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Günther T, Schulze M, Theisel H. Rotation Invariant Vortices for Flow Visualization. IEEE Trans Vis Comput Graph. 2015;22(1):817-26doi: 10.1109/TVCG.2015.2467200.
Günther, T., Schulze, M., & Theisel, H. (2016). Rotation Invariant Vortices for Flow Visualization. IEEE transactions on visualization and computer graphics, 22(1), 817-26. https://doi.org/10.1109/TVCG.2015.2467200
Günther, Tobias, et al. "Rotation Invariant Vortices for Flow Visualization." IEEE transactions on visualization and computer graphics vol. 22,1 (2016): 817-26. doi: https://doi.org/10.1109/TVCG.2015.2467200
Günther T, Schulze M, Theisel H. Rotation Invariant Vortices for Flow Visualization. IEEE Trans Vis Comput Graph. 2016 Jan;22(1):817-26. doi: 10.1109/TVCG.2015.2467200. Epub 2015 Aug 12. PMID: 26390472.
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IEEE Trans Vis Comput Graph. 2016 Jan;22(1):817-26. doi: 10.1109/TVCG.2015.2467200. Epub 2015 Aug 12.

Rotation Invariant Vortices for Flow Visualization.

IEEE transactions on visualization and computer graphics

Tobias Günther, Maik Schulze, Holger Theisel

PMID: 26390472 DOI: 10.1109/TVCG.2015.2467200

Abstract

We propose a new class of vortex definitions for flows that are induced by rotating mechanical parts, such as stirring devices, helicopters, hydrocyclones, centrifugal pumps, or ventilators. Instead of a Galilean invariance, we enforce a rotation invariance, i.e., the invariance of a vortex under a uniform-speed rotation of the underlying coordinate system around a fixed axis. We provide a general approach to transform a Galilean invariant vortex concept to a rotation invariant one by simply adding a closed form matrix to the Jacobian. In particular, we present rotation invariant versions of the well-known Sujudi-Haimes, Lambda-2, and Q vortex criteria. We apply them to a number of artificial and real rotating flows, showing that for these cases rotation invariant vortices give better results than their Galilean invariant counterparts.

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