<p><P>This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vort
IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25β30 August, 2006
β Scribed by Keith Moffatt (auth.), Alexey V. Borisov, Valery V. Kozlov, Ivan S. Mamaev, Mikhail A. Sokolovskiy (eds.)
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Leaves
- 489
- Series
- IUTAM Bookseries 6
- Edition
- 1
- Category
- Library
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β¦ Synopsis
This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The 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.
β¦ Table of Contents
Front Matter....Pages i-x
Vortex Dynamics: The Legacy of Helmholtz and Kelvin....Pages 1-10
Vortex Dynamics of Wakes....Pages 11-25
Vorticity Equation of 2D-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbulence....Pages 27-37
A New Integrable Problem of Motion of Point Vortices on The Sphere....Pages 39-53
Nonintegrability and Fractional Kinetics Along Filamented Surfaces....Pages 55-64
Two-Dimensional Turbulence on A Bounded Domain....Pages 65-75
Analogy of A Vortex-Jet Filament With The Kirchhoff Elastic Rod and Its Dynamical Extension....Pages 77-87
Adiabatic Invariance in Volume-Preserving Systems....Pages 89-107
Unstable-Periodic-Flow Analysis of Couette Turbulence....Pages 109-118
Motion of an Elliptic Vortex Ring and Particle Transport....Pages 119-124
Hetonic Quartet: Exploring the Transitions in Baroclinic Modons....Pages 125-133
Dynamics of a Solid Affected by a Pulsating Point Source of Fluid....Pages 135-150
Phase Transitions to Superrotation in a Coupled FluidβRotating Sphere System....Pages 151-161
Vortex Kelvin Modes with Nonlinear Critical Layers....Pages 163-175
Non-Divergent 2D Vorticity Dynamics and the Shallow Water Equations on the Rotating Earth....Pages 177-187
High-Dimensional Hamiltonian Dynamical Systems: Theory and Computational Realization for Theoretical Chemistry....Pages 189-203
On Statistical Mechanics of Vortex Lines....Pages 205-209
Numerical Verification of Weakly Turbulent Law of Wind Wave Growth....Pages 211-226
The Size Distribution Function For Mixed-Layer Thermals in The Convective Atmosphere....Pages 227-236
Families Of Translating Neutral Vortex Street Configurations....Pages 237-245
Lagrangian Flow Geometry of Tripolar Vortex....Pages 247-256
Clustering and Mixing of Floating Particles by Surface Waves....Pages 257-267
Resolution of Near-Wall Pressure in Turbulence on the Basis of Functional Approach....Pages 269-279
Triplet of Helical Vortices....Pages 281-290
Long-Wave Transition To Instability of Flows in Horizontally Extended Domains of Porous Media....Pages 291-301
Non-Dissipative and Low-Dissipative Shocks with Regular and Stochastic Structures in Non-Linear Media With Dispersion....Pages 303-312
Hyperchaos in Piezoceramic Systems with Limited Power Supply....Pages 313-322
About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surface....Pages 323-329
Nonintegrable Perturbations of Two Vortex Dynamics....Pages 331-340
Rossby Solitary Waves in the Presence of a Critical Layer....Pages 341-352
Adjustment of Lens-Like Stratified Axisymmetric Vortices to Pulsons....Pages 353-361
Evolution of an Intense Vortex in a Periodic Sheared Flow....Pages 363-372
Vortex Interaction in an Unsteady Large-Scale Shear/Strain Flow....Pages 373-381
Modified Shallow Water Equations. Simple Waves and Riemann Problem....Pages 383-392
Estimation of Optimal for Chaotic Transport Frequency of Non-Stationary Flow Oscillation....Pages 393-402
A Unified Linear Wave Theory of the Shallow Water Equations on a Rotating Plane....Pages 403-413
Chaotic Advection and Nonlinear Resonances in a Periodic Flow above Submerged Obstacle....Pages 415-423
Trapped Vortex Cores in Internal Solitary Waves Propagating in a Thin Stratified Layer Embedded in a Deep Homogeneous Fluid....Pages 425-434
On the Stability of Stratified Quasi-Geostrophic Currents with Vertical Shear above Isolated Topographic Features....Pages 435-443
Dynamics of Two Rings of Vortices on a Sphere....Pages 445-458
On the Motion of Two Mass Vortices in Perfect Fluid....Pages 459-468
Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions....Pages 469-479
On the Motion of A + 1 Vortices in a Two-Layer Rotating Fluid....Pages 481-490
Cascades of Period Multiplying in the Planar Hillβs Problem....Pages 491-500
Back Matter....Pages 501-501
β¦ Subjects
Fluids;Oceanography;Numerical and Computational Methods;Complexity;Engineering Fluid Dynamics
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