“…In the past few decades, important turbulent descriptors with respect to fish swimming behavior have been identified: turbulent kinetic energy, Reynolds shear stress, turbulence intensity, strain, eddy length scale, flow orientation, and vorticity [4][5][6][7][8][9][10]. Moreover, numerous studies detailed the turbulent structures in several designs of VSFs and provided major knowledge for subsequent improvements to facilitate fish passage [8,9,[11][12][13][14][15][16][17][18][19][20]. For example, Wang et al [19] have explored the influence of slope, the shape ratio of pools and discharge on VSFs flow characteristics.…”