Simulating the kinematic dynamo forced by heteroclinic convective velocity fields

I. Oprea, P. Chossat, Hans Armbruster

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We report on the integration of the kinematic dynamo problem in a spherical domain forced by velocity fields that are convective fluid flows resulting from a bifurcation analysis of the spherical Bénard problem. We derive a code based on generalized spherical harmonics that ensures a divergence-free magnetic field. We determine the growth or decay of a magnetic field in the kinematic dynamo equation for various physically relevant velocity fields which are stationary as well as time-periodic and chaotic. Velocity signals that are produced by heteroclinic cycles are used as an input to an energy-saturated kinematic dynamo equation that limits the growth of the linearly unstable modes. Preliminary calculations indicate the possibility of reversals of the magnetic field for this case of forcing.

Original languageEnglish (US)
Pages (from-to)293-309
Number of pages17
JournalTheoretical and Computational Fluid Dynamics
Volume9
Issue number3-4
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Engineering(all)
  • Fluid Flow and Transfer Processes

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