Nonlinear αω dynamo models in a duct geometry are considered. The rapid rotation approximation, in which inertial terms are neglected and viscosity is only significant in boundary layers, is used. The nonlinearities that arise in the model are the magnetically driven geostrophic flow and meridional circulation. The numerical method used is a two-dimensional, time-stepping spectral code.
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Jones et al. (1992) studied this question.