Abstract:
The influence of the Lorentz force on the Stewartson layer
evolving at the rotating inner core is investigated for the case
when its nonlinear effects are not ignored. The influence of the
imposed Archimedean force is also examined. The problem is solved
using a finite difference method for the basic physical
variables of velocity, magnetic field, and pressure. The pressure
variable is subsequently corrected by a fractional step method.
When only viscous forces are assumed at the inner core boundary,
no differences with the previous results are found. However, when
the influence of the Lorentz force is considered and all its
nonlinear effects are taken into account, the superrotation of
the outer core exhibits a different character and a larger
amplitude than in the case when the nonlinear effects are
ignored. The Archimedean force distinctly increases the Stewartson layer
width and thus the change in the azimuthal velocity
at the inner core boundary is not as sharp.