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Eddy Structures in a Simulated Low Reynolds Number Turbulent Boundary Layer

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Abstract

Coherent structures in a tripped turbulent boundary layer havebeen analysed by applying a new conditional sampling algorithm tolarge-eddy simulation (LES) data. The space-time development of theevents and structural characteristics were examined. The new conditionalsampling scheme is shown to be very effective in the eduction of thecoherent eddy structures, allowing the simultaneous detection, trackingand averaging of several three-dimensional (3-D) structures. Alignmentof the triggering events in all spatial directions and flip-averaging(spatial reflection of the samples) enhance significantly the extractionof detailed features of the structures. The detection method minimisesthe smearing of the spatial details and avoids imposing artificialsymmetry, which is often intrinsic to other conditional samplingschemes.

The results show the existence of cigar-shapedstreamwise vortices which are directly associated with negative pressurefluctuation peaks (positive source term of the pressure Poissonequation). They are inclined at 12° to the wall andtilted laterally at an angle of 7° to the streamwisedirection. The streamwise vortices induce ejections and sweeps throughan advection mechanism due to the tilting or inclination of thevortices. There is no evidence of hairpin vortices in either theconditional averages or instantaneous flow fields. Near-wall shearlayers are found to be related to the positive pressure fluctuationpeaks as a result of complex interactions between ejection and sweepevents. The shear layer structure has an inclination of10°, being located between two tilted, streamwisevortices of opposite direction of rotation.

The presentresults are very close to other Direct Numerical Simulation studiesusing different conditional sampling schemes. Conceptual models for thestreamwise vortices and shear layer structures are proposed to accountfor the results.

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References

  1. Adrian R.J., Stochastic estimation of the structure of turbulent fields. In: Bonnet, J.P. (ed.), Eddy Structure Identification. Springer-Verlag, Berlin (1996) pp. 145-196.

    Google Scholar 

  2. Antonia, R.A., Conditional sampling in turbulence measurement. Ann. Rev. Fluid Mech. 13(1981) 131-56.

    Google Scholar 

  3. Acarlat M.S. and Smith C.R., A study of hairpin vortices in a laminar boundary layer. Part 1: Hairpin vortices generated by a hemisphere protuberance. J. Fluid Mech. 175(1987) 1-41.

    Google Scholar 

  4. Bakewell, H.P. and Lumley, J.L., Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10(9) (1967) 1880-1889.

    Google Scholar 

  5. Bandyopadhyay P., Large structure with a characteristic upstream interface in turbulent boundary layers. Phys. Fluids 23(1980) 2326-2327.

    Google Scholar 

  6. Bernard, P.S., Thomas, J.M. and Handler, R.A., Vortex dynamics and the production of Reynolds stress. J. Fluid Mech. 253(1993) 385-419.

    Google Scholar 

  7. Blackwelder, R.F. and Kaplan, R.E., On the wall structure of the turbulent boundary layer. J. Fluid Mech. 76(1976) 89-112.

    Google Scholar 

  8. Brown, G.L. and Roshko, A., On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64(4) (1974) 775-816.

    Google Scholar 

  9. Gough, T., Gao, S., Hancock, P. and Voke, P.R., Experiment and simulation of the tripped boundary layer on a flat plate: Comparative study. Report ME-FD/95.40, Department of Mechanical Engineering, The University of Surrey, U.K. (1996).

    Google Scholar 

  10. Guezennec, Y.G. and Choi, W.C., Stochastic estimation of coherent structures in turbulent boundary layers. In: Kline, S.J. and Afgan, N.H. (eds), Near-Wall Turbulence, 1988 Zoran Zari´c Memorial Conference. Hemisphere Publishing Corporation, New York (1990) pp. 453-468.

    Google Scholar 

  11. Guezennec, Y.G., Piomelli, U. and Kim, J., On the shape and dynamics of wall structures in turbulent channel flow. Phys. Fluids 1(4) (1989) 764-766.

    Google Scholar 

  12. Hamilton, J.M., Kim. J. and Waleffe, F., Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287(1995) 317-348.

    Google Scholar 

  13. Head, M.R. and Bandyopadhyay, P., New aspects of turbulent boundary layer structure. J. Fluid Mech. 107(1981) 297-338.

    Google Scholar 

  14. Hunt, J.C.R., Wray A.A. and Moin P., Eddy streams and convergence zones in turbulent flows. In: Proceedings 1988 Summer Program. Center for Turbulent Research, Stanford University (1988) pp. 193-207.

  15. Jeong, J. and Hussain, F., On the identification of a vortex. J. Fluid Mech. 285(1995) 69-94.

    Google Scholar 

  16. Jeong, J., Hussain, F., Schoppa, W. and Kim, J., Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332(1997) 185-214.

    Google Scholar 

  17. Jiménez, J. and Moin, P., The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225(1991) 213-240.

    Google Scholar 

  18. Jiménez, J. and Orlandi, P., The rollup of a vortex near a wall. J. Fluid Mech. 248(1993) 297-313.

    Google Scholar 

  19. Johansson A.V., Her, J.Y. and Haritonidis J.H., On the generation of high-amplitude wallpressure peaks in turbulent boundary layers and spots. J. Fluid Mech. 175(1987) 119-142.

    Google Scholar 

  20. Johansson, A.V., Alfredsson, P.H. and Kim, J., Velocity and pressure fields associated with near-wall turbulence structures. In: Kline, S.J. and Afgan, N.H. (eds), Near-Wall Turbulence, 1988 Zoran Zari´c Memorial Conference. Hemisphere Publishing Corporation, New York (1990) pp. 368-380.

    Google Scholar 

  21. Johansson, A.V., Alfredsson, P.H. and Kim, J., Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224(1991) 579-599.

    Google Scholar 

  22. Kim, J., On the structure of wall-bounded turbulent flows. Phys. Fluids 26(8) (1983) 2088-2097.

    Google Scholar 

  23. Kim, J., Turbulence structures associated with the bursting event. Phys. Fluids 28(1) (1985) 52-58.

    Google Scholar 

  24. Kim, J., On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205(1989) 421-451.

    Google Scholar 

  25. Kim, J. and Hussain, F., Propagation velocity of perturbations in turbulent channel flow. Phys. Fluids A5(3) (1993) 695-706.

    Google Scholar 

  26. Kim, J, Moin, P. and Moser, R.D., Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177(1987) 133-166.

    Google Scholar 

  27. Kline, S.J., Reynolds, W.C., Schraub, F.A. and Runstadler, P.W., The structure of turbulent boundary layers. J. Fluid Mech. 30(4) (1967) 741-773.

    Google Scholar 

  28. Lo, S.H., Pattern recognition analysis of organised eddy structures in a numerically simulated turbulent plane jet. Ph.D. Thesis, Department of Aeronautical Engineeering, Queen Mary and Westfield College, University of London, U.K. (1993).

    Google Scholar 

  29. Lo, S.H., Eddy structures in a simulated plane jet educed by pattern recognition analysis. In: Voke P.R., Kleiser L. and Chollet J-P. (eds), Direct and Large-Eddy Simulation I. Kluwer Academic Publishers, Dordrecht (1993) pp. 25-36.

    Google Scholar 

  30. Lo, S.H. and Voke, P.R., Pattern recognition of organised eddy structures in a simulated turbulent jet. Report ME-FD/93.11, Department of Mechanical Engineering, University of Surrey, U.K. (1993).

    Google Scholar 

  31. Lo, S.H., Voke, P.R. and Rockliff, N.J., Three-dimensional vortices of a spatially developing plane jet. Internat. J. Fluid Dynam. 4(2000) http://elecpress.monash.edu.au/ijfd/.

  32. Moin, P. and Moser, R., Characteristic-eddy decomposition of turbulence in a channel. J. Fluid Mech. 200(1989) 471-509.

    Google Scholar 

  33. Phillips, W.R.C., On the nonlinear instability of strong wavy shear to longitudinal vortices. In: Debnath, L. and Riahi, D.N. (eds), Nonlinear Instability, Chaos and Turbulence. Computational Mechanics Publishers, U.K. (1998) pp. 251-273.

    Google Scholar 

  34. Phillips, W.R.C. and Wu. Z., On the instability of wave-catalysed longitudinal vortices in strong shear. J. Fluid Mech. 272(1994) 235-254.

    Google Scholar 

  35. Robinson, S.K., A perspective on coherent structures and conceptual models for turbulent boundary layer physics. In: AIAA 21st Fluids Dynamics, Plasma Dynamics and Lasers Conference. AIAA, Washington, DC (1990) pp. 1590-1638.

    Google Scholar 

  36. Robinson, S.K., Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23(1991) 601-639.

    Google Scholar 

  37. Robinson, S.K., Kline, S.J. and Spalart, S.J., Quasi-coherent structures in the turbulent boundary layer: Parts 1 and 2. In: Kline, S.J. and Afgan, N.H. (eds), Near-Wall Turbulence, 1988 Zoran Zari´c Memorial Conference. Hemisphere Publishing Corporation, New York (1990) pp. 218-247.

    Google Scholar 

  38. Stretch, D., Patterns in simulated turbulent channel flow. In: Annual Research Briefs. Center for Turbulence Research, Stanford University (1990).

    Google Scholar 

  39. Tsinober, A. and Levich, E., On the helical nature of three-dimensional coherent structures in turbulent flows. Phys. Lett. 99A(6-7) (1983) 321-324.

    Google Scholar 

  40. Voke, P.R., Affine matching pattern recognition analysis of eddy structures in a numerically simulated boundary layer. Theoret. Comput. Fluid Dynam. 5(1994) 141-152.

    Google Scholar 

  41. Voke, P.R., Subgrid-scale modelling at low mesh Reynolds number. Theoret. Comput. Fluid Dynam. 8(1996) 131-143.

    Google Scholar 

  42. Waleffe, F., Hydrodynamic stability and turbulence: beyond transients to a self-sustaining process. Stud. Appl. Math. 95(1995) 319-343.

    Google Scholar 

  43. Wallace, J.M., Eckelmann, H. and Brodkey, R.S., The wall region in turbulent shear flow. J. Fluid. Mech. 54(1) (1972) 39-48.

    Google Scholar 

  44. Willmarth, W.W. and Lu, S.S., Structure of the Reynolds stress near the wall, J. Fluid Mech. 55(1) (1972) 65-92.

    Google Scholar 

  45. Yule, A.J., Phase scrambling effects and turbulence data analysis. In: Bradbury, L.J.S. (ed.), Turbulent Shear Flows 2. Springer-Verlag, Berlin (1980) pp. 263-281.

    Google Scholar 

  46. Zhou, J., Adrian, R.J., Balachandra, S. and Kendall, T.M., Mechanisms for generating packets of hairpin vortices in channel flow. J. Fluid Mech. 387(1999) 353-396.

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical, Aeronautical and Production Engineering, Kingston University, London, SW15 3DW, U.K.

    Sing Hon Lo

  2. School of Mechanical and Materials Engineering, The University of Surrey, Guildford, GU2 5XH, U.K.

    Peter R. Voke & Nicole J. Rockliff

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  1. Sing Hon Lo
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  2. Peter R. Voke
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  3. Nicole J. Rockliff
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Lo, S.H., Voke, P.R. & Rockliff, N.J. Eddy Structures in a Simulated Low Reynolds Number Turbulent Boundary Layer. Flow, Turbulence and Combustion 64, 1–28 (2000). https://doi.org/10.1023/A:1009998008472

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