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Coherent structures and the saturation of a nonlinear dynamo
KTH, Centra, Nordic Institute for Theoretical Physics NORDITA.ORCID-id: 0000-0002-7304-021X
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2013 (Engelska)Ingår i: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 729, s. 309-329Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Eulerian and Lagrangian tools are used to detect coherent structures in the velocity and magnetic fields of a mean-field dynamo, produced by direct numerical simulations of the three-dimensional compressible magnetohydrodynamic equations with an isotropic helical forcing and moderate Reynolds number. Two distinct stages of the dynamo are studied: the kinematic stage, where a seed magnetic field undergoes exponential growth; and the saturated regime. It is shown that the Lagrangian analysis detects structures with greater detail, in addition to providing information on the chaotic mixing properties of the flow and the magnetic fields. The traditional way of detecting Lagrangian coherent structures using finite-time Lyapunov exponents is compared with a recently developed method called function M. The latter is shown to produce clearer pictures which readily permit the identification of hyperbolic regions in the magnetic field, where chaotic transport/dispersion of magnetic field lines is highly enhanced.

Ort, förlag, år, upplaga, sidor
2013. Vol. 729, s. 309-329
Nyckelord [en]
chaotic advection, dynamo theory, MHD turbulence
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URN: urn:nbn:se:kth:diva-133656DOI: 10.1017/jfm.2013.290ISI: 000322379400013Scopus ID: 2-s2.0-84886260451OAI: oai:DiVA.org:kth-133656DiVA, id: diva2:663270
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Tillgänglig från: 2013-11-11 Skapad: 2013-11-08 Senast uppdaterad: 2017-12-06Bibliografiskt granskad

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Brandenburg, Axel

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