Acceleration feature points of unsteady shear flows

J. Kasten, J. Reininghaus, I. Hotz, H. Hege, B. Noack, G. Daviller, M. Morzyński, Archives of Mechanics 68 (2016) 55–80.

Journal Article | Published | English

Scopus indexed
Kasten, Jens; Reininghaus, JanIST Austria; Hotz, Ingrid; Hege, Hans; Noack, Bernd; Daviller, Guillaume; Morzyński, Marek
A framework fo r extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance is proposed in this paper. The minima of the acceleration magnitude (a superset of acceleration zeros) are extracted and discriminated into vortices and saddle points, based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These feature points are tracked in time with a robust algorithm for tracking features. Thus, a space-time hierarchy of the minima is built and vortex merging events are detected. We apply the acceleration feature extraction strategy to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of the pressure field and minima of λ2.
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Archives of Mechanics
The authors acknowledge funding of the German Re- search Foundation (DFG) via the Collaborative Re- search Center (SFB 557) \Control of Complex Turbu- lent Shear Flows" and the Emmy Noether Program. Further funding was provided by the Zuse Institute Berlin (ZIB), the DFG-CNRS research group \Noise Generation in Turbulent Flows" (2003{2010), the Chaire d'Excellence 'Closed-loop control of turbulent shear ows using reduced-order models' (TUCOROM) of the French Agence Nationale de la Recherche (ANR), and the Eu- ropean Social Fund (ESF App. No. 100098251). We thank the Ambrosys Ltd. Society for Complex Sys- tems Management and the Bernd R. Noack Cybernet- ics Foundation for additional support. A part of this work was performed using HPC resources from GENCI-[CCRT/CINES/IDRIS] supported by the Grant 2011- [x2011020912
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Cite this

Kasten J, Reininghaus J, Hotz I, et al. Acceleration feature points of unsteady shear flows. Archives of Mechanics. 2016;68(1):55-80.
Kasten, J., Reininghaus, J., Hotz, I., Hege, H., Noack, B., Daviller, G., & Morzyński, M. (2016). Acceleration feature points of unsteady shear flows. Archives of Mechanics, 68(1), 55–80.
Kasten, Jens, Jan Reininghaus, Ingrid Hotz, Hans Hege, Bernd Noack, Guillaume Daviller, and Marek Morzyński. “Acceleration Feature Points of Unsteady Shear Flows.” Archives of Mechanics 68, no. 1 (2016): 55–80.
J. Kasten et al., “Acceleration feature points of unsteady shear flows,” Archives of Mechanics, vol. 68, no. 1, pp. 55–80, 2016.
Kasten J, Reininghaus J, Hotz I, Hege H, Noack B, Daviller G, Morzyński M. 2016. Acceleration feature points of unsteady shear flows. Archives of Mechanics. 68(1), 55–80.
Kasten, Jens, et al. “Acceleration Feature Points of Unsteady Shear Flows.” Archives of Mechanics, vol. 68, no. 1, Polish Academy of Sciences Publishing House, 2016, pp. 55–80.
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