Abstract Compressing complex flows into a tangle of vortex filaments is the basic implication of the classical vortex-representation notion. This work focuses on the effectiveness of the local identification criteria in the vortex representation of wall-bounded turbulence. Basically, five local identification criteria regarding vortex strength and three criteria for vortex axis are considered. Instead of separately evaluating the two classes of criteria, the current work defines vortex vectors by arbitrarily combining the vortex strength and vortex axis expressed by various criteria, and attempts to figure out the most effective one regarding the vortex representation. The effectiveness of these vortex vectors is evaluated based on two aspects: first, the alignment of the vortex axis and vortex iso-surface should be well established, which benefits the simplification of the vortex filaments; second, vortices could be viewed as the “gene code” of turbulent flows, which means reconstructing the velocity fields based on them should be effective. For the first aspect, the differential geometry method is employed to describe the vortex isosurface-axis alignment property quantitatively. For the second aspect, the Biot-Savart law is employed to accomplish the vortex-to-velocity reconstruction. Results of this work provide some reference for the applications of vortex identification criteria in wall-bounded turbulence.
Chengyue Wang,Qi Gao,Tianle Chen et al. On the effectiveness of local vortex identification criteria in the vortex representation of wall-bounded turbulence[J]. Acta Mechanica Sinica, .
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