Günther T, Schulze M, Theisel H (2016)
Publication Type: Journal article
Publication year: 2016
Book Volume: 22
Pages Range: 817-826
Article Number: 7192689
Journal Issue: 1
DOI: 10.1109/TVCG.2015.2467200
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.
APA:
Günther, T., Schulze, M., & Theisel, H. (2016). Rotation Invariant Vortices for Flow Visualization. IEEE Transactions on Visualization and Computer Graphics, 22(1), 817-826. https://doi.org/10.1109/TVCG.2015.2467200
MLA:
Günther, Tobias, Maik Schulze, and Holger Theisel. "Rotation Invariant Vortices for Flow Visualization." IEEE Transactions on Visualization and Computer Graphics 22.1 (2016): 817-826.
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