Rotation Invariant Vortices for Flow Visualization

Günther T, Schulze M, Theisel H (2016)

Publication Type: Journal article

Publication year: 2016

Journal

IEEE Transactions on Visualization and Computer Graphics Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 22

Pages Range: 817-826

Article Number: 7192689

Journal Issue: 1

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.

Authors with CRIS profile

Tobias Günther

Involved external institutions

Otto-von-Guericke-Universität Magdeburg

Germany (DE)

How to cite

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://dx.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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