Unsteady dynamo effects at large magnetic reynolds number

Bruce J Bayly; S. Childress

doi:10.1080/03091928908243461

Unsteady dynamo effects at large magnetic reynolds number

Bruce J Bayly, S. Childress

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

In this paper we show that the adjoint formulation of the Stretch-Fold-Shear (SFS) fast dynamo model has smooth eigenfunctions at zero diffusivity. We thus compute fast dynamo action with smooth fields. We note that the adjoint problem is equivalent to use of a vector potential in reversed flow. We compare this behavior with analogous results for general pulsed-flow models. Some calculations using pulsed Beltrami waves are described.

Original language	English (US)
Pages (from-to)	23-43
Number of pages	21
Journal	Geophysical and Astrophysical Fluid Dynamics
Volume	49
Issue number	1-4
DOIs	https://doi.org/10.1080/03091928908243461
State	Published - 1989
Externally published	Yes

Keywords

Beltrami flows
Fast dynamos

ASJC Scopus subject areas

Geochemistry and Petrology
Geophysics
Computational Mechanics
Astronomy and Astrophysics
Mechanics of Materials

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abstract = "In this paper we show that the adjoint formulation of the Stretch-Fold-Shear (SFS) fast dynamo model has smooth eigenfunctions at zero diffusivity. We thus compute fast dynamo action with smooth fields. We note that the adjoint problem is equivalent to use of a vector potential in reversed flow. We compare this behavior with analogous results for general pulsed-flow models. Some calculations using pulsed Beltrami waves are described.",

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AU - Childress, S.

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AB - In this paper we show that the adjoint formulation of the Stretch-Fold-Shear (SFS) fast dynamo model has smooth eigenfunctions at zero diffusivity. We thus compute fast dynamo action with smooth fields. We note that the adjoint problem is equivalent to use of a vector potential in reversed flow. We compare this behavior with analogous results for general pulsed-flow models. Some calculations using pulsed Beltrami waves are described.

KW - Beltrami flows

KW - Fast dynamos

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