Optimized kinematic dynamos

Geophysical Journal International

Volumn 124, Issue 3, 1996, Pages 787-800

  Love, J J ^a   Gubbins, David ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Geomagnetism; Inverse problem; Numerical techniques

Indexed keywords

DYNAMO THEORY; GEOMAGNETISM; INVERSE PROBLEM; OPTIMIZATION;

EID: 0029768390     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1996.tb05638.x     Document Type: Article

References (35)

1. Bloxham, J. & Gubbins, D., 1985. The secular variation of the Earth's magnetic field, Nature, 317, 777-781.
2. Bloxham, J., Gubbins, D. & Jackson, A., 1989. Geomagnetic Secular Variation, Phil. Trans. R. Soc. Lond., 329, 415-502.
3. Braginsky, S.I., 1964. Kinematic models of the earth's hydromagnetic dynamo, Geomagnetism and Aeronomy, 4, 572-583, English translation.
4. Bullard, E.C. & Gellman, H., 1954. Homogeneous dynamos and terrestrial magnetism, Phil. Trans. R. Soc. Lond. 247, 213-278.
5. Busse, F.H., 1983. Recent developments in the dynamo theory of planetary magnetism, Ann. Rev. Earth planet. Sci., 11, 241-268.
6. Cowling, T.G., 1934. The magnetic field of sunspots, Mon. Not. R. astr. Soc., 94, 39-48.
7. Dennis, J.E. & Schnabel, R.B., 1983. Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall, New Jersey.
8. Gibson, R.D. & Roberts, P.H., 1969. The Bullard and Gellman Dynamo, in The Application of Modern Physics to the Earth and Planetary Interiors, pp. 577-602, ed. Runcorn, S.K., Wiley Interscience, New York.
9. Gilman, P.A., 1983. Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II. Dynamos with cycles and strong feedbacks, Astrophys. J. Suppl., 53, 243-268.
10. 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.
11. Glatzmaier, G.A. & Roberts, P.H., 1995. A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle, Phys. Earth planet. Inter., 91, 63-75.
12. Gubbins, D., 1973. Numerical solutions of the kinematic dynamo problem, Phil. Trans. R. Soc. Lond., 274, 493-521.
13. Gubbins, D., 1975. Numerical solutions of the hydromagnetic dynamo problem, Geophys. J. R. astr. Soc., 42, 295-305.
14. Gubbins, D. & Bloxham, J., 1987. Morphology of the geomagnetic field and implications for the geodynamo, Nature, 325, 509-511.
15. Gubbins, D. & Kelly, P., 1993. Persistent patterns in the geomagnetic field during the last 2.5 Myr, Nature, 365, 829-831.
16. Gubbins, D. & Zhang, K., 1993. Symmetry properties of the dynamo equations for palaeomagnetism and geomagnetism, Phys. Earth planet. Inter., 75, 225-241.
17. Gubbins, D., Masters, T.G. & Jacobs, J.A., 1979. Thermal evolution of the Earth's core, Geophys. J. R. astr. Soc., 59, 57-99.
18. Hide, R. & Roberts, P.H., 1979. How strong is the magnetic field in the Earth's liquid core?, Phys. Earth planet. Inter., 20, 124-126.
19. Hutcheson, K.A., 1990. Geomagnetic field modelling, PhD thesis, University of Cambridge, Cambridge.
20. Hutcheson, K.A. & Gubbins, D., 1990. A model of the geomagnetic field for the 17th century, J. geophys. Res., 95, 10 769-10 781.
21. Hutcheson, K.A. & Gubbins, D., 1994. Kinematic magnetic field morphology at the core mantle boundary, Geophys. J. Int., 116, 304-320.
22. Johnson, C.L. & Constable, C.G., 1995. The time-averaged geomagnetic field as recorded by lava flows over the past 5 Myr, Geophys. J. Int., 122, 489-519.
23. Kumar, S. & Roberts, P.H., 1975. A three-dimensional kinematic dynamo, Proc. R. Soc. Lond., 344, 235-238.
24. Lilley, F.E.M., 1970. On kinematic dynamos, Proc. R. Soc. Lond., 316, 153-167.
25. Malvern, L.E., 1969. Introduction to the mechanics of a continuous medium, Prentice-Hall, New Jersey.
26. Moffatt, H.K., 1978. Magnetic Field Generation in Electrically Conducting Fluids, Cambridge University Press, Cambridge.
27. Nakajima, T. & Kono, M., 1991. Kinematic dynamos associated with large scale fluid motions, Geophys. astrophys. Fluid Dyn., 60, 177-209.
28. Parker, E.N., 1955. Hydromagnetic Dynamo Models, Astrophys. J., 122, 293-314.
29. Pekeris, C.L., Accad, Y. & Shkoller, B., 1973. Kinematic dynamos and the earth's magnetic field, Phys. Trans. R. Soc. Lond., 275, 425-461.
30. Roberts, P.H., 1972. Kinematic dynamo models, Phil. Trans. R. Soc. Lond., 272, 663-698.
31. Sclater, J.G., Jaupart, C. & Galson, D., 1980. The heat flow through oceans and continents, Rev. Geophys. Space Phys., 18, 269-311.
32. Stacey, F.D., 1977. Physics of the Earth, John Wiley & Sons, New York.
33. Steenbeck, M., Krause, F. & Rädler, K.-H., 1966. A calculation of the mean electromotive force in an electrically conductin fluid in turbulent motion, under the influence of Coriolis forces, Z. Naturforsch., 21a, 369-376.
34. Zhang, K. & Gubbins, D., 1993. Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at infinite Prandtl number, J. Fluid Mech., 250, 209-232.
35. Zhang, K.K. & Busse, F.H., 1989. Convection driven magnetohydrodynamic dynamos in rotating spherical shells, Geophys. astrophys. Fluid Dyn., 49, 97-116.