Profiles for the terms of the tensor used in this study.
Sketch of the sectioning of the inlet plane into several modes.
Two-dimensional (2D) plot of the fluctuating velocity field extracted from the results of Jeong et al. (Ref. 30) (top) and computed from the shape functions (bottom) for a STEL vortex located at and : (a) , contour levels from −2.60 to 2.96 by 0.7; (b) , contour levels from −1.10 to 0.978 by 0.2; (c) profile of along the line ; (d) ; (e) ; (f) . In (d) and (e) dashed contours corresponds to negative values and solid contours to positive values of the normalized shape function.
2D plot of the Reynolds stresses extracted from the results of Jeong et al. (Ref. 30) (top) and computed from the shape functions (bottom) for a STEL vortex located at and : (a) , contour levels from −0.868 to 1.22 by 0.2; (b) , contour levels from −1.3 to 4.23 by 0.7; (c) ; (d) . In (c) and (d) dashed contours corresponds to negative values and solid contours to positive values of the normalized shape function.
Representation of the shape functions in case where aspect ratios and structural information have been specified. The figure represents an isosurface of the -criterion, computed using , , as streamwise, normal, and transverse velocities respectively. Each axe has been dilated according to the aspect ratios of the structure given in Tables I and II.
Comparison of the different methods in terms of friction coefficient error (a), boundary layer thickness (b) as well as shape factor (c). Lines and symbols specifications are the same as in Table IV. The error function of skin friction and the boundary layer thickness are computed from Eqs. (11) and (10), respectively. The shape factor (×) is extracted from a 2D-RANS simulation of the same case with the Spalart–Allmaras turbulence model.
Comparison of the different methods. Reynolds stresses profiles are examined in inner scaling. Lines and symbols are as in Table IV.
Error functions for the TKE (top) and Reynolds shear stresses (bottom), as defined by Eqs. (12) and (13).
Comparison between the present results and previously published results. (top) Reynolds stresses; (bottom) mean velocity profile.
Isosurfaces of the -criterion: (a) RECY, ; (b) SEM4, ; (c) SEM0, ; (d) SEM0, .
Comparison of the instantaneous streamwise velocity field in a crossflow plane. (a) Middle plane of the RECY case. (b) Inlet plane of the SEM4 case. (c) Middle plane of the SEM4 case.
Power spectrum estimation for the TKE. For legend see Table IV.
Locus of the center, sizes and convection velocity of a STEL turbulent structure.
Locus of the center, sizes and convection velocity of a turbulent structure resembling legs or head of a hairpinlike structure.
Locus of the center, sizes and convection velocity of an isotropic turbulent structure designed to populate the wake region of a turbulent boundary layer.
Sizes (STEL, LEGS or HEAD, WAKE3 and WAKE4 defined in Tables I–III) and shapes [JHSK, TRANS, or GAUSS defined in Eqs. (6)–(8)] are given for the synthetic methods.
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