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http://dx.doi.org/10.12989/was.2021.33.1.013

POD-based analysis of time-resolved tornado-like vortices  

Wang, Mengen (College of Civil Engineering, Tongji University)
Cao, Shuyang (College of Civil Engineering, Tongji University)
Cao, Jinxin (College of Civil Engineering, Tongji University)
Publication Information
Wind and Structures / v.33, no.1, 2021 , pp. 13-27 More about this Journal
Abstract
In this study, three representative configurations of tornado-like vortices, i.e., single vortex, vortex breakdown and multi-vortex, are numerically simulated using large-eddy simulation (LES). Proper orthogonal decomposition (POD) is firstly employed to decompose flow-field snapshots into a series of orthogonal flow patterns (POD modes) and time-dependent coefficients. Then, a conditional-average analysis is conducted to obtain the four kinds of conditionally-averaged flow fields, which are then compared with instantaneous and ensemble-averaged flow fields. Next, a quadruple POD analysis is performed to decompose the instantaneous flow field into mean, coherent, transition and noise components. Finally, a qualitative analysis is implemented for unsteady vortex motions in horizontal and vertical planes. Results show that the conditional average shows larger-scale coherent structures than the classical ensemble average, while it loses the small-scale turbulent fluctuations present in instantaneous flow. The tornado vortex structure is controlled by the mean component in the single-vortex stage. With increase in swirl ratio, the tornado vortex evolves from single-vortex, to vortex-breakdown to multi-vortex, companied by kinetic energy transference to coherent and transition components. The horizontal and vertical vortex motions are essentially the results of horizontal and vertical velocity perturbations.
Keywords
tornado-like vortex; Computational Fluid Dynamic (CFD); Proper Orthogonal Decomposition (POD); conditional average; vortex motion;
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