A numerical study of vortex generator aerodynamics has been carried out with a reduced set of Navier-Stokes equations. These are used to model the physical process of longitudinal vortex interaction with a turbulent boundary layer on a flat plate in incompressible flow. Comparison with experimental data is used to validate the approach, and detailed predictions are made. Results show an increase in skin friction and a decrease in integral layer thicknesses where the flow is toward the wall, and the reverse where the flow is away from the wall. The major controlling parameters of vortex strength, spacing and height are each found to have optimum values for which the efficiency of boundary-layer thinning is maximized. Vortex core spreading and secondary vorticity produced in the layer are observed and studied, as well as circulation decay and other features of the flow.