Results of numerical simulations of the effect of an oscillating fluid flow on the limiting-current distribution on a line electrode imbedded in an otherwise insulated plane are presented. The fluid motion is established by a parallel plate oscillating in its own plane. The simulation results agree with theory developed for large Peclet numbers and low oscillation frequencies. It is shown that the average mass-transfer-limited current density increases with Peclet number but decreases with dimensionless oscillation frequency. The time-averaged spatial variation in the normalized distribution is always highly nonuniform, but the temporal variations of the spatially averaged flux decrease significantly with increasing oscillation frequency.