Fig.1

Design concept diagram of oscillating vortex generator

Fig.2

Structure realization of oscillating vortex generator

Fig.3

3D model of oscillating vortex generator

Fig.4

Grid topology of oscillating vortex generator array

Fig.5

Relative positions of oscillating vortex generator array

Fig.6

Boundary layer profile and wall pressure distribution with different mesh numbers

Fig.7

Model of flow field and outfield

Table 1

Main flow parameters of shock waves upstream and downstream

Fig.8

Flow parameter distribution at inlet boundary

Fig.9

Comparison of boundary layer velocity distributions obtained by experiment and simulation［17］

Fig.10

Location of maximum upwash velocity and minimum velocity points of wake on symmetry plane［17］

Fig.11

Pressure curves at outlet at different time steps

Fig.12

Comparison of pitching moment coefficient between experimental data and simulation data

Fig.13

Time-mean boundary layer profiles at different positions along flow direction of oscillating vortex generator array

Fig.14

Evolution of flowing vortices in oscillating vortex generator arrays［19］

Fig.15

Time-averaged velocity at different spanwise locations downstream of vortex generator

Fig.16

Boundary layer profiles at typical moments at different spanwise positions at x=10hv

Fig.17

Time mean velocity distribution of oscillating vortex generator and fixed geometry vortex generator arrays near wall （z=0.25hv）

Fig.18

Comparison of velocity distribution during "suction" and "extrusion" of oscillating vortex generator

Fig.19

Time-averaged Mach number distribution of oscillating vortex generator array on different xoz planes

Fig.20

Liutex-Omega isosurfaces and wall limiting streamlines at typical moments during oscillation of oscillating vortex generator

Fig.21

Changes of time-averaged Mach number at y=0hv on plane of symmetry with different configurations

Table 2

Comparison of downstream performance parameters with different configurations

Fig.22

Variation of shape factor in oscillating vortex generators at different frequencies

Fig.23

Variation of mean Mach number at symmetry plane of oscillating vortex generator at different frequencies

Fig.24

Wall static pressure and wall friction coefficient distribution along symmetry line y=0hv at different shock impingement positions

Table 3

Separation length of symmetry line （y=0hv） at different shock wave impingement positions

Fig.25

Distribution of friction lines at different shock impingement positions

Fig.26

Incident shock wave surface and streamline emitted from vortex generator front 0.15 mm away from wall