Optimised axially-symmetric kinematic dynamos

Physics of the Earth and Planetary Interiors

Volumn 140, Issue 1-3, 2003, Pages 3-11

  Holme, R ^a  

^a GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Kinematic dynamo; Optimisation

Indexed keywords

FLUID FLOW; GEODYNAMO; KINEMATICS; OPTIMIZATION; STRAIN RATE;

EID: 0344719128     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2003.07.003     Document Type: Article

References (18)

1. Backus G.E.A class of self-sustaining dissipative spherical dynamos Ann. Phys. 4 1958 372-447
2. Bullard E.C.Gellman H.Homogeneous dynamos and terrestrial magnetism Philos. Trans. R. Soc. London A 247 1954 213-278
3. Cowling T.G.The magnetic field of sunspots Mon. Not. R. Astr. Soc. 94 1934 39-48
4. de Boor, C., 1978. A Practical Guide to Splines. Springer, New York.
5. Dudley M.L.James R.W.Time-dependent kinematic dynamos with stationary flows Proc. R. Soc. Lond. A 425 1989 407-429
6. Gubbins D.Numerical solutions of the kinematic dynamo problem Philos. Trans. R. Soc. Lond. A 274 1973 493-521
7. Gubbins D.Barber C.N.Gibbons S.Love J.J.Kinematic dynamo action in a sphere. I. Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry Proc. R. Soc. Lond. A 456 2000a 1333-1353
8. Gubbins D.Barber C.N.Gibbons S.Love J.J.Kinematic dynamo action in a sphere. II. Symmetry selection Proc. R. Soc. Lond. A 456 2000b 1669-1683
9. Holme R.Three-dimensional kinematic dynamos with equatorial symmetry: Application to the magnetic fields of Uranus and Neptune Phys. Earth Planet. Int. 102 1997 105-122
10. Kumar S.Roberts P.H.A three dimensional kinematic dynamo Proc. R. Soc. Lond. A 344 1975 235-258
11. Love J.J.Gubbins D.Optimised kinematic dynamos Geophys. J. Int. 124 1996a 787-800
12. Love J.J.Gubbins D.Dynamos driven by poloidal flow exist Geophys. Res. Lett. 23 1996b 857-860
13. Pekeris C.L.Accad Y.Shkoller B.Kinematic dynamos and the Earth's magnetic field Philos. Trans. R. Soc. Lond. A 275 1973 425-461
14. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1992. Numerical Recipes, second ed. Cambridge University Press, Cambridge.
15. Proctor M.R.E.On Backus' necessary condition for dynamo action in a conducting sphere Geophys. Astrophys. Fluid Dyn. 9 1977 89-93
16. Roberts, G.O., 1971. In: A.J. Zmuda (Ed.), World Magnetic Survey, 1957-1969, vol. 28 of Bull. Int. Ass. Geomagn. Aeron., Paris, pp. 123-131, Reported by P.H. Roberts.
17. Roberts, P.H., Gubbins, D., 1987. Origin of the main field: Kinematics. In: Jacobs, J.A. (Ed.), Geomagnetism, vol. 2. Academic Press, London (Chapter 2).
18. Sarson G.R.Gubbins D.Three-dimensional kinematic dynamos dominated by strong differential rotation J. Fluid Mech. 306 1996 223-265