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A&A 369, 329-338 (2001)
DOI: 10.1051/0004-6361:20010123
Large scale dynamos with helicity loss through boundaries
A. Brandenburg and W. DoblerDepartment of Mathematics, University of Newcastle upon Tyne, NE1 7RU, UK
(Received 22 December 2000 / Accepted 22 January 2001)
Abstract
Dynamo action is investigated in simulations of locally isotropic and homogeneous
turbulence in a slab between open boundaries. It is found that a
"pseudo-vacuum"boundary condition (where the field is vertical) leads to strong helicity
fluxes which significantly reduce the amplitude of the resulting large-scale field. On the other hand, if there is a conducting
halo outside the
dynamo-active region, the large scale field amplitude can reach larger
values, but the time scale after which this field is reached increases
linearly with the magnetic Reynolds number. In both cases, most of the
helicity flux is found to occur on large scales. From the variety of models
considered we conclude that open boundaries tend to lower the saturation
field strength compared to the case with periodic boundaries. The rate
at which this lower saturation field strength is attained is roughly
independent of the strength of the turbulence and of the boundary conditions.
For dynamos with less helicity, however, significant field strengths
could be reached in a shorter time.
Key words: MHD -- turbulence
Offprint request: A. Brandenburg, brandenb@nordita.dk
© ESO 2001
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