Experiments in Fluids

, Volume 36, Issue 2, pp 233–245 | Cite as

Wavelet based eddy structure eduction from a backward facing step flow investigated using particle image velocimetry

  • C. Schram
  • P. Rambaud
  • M. L. Riethmuller


The eddy structures shed in a backward facing step (BFS) flow are considered in this work. Particle image velocimetry (PIV) measurements are performed in the recirculating region located downstream of the step. These measurements are validated by comparison with data available in the literature. An automatic vortex detection algorithm is developed for the purpose of the automatic analysis of the experimental data to detect and characterize the eddy structures. This provides a database that can be further post-processed to obtain a statistical characterization of the vortices. The streamwise statistical evolution of the diameter and circulation of the cores of the detected vortices is evaluated and stored in a database. This database is used to propose an illustration of the energy contents of the detected eddy versus the core inverse size but also an ensemble average of a given class of vortices.


Vortex Vorticity Particle Image Velocimetry Shear Layer Particle Image Velocimetry Measurement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Abott DE, Kline SJ (1962) Experimental investigation of subsonic turbulent flow over single and double backward facing step. J Basic Eng 84:317–325Google Scholar
  2. Adams EW, Eaton JK (1988) An LDA study of the backward-facing step flow, including the effect of velocity bias. J Fluids Eng 110:275–282Google Scholar
  3. Armaly BF, Durst F, Pereira JCF, Schönung B (1983) Experimental and theoretical investigation of backward-facing step flow. J Fluid Mech 127:473–496Google Scholar
  4. Brown G, Roshko A (1974) On density effects and large structure in turbulent mixing layers. J Fluid Mech 76:127–144Google Scholar
  5. Camussi R (2002) Coherent structure identification from wavelet analysis of particle image velocimetry data. Exp Fluids 32:76–86CrossRefGoogle Scholar
  6. De Brederode V, Bradshaw P (1972) Three-dimensional flow in nominally two-dimensional separation bubbles. I. Flow behind a rearward-facing step. Aero Report 72-19. Imperial College of Science and Technology, LondonGoogle Scholar
  7. Eaton JK, Johnston JP (1981) A review of research on subsonic turbulent flow reattachment. AIAA J 19:1093–1100Google Scholar
  8. Farge M (1992) Wavelet transforms and their applications to turbulence. Ann Rev Fluid Mech 24:395–457Google Scholar
  9. Farge M, Kevlahan N, Perrier V, Goirand E (1996) Wavelets and turbulence. Proc IEEE 84:639–669CrossRefGoogle Scholar
  10. Farge M, Schneider K, Kevlahan N (1998) Coherent structures eduction in wavelet-forced two-dimensional turbulent flows. In: Krause E, Gersten K (eds) IUTAM Symposium on Dynamics of slender vortices. Kluwer, Dordrecht, pp 65–83Google Scholar
  11. Furuichi N, Kumada M (2002) An experimental study of a spanwise structure around a reattachment region of a two-dimensional backward-facing step. Exp Fluids 32:179–187CrossRefGoogle Scholar
  12. Grant I, Owens E, Yan Y (1992) Particle image velocimetry measurements of the separated flow behind a rearward facing step. Exp Fluids 12:238–244Google Scholar
  13. Huang H, Fiedler H (1997) A DPIV study of a starting flow downstream of a backward-facing step. Exp Fluids 23:395–404Google Scholar
  14. Hunt J, Wray A, Moin P (1988) Eddies, stream and convergence zones in turbulent flows. Technical Report, Center for Turbulence Research CTR-S88:193Google Scholar
  15. Hussain AKMF (1986) Coherent structures and turbulence. J Fluid Mech 173:303–356Google Scholar
  16. Isomoto K, Honami S (1989) The effect of inlet turbulence intensity on the reattachment process over a backward-facing step. J Fluids Eng 111:87–92Google Scholar
  17. Jeong J, Hussain F (1995) On the identification of a vortex. J Fluid Mech 285:69–94Google Scholar
  18. Kailas SV, Narasimha R (1999) The eduction of structures from imagery using wavelets. Part 1. The mixing layer. Exp Fluids 27:167–174CrossRefGoogle Scholar
  19. Kostas J, Soria J, Chong MS (2002) Particle image velocimetry measurements of a backward-facing step flow. Exp Fluids 33(6):838–853Google Scholar
  20. Lai JCS, Yue J, Platzer MF (2002) Control of backward-facing step flow using a flapping foil. Exp Fluids 32:44–54CrossRefGoogle Scholar
  21. Le H, Moin P (1994) Direct numerical simulation of turbulent flow over a backward-facing step. Thermosciences Division, Department of Mechanical Engineering, Stanford University, Report TF-58Google Scholar
  22. Lesieur M (1997) Turbulence in fluids, 3rd edn. Kluwer, DordrechtGoogle Scholar
  23. Perry A, Chong M (1994) Topology of flow patterns in vortex motions and turbulence. Appl Sci Res 53:357–374Google Scholar
  24. Raffel M, Willert C, Kompenhans J (1998) Particle image velocimetry—a practical guide. Springer, Berlin Heidelberg New YorkGoogle Scholar
  25. Robinson SK, Kline SJ, Spalart PR (1989) A review of quasi-coherent structures in a numerically simulated turbulent boundary layer. NASA TM 102191Google Scholar
  26. Robinson SK (1991) Coherent motions in the turbulent boundary layer. Ann Rev Fluid Mech 23:601–639Google Scholar
  27. Scarano F, Benocci C, Riethmuller ML (1999) Pattern recognition analysis of the turbulent flow past a backward facing step. Phys Fluids 11:3808–3818Google Scholar
  28. Scarano F, Riethmuller ML (2000) Advances in iterative multigrid PIV image processing. Exp Fluids 29:S51–S60CrossRefGoogle Scholar
  29. Scarano F (2002) Iterative image deformation methods in PIV. Meas Sci Technol 13:R1–R19Google Scholar
  30. Schram C (2002) Application of wavelet transform to vortical flows. In: Post-processing of experimental and numerical data, VKI Lecture Series 2002-04. Von Karman Institute for Fluid Dynamics, Rhode-St-GenèseGoogle Scholar
  31. Schram C, Riethmuller ML (2001) Vortex ring evolution in an impulsively started jet using digital particle image velocimetry and continuous wavelet analysis. Meas Sci Technol 12:1413–1421Google Scholar
  32. Silveira Neto A, Grand D, Métais O, Lesieur M (1993) A numerical investigation of the coherent vortices in turbulence behind a backward-facing step. J Fluid Mech 256:1–25Google Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.von Karman Institute for Fluid DynamicsRhode-St-GenèseBelgium

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