Effect of the magnetic field at the inner core boundary on the flow in the Earth's core

Physics

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Scientific paper

In the problem of Geodynamo, boundary conditions for the `inviscid' problem were obtained on the basis of solutions in the boundary layers. Using these boundary conditions, the hydrodynamic part of the problem in the axisymmetric case was solved analytically. On this basis, a computer code has been created free of the need to resolve boundary layers that sharply increases the rate of computational process. Computer simulations with this code confirmed the conclusion of Hollerbach [Hollerbach, R., 1994. Magnetohydrodynamic Ekman and Stewartson layers in a rotating spherical shell. Proc. R. Soc. London, Ser. A, 444 (1994) pp. 333-346.] (obtained by a different approach) that sufficiently strong magnetic fields suppress the discontinuity on the Stewartson cylinder circumscribing the inner core of the Earth and parallel to the axis of the rotation. The boundary conditions for magnetic field show that a concentrated generation of the toroidal field can occur in the boundary layer. Such a concentrated generation seems to take place in the Glatzmaier and Roberts numerical solution [Glatzmaier G.A., Roberts, P.H., 1995. A three-dimension convective dynamo solution with rotating and finitely conducting inner core and mantle. Phys. Earth Planet. Inter. 91 (1995) pp. 63-76.].

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