Journal
JOURNAL OF FLUID MECHANICS
Volume 729, Issue -, Pages 309-329Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2013.290
Keywords
chaotic advection; dynamo theory; MHD turbulence
Categories
Funding
- FAPESP (Brazil)
- CNPq (Brazil)
- NORDITA (Sweden)
- Marie Curie International Incoming Fellowship
- European Research Council [227952]
- Swedish Research Council [621-2011-5076, 2012-5797]
- NSF [1047963]
- Direct For Computer & Info Scie & Enginr [1358118] Funding Source: National Science Foundation
- Office of Advanced Cyberinfrastructure (OAC) [1358118] Funding Source: National Science Foundation
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [1047963] Funding Source: National Science Foundation
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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.
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