Lagrangian visualization of flow-embedded surface structures

Computer Graphics Forum

Volumn 27, Issue 3, 2008, Pages 1007-1014

  Garth, Christoph ^a   Wiebel, Alexander ^b   Tricoche, Xavier ^c   Joy, Ken ^a   Scheuermann, Gerik ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF LEIPZIG   (Germany)

^c PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; VISUALIZATION;

APPLICATION EXAMPLES; FINITE-TIME LYAPUNOV EXPONENT; LAGRANGIAN ANALYSIS; LAGRANGIAN COHERENT STRUCTURES; OBJECT BOUNDARIES; THEORETICAL FOUNDATIONS; VISUALIZATION OF FLOWS; VISUALIZATION TECHNIQUE;

LAGRANGE MULTIPLIERS;

EID: 53149111577     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2008.01236.x     Document Type: Article

References (27)

1. Chong M., Perry A., Cantwell B. : A general classification of three-dimensional flow field. Physics of Fluids 2, A (1990 765 777.
2. Dallmann U. : Topological structures of three-dimensional flow separation. AIAA Paper 83-1735 (1983).
3. Délery J. : Robert Legendre and Henri Werlé: Toward the elucidation of three-dimensional separation. Ann. Rev. Fluid Mechanics 33 (2001 129 154.
4. de Leeuw W. C., Pagendarm H.-G., Post F. H., Walter B. : Visual simulation of experimental oil-flow visualization by spot noise images from numerical flow simulation. Tech. Rep. DUT-TWI-95-19, Delft, The Netherlands, 1995.
5. Garth C., Gerhard F., Tricoche X., Hagen H. : Efficient computation and visualization of coherent structures in fluid flow applications. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007 1464 1471.
6. Garth C., Laramee R., Tricoche X., Schneider J., Hagen H. : Extraction and visualization of swirl and tumble motion from engine simulation data. In Proceedings of The Topology-Based Methods in Visualization Workshop (2006).
7. Garth C., Li G. S., Tricoche X., Hansen C. D., Hagen H. : Visualization of coherent structures in transient 2d flows. In Topology-Based Methods in Visualization 2007, to appear (2007 Mathematics + Visualization, Springer.
8. Green M., Rowley C., Haller G. : Detection of lagrangian coherent structures in 3d turbulence J. Fluid Mech. 527 (2007 111 120.
9. Haller G. : Distinguished material surfaces and coherent structures in three-dimensional flows. Physica D 149 (2001 248 277.
10. Haller G. : Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence. Physics of Fluids 13, 11 (2001).
11. Haller G. : Lagrangian coherent structures from approximate velocity data. Physics of Fluids 14, 6 (June 2002 1851 1861.
12. Hermann T. : On the smoothness of offset surfaces. Computer Aided Geometric Design 15, 5 (May 1998 529 533.
13. Kenwright D., Henze C., Levit C. : Feature extraction of separation and attachment lines. IEEE Transactions on Visualization and Computer Graphics 5, 2 (1994 135 144.
14. Legendre R. : Séparation de l'écoulement laminaire tridimensionel. La Rech. Aéro 54 (1956 3 8.
15. Lévy B., Petitjean S., Ray N., Maillot J. : Least Squares Conformal Maps for Automatic Texture Atlas Generation. In SIGGRAPH '02 (New York, NY, USA, 2002 ACM Press, pp. 362 371.
16. Lekien F., Shadden S. C., Marsden J. E. : N-dimensional lagrangian coherent structures: Definition and properties. Physica D (2006).
17. Mathur M., Haller G., Peacock T., Ruppert-Felsot J. E., Swinney H. L. : Uncovering the lagrangian skeleton of turbulence. Physical Review Letters 98, 14 (2007 144 502.
18. Shadden S., Dabiri J., Marsden J. : Lagrangian analysis of fluid transport in empirical vortex rings. Physics of Fluids 18, 4 (2006 047105.
19. Surana A., Grunberg O., Haller G. : Exact theory of three-dimensional flow separation. part i: Steady separation. J. Fluid Mech., in press, available at http://web.mit.edu/ghaller (2006).
20. Shadden S. C., Lekien F., Marsden J. E. : Definition and properties of lagrangian coherent structures from finite-time lyapunov exponents in two-dimensional aperiodic flows. Physica D 212 (2005 271 304.
21. Sadlo F., Peikert R. : Efficient visualization of la-grangian coherent structures by filtered AMR ridge extraction. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007 1456 1463.
22. Sadlo F., Peikert R. : Visualizing lagrangian coherent structures: A comparison to vector field topology. In Topology-Based Methods in Visualization 2007, to appear (2007).
23. Tricoche X., Garth C., Scheuermann G. : Fast and robust extraction of separation line features. In Scientific Visualization: The Visual Extraction of Knowledge from Data (2006 Bonneau G.-P., Ertl T., Nielson G. M. Eds.), Mathematics + Visualization, Springer.
24. Weinkauf T., Theisel H., Hege H.-C., Seidel H.-P. : Boundary switch connectors for topological visualization of complex 3d vector fields. In VisSym 2004 : Joint Eurographics/IEEE Symposium on Visualization (Konstanz, Germany, 2004), Deussen O., Hansen C., Keim D. A., Saupe D. Eds.), Eurographics, pp. 183 192.
25. Wiebel A., Tricoche X., Scheuermann G. : Extraction of separation manifolds using topological structures in flow cross sections. In Proceedings of the Topology-Based Methods in Visualization Workshop (2007). to appear.
26. Wiebel A., Tricoche X., Schneider D., Jänicke H., Scheuermann G. : Generalized streak lines: Analysis and visualization of boundary induced vortices. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007 1735 1742.
27. Zorin D., Schröder P., Sweldens W. : Interpolating subdivision for meshes with arbitrary topology. In SIG-GRAPH '96 (New York, NY, USA, 1996 ACM, pp. 189 192.