Magnetic helicity fluxes in dynamos from rotating inhomogeneous turbulence
Abstract
We analyze direct numerical simulations of large-scale dynamos in
inhomogeneous nonhelically driven rotating turbulence with and without shear.
The forcing is modulated so that the turbulent intensity peaks in the middle of
the computational domain and drops to nearly zero at the two ends above and
below the midplane. A large-scale dynamo is driven by an $\alpha$ effect of
opposite signs in the two hemispheres. In the presence of shear, the
hemispheric magnetic helicity flux from small-scale fields becomes important
and can even overcompensate for the magnetic helicity transferred by the
$\alpha$ effect between large and small scales. This effect has not previously
been observed in nonshearing simulations. Our numerical simulations show that
the hemispheric magnetic helicity fluxes are nearly independent of the magnetic
Reynolds number, but those between large and small scales, and the consequent
dynamo effect, are still found to decrease with increasing Reynolds number --
just like in nonshearing dynamos. However, in contrast to nonshearing dynamos,
where the generated mean magnetic field declines with increasing magnetic
Reynolds number, it is now found to remain independent of it. This suggests
that catastrophic dynamo quenching is alleviated by the shear-induced
hemispheric small-scale magnetic helicity fluxes that can even overcompensate
the fluxes between large and small scales and thereby cause resistive
contributions.