Turbulence Structure and Vortex Dynamics

Edited volume on turbulence, first published in 2000.

J. C. R. Hunt (Edited by), J. C. Vassilicos (Edited by)

9780521175128, Cambridge University Press

Paperback, published 3 March 2011

322 pages
22.9 x 15.2 x 1.7 cm, 0.43 kg

"...recommended to a wide audience of mathematicians, engineers and scientists interested in gaining an understanding of turbulence, since it is a high-level state-of-the-art presentation of one of the intensively developing key directions of research in this field." Mathematical Reviews

The modern understanding of turbulence is that it is a collection of weakly correlated vortical motions, which, despite their intermittent and chaotic distribution over a wide range of space and time scales, actually consist of local characteristic 'eddy' patterns that persist as they move around under the influences of their own and other eddies' vorticity fields. Numerical simulations and experimental observations have now identified some forms and elements of 'life-cycles' of some of these structures. The articles in this volume, first published in 2000, examine a number of key questions that have engaged turbulence researchers for many years. Most involve mathematical analysis, but some describe numerical simulations and experimental results that focus on these questions. However, all are addressed to a wide cross-section of the turbulence community, namely mathematicians, engineers and scientists.

Introduction
1. Motion and expansion of a viscous vortex ring: elliptical slowing down and diffusive expansion Yasuhide Fukumoto and H. K. Moffatt
2. Stretching and compression of vorticity in the 3D Euler equations J. D. Gibbon, B. Galanti and R. M. Kerr
3. Structure of a new family of vortices of stretched non-axisymmetric vortices Stéphane le Dizès
4. Core dynamics of a coherent structure: a prototypical physical-space cascade mechanism? Dhoorjaty S. Pradeep and Fazle Hussain
5. Fundamental instabilities in spatially-developing wing wakes and temporally-developing vortex pairs C. H. K. Williamson, T. Leweke and G. D. Miller
6. Vortex lines and vortex triangles in superfluid helium Carlo F. Barenghi
7. Evolution of localized packets of vorticity and scalar in turbulence A. Leonard
8. Vortical structure and modelling of turbulence E. A. Novikov
9. The issue of local isotropy of velocity and scalar turbulent fields Z. Warhaft
10. Near-singular flow structure: dissipation and eduction J. C. Vassilicos
11. Vortex stretching versus production of strain/dissipation Arkaday Tsinober
12. Dynamics and statistics of vortical eddies in turbulence J. C. R. Hunt
13. Stability of vortex structures in a rotating frame Claude Cambon
14. LES and vortex topology in shear and rotating flows Marcel Lesieur, Pierre Comte and Olivier Métais
15. Conditional mode elimination with asymptotic freedom for isotropic turbulence at large Reynolds numbers David McComb and Craig Johnston.

Subject Areas: Maths for engineers [TBJ], Maths for scientists [PDE], Applied mathematics [PBW]