Publications
Rotation Invariant Vortices for Flow Visualization
IEEE Transactions on Visualization and Computer Graphics (IEEE Visualization), 2016
🏆 Honorable Mention Award
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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BibTeX
@article{Guenther15SciVis,
author = {G{\"u}nther, Tobias and Schulze, Maik and Theisel, Holger},
title = {Rotation Invariant Vortices for Flow Visualization},
journal = {IEEE Transactions on Visualization and Computer Graphics (IEEE Visualization)},
volume = {22},
number = {1},
pages = {817--826},
year = {2016},
publisher = {IEEE},
address = {Chicago, United States},
doi = {10.1109/TVCG.2015.2467200},
}
