Coherent Structures and Statistical Mechanics in Two-dimensional Flows PDF Download

Author: Hanna Brands
Publisher:
ISBN: 9789057760105
Category : Fluid dynamics
Languages : en
Pages : 118

View

Book Description

Author: Nikhil Padhye
Publisher:
ISBN:
Category :
Languages : en
Pages : 78

View

Book Description

Author: Simon Thalabard
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

View

Book Description
The present manuscript deals with the statistical mechanics of some inviscid fluidmodels which are possibly relevant in the context of geophysics and astrophysics. Weinvestigate the case of axially symmetric flows, two-dimensional Boussinesq flows, andtwo-dimensional magneto-hydro fluids. Those flows can be loosely referred to as twodimensionalflows with three components (“2D3C”). In addition to the two-dimensionalvelocity field, they describe the evolution of an additional field variable, which representseither a magnetic current, a salinity, a temperature or a swirl depending on the situation.In common with the dynamics of strictly two-dimensional hydrodynamical flows, thenon-linear dynamics of 2D3C flows is constrained by the presence of an infinite numberof Casimir invariants, which emerge as dynamical invariants in the limit of a vanishingforcing and a vanishing dissipation . In common with three-dimensional flows, the vorticityis not only mixed but also stretched by the dynamics. The additional field may actas a source or a sink of kinetic energy. It is commonly believed that such flows have thepropensity to develop large scale coherent structures. Whether those long lived structuresare equilibrium or metastable structures is however not so clear, nor are the exactconditions of their emergence. The role of the Casimir invariants in constraining those isnot so obvious either.

Author: Michel Deville
Publisher: Springer Science & Business Media
ISBN: 3642002625
Category : Technology & Engineering
Languages : en
Pages : 166

View

Book Description
Contains seven keynote lectures of the TI 2006 conference that was held in Porquerolles, May 29-June 2, 2006. This book offers a view on theory, experiments and numerical simulations in the field of turbulence.

Author: Thierry Dauxois
Publisher: Springer
ISBN: 3540458352
Category : Science
Languages : en
Pages : 492

View

Book Description
Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.

Author: S.D. Chatterji
Publisher: Birkhäuser
ISBN: 3034890788
Category : Mathematics
Languages : en
Pages : 1669

View

Book Description
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Author: Marcel Lesieur
Publisher: Springer Science & Business Media
ISBN: 9401090181
Category : Science
Languages : en
Pages : 520

View

Book Description
Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been ad vocated during these last twenty years: the first one is "statistical", and tries to model the evolution of averaged quantities of the flow. This com munity, which has followed the glorious trail of Taylor and Kolmogorov, believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the "coherence among chaos" community, which considers turbulence from a purely deterministic po int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows.

Author: T. Dracos
Publisher: Birkhäuser
ISBN: 3034885857
Category : Technology & Engineering
Languages : en
Pages : 409

View

Book Description
This book contains the proceedings of a colloquium held in Monte Verit from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.

Author: D. Reguera
Publisher: Springer
ISBN: 3540446982
Category : Computers
Languages : en
Pages : 466

View

Book Description
A rich variety of real-life physical problems which are still poorly understood are of a nonlinear nature. Examples include turbulence, granular flows, detonations and flame propagation, fracture dynamics, and a wealth of new biological and chemical phenomena which are being discovered. Particularly interesting among the manifestations of nonlinearity are coherent structures. This book contains reviews and contributions reporting on the state of the art regarding the role of coherent structures and patterns in nonlinear science.

Author: M. Lesieur
Publisher: Springer Science & Business Media
ISBN: 3540456740
Category : Science
Languages : en
Pages : 566

View

Book Description
Following a longstanding tradition of the Les Houches Summer Schools, this book uses a pedagogically presented and accessible style to treat 2D and 3D turbulence from the experimental, theoretical and computational points of view.