Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-01-09T21:39:58.319Z Has data issue: false hasContentIssue false
  • English
  • Français

A numerical study of vortex interaction

Published online by Cambridge University Press:  20 April 2006

I. G. Bromilow  and
R. R. Clements
I. G. Bromilow
Affiliation:
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, U.K. Present address: Koninklijke/Shell Laboratorium, Amsterdam, Netherlands.
R. R. Clements
Affiliation:
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, U.K.
Get access Rights & Permissions [Opens in a new window]

Abstract

Flow visualization has shown that the interaction of line vortices is a combination of tearing, elongation and rotation, the extent of each depending upon the flow conditions. A discrete-vortex model is used to study the interaction of two and three growing line vortices of different strengths and to assess the suitability of the method for such simulation.

Many of the features observed in experimental studies of shear layers are reproduced. The controlled study shows the importance and rapidity of the tearing process under certain conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 146 , September 1984 , pp. 331 - 345
Copyright
© 1984 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acton, E. 1976 The modelling of large eddies in a two-dimensional shear layer. J. Fluid Mech. 76, 561.Google Scholar
Ashurst, W. T. 1977 Numerical simulation of turbulent mixing layers via vortex dynamics. Sandia Labs Rep. SAND 77–8613.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics, 5.12, p. 346. Cambridge University Press.
Bromilow, I. G. & Clements, R. R. 1982 Some techniques for extending the application of the discrete vortex method of flow simulation. Aero. Q. 33, 73.Google Scholar
Browand, F. K. 1966 An experimental investigation of the instability of an incompressible, separated shear layer. J. Fluid Mech. 26, 281.Google Scholar
Brown, G. L. & Roshko, A. 1974 Density effects and large structures in turbulent mixing layers. J. Fluid Mech. 64, 775.Google Scholar
Christiansen, J. P. & Zabusky, N. J. 1973 Instability, coalescence and fissions of finite-area vortex structures. J. Fluid Mech. 61, 219.Google Scholar
Damms, D. M. & Küchemann, D. 1974 On a vortex-sheet model for the mixing between two parallel streams. I. Description of the model and experimental evidence. Proc. R. Soc. Lond. A 339, 451.Google Scholar
Dimotakis, P. E. & Brown, G. L. 1976 The mixing layer at high Reynolds number: large-structure dynamics and entrainment. J. Fluid Mech. 78, 535.Google Scholar
Hama, F. R. & Burke, E. R. 1960 On the rolling up of a vortex sheet. Univ. Maryland. Tech. Note BN-220.Google Scholar
Kaye, G. W. C. & Laby, T. H. 1975 Tables of Physical and Chemical Constants. Longmans.
Maskew, B. 1977 Subvortex technique for the close approach to a discretized vortex sheet. J. Aircraft 14, 188.Google Scholar
Moore, D. W. 1979 The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. R. Soc. Lond. A 365, 105.Google Scholar
Moore, D. W. & Saffman, P. G. 1975 The density of organized vortices in a turbulent mixing layer. J. Fluid Mech. 69, 465.Google Scholar
van de Vooren, A. I. 1980 A numerical investigation of the rolling up of vortex sheets. Proc. R. Soc. Lond. A 373, 67.Google Scholar
Winant, G. D. & Browand, F. K. 1974 Vortex pairing: a mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237.Google Scholar