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Symposium on Turbulence Structure and Vortex Dynamics

March 15-19, 1999

Cambridge, United Kingdom

Mathematics

Host: saac Newton Institute for Mathematical Sciences
Sponsor: ERCOFTAC
Homepage: http://www.newton.cam.ac.uk/programs/trbw03.html

Organizers: J.C.R. Hunt, J.C. Vassilicos, J.C. Vassilicos (DAMTP, Cambridge), G.F. Hewitt (Imperial College, London), N.D. Sandham (Queen Mary & Westfield College, London), P.A. Monkewitz (EPF, Lausanne, Switzerland)

Deadline for abstracts: January 15, 1999

Description:
Turbulence is characterised by a large number of weakly correlated motions on a wide range of length-and-time-scales and appears disordered but also contains long-lived organised elements. Indeed, recent numerical and experimental observations have revealed the spontaneous formation of little shear layers and vortex tubes which are surrounded by what appears as a random and shapeless sea in the small scales of the turbulence.

First of all, there is a need to establish the importance of these vortical structures. Could they be thought of as 'eigen-structures', what are their stability properties, their geometrical statistics, how do they interact or not interact with each other and with surrounding turbulence, and what are their dissipative propertiesNULL Are the near-singularities of the turbulence or the conjectured finite-time singularities related to vortical or other (e.g. straining) sructures, and if so what kindNULL What are the Eulerian and the Langrangian properties of such structures, and how do their conditional statistics relate to the well-established unconditional Eulerian and Lagrangian statistics (e.g. spectra, energy cascades up-and-down-scale, relative motions of particles) and the scaling properties of the entire flowNULL To what extent can turbulence be represented in terms of space-filling functions such as Fourier or Chebychev basis functions or is it necessary to work in terms of localised functions such as waveletsNULL

Can answers to the above questions, in particular those relating to energy transfer and dissipation, be used for novel turbulence modellingNULL Finally, and most importantly, what are the universal aspects of the statistical, structural and modelling facets of the turbulence problem, and how do they relate to each otherNULL

This symposium will address the mathematical aspects of vortex dynamics including interactions between vortices and turbulence, representations of complex internal structure and connections to statistics and statistical modelling of turbulence. Developments in the study of university of small-scale turbulence will be emphasised.

Speakers: C.F. Barenghi (Newcastle, UK), J.G. Brasseur (Penn State, USA), J.C.R. Hunt (Cambridge, UK), C. Cambon (ECL, France), Y. Couder (ENS, Paris, France), Y. Fukumoto (Kyushu, Japan), J.D. Gibbon (Imperial, UK), F. Hussain (Houston, USA), R.M. Kerr (NCAR, USA), S. Le Dizes (Marseille, France), A. Leonard (Caltech, USA), M. Lesieur (Grenoble, France), T.S. Lundgren (Michigan, USA), W.D. McComb (Edinburgh, UK), H.K. Moffatt (Cambridge, UK), J.F. Morrison (Imperial College, UK), E. Novikov (UCSD, USA), K. Ohkitani (Kyoto, Japan), A.E. Perry (Melbourne, Australia), A. Tsinober (Tel Aviv, Israel), K.R. Sreenivasan (Yale, USA), J.C. Vassilicos (Cambridge, UK), Z. Warhaft (Cornell, USA), C.H.K. Williamson (Cornell, USA)

Mail Address:


Mrs. Heather Hughes
Isaac Newton Institute
20 Clarkson Road
Cambridge
CB3 0EH

Date received: January 20, 1999


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