This paper describes a series of numerical simulations of field reversal in the Reversed Field Pinch, using an incompressible MHD model and a reference set of plasma conditions. Field reversal and maintenance are observed although at values of the pinch parameter O larger than in experiment. This discrepancy is shown to arise largely from the unrealistic resistivity profile in the reference conditions and may not be fundamental. Qualitative agreement with experiment is demonstrated in several areas. The view that field reversal is due to a simple MHD dynamo is therefore given support.