Unsteady dynamo effects at large magnetic reynolds number

B. Bayly; S. Childress

doi:10.1080/03091928908243461

Unsteady dynamo effects at large magnetic reynolds number

B. Bayly
, S. Childress

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

28 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
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 - Dec 1989
Externally published	Yes

Keywords

Beltrami flows
Fast dynamos

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10.1080/03091928908243461

Cite this

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title = "Unsteady dynamo effects at large magnetic reynolds number",

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.",

keywords = "Beltrami flows, Fast dynamos",

author = "B. Bayly and S. Childress",

note = "Funding Information: We thank Andrew Gilbert. John Finn, and Mike Proctor for helpful discussions. This work was supported by the National Science Foundation under contracts No. DMS-83 1-2229 and No. DMS-850-4033, and by the National Aeronautics and Space Administration under contract No. NASA-NAGU-781, at the Courant Institute of Mathematical Sciences. New York University, The large scale computations were performed, with the support of National Science Foundation contract No. DMS-841-1169, on the Cray XMP machines of the National Center for Atmospheric Research. Research support from the Arizona Center for Mathematical Sciences, sponsored by AFOSR Contract F49620-86-CO130 with the University Research Initiative Program at the University of Arizona, is gratefully acknowledged.",

year = "1989",

month = dec,

doi = "10.1080/03091928908243461",

language = "English",

volume = "49",

pages = "23--43",

journal = "Geophysical and Astrophysical Fluid Dynamics",

issn = "0309-1929",

publisher = "Taylor and Francis Ltd.",

number = "1-4",

}

TY - JOUR

T1 - Unsteady dynamo effects at large magnetic reynolds number

AU - Bayly, B.

AU - Childress, S.

N1 - Funding Information: We thank Andrew Gilbert. John Finn, and Mike Proctor for helpful discussions. This work was supported by the National Science Foundation under contracts No. DMS-83 1-2229 and No. DMS-850-4033, and by the National Aeronautics and Space Administration under contract No. NASA-NAGU-781, at the Courant Institute of Mathematical Sciences. New York University, The large scale computations were performed, with the support of National Science Foundation contract No. DMS-841-1169, on the Cray XMP machines of the National Center for Atmospheric Research. Research support from the Arizona Center for Mathematical Sciences, sponsored by AFOSR Contract F49620-86-CO130 with the University Research Initiative Program at the University of Arizona, is gratefully acknowledged.

PY - 1989/12

Y1 - 1989/12

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/84963177129

U2 - 10.1080/03091928908243461

DO - 10.1080/03091928908243461

M3 - Article

AN - SCOPUS:84963177129

SN - 0309-1929

VL - 49

SP - 23

EP - 43

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

IS - 1-4

ER -

Unsteady dynamo effects at large magnetic reynolds number

Abstract

Keywords

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