  Magnetic helicity fluxes in turbulently driven alpha^2 dynamos are studied to
demonstrate their ability to alleviate catastrophic quenching. A
one-dimensional mean-field formalism is used to achieve magnetic Reynolds
numbers of the order of 10^5. We study both diffusive magnetic helicity fluxes
through the mid-plane as well as those resulting from the recently proposed
alternate dynamic quenching formalism. By adding shear we make a parameter scan
for the critical values of the shear and forcing parameters for which dynamo
action occurs. For this $\alpha\Omega$ dynamo we find that the preferred mode
is antisymmetric about the mid-plane. This is also verified in 3-D direct
numerical simulations.
