This article presents a computational model that employs a novel moving-grid methodology to investigate the interaction of an isolated synthetic jet in a crossflow. This moving-grid methodology can be said to be novel because this scheme conserves space automatically. In the current study, numerical simulation was performed to investigate the transient behavior of a single, two-dimensional synthetic jet that interacts with a turbulent boundary layer. Unsteady, Reynolds-averaged Navier-Stokes equations were solved numerically by a finite-volume method. Results on several phase-averaged velocity profiles agree with the trend of data obtained from experiments set up by NASA Langley Research Center.