• [2013-03-07]

  Cascades in Quantum, Classical and Stratified Turbulence

Speaker： Prof. Robert Kerr 

Time：15:00 pm

Date：March 8, 2013

Venue：Room 210, COE Building No.1

Host: Prof. Zhensu She

Abstract:

Numerical results will be given for the generation of energy cascades to small scales from the interaction and reconnection of very long anti-parallel vortices for three types of flows: Superfluids, Navier-Stokes turbulence and stably stratified fluids. All are known to generate an energy cascade to small scales and a -5/3 kinetic energy spectrum in experiments and large isotropic forced or decaying simulations, but it has been very difficult to generate evidence for a cascade using simple combinations of initial vortices.

Biography:

Prof. Robert Kerr, School of Engineering, University of Warwick, Coventry CV4 7AL, UK

Research Interests:

Turbulence, nonlinear PDEs, atmospheric modelling

Most relevant recent publications:
D. Donzis, J.D Gibbon, A. Gupta, R.M. Kerr, R. Pandit, D. Vincenzi: 2013 Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations. arXiv:1302.1768v1
R.M Kerr: 2012 Incompressible hydrodynamic turbulence from a chain reaction of vortex reconnection events. arXiv:1212.3829v2
R. M. Kerr: 2012 Bounds on a singular attractor in Euler using vorticity moments. arXiv:1212.1106v1.
R.M. Kerr: 2012 Dissipation and enstrophy statistics in turbulence: Are the simulations and mathematics converging?
J. Fluid Mech. 700, 1-4.
R.M. Kerr, M. Oliver: 2011 The Ever-Elusive Blowup in the Mathematical Description of Fluids. In An Invitation to Mathematics: From Competitions to Research, D. Schleicher and M. Lackmann (eds.), pp. 137--164, Springer-Verlag, Berlin. Proceedings of the 50th International Mathematics Olympiad, Bremen, Germany, August 2009.
R.M. Kerr 2011: Vortex stretching as a mechanism for quantum kinetic energy decay, Phys. Rev. Lett. 106, 224501.

Research grants:
Leverhulme, Anti-paralell Vortex in three dimensional (01/04/2006 - 31/03/2009)
ONR, Environmental Turbulence Workshop (02/03/2006 - 17/03/2007)
EPSRC Generating High Resolution DNS for LES Comparisons (1.10.2005 - 30.9.2009)