2022
DOI: 10.48550/arxiv.2207.02394
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Effect of electromagnetic boundary conditions on the onset of small-scale dynamos driven by convection

Abstract: We present a high-order numerical study of the dependence of the dynamo onset on different electromagnetic boundary conditions, in convecting Boussinesq flows forced by a temperature gradient. Perfectly conducting boundaries, vacuum, and mixed electromagnetic boundary conditions are considered, using a method that treats fields and boundary conditions with close to spectral accuracy. Having one or two conducting boundaries greatly facilitates dynamo action. For the mixed case it is shown that the critical magn… Show more

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“…It is known that boundary condition choice can have a significant effect on the growth rate of other magnetic instabilities, like magnetic dynamos (Varela et al 2017;Thelen & Cattaneo 2000). Fontana et al (2022) found that perfectly conducting boundary conditions had a larger growth rate than potential boundary conditions for magnetic dynamos in direct opposition to our findings here. However, a major difference between those previous studies and our own is that the Prendergast magnetic field is unstable to a resistive instability.…”
Section: Effect Of Azimuthal Wavenumber and Boundary Conditionscontrasting
confidence: 99%
“…It is known that boundary condition choice can have a significant effect on the growth rate of other magnetic instabilities, like magnetic dynamos (Varela et al 2017;Thelen & Cattaneo 2000). Fontana et al (2022) found that perfectly conducting boundary conditions had a larger growth rate than potential boundary conditions for magnetic dynamos in direct opposition to our findings here. However, a major difference between those previous studies and our own is that the Prendergast magnetic field is unstable to a resistive instability.…”
Section: Effect Of Azimuthal Wavenumber and Boundary Conditionscontrasting
confidence: 99%