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Topological visualisation of focal structures in free shear flows

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Abstract

This paper describes a method for identifying and visualising the three-dimensional geometry of focal (vortex) structures in complex flows. The method is based primarily on the classification of the local topology as it is identified from the values of the velocity gradient tensor invariants. The identification of the local topology is reference frame invariant. Therefore, focal (vortex) structures can be unambiguously identified in these flows. A novel flow visualisation method is introduced whereby focal structures are rendered using a solid model view of the local topology. This new approach is applied to the identification of focal structures in three-dimensional plane mixing layer and plane wake flows.

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References

  • Chandrsuda, A., Mehta, R.D., Weir, A.D. and Bradshaw, P., Effect of free-stream turbulence on large structure in turbulent mixing layers.J. Fluid Mech. 85 (1978) 693–704.

    Google Scholar 

  • Chen, J., Chong, M., Soria, J., Sondergaard, R., Perry, A.E., Rogers, M., Moser, R. and Cantwell, B., A study of the topology of dissipating motions in direct numerical simulations of time-developing compressible and incompressible mixing layers. CTR Report SS90, Stanford University, Stanford, CA (1990).

    Google Scholar 

  • Chen, J.H., The topology of the compressible mixing layer.Bull. Am. Phys. Soc. 36(10) (1991) 2615.

    Google Scholar 

  • Chong, M., Perry, A.E. and Cantwell, B., A general classification of three-dimensional flow fields.Phys. Fluids A 2(5 (1990) 765–777.

    Google Scholar 

  • Comte, P. and Lesieur, M., Two manners of becoming three-dimensional for mixing layers. In V.V. Kozlov and A.V. Dovgal (eds),Separated Flows and Jets, Springer Verlag (1990).

  • Lopez, J.M. and Bulbeck, C.J., Behaviour of streamwise rib vortices in a three-dimensional mixing layer.Phys. Fluids A 5(7) (1993) 1694–1702.

    Google Scholar 

  • Rogers, M.M. and Moser, R.D., Mixing transition and the cascade to small scales in a plane mixing layer.Proc. of the IUTAM Sym. on Stirring and Mixing. UCSD, LaJolla, CA (1990).

    Google Scholar 

  • Rogers, M.M. and Moser, R.D., Spanwise scale selection in plane mixing layers. Submitted for publication toJ. Fluid Mech. 247 (1993) 321–337.

    Google Scholar 

  • Sondergaard, R., Chen, J., Soria, J. and Cantwell, B., Local topology of small scale motions in turbulent shear flows.8th Sym. on Turbulent Shear Flows, Munich, Germany (1991) 16.1.1–16.1.6.

  • Soria, J., Chong, M.S., Sondergaard, R., Perry, A.E. and Cantwell, B.J., A study of the fine scale motions of incompressible time-developing mixing layers.Phys. of Fluids 6(2) (1994) 871–884.

    Google Scholar 

  • Soria, J. and Chong, M.S., The structure of intense focal regions in a direct numerical wake flow calculation.9th Sym. on Turbulent Shear Flows, Kyoto, Japan (1993) 3.1.1–3.1.6.

  • Spalart, P.R., Moser, R.D. and Moser, M.M., Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions.J. Comp. Phys. 96 (1991) 297–324.

    Google Scholar 

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Soria, J., Cantwell, B.J. Topological visualisation of focal structures in free shear flows. Appl. Sci. Res. 53, 375–386 (1994). https://doi.org/10.1007/BF00849111

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  • DOI: https://doi.org/10.1007/BF00849111

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