Fundamental Problematic Issues in Turbulence / Edition 1

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The intention of the book is to highlight the problematic aspects of t urbulence. The contributions treat a variety of mathematical, physical and engineering subjects related to turbulence. The topics include ma thematical issues, control and related problems, observational aspects , two- and quasi-two-dimensional flows, basic aspects of turbulence mo deling, statistical issues and passive scalars.

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Product Details

  • ISBN-13: 9783764361501
  • Publisher: Birkhauser Basel
  • Publication date: 8/1/1999
  • Series: Trends in Mathematics Series
  • Edition description: 1999
  • Edition number: 1
  • Pages: 480
  • Product dimensions: 1.13 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

1 Mathematical issues
Does turbulence saturate global transport estimates? 3
The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system 17
Vorticity alignment results for the 3D Euler and Navier-Stokes equations 25
On the finite-time singularity problem in hydrodynamics 33
The outer regions in singular Euler 41
2 Control and related
On controllability of the Navier-Stokes equations 51
Low dimensional models, the minimal flow unit and control 57
Active control of turbulence in boundary layer flows 67
Origin and growth of structures in boundary layer flows 75
Vortex control in a spatially growing round jet 83
3 Observational aspects
The lack of a simple paradigm in fully developed turbulence: characteristics of local concentrations of vorticity and Reynolds stress in turbulent shear flows 95
Near-singular flow structure in small-scale turbulence 107
Some thoughts on similarity, the POD, and finite boundaries 117
Worms in a turbulence experiment, from hot wire time series 129
Intermittency in the closed flow between coaxial disks 141
4 Two- and quasi-two-dimensional flows
Turbulent statistical dynamics of a system of point vortices 151
Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls 163
Evolution of decaying two-dimensional turbulence and self-similarity 175
Linear and nonlinear models for turbulence in the presence of waves 185
On the stationary energy spectra of the stratified fluid in a weak turbulence regime 195
On a possible mechanism of anomalous diffusion in geophysical turbulence 203
5 Basic aspects of turbulence modelling
Basic issues of turbulence modeling 213
Physics and modeling of small scale turbulence for large eddy simulation 221
On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctions 233
Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulence 247
Subgrid modeling for the filtered scalar transport equation 257
6 Statistical aspects
Turbulent fluctuations, predictability, and action principles 267
Instantons in the theory of turbulence 277
A variational approach to turbulent boundary layers 303
Scaling laws of a passive scalar energy flux in fully developed turbulence 307
Intermittency in channel-flow turbulence 313
Structure functions in homogeneous and non-homogeneous turbulent flows 319
Pressure fluctuations in a turbulent channel 329
Statistics of longitudinal and transverse velocity increments 337
Turbulent transport in a liquid layer heated on its free surface 347
On the statistics of small-scale turbulence and its universality 353
A new method to characterize inhomogeneous turbulence 361
Multiscale similarity of isotropic homogeneous turbulence 365
7 Passive objects
The role of Lagrangian chaos in the creation of multifractal measures 381
On the geometry of two-dimensional slices of irregular level sets in turbulent flows 405
Universal and nonuniversal properties of the passive scalar statistics 419
Multi-scalar mixing and Lagrangian approaches 427
Turbulent transport of vector magnetic field: intermittency and anomalous scalings 435
Intermittency and anomalous scalings of inertial particles distribution in turbulent flow 445
Scalar fluctuation PDF's and kinetics of turbulent mixing 457
Magnetohydrodynamics in turbulent swirling flow 467
List of participants and authors 471
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