Skip to main content

Fast Vortex Axis Calculation Using Vortex Features and Identification Algorithms

  • Conference paper
  • 1740 Accesses

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Summary

Knowledge about the vortical flow over delta wings, its structure and behavior is an essential issue for the development of highly maneuverable aircraft and high angle of attack flight. Vortex breakdown is one of the limiting factors of extreme maneuvers in flight and poses a difficulty for flight control. The demand of simulating the vortical flow behavior has pushed the limits of current CFD Codes, but also the requirements for advanced post processing tools. From the analysis point of view, an important requirement is the capability to identify vortical flow patterns such as the vortex axis lines, vortex hull surfaces, and vortex-vortex interactions. This information is significant for a deeper physical understanding of various vortical flow phenomena and for flight control of aircrafts.

One goal of this paper is to compare various typical vortex identification methods, applied to the vortical flow over a generic 65° swept delta wing. Another goal is to apply those methods as elements of a construction kit, which defines a fast algorithm to detect and calculate vortex axes.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banks, D., Singer, B.: Vortex tubes in turbulent flows: Identification, representation, reconstruction. Proceedings of IEEE Visualization’ 94, Oct. 1994, pp. 132–139

    Google Scholar 

  2. Dallmann, U.: Topological Structures of Three-Dimensional Flow Separation. DFVLRIB 221-82 A 07, 1983

    Google Scholar 

  3. Dallmann, U., Vollmers, H., Su, W.H.: Flow Topology and Tomography for Vortex identification in Unsteady and Three-Dimensional Flows. In “Simulation and Identification of Organized Structures in Flow”, Proceedings IUTAM Symposium, Technical University of Denmark, Lyngby, May 25–29, 1997, J.N. Sorensen (ed.), Kluwer

    Google Scholar 

  4. Hunt, J.R.C., Wray, A.A., Moin, P.: Eddies, streams and convergence zones in turbulent flows. In Center of Turbulence Research Report CTR-S88, S.193–208, 1988

    Google Scholar 

  5. Jeong, J., Hussain, F.: On the identification of a vortex. J. Fluid Mech. (1995), vol. 285, pp. 69–94

    MathSciNet  Google Scholar 

  6. Jiang, M., Machiraju, R., Thompson, D.: Detection and Visualization of Vortices, in IEEE Visualization 2002, October 2002

    Google Scholar 

  7. Kenwright, D. N., Haimes, R.: Vortex Identification-applications in aerodynamics: A Case study. Proceedings of IEEE Visualization’ 97, Oct. 1997, pp. 413–416

    Google Scholar 

  8. Kenwright, D. N., Henze, C., Levit, C.: Feature Extraction of Separation and Attachment Lines. IEEE Transactions on Visualization and Computer Graphics, vol. 5, no. 2, April 1999

    Google Scholar 

  9. Levy, Y., Degani, D., Seginer, A.: Graphical visualization of vortical flows by means of helicity. AIAA Journal, vol. 28, no. 8, Aug. 1990, pp 1347–1352

    Google Scholar 

  10. Lugt, H. J.: The dilemma of defining a vortex. In U. Müller, K.G. Roesner, B. Schmidt (eds.), Theoretical and Experimental Fluid Mechanics, pp. 309–321, Springer-Verlag, 1979

    Google Scholar 

  11. Lugt, H. J.: Introduction to Vortex Theory. Vortex Flow Press, Inc., Maryland, 1996

    Google Scholar 

  12. Peickert, R., Roth, M.: The “parallel vectors” operator-a vector field primitive. Proceedings of IEEE Visualization’ 99, San Francisco, CA, Oct. 1999

    Google Scholar 

  13. Robinson, S. K.: Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech., vol. 23, 1991, pp. 601–639

    Article  Google Scholar 

  14. Roth, M.: Automatic Extraction of Vortex Core Lines and Other Line-Type Features for Scientific Visualization. PhD thesis, Swiss Federal Institute of Technology Zürich, 2000

    Google Scholar 

  15. Singer, B., Banks, D.: A predictor-Corrector Scheme for Vortex Identification. NASA Contractor Report 194882, ICASE Report No. 94-11, NASA Langley Research Center, Hampton, VA, Mar. 1994

    Google Scholar 

  16. Sujudi, D., Haimes, R.: Identification of swirling flow in 3D vector fields. AIAA Paper 95-1715, 12th AIAA CFD Conference, San Diego, CA, Jun. 1995

    Google Scholar 

  17. Truesdell, C.: The Kinematics of Vorticity. Indiana University, 1953

    Google Scholar 

  18. Vollmers, H.: Separation and vortical-type flow around a prolate spheroid. Evaluation of relevant parameters. AGARD-Symposium on Aerodynamics of Vortical Type Flows in Three Dimensions, Rotterdam, 1983

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rütten, M., Pagendarm, HG. (2006). Fast Vortex Axis Calculation Using Vortex Features and Identification Algorithms. In: Bonneau, GP., Ertl, T., Nielson, G.M. (eds) Scientific Visualization: The Visual Extraction of Knowledge from Data. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30790-7_16

Download citation

Publish with us

Policies and ethics