[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Log in

An automated vortex detection scheme using the wavelet transform of the d 2 field

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

A vortex detection scheme using the wavelet transform of the discriminant of the eigenvalues of the velocity gradient matrix (d 2) is presented in this paper. The use of d 2 field results in better eduction capability over the previously used test fields such as enstrophy since it automatically distinguishes shear layers from vortices. Level sets are used to refine the shape of the vortex without causing a huge computational penalty. Further, the algorithm is easily automated to aid batch processing. The detection scheme was applied to swirl flow fields, successfully estimating the vortex location, the core radius and the vortex shape.

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

Access this article

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Chakraborty P, Balachandar S, Adrian RJ (2005) On the relationships, between local vortex identification schemes. J Fluid Mech 535:189–214

    Article  MATH  MathSciNet  Google Scholar 

  • Elsinga GE, Scarano F, Wieneke B, van Oudheusden BW (2006) Tomographic particle image velocimetry. Exp Fluids 41:933–947

    Article  Google Scholar 

  • Elsinga GE, Adrian RJ, van Oudheusden BW, Scarano F (2007) Tomographic-PIV investigation of a high Reynolds number turbulent boundary layer. In: Proceedings of 7th international symposium on particle image velocimetry, Rome, Italy, 11–14 September

  • Farge M (1992) Wavelet transforms and their applications to turbulence. Annu Rev Fluid Mech 24:395–457

    Article  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  • Kailas SV, Narasimha R (1999) The eduction of structures from flow imagery using wavelets—Part I, The mixing layer, Exp Fluids 27:167–174

    Article  Google Scholar 

  • Malladi R, Sethian JA (1995) Image processing via level set curvature flow. Proc Natl Acad Sci USA 92:7046–7050

    Article  MATH  MathSciNet  Google Scholar 

  • Pullin DI (1992) Contour dynamics methods. Ann Rev Fluid Mech 24:89–115

    Article  MathSciNet  Google Scholar 

  • Raffel M, Willert C, Kompenhans J (1998) Particle image velocimetry—a practical guide. Springer, Berlin

    Google Scholar 

  • Ramamurthi K, Patnaik RK, Radhakrishnan A, Reddy PA, Govardhan RN (2005) Flow visualization studies of jets in the presence of loud pure tones. J Flow Vis Image Process 12:197–214

    Article  Google Scholar 

  • Reddy PA, Sujith RI, Chakravarthy SR (2006) Swirler flow field characteristics in a sudden expansion combustor geometry. J Propulsion Power 22:800–808

    Article  Google Scholar 

  • Schram C (2003) Aeroacoustics of subsonic jets: prediction of the sound produced by vortex pairing based on particle image velocimetry. PhD thesis, Physics Department, Technical University of Eindhoven, The Netherlands

  • Schram C, Rambaud P, Riethmuller ML (2004) Wavelet based eddy structure eduction from a backward facing step flow investigated using particle image velocimetry. Exp Fluids 36:233–245

    Article  Google Scholar 

  • Sethian JA (1996) A fast marching level set method for monotonically advancing fronts. Proc Natl Acad Sci USA 93(4):1591–1595

    Article  MATH  MathSciNet  Google Scholar 

  • Vollmers H (2001) Detection of vortices and quantitative evaluation of their main parameters from experimental velocity data. Meas Sci Technol 12:1199–1207

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank Mr. R. Kumara Gurubaran, Mr. E. Arunraj and A. Panduranga Reddy for providing the PIV data for the swirling jets.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. I. Sujith.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Varun, A.V., Balasubramanian, K. & Sujith, R.I. An automated vortex detection scheme using the wavelet transform of the d 2 field. Exp Fluids 45, 857–868 (2008). https://doi.org/10.1007/s00348-008-0505-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-008-0505-5

Keywords

Navigation