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A comparison between snapshot POD analysis of PIV velocity and vorticity data

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Abstract

Proper orthogonal decomposition (POD) was performed on both the fluctuating velocity and vorticity fields of a backward-facing step (BFS) flow at Reynolds numbers of 580 and 4,660. The data was obtained from particle image velocimetry (PIV) measurements. The vorticity decomposition captured the fluctuating enstrophy more efficiently than the equivalent velocity field decomposition for a given number of modes. Coherent structures in the flow are also more easily identifiable using vorticity-based POD. A common structure of the low-order vorticity POD modes suggests that a large-scale similarity, independent of the Reynolds number, may be present for the BFS flow. The POD modes obtained from a vorticity-based decomposition would help in determining a basis for constructing simplified vortex skeletons and low-order flow descriptions based on the vorticity of turbulent flows.

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Acknowledgements

The financial support of the Australian Research Council (ARC) is greatly appreciated.

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Kostas, J., Soria, J. & Chong, M.S. A comparison between snapshot POD analysis of PIV velocity and vorticity data. Exp Fluids 38, 146–160 (2005). https://doi.org/10.1007/s00348-004-0873-4

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