Topological fluid dynamics (IUTAM symposium)

Workshop theme

In an ideal fluid, vortex lines are transported with the fluid and their topology is conserved for so long as the field remains smooth; in particular, the helicity of the flow, providing a measure of the degree of linkage of vortex lines, is conserved. A central unsolved problem concerns the question of whether the vorticity field does remain smooth for all time under Euler evolution, or whether (alternatively) singularities at finite time may develop. Three-dimensional vortex interactions lie at the heart of this problem. Weak (viscous) diffusion modifies the evolution, but does not necessarily suppress singularity formation. Viscosity allows vortex reconnexion and therefore change of topology; this process provides for the finite rate of dissipation of energy in turbulence even in the limit of vanishing viscosity.

An IUTAM Symposium (Topological Fluid Dynamics I) was held in Cambridge UK in 1989, when the subject was in its infancy.[Topological Fluid Dynamics, Ed. H.K.Moffatt & A.Tsinober, CUP, 1990].

The main topics covered then were:

Flow kinematics and Lagrangian chaos;
Dynamo theory;
Relaxation and formation of discontinuities;
Two-dimensional and quasi-two-dimensional flows;
Topology of three-dimensional flows;
Vortex interaction and reconnexion;
Homogeneous turbulence;
Inhomogeneous turbulence and convective flows.

These topics remain as relevant today as they were in 1989; we propose however to focus primarily on the following topics, which are of particular current interest:

Steady vortical solutions of the Euler equations and their stability;
Interaction of vortex pairs, vortex rings, etc
Vortex reconnection by viscosity;
The finite-time singularity problem for Euler and Navier-Stokes;
Application to the structure of turbulence and the process of turbulent dissipation.

It is with great sadness that the International Scientific Committee of the forthcoming workshop announces the death of fellow committee member and Reynolds Metals Professor in the Department of Engineering Science and Mechanics at Virginia Tech, Hassan Aref, who died unexpectedly on 10 September 2011 aged 60.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Topological fluid dynamics (IUTAM symposium), where work on this paper was undertaken. This work was supported by EPSRC grant EP/F005431/1 and EP/I016392/1.

Timetable

Monday 23rd July 2012
09:45 to 10:30	Registration	No Room Required
10:30 to 11:00	Keith Moffatt University of Cambridge Welcome & Opening Remarks	Room 1
11:00 to 11:40	Charlie Doering University of Michigan Ultimate state of two-dimensional Rayleigh-Bénard convection	Room 1
11:45 to 12:05	Kai Schneider Aix Marseille Université On helical multiscale characterisation of homogeneous turbulence	Room 1
12:10 to 12:30	Otto Chkhetiani Pereslavl-Zalessky of the Russian Academy of Sciences Turbulent vorticity and helicity in stratified atmospheric boundary layer	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:40	Martin Oberlack Technische Universität Darmstadt New conservation laws of helical flows	Room 1
14:45 to 15:05	Michael Kurgansky Pereslavl-Zalessky of the Russian Academy of Sciences Simple models of helical baroclinic vortices	Room 1
15:10 to 15:30	Asher Yahalom Ariel University Center of Samaria Using fluid variational variables to obtain new analytic solutions with nonzero helicity	Room 1
15:35 to 15:55	Afternoon Tea	No Room Required
16:00 to 16:40	Phil Boyland University of Florida Exponential growth in two-dimensional topological fluid dynamics	Room 1
16:45 to 17:05	Satoshi Tanda Hokkaido University Topological crystals as a new paradigm	Room 1
17:10 to 17:30	Koji Ohkitani University of Sheffield Numerical and analytical study of an asymptotic equation for deformation of vortex lattices	Room 1
17:30 to 18:15	Drinks Reception	No Room Required
18:15 to 19:15	Dinner at Wolfson Court	No Room Required

Tuesday 24th July 2012
09:00 to 09:40	Daniel Peralta-Salas ICMAT Knotted vortex tubes in the Euler equation	Room 1
09:45 to 10:05	Alberto Enciso Universidad Autonoma de Madrid Knots and links in fluid mechanics	Room 1
10:10 to 10:30	Francesca Maggioni Università degli studi di Bergamo Velocity, energy and helicity of vortex knots and unknots	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:40	John Gibbon Imperial College London Intermittency and conditional regularity of solutions of the 3D Navier-Stokes equations	Room 1
11:45 to 12:05	Carlo Barenghi Newcastle University Quantum vortex reconnections	Room 1
12:10 to 12:30	An accurate and efficient method to compute steady vortices without symmetry	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:40	Eric Friedlander University of Southern California Instabilities and ill-posedness for the magnetogeostrophic equation	Room 1
14:45 to 15:05	Dissipation and enstrophy statistics in turbulence: are the simulations and mathematics converging?	Room 1
15:10 to 15:30	Dmitry Kolomenskiy Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS) Fluid dynamics of flapping wings associated with change of domain topology	Room 1
15:35 to 15:55	Vortical dynamo in turbulent multiphase flows	Room 1
15:55 to 16:05	Alexander Libin Tel Aviv University Coherent Beltrami Structures	Room 1
16:00 to 16:40	Afternoon Tea & Poster Session	Discussion Room
16:45 to 17:30	Morten Brøns Technical University of Denmark Relative equilibria of point vortices. (Aref Memorial Lecture)	Room 1
18:15 to 19:15	Dinner at Wolfson Court	No Room Required

Wednesday 25th July 2012
09:00 to 09:40	Boris Khesin University of Toronto The filament equation in any dimension	Room 1
09:45 to 10:05	Xin Liu University of Sydney Tackling structural complexity by Jones' polynomials	Room 1
10:10 to 10:30	Yoshihiko Mitsumatsu Chuo University Helicity in differential topology	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:40	Edriss Titi University of California, Irvine and Weizmann Institute of Science How much do we know about the problem of global regularity for the three-dimensional Navier-Stokes and Euler equations?	Room 1
11:45 to 12:05	Impulse of vortex knots from diagram projections	Room 1
12:10 to 12:30	A Soap-Film Mobius Strip Changes Topology with a Twist Singularity	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 19:00	Social Activity / Free Afternoon	No Room Required
19:30 to 22:00	Conference dinner at Emmanuel College	No Room Required

Thursday 26th July 2012
09:00 to 09:40	Jean-Luc Thiffeault University of Wisconsin-Madison Topological approaches to problems of stirring and mixing	Room 1
09:45 to 10:05	Gunnar Hornig University of Dundee Relaxation of braided magnetic and vorticity fields	Room 1
10:10 to 10:30	Oscar Velasco Fuentes CICESE - Centro de Investigación Científica y de Educación Superior de Ensenada Stirring vortices with vorticity holes	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:40	Mark Stremler Virginia Polytechnic Institute and State University Identifying topological chaos using set-oriented methods	Room 1
11:45 to 12:05	Yoshi Kimura Nagoya University Mass transport by vortex motions	Room 1
12:10 to 12:30	Witold Sadowski Uniwersytet Warszawski On the regularity of Lagrangian trajectories in the 3D Navier-Stokes flow	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:40	Shigeo Kida Kyoto University Instability by weak precession of the flow in a rotating sphere	Room 1
14:45 to 15:05	Yossi Elimelech Technion - Israel Institute of Technology Evolution of the leading edge vortex over an accelerating rotating wing	Room 1
15:10 to 15:30	Henryk Kudela Wroclaw University of Technology Parallel computation of vortex tube reconnection using graphics card and vortex particle methods	Room 1
15:35 to 15:55	Tomasz Lipniacki Polish Academy of Sciences Cascade of vortex loops initiated by a single reconnection of quantum vortices	Room 1
15:55 to 16:05	Stefanella Boatto Universidade Federal do Rio de Janeiro (UFRJ) Point-vortex dynamics and stability of relative equilibria on surfaces	Room 1
16:00 to 16:40	Afternoon Tea & Poster Session	Discussion Room
16:45 to 17:30	Diego Córdoba ICMAT Finite time singularities for the free boundary incompressible Euler equations	Room 1
18:15 to 19:15	Dinner at Wolfson Court	No Room Required

Friday 27th July 2012
09:00 to 09:40	Eckart Meiburg University of California, Santa Barbara Three-dimensional vorticity dynamics in miscible Hele-Shaw displacements	Room 1
09:45 to 10:05	Yuji Hattori Tohoku University Motion of axisymmetric magnetic eddies with swirl	Room 1
10:10 to 10:30	Makoto Hirota Japan Atomic Energy Agency & University of Texas at Austin Variational method for estimating nonlinear acceleration of collisionless magnetic reconnection	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:40	Zensho Yoshida University of Tokyo Singular Casimir elements: their mathematical justification and physical implications	Room 1
11:45 to 12:05	Yasuhide Fukumoto Kyushu University A unified view of topological invariants of barotropic & baroclinic fluids & their application to formal stability analysis of three-dimensional ideal gas flows	Room 1
12:10 to 12:30	Romain Nguyen-van-yen Freie Universität Berlin Non-stationary boundary layers and energy dissipation in incompressible flows	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:40	Stephen Childress Courant Institute of Mathematical Sciences How fast can vorticity stretch itself?	Room 1
14:45 to 15:05	Sahand Hormoz University of California Absence of singular stretching of interacting vortex filaments	Room 1
15:10 to 15:30	Bartosz Protas McMaster University Probing fundamental bounds in hydrodynamics using variational optimisation methods	Room 1
15:35 to 15:55	Closing Comments	Room 1
18:15 to 19:15	Dinner at Wolfson Court	No Room Required

Topological fluid dynamics (IUTAM symposium)

Speakers

Carlo Barenghi Newcastle University
Stefanella Boatto Universidade Federal do Rio de Janeiro (UFRJ)
Phil Boyland University of Florida
Morten Brøns Technical University of Denmark
Stephen Childress Courant Institute of Mathematical Sciences
Otto Chkhetiani Pereslavl-Zalessky of the Russian Academy of Sciences
Diego Córdoba ICMAT
Charlie Doering University of Michigan
Yossi Elimelech Technion - Israel Institute of Technology
Alberto Enciso Universidad Autonoma de Madrid
Eric Friedlander University of Southern California
Yasuhide Fukumoto Kyushu University
John Gibbon Imperial College London
Yuji Hattori Tohoku University
Makoto Hirota Japan Atomic Energy Agency & University of Texas at Austin
Sahand Hormoz University of California
Gunnar Hornig University of Dundee
Boris Khesin University of Toronto
Shigeo Kida Kyoto University
Yoshi Kimura Nagoya University
Dmitry Kolomenskiy Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS)
Henryk Kudela Wroclaw University of Technology
Michael Kurgansky Pereslavl-Zalessky of the Russian Academy of Sciences
Alexander Libin Tel Aviv University
Tomasz Lipniacki Polish Academy of Sciences
Xin Liu University of Sydney
Francesca Maggioni Università degli studi di Bergamo
Eckart Meiburg University of California, Santa Barbara
Yoshihiko Mitsumatsu Chuo University
Keith Moffatt University of Cambridge
Romain Nguyen-van-yen Freie Universität Berlin
Martin Oberlack Technische Universität Darmstadt
Koji Ohkitani University of Sheffield
Daniel Peralta-Salas ICMAT
Bartosz Protas McMaster University
Witold Sadowski Uniwersytet Warszawski
Kai Schneider Aix Marseille Université
Mark Stremler Virginia Polytechnic Institute and State University
Satoshi Tanda Hokkaido University
Jean-Luc Thiffeault University of Wisconsin-Madison
Edriss Titi University of California, Irvine and Weizmann Institute of Science
Oscar Velasco Fuentes CICESE - Centro de Investigación Científica y de Educación Superior de Ensenada
Asher Yahalom Ariel University Center of Samaria
Zensho Yoshida University of Tokyo

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Topological fluid dynamics (IUTAM symposium)

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

Supported By

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