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Three-dimensional magnetic field reconstruction in the VKS experiment through Galerkin transforms

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Published 22 February 2011 Published under licence by IOP Publishing Ltd
, , Citation J Boisson and B Dubrulle 2011 New J. Phys. 13 023037 DOI 10.1088/1367-2630/13/2/023037

1367-2630/13/2/023037

Abstract

We present a method for three-dimensional (3D) magnetic field reconstruction based on Galerkin transforms. We test it over synthetic fields and real solenoidal (velocity) fields, measured in a water experiment. Our study shows that reliable reconstructions are possible provided that the probes are sufficiently sampled and located in shifted configurations. A preliminary application of our method is performed on results obtained in the VKS dynamo experiment (Bourgoin et al 2002 Phys. Fluids 14 3046). We show that the stationary dynamos obtained with counter-rotating impellers are mainly axisymmetric, with a non-axisymmetric part that decreases with increasing Reynolds numbers. Most of the azimuthal energy is localized near the (iron) impellers, confirming their importance in the dynamo process.

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10.1088/1367-2630/13/2/023037