Rotation Invariant Vortices for Flow Visualization
Rotation Invariant Vortices for Flow Visualization
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DOI:
10.1109/tvcg.2015.2467200
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发表时间:
2016-01
影响因子:
5.2
通讯作者:
Tobias Günther;M. Schulze;H. Theisel
中科院分区:
文献类型:
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作者:
Tobias Günther;M. Schulze;H. Theisel
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.