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Analysis of vortex populations in turbulent wall-bounded flows. (English) Zbl 1241.76278

Summary: Vortical structures were identified and characterized using velocity fields of turbulent wall-bounded flows. Here wre employ two direct numerical simulation data sets of fully developed channel flow at \(Re_{\tau } = 934\) obtained by J. C. del Álamo et al. [J. Fluid Mech. 500, 135–144 (2004; Zbl 1059.76031)] and \(Re_{\tau } = 590\) obtained by R. D. Moser et al. [Phys. Fluids 11, No. 4, 943–945 (1999; Zbl 1147.76463)] as well as dual-plane particle image velocimetry data at \(z^{+} = 110\) in a zero-pressure-gradient turbulent boundary layer at \(Re_{\tau } = 1160\). The three-dimensional swirling strength based on the local velocity gradient tensor was employed to identify vortex core locations. The real eigenvector of the tensor was used both to refine the identification algorithm and to determine the orientation of each vortex core. The identification method allowed cores of nearly all orientations to be analysed. Circulation of each vortical structure was calculated using the vorticity vector projected onto the real eigenvector direction. Various population distributions were then computed at different wall-normal locations including core size, orientation, circulation and propagation velocity. The mean radius of the cores identified was found to increase with increasing wall-normal distance, and the mean circulation increases approximately quadratically with eddy radius. Orientations of cores with stronger circulation were distributed over a much narrower range than those for vortices with weaker circulation and were consistent with legs, necks and heads of forward-leaning hairpin structures.

MSC:

76F40 Turbulent boundary layers
76D17 Viscous vortex flows
Full Text: DOI

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