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Boundary conditions and vortex wandering

Published online by Cambridge University Press:  17 April 2014

S. P. Jammy ,
Nick Hills  and
David M. Birch
S. P. Jammy
Affiliation:
Department of Mechanical Engineering Sciences, University of Surrey, Guildford, Surrey GU2 7XH, UK
Nick Hills
Affiliation:
Department of Mechanical Engineering Sciences, University of Surrey, Guildford, Surrey GU2 7XH, UK
David M. Birch*
Affiliation:
Department of Mechanical Engineering Sciences, University of Surrey, Guildford, Surrey GU2 7XH, UK
*
†Email address for correspondence: d.birch@surrey.ac.uk
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Abstract

A direct numerical simulation of a Batchelor vortex has been carried out in the presence of freely decaying turbulence, using both periodic and symmetric boundary conditions; the latter most closely approximates typical experimental conditions, while the former is often used in computational simulations for numerical convenience. The higher-order velocity statistics were shown to be strongly dependent upon the boundary conditions, but the dependence could be mostly eliminated by correcting for the random, Gaussian modulation of the vortex trajectory, commonly referred to as ‘wandering’, using a technique often employed in the analysis of experimental data. Once this wandering had been corrected for, the strong peaks in the Reynolds stresses normally observed at the vortex centre were replaced by smaller local extrema located within the core region but away from the centre. The distributions of the corrected Reynolds stresses suggest that the formation and organization of secondary structures within the core is the main mechanism in turbulent production during the linear growth phase of vortex development.

JFM classification

Turbulent Flows: Turbulent Flows Vortex Flows: Vortex dynamics Vortex Flows: Vortex Flows

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 747 , 25 May 2014 , pp. 350 - 368
Copyright
© 2014 Cambridge University Press 

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References

Bailey, S. C. C. & Tavoularis, S. 2008 Measurements of the velocity field of a wing-tip vortex, wandering in grid turbulence. J. Fluid Mech. 601, 281–315.Google Scholar
Batchelor, G. K. 1964 Axial flow in trailing line vortices. J. Fluid Mech. 20, 645–658.Google Scholar
Beninati, M. & Marshall, J. 2005 An experimental study of the effect of free-stream turbulence on a trailing vortex. Exp. Fluids 38, 244–257.Google Scholar
Birch, D. M. 2012 Self-similarity of trailing vortices. Phys. Fluids 24 (2), 025105.Google Scholar
Birch, D. M. & Lee, T. 2005 Investigation of the near-field tip vortex behind an oscillating wing. J. Fluid Mech. 544, 201–241.Google Scholar
Birch, D. M., Lee, T., Mokhtarian, F. & Kafyeke, F. 2004 Structure and induced drag of a tip vortex. J. Aircraft 41 (5), 1138–1145.Google Scholar
Birch, D. M. & Martin, N. 2013 Tracer particle momentum effects in vortex flows. J. Fluid Mech. 723, 665–691.Google Scholar
Bradshaw, P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241–258.Google Scholar
Dauzats, S., Helie, J., Bedat, B. & Poinsot, T.2002 Homogenous isotropic turbulence. Available at: http://www.cerfacs.fr/∼ntmix/qpf.html.Google Scholar
Devenport, W. J., Rife, M. C., Liapis, S. I. & Follin, G. J. 1996 The structure and development of a wing-tip vortex. J. Fluid Mech. 312, 67–106.Google Scholar
Duraisamy, K. & Lele, S. K. 2008 Evolution of isolated turbulent trailing vortices. Phys. Fluids 20, 035102.Google Scholar
Froehlich, J., Garcia-Villalba, M. & Rodi, W. 2008 Scalar mixing and large-scale coherent structures in a turbulent swirling jet. Flow Turbul. Combust. 80 (1), 47–59.Google Scholar
Giuni, M.2013 Formation and early development of wingtip vortices. PhD thesis, University of Glasgow.Google Scholar
Goto, S. 2008 A physical mechanism of the energy cascade in homogeneous isotropic turbulence. J. Fluid Mech. 605, 355–366.Google Scholar
Hélie, J.2001 Numerical simulation and modelling of premixed flame propagation in a richness-stratified medium (in French). PhD thesis, Institut National Polytechnique de Toulouse.Google Scholar
Iungo, G. V., Skinner, P. & Buresti, G. 2009 Correction of wandering smoothing effects on static measurements of a wing-tip vortex. Exp. Fluids 46, 435–452.Google Scholar
van Jaarsveld, J. P. J., Holten, A. P. C., Elsenaar, A., Trieling, R. R. & van Heijst, G. J. F. 2011 An experimental study of the effect of external turbulence on the decay of a single vortex and a vortex pair. J. Fluid Mech. 670, 214–239.Google Scholar
Kroo, I. 2001 Drag due to lift: concepts for prediction and reduction. Annu. Rev. Fluid Mech. 33, 587–617.Google Scholar
Kurihara, Y., Bender, M. A. & Ross, R. J. 1993 An initialization scheme of hurricane models by vortex specification. Mon. Weath. Rev. 121 (7), 2030–2045.Google Scholar
Laizet, S. & Lamballais, E. 2009 High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228 (16), 5989–6015.Google Scholar
Lele, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1), 16–42.CrossRefGoogle Scholar
McCormick, B., Tangler, J. & Sherrieb, H. 1968 Structure of trailing vortices. J. Aircraft 5 (3), 260–267.CrossRefGoogle Scholar
Melander, M. & Hussain, F. 1993 Coupling between a coherent structure and fine-scale turbulence. Phys. Rev. E 48 (4), 2669–2688.Google Scholar
Pradeep, D. S. & Hussain, F. 2004 Effects of boundary condition in numerical simulations of vortex dynamics. J. Fluid Mech. 516, 115–124.Google Scholar
Qin, J. H.1998 Numerical simulations of a turbulent axial vortex. PhD thesis, Purdue University.Google Scholar
Ramaprian, B. R. & Zheng, Y. 1998 Near field of the tip vortex behind an oscillating rectangular wing. AIAA J. 36, 1263–1269.Google Scholar
Spalart, P. 1998 Airplane trailing vortices. Annu. Rev. Fluid Mech. 30, 107–138.Google Scholar
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97–120.Google Scholar
Wang, Z. J. 2005 Dissecting insect flight. Annu. Rev. Fluid Mech. 37, 183–210.Google Scholar
Zhang, W. & Sarkar, P. P. 2012 Near-ground tornado-like vortex structure resolved by particle image velocimetry. Exp. Fluids 52, 479–493.Google Scholar