Spherical single-roll dynamos at large magnetic Reynolds numbers

Details Spherical single-roll dynamos at large magnetic Reynolds numbers Spherical single-roll dynamos at large magnetic Reynolds numbers

2010-06-11

arxiv.org/abs/1006.2308v2

Phys. Fluids (2010), 22, 066601

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

36 pages, 8 figures. V2: incorrect labels in Fig3 corrected. The article appears in Physics of Fluids, 22, 066601, and may be

Scientific paper

This paper concerns kinematic helical dynamos in a spherical fluid body surrounded by an insulator. In particular, we examine their behaviour in the regime of large magnetic Reynolds number $\Rm$, for which dynamo action is usually concentrated upon a simple resonant stream-surface. The dynamo eigensolutions are computed numerically for two representative single-roll flows using a compact spherical harmonic decomposition and fourth-order finite-differences in radius. These solutions are then compared with the growth rates and eigenfunctions of the Gilbert and Ponty (2000) large $\Rm$ asymptotic theory. We find good agreement between the growth rates when $\Rm>10^4$, and between the eigenfunctions when $\Rm>10^5$.

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