Computation of localized flow for steady and unsteady vector fields and its applications

IEEE Transactions on Visualization and Computer Graphics

Volumn 13, Issue 4, 2007, Pages 641-651

  Wiebel, Alexander ^b   Garth, Christoph ^c   Scheuermann, Gerik ^a,b  

^a IEEE   (Germany)

^b UNIVERSITY OF LEIPZIG   (Germany)

^c Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Flow visualization; Local contribution; Neumann problem; Potential flow

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; FEATURE EXTRACTION; FLOW FIELDS; FLOW VISUALIZATION;

GLOBAL FLOW; LOCAL CONTRIBUTION; LOCALIZED FLOW; NEUMANN PROBLEM;

POTENTIAL FLOW;

ALGORITHM; ARTICLE; COMPUTER GRAPHICS; COMPUTER INTERFACE; COMPUTER SIMULATION; FLOW KINETICS; INFORMATION PROCESSING; MATHEMATICAL COMPUTING; METHODOLOGY; NONLINEAR SYSTEM; THEORETICAL MODEL; THREE DIMENSIONAL IMAGING;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; DATA DISPLAY; IMAGING, THREE-DIMENSIONAL; MODELS, THEORETICAL; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; RHEOLOGY; USER-COMPUTER INTERFACE;

EID: 85047697530     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2007.4293009     Document Type: Article

References (24)

1. A. Wiebel, C. Garth, and G. Scheuermann, "Localized Flow Analysis of 2D and 3D Vector Fields," Proc. Eurographics/IEEE - VGTC Symp. Visualization (EuroVis '05), pp. 143-150, June 2005.
2. G.K. Batchelor, An Introduction to Fluid Dynamics, chapters 2.7, 6.1, and 6.2. Cambridge Univ. Press, 1967.
3. K. Polthier and E. Preuß, "Variational Approach to Vector Field Decomposition," Proc. Eurographics Workshop Scientific Visualization, 2000.
4. K. Polthier and E. Preuß, "Identifying Vector Field Singularities Using a Discrete Hodge Decomposition," Visualization and Math. III, H.C. Hege and K. Polthier, eds., pp. 113-134, Springer, 2003.
5. Y. Tong, S. Lombeyda, A. Hirani, and M. Desbrun, "Discrete Multiscale Vector Field Decomposition," ACM Trans. Graphics (TOG), vol. 22, no. 3, pp. 445-452, July 2003.
6. F.H. Post, B. Vrolijk, H. Hauser, R.S. Laramee, and H. Doleisch, "The State of the Art in Flow Visualization: Feature Extraction and Tracking," Computer Graphics Forum (Blackwell CGF), vol. 22, no. 4, pp. 775-792, 2003.
7. J.L. Helman and L. Hesselink, "Representation and Display of Vector Field Topology in Fluid Flow Data Sets," Computer, vol. 22, no. 8, pp. 27-36, Aug. 1989.
8. A. Globus, C. Levit, and T. Lasinski, "A Tool for Visualizing the Topology of Three-Dimensional Vector Fields," Proc. Second Conf. Visualization '91, pp. 33-40, Oct. 1991.
9. G. Scheuermann, H. Krüger, M. Menzel, and A.P. Rockwood, "Visualizing Nonlinear Vector Field Topology," IEEE Trans. Visualization and Computer Graphics, vol. 4, no. 2, pp. 109-116, Mar./Apr. 1998.
10. X. Tricoche, T. Wischgoll, G. Scheuermann, and H. Hagen, "Topology Tracking for the Visualization of Time-Dependent Two-Dimensional Flows," Computers and Graphics, vol. 26, no. 2, pp. 249-257, 2002.
11. H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel, "Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields," Proc. Conf. Visualization '03, pp. 225-232, 2003.
12. D. Sujudi and R. Haimes, "Identification of Swirling Flow in 3-D Vector Fields," Proc. 12th AIAA Computational Fluid Dynamics Conf., June 1995.
13. J. Jeong and F. Hussain, "On the Identification of a Vortex," J. Fluid Mechanics, vol. 285, pp. 69-94, 1995.
14. J. Sahner, T. Weinkauf, and H.-C. Hege, "Galilean Invariant Extraction and Iconic Representation of Vortex Core Lines," Proc. Eurographics/IEEE - VGTC Symp. Visualization (EuroVis '05), pp. 151-160, June 2005.
15. S. Stegmaier, U. Rist, and T. Ertl, "Opening the Can of Worms: An Exploration Tool for Vortical Flows," Proc. IEEE Visualization Conf. (VIS '05), pp. 463-470, 2005.
16. D.C. Banks and B.A. Singer, "Vortex Tubes in Turbulent Flows: Identification, Representation, Reconstruction," Proc. IEEE Visualization Conf. (VIS '94), pp. 132-139, 1994.
17. R.S. Laramee, C. Garth, H. Doleisch, J. Schneider, H. Hauser, and H. Hagen, "Visual Analysis and Exploration of Fluid Flow in a Cooling Jacket," Proc. IEEE Visualization Conf. (VIS '05), pp. 623-630, 2005.
18. F. Sadlo, R. Peikert, and E. Parkinson, "Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization," Proc. IEEE Visualization Conf (VIS '04), pp. 179-186, Oct. 2004.
19. J. Alberty, C. Carstensen, and S.A. Funken, "Remarks around 50 Lines of Matlab: Short Finite Element Implementation," Numerical Algorithms, vol. 20, pp. 117-137, 1999.
20. P. Bochev and R.B. Lehoucq, "On the Finite Element Solution of the Pure Neumann Problem," SIAM Rev., vol. 47, no. 1, pp. 50-66, 2005.
21. R. Peikert and M. Roth, "The "Parallel Vectors" Operator - A Vector Field Visualization Primitive," Proc. Conf. Visualization '99: Celebrating 10 Years, pp. 263-270, 1999.
22. C. Garth, X. Tricoche, T. Salzbrunn, T. Bobach, and G. Scheuermann, "Surface Techniques for Vortex Visualization," Proc. Eurographics/IEEE TCVG Symp. Visualization, pp. 155-164, May 2004.
23. 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 Conf (VIS '04), pp. 187-194, Oct. 2004.
24. B.G. van der Wall, C.L. Burley, Y. Yu, H. Richard, K. Pengel, and P. Beaumier, "The HART II Test - Measurement of Helicopter Rotor Wakes," Aerospace Science and Technology, no. 8, pp. 273-284, 2004.