IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25-30 August, 2006 / Edition 1

IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25-30 August, 2006 / Edition 1

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Springer Netherlands


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IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25-30 August, 2006 / Edition 1

This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). This study of vortex motion is of great interest to fluid and gas dynamics; since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important. The last few decades have shown that serious possibilities for progress in the research of real turbulent vortex motions are essentially related to the combined use of mathematical methods, computer simulation and laboratory experiments. These approaches have led to a series of interesting results which allow us to study these processes from new perspectives. Based on this principle, the papers collected in this proceedings volume present new results on theoretical and applied aspects of the processes of formation and evolution of various flows, wave and coherent structures in gas and fluid. Much attention is given to the studies of nonlinear regular and chaotic regimes of vortex interactions, advective and convective motions. The contributors are leading scientists engaged in fundamental and applied aspects of the above mentioned fields.

Product Details

ISBN-13: 9781402067433
Publisher: Springer Netherlands
Publication date: 02/06/2008
Series: IUTAM Bookseries , #6
Edition description: 2008
Pages: 501
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Iutam Symposium on Hamiltonian Dynamics, Vortex Structures and Turbulence, Moscow, 25-30 August 2006 Keith Moffatt xi

Vortex Dynamics: The Legacy of Helmholtz and Kelvin Keith Moffatt 1

Vortex Dynamics of Wakes Hassan Aref 11

Vorticity Equation of 2d-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbulence Valery V. Kozlov 27

A New Integrable Problem of Motion of Point Vortices on the Sphere Alexey V. Borisov Alexander A. Kilin Ivan S. Mamaev 39

Nonintegrability and Fractional Kinetics Along Filamented Surfaces George M. Zaslavsky 55

Two-Dimensional Turbulence on a Bounded Domain GertJan van Heijst Herman Clercx 65

Analogy of a Vortex-Jet Filament with the Kirchhoff Elastic Rod and its Dynamical Extension Yasuhide Fukumoto 77

Adiabatic Invariance in Volume-Preserving Systems Anatoly Neishtadt Dmitri Vainchtein Alexei Vasiliev 89

Unstable-Periodic-Flow Analysis of Couette Turbulence Shigeo Kida Takeshi Waianabe Takao Taya 109

Motion of an Elliptic Vortex Ring and Particle Transport Yoshi Kimura 119

Hetonic Quartet: Exploring the Transitions in Baroclinic Modons Ziv Kizner 125

Dynamics of a Solid Affected by a Pulsating Point Source of Fluid Andrey Morgulis Vladimir Vladimirov 135

Phase Transitions to Superrotation in a Coupled Fluid - Rotating Sphere System Chjan C. Lim 151

Vortex Kelvin Modes with Nonlinear Critical Layers Sherwin A. Maslowe Nilima Nigam 163

Non-Divergent 2d Vorticity Dynamics and the Shallow Water Equations on the Rotating Earth Nathan Paldor 177

High-Dimensional Hamiltonian Dynamical Systems: Theory and Computational Realization for Theoretical Chemistry Stephen Wiggins 189

On Statistical Mechanics ofVortex Lines Victor Berdichevsky 205

Numerical Verification of Weakly Turbulent Law of Wind Wave Growth Sergei I. Badulin Alexander V. Babanin Vladimir E. Zakharov Donald T. Resio 211

The Size Distribution Function for Mixed-Layer Thermals in the Convective Atmosphere Alexander N. Vul'fson 227

Families of Translating Neutral Vortex Street Configurations Kevin A. O'Neil 237

Lagrangian Flow Geometry of Tripolar Vortex Lorena A. Barba Oscar U. Velasco Fuentes 247

Clustering and Mixing of Floating Particles by Surface Waves Sergei Lukaschuk Petr Denissenko Gregory Falkovich 257

Resolution of Near-Wall Pressure in Turbulence on the Basis of Functional Approach Efim Kudashev 269

Triplet of Helical Vortices Valery L. Okulov Igor V. Naumov Wen Z. Shen Jens N. Sorensen 281

Long-Wave Transition to Instability of Flows in Horizontally Extended Domains of Porous Media Andrej B'ichev George Tsypkin 291

Non-Dissipative and Low-Dissipative Shocks with Regular and Stochastic Structures in Non-Linear Media with Dispersion Igor B. Bakholdin 303

Hyperchaos in Piezoceramic Systems with Limited Power Supply Alexandr Yu. Shvets Tatyana S. Krasnopolskaya 313

About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surface Roman V. Shamin 323

Nonintegrable Perturbations of Two Vortex Dynamics Denis Blackmore 331

Rossby Solitary Waves in the Presence of a Critical Layer Philippe Caillol Roger H. Grimshaw 341

Adjustment of Lens-Like Stratified Axisymmetric Vortices to Pulsons Georgi G. Sutyrin 353

Evolution of an Intense Vortex in a Periodic Sheared Flow Georgi Sutyrin Xavier Carton 363

Vortex Interaction in an Unsteady Large-Scale Shear/Strain Flow Xavier Perrot Xavier Carton 373

Modified Shallow Water Equations. Simple Waves and Riemann Problem Kirill V. Karelsky Aralel S. Peirosyan 383

Estimation of Optimal for Chaotic Transport Frequency of Non-Stationary Flow Oscillation Yury Izrailsky Konstantin Koshel Dmitry Stepanov 393

A Unified Linear Wave Theory of the Shallow Water Equations on a Rotating Plane Nathan Paldor Audrey Sigalov 403

Chaotic Advection and Nonlinear Resonances in a Periodic Flow Above Submerged Obstacle Peter A. Davies Konstantin V. Koshel Mikhail A. Sokolovskiy 415

Trapped Vortex Cores in Internal Solitary Waves Propagating in a Thin Stratified Layer Embedded in a Deep Homogeneous Fluid Oleg G. Derzho 425

On The Stability of Stratified Quasi-Geostrophic Currents with Vertical Shear above Isolated Topographic Features Valery N. Zyryanov 435

Dynamics of Two Rings of Vortices on a Sphere Alexey V. Borisov Ivan S. Mamaev 445

On the Motion of Two Mass Vortices in Perfect Fluid Sergey M. Ramodanov 459

Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions Kurt Ehlers Jair Koiller 469

On The Motion of A+1 Vortices in a Two-Layer Rotating Fluid Mikhail A. Sokolovskiy Jacques Verron 481

Cascades of Period Multiplying in the Planar Hill's Problem Alexandr B. Batkhin Natalia V. Batkhina 491

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