A&A 387, 1100-1106 (2002)
DOI: 10.1051/0004-6361:20020441
Effects of boundary conditions on the dynamics of the solar convection zone
R. Tavakol1, E. Covas1, D. Moss2 and A. Tworkowski31 Astronomy Unit, School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK
2 Department of Mathematics, The University, Manchester M13 9PL, UK
3 Mathematics Research Centre, School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK
(Received 31 January 2002 / Accepted 20 March 2002)
Abstract
Recent analyses of the helioseismic
data have produced evidence for a
variety of interesting dynamical
behaviour associated
with torsional oscillations.
What is not so far clear is whether these
oscillations extend all the way to the bottom of
the convection zone and, if so, whether
the oscillatory behaviour
at the top and the bottom of the
convection zone is different.
Attempts have been made to understand
such modes of behaviour
within the framework of nonlinear dynamo models
which include the nonlinear action
of the Lorentz force of the
dynamo generated magnetic field on the solar
angular velocity.
One aspect of these models that remains uncertain
is the nature of the boundary conditions on the magnetic field.
Here by employing a range of physically plausible
boundary conditions, we show that
for near-critical and moderately supercritical
dynamo regimes, the oscillations extend all
the way down to the bottom of the
convection zone. Thus, such penetration is an extremely robust feature
of the models considered.
We also find parameter ranges for which the supercritical
models show spatiotemporal fragmentation
for a range of choices of boundary conditions.
Given their observational importance,
we also make a comparative study of the amplitude
of torsional oscillations as a function of the boundary conditions.
Key words: Sun: magnetic fields -- Sun: oscillations -- Sun: activity
Offprint request: R. Tavakol, r.tavakol@qmul.ac.uk
© ESO 2002
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