Two-dimensional time-dependent vortex regions based on the acceleration magnitude

IEEE Transactions on Visualization and Computer Graphics

Volumn 17, Issue 12, 2011, Pages 2080-2087

  Kasten, Jens ^a   Reininghaus, Jan ^b   Hotz, Ingrid ^b   Hege, Hans Christian ^b  

^a Institut Berlin   (Germany)

^b ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

feature extraction.; time dependent flow fields; Vortex regions

Indexed keywords

ACCELERATION MAGNITUDE; GALILEAN INVARIANT; PARTICLE MOTIONS; ROBUST ALGORITHM; SCALAR FIELDS; TEMPORAL EVOLUTION; TIME-DEPENDENT; TIME-DEPENDENT FLOW; TRACKING ALGORITHM; TWO DIMENSIONAL MODEL; VORTEX MODEL; VORTEX REGIONS;

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; FEATURE EXTRACTION; FLOW FIELDS; TWO DIMENSIONAL;

VORTEX FLOW;

EID: 80855139015     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2011.249     Document Type: Article

References (33)

1. D. C. Banks and B. A. Singer. A predictor-corrector technique for visualizing unsteady flow. IEEE Transactions on Visualization and Computer Graphics, 1(2):151-163, 1995.
2. D. Bauer and R. Peikert. Vortex tracking in scale-space. In D. Ebert, P. Brunet, and I. Navazo, editors, VisSym02 Joint Eurographics-IEEE TCVG Symposium on Visualization, pages 233-240. Eurographics Association, 2002.
3. D. Bauer, R. Peikert, M. Sato, and M. Sick. A case study in selective visualization of unsteady 3d flow. In VIS '02: Proceedings of the Conference on Visualization '02, pages 525-528, Washington, DC, USA, 2002. IEEE Computer Society. (Pubitemid 35444895)
4. E. Caraballo, M. Samimy, and J. DeBonis. Low dimensional modeling of flow for closed-loop flow control. In AIAA Paper, volume 59, 41st AIAA Aerospace Science Meeting, January 6-9, 2003, Reno, NV, USA.
5. R. Fuchs, J. Kemmler, B. Schindler, J. Waser, F. Sadlo, H. Hauser, and R. Peikert. Toward a Lagrangian vector field topology. Computer Graphics Forum, 29(3):1163-1172, June 2010.
6. C. Garth, X. Tricoche, T. Salzbrunn, T. Bobach, and G. Scheuermann. Surface Techniques for Vortex Visualization . In O. Deussen, C. Hansen, D. Keim, and D. Saupe, editors, Symposium on Visualization, pages 155-164, Konstanz, Germany, 2004. Eurographics Association.
7. C. Garth, X. Tricoche, and G. Scheuermann. Tracking of vector field singularities in unstructured 3d time-dependent datasets. In In Proc. IEEE Visualization 2004, pages 329-336, 2004. (Pubitemid 40497940)
8. G. Haller. Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D, 149(4):248-277, 2001. (Pubitemid 32875760)
9. G. Haller. An objective definition of a vortex. Journal of Fluid Mechanics, 525:1-26, 2005. (Pubitemid 40345597)
10. J. Hunt. Vorticity and vortex dynamics in complex turbulent flows. Trans. Can. Soc. Mech. Eng., 11:21-35, 1987. (Pubitemid 17640723)
11. M. Jankun-Kelly, M. Jiang, D. Thompson, and R. Machiraju. Vortex visualization for practical engineering applications. IEEE Transactions on Visualization and Computer Graphics, 12(5):957-964, 2006. (Pubitemid 44955626)
12. J. Jeong and F. Hussain. On the identification of a vortex. Journal of Fluid Mechanics, 285:69-94, 1995.
13. J. Kasten, I. Hotz, B. Noack, and H.-C. Hege. On the extraction of longliving features in unsteady fluid flows. In V. P. et al., editor, Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications., Mathematics and Visualization, pages 115-126. Springer, 2011.
14. T. S. Lundgren. Strained spiral vortex model for turbulent fine structure. Physics of Fluids, 25(12):2193-2203, 1982.
15. B. Noack, I. Mezíc, G. Tadmor, and A. Banaszuk. Optimal mixing in recirculation zones. Physics of Fluids, 16(4):867-888, 2004. (Pubitemid 38462208)
16. B. R. Noack, M. Schlegel, B. Ahlborn, G. Mutschke, M. Morzýnski, P. Comte, and G. Tadmor. A finite-time thermodynamics of unsteady fluid flows. Journal Non-Equilibrium Thermodynamics, 33(2):103-148, 2008.
17. C. Petz, J. Kasten, S. Prohaska, and H.-C. Hege. Hierarchical vortex regions in swirling flow. Computer Graphics Forum, 28(3):863-870, 2009.
18. A. Pobitzer, R. Peikert, R. Fuchs, B. Schindler, A. Kuhn, H. Theisel, K. Matkovic, and H. Hauser. On the way towards topology-based visualization of unsteady flow-the state of the art. In EuroGraphics 2010 State of the Art Reports (STARs), pages 137-154, 2010.
19. F. H. Post, B. Vrolijk, H. Hauser, R. S. Laramee, and H. Doleisch. The state of the art in flow visualisation: Feature extraction and tracking. Computer Graphics Forum, 22(4):775-792, 2003.
20. F. Reinders, I. Sadarjoen, B. Vrolijk, and F. Post. Vortex tracking and visualisation in a flow past a tapered cylinder. Computer Graphics Forum, 21(4):675-682, 11 2002.
21. J. Reininghaus, D. G̈unther, I. Hotz, S. Prohaska, and H.-C. Hege. TADD: A computational framework for data analysis using discrete Morse theory. In Mathematical Software-ICMS 2010, volume 6327 of Lecture Notes in Computer Science, pages 198-208. Springer, 2010.
22. J. Reininghaus, J. Kasten, T.Weinkauf, and I. Hotz. Efficient computation of combinatorial feature flow fields. IEEE Transactions on Visualization and Computer Graphics, 2011 (to appear).
23. V. Rom-Kedar, A. Leonard, and S.Wiggins. An analytical study of transport, mixing and chaos in an unsteady vortical flow. Journal of Fluid Mechanics, 214:347-394, 1990.
24. I. A. Sadarjoen and F. H. Post. Geometric methods for vortex extraction. In Joint Eurographics-IEEE TVCG Symposium on Visualization, pages 53-62, 1999.
25. D. Schneider, A. Wiebel, H. Carr, M. Hlawitschka, and G. Scheuermann. Interactive comparison of scalar fields based on largest contours with applications to flow visualization. IEEE Trans Vis Comput Graph, 14(6):1475-1482, 2008.
26. S. C. Shadden. A Dynamical Systems Approach to Unsteady Systems. PhD thesis, California Institute of Technology, Pasadena CA, 2006.
27. S. Stegmaier, U. Rist, and T. Ertl. Opening the Can of Worms: An Exploration Tool for Vortical Flows. In C. Silva and E. Gr̈oller and H. Rushmeier, editor, Proceedings of IEEE Visualization '05, pages 463-470. IEEE, 2005.
28. P. Tabeling. Two-dimensional turbulence: a physicist approach. Physics Reports, 362(1):1-62, 2002.
29. H. Theisel and H.-P. Seidel. Feature flow fields. In VisSym '03: Proceedings of the Symposium on Data Visualization 2003, pages 141-148, Aire-la-Ville, Switzerland, 2003. Eurographics Association.
30. A. Tikhonova, C. D. Correa, and K.-L. Ma. An exploratory technique for coherent visualization of time-varying volume data. Computer Graphics Forum, 29(3):783-792, 2010.
31. X. Tricoche, T. Wischgoll, G. Scheuermann, and H. Hagen. Topology tracking for the visualization of time-dependent two-dimensional flows. Computer & Graphics, 26:249-257, 2002. (Pubitemid 34545588)
32. M. Wilczek, O. Kamps, and R. Friedrich. Lagrangian investigation of two-dimensional decaying turbulence. Physica D: Nonlinear Phenomena, 237(14-17):2090-2094, 2008.
33. C. H. K. Williamson. Vortex dynamics in the cylinder wake. Annual Review of Fluid Mechanics, 28:477-539, 1996.