We investigated the flow of the counter-rotating vortex pair for Reynolds numbers based on the drift velocity ranging from 0 to 100 based on the drift velocity. Our computations reproduced the small time analytical results of Van Dommelen & Shankar [230] accurately. For large times, and for large Reynolds numbers the behavior of the computed drift velocities agree also well with analytical predictions. In general, our numerical results agree also with those of Ohring and Lugt [166], Lo and Ting [132], and Buntine and Pullin [32], even though the latter two studies used a smooth initial condition. This provides additional support for the numerical results presented in this subsection. In the next section we apply the vorticity redistribution method to three-dimensional Stokes flows in free space.