Scalar dynamo models

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The equation (δt + u•∇)C = R(x, t)C + κ∇2C, is a scalar analogue of the magnetic induction equation. If the velocity field u(x, t) and the 'stretching' function R(x, t) are explicitly given, then we have the analogue of the dynamo problem. The scalar problem displays many of the same features as the vector kinematic dynamo problem. The fastest growing modes have growth rates that approach a finite limit as K→0 while the eigenfunctions develop more and more complex structure at smaller and smaller length scales. Some insight is provided by an analysis which finds a lower bound on the growth rate that is asymptotically independent of the diffusivity

Original languageEnglish (US)
Pages (from-to)61-74
Number of pages14
JournalGeophysical and Astrophysical Fluid Dynamics
Volume73
Issue number1-4
StatePublished - 1993

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analogs
scalars
Electromagnetic induction
magnetic induction
Eigenvalues and eigenfunctions
diffusivity
Stretching
eigenvectors
Kinematics
kinematics
velocity distribution
analysis

Keywords

  • Fast dynamos

ASJC Scopus subject areas

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

Cite this

Scalar dynamo models. / Bayly, Bruce J.

In: Geophysical and Astrophysical Fluid Dynamics, Vol. 73, No. 1-4, 1993, p. 61-74.

Research output: Contribution to journalArticle

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