The influence of Rayleigh number, azimuthal wavenumber and inner core radius on 2- 1/2 D hydromagnetic dynamos

Physics of the Earth and Planetary Interiors

Volumn 117, Issue 1-4, 2000, Pages 237-258

  Morrison, Graeme ^a   Fearn, David R ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Hydromagnetic dynamo; Inner core; Magnetic fields

Indexed keywords

CORE (PLANETARY); GEOMAGNETIC FIELD; INNER CORE; MAGNETOHYDRODYNAMICS; PLANETARY ROTATION;

EID: 0033982360     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9201(99)00100-4     Document Type: Conference Paper

References (46)

1. Busse F.H. Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44:1970;441-460.
2. Busse F.H., Grote E., Tilgner A. On convection driven dynamos in rotating spherical shells. Stud. Geophys. Geod. 42:1998;1-6.
3. Christensen U., Olson P., Glatzmaier G.A. A dynamo model interpretation of geomagnetic field structures. Geophys. Res. Lett. 25:1998;1565-1568.
4. Christensen, U., Olson, P., Glatzmaier, G.A., 1998b. A systematic numerical study of spherical shell dynamos. Poster, SEDI.
5. Cowling T.G. The magnetic field of sunspots. Mon. Not. R. Astron. Soc. 94:1934;39-48.
6. Fearn D.R., Proctor M.R.E. Hydromagnetic waves in a differentially rotating sphere. J. Fluid Mech. 128:1983;1-20.
7. Fearn D.R., Proctor M.R.E. The stabilising role of differential rotation on hydromagnetic waves. J. Fluid Mech. 128:1983;21-36.
8. Fearn D.R., Proctor M.R.E., Sellar C.C. Nonlinear magnetoconvection in a rapidly rotating sphere and Taylor's constraint. Geophys. Astrophys. Fluid Dyn. 77:1994;111-132.
9. Glatzmaier G.A., Roberts P.H. A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle. Phys. Earth Planet. Inter. 91:1995;63-75.
10. Glatzmaier G.A., Roberts P.H. A 3-D self consistent computer simulation of a geomagnetic field reversal. Nature. 377:1995;203-209.
11. Glatzmaier G.A., Roberts P.H. On the magnetic sounding of planetary interiors. Phys. Earth Planet. Inter. 98:1996;207-220.
12. Glatzmaier G.A., Roberts P.H. An anelastic evolutionary geodynamo simulation driven by compositional and thermal convection. Physica D. 97:1996;81-94.
13. Glatzmaier G.A., Roberts P.H. Rotation and magnetism of the Earth's inner core. Science. 274:1996;1887-1891.
14. Glatzmaier G.A., Roberts P.H. Simulating the geodynamo. Contemp. Phys. 38:1997;269-288.
15. Gubbins D., Bloxham J. Morphology of the geomagnetic field and implications for the geodynamo. Nature. 325:1987;509-511.
16. Hollerbach R., Jones C.A. A geodynamo model incorporating a finitely conducting inner core. Phys. Earth Planet. Inter. 75:1993;317-327.
17. Hollerbach R., Jones C.A. Influence of the Earth's inner core on geomagnetic fluctuations and reversals. Nature. 365:1993;541-543.
18. Hollerbach R., Jones C.A. On the magnetically stabilising role of the Earth's inner core. Phys. Earth Planet. Inter. 87:1995;171-181.
19. Jault D. Sur l'inhibition de la régénération du champ magnétique dans certains modèles de dynamo planétaire en présence d'une graine solide. C. R. Acad. Sci., Ser. II. 323:1996;451-458.
20. Jones C.A., Longbottom A.W., Hollerbach R. A self-consistent convection driven geodynamo model using a mean field approximation. Phys. Earth Planet. Inter. 92:1995;119-141.
21. Kageyama A., Sato T. Generation mechanism of a dipole field by a magnetohydrodynamical dynamo. Phys. Rev. E. 55:1997;4617-4626.
22. Kuang W., Bloxham J. An Earth-like numerical dynamo model. Nature. 389:1997;371-374.
23. Kuang, W., Bloxham, J., 1999. Numerical modelling of magnetohydrodynamic convection in a rapidly rotating spherical shell: I. Weak and strong field dynamo action. Submitted to J. Comp. Phys.
24. Labrosse S., Poirier J.P., Le-Mouel J.L. On the cooling of the Earth's core. Phys. Earth Planet. Inter. 99:1997;1-17.
25. Poirier J.P. Transport properties of liquid metals and viscosity of the Earth's core. Geophys. J. 92:1988;99-105.
26. Poirier J.P. Physical properties of the Earth's core. C. R. Acad. Sci., Ser. II. 318:1994;341-350.
27. Roberts P.H. On the thermal instability of a rotating fluid sphere containing heat sources. Philos. Trans. R. Soc. London, Ser. A. 263:1968;93-117.
28. Sarson G.R., Jones C.A. A convection driven geodynamo reversal model. Phys. Earth Planet. Inter. 111:1999;3-20.
29. Sarson G.R., Jones C.A., Longbottom A.W. The influence of boundary region heterogeneities on the geodynamo. Phys. Earth Planet. Inter. 101:1997;13-32.
30. Sarson G.R., Jones C.A., Zhang K., Schubert G. Magnetoconvection dynamos and the magnetic fields of Io and Ganymede. Science. 276:1997;1106-1108.
31. Sarson, G.R., Jones, C.A., Hollerbach, R., 1998a. Three-dimensional geodynamo calculations of limited azimuthal resolution. Poster, SEDI.
32. Sarson G.R., Jones C.A., Longbottom A.W. Convection driven geodynamo models of varying Ekman number. Geophys. Astrophys. Fluid Dyn. 88:1998;225-259.
33. Sarson G.R., Jones C.A., Zhang K. Dynamo action in a uniform ambient field. Phys. Earth Planet. Inter. 111:1999;47-68.
34. Skinner P.H., Soward A.M. Convection in a rotating magnetic system and Taylor's constraint I. Geophys. Astrophys. Fluid Dyn. 44:1988;91-116.
35. Skinner P.H., Soward A.M. Convection in a rotating magnetic system and Taylor's constraint II. Geophys. Astrophys. Fluid Dyn. 60:1990;335-356.
36. Soward A.M. Non-linear marginal convection in a rotating magnetic system. Geophys. Astrophys. Fluid Dyn. 35:1986;329-371.
37. Stewartson K. On almost rigid rotations: Part 2. J. Fluid Mech. 26:1966;131-144.
38. Taylor J.B. The magnetohydrodynamics of a rotating fluid and the Earth's dynamo problem. Proc. R. Soc. London, Ser. A. 274:1963;274-283.
39. Walker M.R. Nonlinear magnetoconvection and the geostrophic flow-subcritical solutions. Stud. Geophys. Geod. 42:1998;272-279.
40. Walker M.R., Barenghi C.F. Magnetoconvection in a rapidly rotating sphere. Geophys. Astrophys. Fluid Dyn. 85:1997;129-162.
41. Walker M.R., Barenghi C.F. On a numerical solution to the magnetoconvection problem. Acta Astron. Geophys. Univ. Comenianae. XIX:1997;293-303.
42. Walker M.R., Barenghi C.F. Accurate numerical computations of Taylor integrals. Geophys. Astrophys. Fluid Dyn. 87:1998;173-191.
43. Walker M.R., Barenghi C.F. Nonlinear magnetoconvection and the geostrophic flow. Phys. Earth Planet. Inter. 111:1999;35-46.
44. Walker M.R., Barenghi C.F., Jones C.A. A note on dynamo action at asymptotically small Ekman number. Geophys. Astrophys. Fluid Dyn. 88:1998;261-275.
45. Zhang K. Spiralling columnar convection in rapidly rotating spherical fluid shells. J. Fluid Mech. 236:1992;535-556.
46. Zhang K., Jones C.A. On small Roberts number magnetoconvection in rapidly rotating systems. Proc. R. Soc. London, Ser. A. 452:1996;981-995.