## 3 Results
### Vortex Path  
Vertical y and lateral z coordinates of the vortex center were calculated in spanwise planes to the streamwise direction placed at different distances x downstream of the VG. With these calculations, the vortex center deviation can be obtained for each simulated case corresponding to the six different heights. Figures 4 and 5 show the lateral and vertical paths for the four different incident angles and the six different VG heights, respectively. Figure 4: Normalized lateral position of the vortex center as a function of the axial distance \(\frac{x}{\delta}\) downstream of the VG for six VG heights, 0.2H, 0.4H, 0.6H, 0.8H, H, and 1.2H, and four different incident angles \(\beta\). As shown in Figure 4, a lateral evolution of the vortex center can be observed; this movement evolves along the distance x from the VG trailing edge at the considered different spanwise planes and for all the simulations. This lateral evolution shows a deviation of the vortex center in the direction indicated by the VG trailing edge. The nondimensional vortex center lateral paths observed in the figure follow a similar trend for the incident angles \(\beta=15^{\circ}\), \(18^{\circ}\), and \(20^{\circ}\), having higher lateral deviation for the highest VG height, 1.2H. When looking at the 0.2H and 0.4H VG height cases, the deviations observed are smaller than the deviations corresponding to higher VGs. When analyzing the \(\beta=10^{\circ}\) incident angle, the deviation observed is also smaller than the deviation corresponding to bigger incident angles. Regarding the vertical path shown in Figure 5, the vortex centers calculated just past the VG trailing edge initially have a vertical position which is similar to the VG height for all the VG cases. As observed in the four plots corresponding to the four incident angles in Figure 5, there is not a meaningful vertical deviation. For the 0.8H, H, and 1.2H height cases, a relatively small downward deviation can be appreciated. On the other hand, for the two smallest height cases, the vertical path is pointing upwards. The reason for this upward deviation can be found in the fact that the lower VG vanes are within the inner part of the local boundary layer and, consequently, the viscous shear could prevail and have a determining influence when interacting with the wall. Figure 5: _Cont._  
The cases with similar VG height to the local boundary layer thickness follow the conclusions of [PERSON] et al. [24], who concluded that there is probably no vertical deviation of the vortex center position lengthwise in the streamwise direction. In the four figures of Appendix A, Figures A1-A4, the primary vortex evolution can be observed. These four figures depict the axial velocity distribution U\({}_{x}\) at four different planes normal to the streamwise direction and located at distances proportional to the local boundary layer thickness \(\delta\) for the six VG height and four incident angles. The formation and evolution of the primary vortex is clear for all the simulations and even more evident in the 0.6H VG height case. Furthermore, the vortex size increases as the planes are farther away from the VG trailing edge. This size increase indicates a lower gradient of velocities from the vortex center to the outer part of the vortex. It can be qualitatively observed in the four figures of Appendix A that vortexes of increasing size are obtained for bigger incident angles \(\beta\) and higher VGs. The lateral deviation of the vortex path can be also observed in the figures as the distance from the vortex generators' TE increases. This displacement in the z-axis occurs towards the side where the VG is rotated and is depicted for all the VG cases and is more evident for the highest incident angles \(\beta=18^{\circ}\) and \(20^{\circ}\). Summarizing the qualitative analysis made by means of the four figures shown in the Appendix A, the primary vortex can be clearly identified; it is simulated and captured relatively well with the exception of the smallest VG height case.