Abstract
We investigate in this chapter generation of large-scale magnetic fields by short-scale parity-invariant flows, which are space- and time-periodic. The presentation is based on [1]. We have demonstrated in the previous chapter that steady parity-invariant flows exhibit negative eddy diffusivity relatively often. It might be desirable to perform a similar investigation for unsteady turbulent flows, but this problem is numerically intensive and solving it consumes significant computational resources.
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Notes
- 1.
Similarly, it is advisable not to compute solutions to auxiliary problems of type II employing their statements in the form (4.35) directly, but to benefit from the knowledge of the potential part of the solutions (see (4.36)), and to transform (4.35) into an equation in solenoidal fields \({\hat{{\mathbf{G}}}_{j,mk}^{\prime}}=\hat{{\mathbf{G}}}_{j,mk}+\nabla(\nabla^{-2}(\hat{S}_{j,k})_m).\)
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© 2011 Springer-Verlag Berlin Heidelberg
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Zheligovsky, V. (2011). Time-Periodic Large-Scale Magnetic Dynamos. In: Large-Scale Perturbations of Magnetohydrodynamic Regimes. Lecture Notes in Physics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18170-2_4
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DOI: https://doi.org/10.1007/978-3-642-18170-2_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18169-6
Online ISBN: 978-3-642-18170-2
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