The Community for Technology Leaders
RSS Icon
Subscribe
Issue No.03 - May/June (2008 vol.14)
pp: 615-626
ABSTRACT
Feature-based flow visualization is naturally dependent on feature extraction. To extract flow features, often higher-order properties of the flow data are used such as the Jacobian or curvature properties, implicitly describing the flow features in terms of their inherent flow characteristics (e.g., collinear flow and vorticity vectors). In this paper we present recent research which leads to the (not really surprising) conclusion that feature extraction algorithms need to be extended to a time-dependent analysis framework (in terms of time derivatives) when dealing with unsteady flow data. Accordingly, we present two extensions of the parallel vectors based vortex extraction criteria to the time-dependent domain and show the improvements of feature-based flow visualization in comparison to the steady versions of this extraction algorithm both in the context of a high-resolution dataset, i.e., a simulation specifically designed to evaluate our new approach, as well as for a real-world dataset from a concrete application.
INDEX TERMS
unsteady flow visualization, vortex feature extraction
CITATION
Raphael Fuchs, Ronald Peikert, Helwig Hauser, Filip Sadlo, Philipp Muigg, "Parallel Vectors Criteria for Unsteady Flow Vortices", IEEE Transactions on Visualization & Computer Graphics, vol.14, no. 3, pp. 615-626, May/June 2008, doi:10.1109/TVCG.2007.70633
REFERENCES
[1] D.C. Banks and B.A. Singer, “A Predictor-Corrector Technique forVisualizing Unsteady Flow,” IEEE Trans. Visualization and Computer Graphics, vol. 1, no. 2, pp. 151-163, June 1995.
[2] D. Bauer and R. Peikert, “Vortex Tracking in Scale-Space,” Proc.Fourth Joint IEEE VGTC—EUROGRAPHICS Symp. Visualization (VisSym '02), pp. 140-147, 2002.
[3] R. Bürger, P. Muigg, M. Ilcìk, H. Doleisch, and H. Hauser, “Integrating Local Feature Detectors in the Interactive Visual Analysis of Flow Simulation Data,” Proc. Ninth Joint IEEE VGTC— EUROGRAPHICS Symp. Visualization (VisSym '07), pp.171-178, 2007.
[4] M.S. Chong, A.E. Perry, and B.J. Cantwell, “A General Classification of Three-Dimensional Flow Fields,” Physics of Fluids Archive, vol. 2, pp. 765-777, 1990.
[5] C. Garth, G.-S. Li, X. Tricoche, C.D. Hansen, and H. Hagen, “Visualization of Coherent Structures in Transient Flows,” Proc. Topology-Based Methods in Visualization (TopoInVis), 2007.
[6] C. Garth, X. Tricoche, and G. Scheuermann, “Tracking of Vector Field Singularities in Unstructured 3D Time-Dependent Datasets,” Proc. IEEE Visualization, pp. 329-336, 2004.
[7] G. Haller, “An Objective Definition of a Vortex,” J. Fluid Mechanics, vol. 525, pp. 1-26, 2005.
[8] B. Hua, J. McWilliams, and P. Klein, “Lagrangian Accelerations in Geostrophic Turbulence,” J. Fluid Mechanics, vol. 366, pp. 87-108, 1998.
[9] J.C.R. Hunt, A.A. Wray, and P. Moin, “Eddies, Stream and Convergence Zones in Turbulent Flows,” Technical Report Center for Turbulence Research Report CTR-S88, 1988.
[10] F. Hussain, “Coherent Structures—Reality and Myth,” Physics of Fluids, vol. 26, pp. 2816-2850, 1983.
[11] M. Jankun-Kelly, M. Jiang, D. Thompson, and R. Machiraju, “Vortex Visualization for Practical Engineering Applications,” IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 5, pp.957-964, Sept./Oct. 2006.
[12] J. Jeong and F. Hussain, “On the Identification of a Vortex,” J.Fluid Mechanics, vol. 285, pp. 69-84, 1995.
[13] Y. Levy, D. Degani, and A. Seginer, “Graphical Visualization ofVortical Flows by Means of Helicity,” AIAA J., vol. 28, pp.1347-1352, 1990.
[14] D.J. Mavriplis, “Revisiting the Least-Squares Procedure for Gradient Reconstruction on Unstructured Meshes,” Proc. 16thAIAA Computational Fluid Dynamics Conf., 2003.
[15] A. Okubo, “Horizontal Dispersion of Floatable Trajectories in theVicinity of Velocity Singularities Such as Convergencies,” DeepSea Research, vol. 17, pp. 445-454, 1970.
[16] R. Peikert and M. Roth, “The “parallel vectors” Operator: AVector Field Visualization Primitive,” Proc. IEEE Visualization, pp. 263-270, 1999.
[17] R. Peikert and F. Sadlo, “Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow,” Proc. Topology-Based Methods in Visualization (TopoInVis), 2007.
[18] 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, vol. 22, no. 4, pp. 775-792, 2003.
[19] F. Reinders, F.H. Post, and H.J.W. Spoelder, “Visualization ofTime-Dependent Data with Feature Tracking and Event Detection,” Visual Computer, vol. 17, no. 1, pp. 55-71, 2001.
[20] M. Roth and R. Peikert, “Flow Visualization for Turbomachinery Design,” Proc. IEEE Visualization, pp. 381-384, 1996.
[21] M. Roth and R. Peikert, “A Higher-Order Method for Finding Vortex Core Lines,” Proc. IEEE Visualization, pp. 143-150, 1998.
[22] F. Sadlo and R. Peikert, “Visualizing Lagrangian Coherent Structures: A Comparison to Vector Field Topology,” Proc. Topology-Based Methods in Visualization (TopoInVis), 2007.
[23] S. Stegmaier, U. Rist, and T. Ertl, “Opening the Can of Worms: AnExploration Tool for Vortical Flows,” Proc. IEEE Visualization, pp. 463-470, 2005.
[24] D. Sujudi and R. Haimes, “Identification of Swirling Flow in 3DVector Fields,” Technical Report AIAA-95-1715, Am. Inst. of Aeronautics and Astronautics, 1995.
[25] H. Theisel and H.-P. Seidel, “Feature Flow Fields,” Proc. Fifth Joint IEEE VGTC—EUROGRAPHICS Symp. Visualization (VisSym), 2003.
[26] H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel, “Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields,” Proc. IEEE Visualization, pp. 321-328, 2004.
[27] X. Tricoche, C. Garth, G. Kindlmann, E. Deines, G. Scheuermann, M. Ruetten, and C. Hansen, “Visualization of Intricate Flow Structures for Vortex Breakdown Analysis,” Proc. IEEE Visualization, pp. 187-194, 2004.
[28] T. Weinkauf, J. Sahner, H. Theisel, and H.-C. Hege, “Cores of Swirling Particle Motion in Unsteady Flows,” IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 6, pp. 1759-1766, Nov./Dec. 2007.
[29] J. Weiss, “The Dynamics of Enstrophy Transfer in Two-Dimensional Hydrodynamics,” Physica D Nonlinear Phenomena, vol. 48, pp. 273-294, 1991.
[30] Homepage of Arsenal Research, http:/www.arsenal.ac.at, 2008.
[31] Homepage of the SimVis Visualization Framework, http:/www.simvis.at, 2008.
8 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool