Abstract: | In light of new results, the one‐dimensional mean‐field dynamo model of Brandenburg & Käpylä (2007) with dynamical quenching and a nonlocal Babcock‐Leighton α effect is re‐examined for the solar dynamo. We extend the one‐dimensional model to include the effects of turbulent downward pumping (Kitchatinov & Olemskoy 2011), and to combine dynamical quenching with shear. We use both the conventional dynamical quenching model of Kleeorin & Ruzmaikin (1982) and the alternate one of Hubbard & Brandenburg (2011), and confirm that with varying levels of non‐locality in the α effect, and possibly shear as well, the saturation field strength can be independent of the magnetic Reynolds number. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |