Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections
The study of flow separation from walls or solid objects is still an active research area in the fluid dynamics and flow visualization communities and many open questions remain. This paper aims at introducing a new method for the extraction of separation manifolds originating from separation lines. We address the problem from the flow visualization side by investigating features in flow cross sections around separation lines. We use the topological signature of the separation in these sections, in particular the presence of saddle points and their separatrices, as a guide to initiate the construction of the separation manifolds. Having this first part we use well known stream surface construction methods to propagate the surface further into the flow. Additionally, we discuss some lessons learned in the course of our experimentation with well known and new ideas for the extraction of separation lines.
Unable to display preview. Download preview PDF.
- 1.Brian Cabral and Leith Casey Leedom. Imaging Vector Fields Using Line Integral Convolution. In SIGGRAPH '93: Proceedings of the 20th Annual Con ference on Computer Graphics and Interactive Techniques, pages 263–270, New York, NY, USA, 1993. ACM Press.Google Scholar
- 3.Christoph Garth, Xavier Tricoche, Tobias Salzbrunn, Tom Bobach, and Gerik Scheuermann. Surface Techniques for Vortex Visualization. In Oliver Deussen, Charles Hansen, Daniel A. Keim, and Dietmar Saupe, editors, Data Visualiza tion 2004 — Eurographics/IEEE TCVG Symposium on Visualization Proceedings, pages 155–164, Konstanz, Germany, May 2004. Eurographics Association.Google Scholar
- 4.Jeffrey P. M. Hultquist. Constructing Stream Surfaces in Steady 3D Vector Fields. In Arie E. Kaufman and Gregory M. Nielson, editors, P roceedin gs of the 3rd conference on Visualization '92, pages 171–178, Boston, MA, 1992.Google Scholar
- 5.C. M. Hung and P. G. Buning. Simulation of blunt-fin induced shock wave and turbulent boundary layer separation, AIAA Paper 84-0457. In AIAA Aerospace Sciences Conference, Reno, NV, January 1984. AIAA.Google Scholar
- 6.D. N. Kenwright. Automatic detection of open and closed separation and attachment lines. In IEEE Computer Society Press, editor, IEEE Visualization P roceedin gs, pages 151–158, Los Alamitos, CA, 1998.Google Scholar
- 8.M. Roth. Automatic Extraction of Vortex Core Lines and Other Line-Type Features for Scientific Visualization. PhD thesis, ETH Zürich, 2000.Google Scholar
- 9.Herrmann Schlichting. Grenzschicht-Theorie. Braun, Karlsruhe, 1992.Google Scholar
- 11.A. Surana, G. B. Jacobs, and G. Haller. Extraction of Separation and Reat-tachment Surfaces from 3D Steady Shear Flows. AIAA Journal, in press, 2006.Google Scholar
- 12.Xavier Tricoche, Christoph Garth, Gordon Kindlmann, Eduard Deines, Gerik Scheuermann, Markus Ruetten, and Charles Hansen. Visualization of Intricate Flow Structures for Vortex Breakdown Analysis. In Holly Rushmeier, Greg Turk, and Jarke J. van Wijk, editors, Proceedings of the IEEE Visualization 2004 (VIS'04), pages 187–194. IEEE Computer Society, October 2004.Google Scholar
- 13.Xavier Tricoche, Christoph Garth, and Gerik Scheuermann. Fast and robust extraction of separation line features. In Scientific Visualization: The Visual Extraction of Knowledge from Data, pages 245–263. Mathematics + Visualiza tion, Springer, 2005.Google Scholar