IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence

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Format: Hardcover
Pub. Date: 2008-02-06
Publisher(s): Springer Nature
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Summary

This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006).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 the 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.

Table of Contents

Iutam Symposium on Hamiltonian Dynamics, Vortex Structures and Turbulence, Moscow, 25-30 August 2006p. xi
Vortex Dynamics: The Legacy of Helmholtz and Kelvinp. 1
Vortex Dynamics of Wakesp. 11
Vorticity Equation of 2d-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbulencep. 27
A New Integrable Problem of Motion of Point Vortices on the Spherep. 39
Nonintegrability and Fractional Kinetics Along Filamented Surfacesp. 55
Two-Dimensional Turbulence on a Bounded Domainp. 65
Analogy of a Vortex-Jet Filament with the Kirchhoff Elastic Rod and its Dynamical Extensionp. 77
Adiabatic Invariance in Volume-Preserving Systemsp. 89
Unstable-Periodic-Flow Analysis of Couette Turbulencep. 109
Motion of an Elliptic Vortex Ring and Particle Transportp. 119
Hetonic Quartet: Exploring the Transitions in Baroclinic Modonsp. 125
Dynamics of a Solid Affected by a Pulsating Point Source of Fluidp. 135
Phase Transitions to Superrotation in a Coupled Fluid รน Rotating Sphere Systemp. 151
Vortex Kelvin Modes with Nonlinear Critical Layersp. 163
Non-Divergent 2d Vorticity Dynamics and the Shallow Water Equations on the Rotating Earthp. 177
High-Dimensional Hamiltonian Dynamical Systems: Theory and Computational Realization for Theoretical Chemistryp. 189
On Statistical Mechanics of Vortex Linesp. 205
Numerical Verification of Weakly Turbulent Law of Wind Wave Growthp. 211
The Size Distribution Function for Mixed-Layer Thermals in the Convective Atmospherep. 227
Families of Translating Neutral Vortex Street Configurationsp. 237
Lagrangian Flow Geometry of Tripolar Vortexp. 247
Clustering and Mixing of Floating Particles by Surface Wavesp. 257
Resolution of Near-Wall Pressure in Turbulence on the Basis of Functional Approachp. 269
Triplet of Helical Vorticesp. 281
Long-Wave Transition to Instability of Flows in Horizontally Extended Domains of Porous Mediap. 291
Non-Dissipative and Low-Dissipative Shocks with Regular and Stochastic Structures in Non-Linear Media with Dispersionp. 303
Hyperchaos in Piezoceramic Systems with Limited Power Supplyp. 313
About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surfacep. 323
Nonintegrable Perturbations of Two Vortex Dynamicsp. 331
Rossby Solitary Waves in the Presence of a Critical Layerp. 341
Adjustment of Lens-Like Stratified Axisymmetric Vortices to Pulsonsp. 353
Evolution of an Intense Vortex in a Periodic Sheared Flowp. 363
Vortex Interaction in an Unsteady Large-Scale Shear/Strain Flowp. 373
Modified Shallow Water Equations. Simple Waves and Riemann Problemp. 383
Estimation of Optimal for Chaotic Transport Frequency of Non-Stationary Flow Oscillationp. 393
A Unified Linear Wave Theory of the Shallow Water Equations on a Rotating Planep. 403
Chaotic Advection and Nonlinear Resonances in a Periodic Flow Above Submerged Obstaclep. 415
Trapped Vortex Cores in Internal Solitary Waves Propagating in a Thin Stratified Layer Embedded in a Deep Homogeneous Fluidp. 425
On The Stability of Stratified Quasi-Geostrophic Currents with Vertical Shear above Isolated Topographic Featuresp. 435
Dynamics of Two Rings of Vortices on a Spherep. 445
On the Motion of Two Mass Vortices in Perfect Fluidp. 459
Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributionsp. 469
On The Motion of A+1 Vortices in a Two-Layer Rotating Fluidp. 481
Cascades of Period Multiplying in the Planar Hill's Problemp. 491
Table of Contents provided by Ingram. All Rights Reserved.

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