Other
Scientific paper
Jan 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jfm...306..223s&link_type=abstract
Journal of Fluid Mechanics, Vol. 306, p. 223 - 265
Other
21
Dynamo Theory: Earth
Scientific paper
In the kinematic dynamo problem a fluid motion is specified arbitrarily and the induction equation is solved for non-decaying magnetic fields; it forms part of the larger magnetohydrodynamic (MHD) dynamo problem in which the fluid flow is buoyancy-driven. Although somewhat restrictive, the kinematic problem is important for two reasons: first, it suffers from numerical difficulties that are holding up progress on the MHD problem; secondly, for the geodynamo, it is capable of reproducing details of the observable magnetic field. It is more efficient to study these two aspects for the kinematic dynamo than for the full MHD dynamo. The authors explore solutions for a family of fluid flows in a sphere, that is heuristically representative of convection in a rotating sphere such as the Earth's core. They guard against numerical difficulties by comparing their results with well-understood solutions from the axisymmetric (αω) limit of Braginskii (1964) and with solutions of the adjoint problem, which must yield identical eigenvalues in an adequate numerical treatment. Previous work has found a range of steady dipolar solutions; here the authors extend these results and find solutions of other symmetries, notably oscillatory and quadrupolar fields.
Gubbins David
Sarson Graeme R.
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