Angular Momentum, 2nd edn. OUP, Oxford.
5. Bullard E., Gellman H. Homogeneous dynamos and terrestrial magnetism. Philos. Trans. R. Soc. London, Ser. A. 247:1954;213-278.
6. Dellar, P.J., 1998. Private communication.
7. Ivers, D.J., Phillips, G.C., 1999. Vector spherical harmonic forms of the non-linear and linearised Boussinesq MHD equations with Ohmic heating. In preparation.
8. James R.W. The Adams and Elsasser dynamo integrals. Proc. R. Soc. London, Ser. A. 331:1973;469-478.
9. James R.W. The spectral form of the magnetic induction equation. Proc. R. Soc. London, Ser. A. 340:1974;287-299.
10. James R.W. New tensor spherical harmonics for application to the partial differential equations of mathematical physics. Philos. Trans. R. Soc. London, Ser. A. 281:1976;195-221.
11. Krause, F., Rädler, K.-H., 1980. Mean-Field Magnetohydrodynamics and Dynamo Theory. Pergamon, Oxford.
12. Matsushima, M., Nakajima, T., Roberts, P.H., 1998. The anisotropy of local turbulence in the Earth's core. Paper presented at SEDI98, Tours, France.
13. Moffatt H.K., Loper D.E. The magnetostrophic rise of a buoyant parcel in the Earth's core. Geophys. J. Int. 117:1994;394-402.
14. Phillips, G.C., 1995. Mean Dynamos. PhD Thesis, University of Sydney.
15. Robertson H.P. The invariant theory of isotropic turbulence. Proc. Cambridge Philos. Soc. 36:1975;209-223.
16. Rüdiger, G., 1989. Differential Rotation and Stellar Rotation. Gordon and Breach Publishers, New York.
17. Schulten K., Gordon R.G. Exact recursive evaluation of 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta. J. Math. Phys. 16:1975;1961-1970.
18. Stevenson D.J. Turbulent thermal convection in the presence of rotation and a magnetic field: a heuristic theory. Geophys. Astrophys. Fluid Dynam. 12:1979;139-169.
19. St. Pierre M.G. On the local nature of turbulence in Earth's outer core. Geophys. Astrophys. Fluid Dynam. 83:1996;293-306.
20. Wills J.G. On the evaluation of angular momentum coupling coefficients. Comput. Phys. Commun. 2:1971;381-382.