The influence of fluid flow on electrode-shape change that results from electrodeposition in the presence of a model, levelling agent is simulated and discussed. The treatment is more rigorous than past studies in that flow and concentration fields are recalculated as the electrode shape changes. It is shown that uncertainties due to approximate treatments of fluid flow may be as significant as existing discrepancies between experiment and theory. A numerical algorithm necessary to minimize errors associated with automatic grid generation is discussed.