Fundamental Problematic Issues in Turbulence

by Gyr, Albert; Kinzelbach, Wolfgang; Tsinober, Arkady

• ISBN13: 9783764361501
• ISBN10: 3764361506
• Format: Hardcover
• Copyright: 1999-09-01
• Publisher: Birkhauser

Summary

The intention of the book is to highlight the problematic aspects of turbulence. The contributions treat a variety of mathematical, physical and engineering subjects related to turbulence. The topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars. The main questions addressed are the controllability of turbulent flows, possible qualitative differences between pure two-dimensional and real quasi-two-dimensional turbulent flows, common features of two-dimensional and three-dimensional turbulence, universality (or not) of small-scale turbulence and its relation to large scales, the question of how realistic the prospects of reduced description of turbulent flows are, the necessity of dealing more with the physics of turbulence in general, and in turbulence modeling and (beyond) scaling properties, in particular.

Table of Contents

Preface	ix
1 Mathematical issues
Does turbulence saturate global transport estimates?	3	(14)
C. R. Doering
The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system	17	(8)
A. V. Fursikov
Vorticity alignment results for the 3D Euler and Navier-Stokes equations	25	(8)
J. D. Gibbon
On the finite-time singularity problem in hydrodynamics	33	(8)
R. B. Pelz
Y. Gulak
J. M. Greene
O. N. Boratav
The outer regions in singular Euler	41	(10)
R. M. Kerr
2 Control and related
On controllability of the Navier-Stokes equations	51	(6)
A. V. Fursikov
Low dimensional models, the minimal flow unit and control	57	(10)
J. L. Lumley
P. N. Blossey
B. Podvin-Delarue
Active control of turbulence in boundary layer flows	67	(8)
P. J. Ioannou
B. F. Farrell
Origin and growth of structures in boundary layer flows	75	(8)
B. F. Farrell
P. J. Ioannou
Vortex control in a spatially growing round jet	83	(12)
O. Metais
G. Urbin
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	(12)
J. G. Brasseur
Near-singular flow structure in small-scale turbulence	107	(10)
J. C. Vassilicos
Some thoughts on similarity, the POD, and finite boundaries	117	(12)
W. K. George
Worms in a turbulence experiment, from hot wire time series	129	(12)
F. Belin
F. Moisy
P. Tabeling
H. Willaime
Intermittency in the closed flow between coaxial disks	141	(10)
J.-F. Pinton
F. Chilla
S. Fauve
R. Labbe
4 Two- and quasi-two-dimensional flows
Turbulent statistical dynamics of a system of point vortices	151	(12)
H. Aref
P. L. Boyland
M. A. Stremler
D. L. Vainchtein
Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls	163	(12)
M. Farge
N. Kevlahan
C. Bardos
K. Schneider
Evolution of decaying two-dimensional turbulence and self-similarity	175	(10)
J. R. Herring
Y. Kimura
J. Chasnov
Linear and nonlinear models for turbulence in the presence of waves	185	(10)
C. Cambon
On the stationary energy spectra of the stratified fluid in a weak turbulence regime	195	(8)
P. Caillol
V. Zeitlin
On a possible mechanism of anomalous diffusion in geophysical turbulence	203	(10)
F. Dupont
R. I. McLachlan
V. Zeitlin
5 Basic aspects of turbulence modelling
Basic issues of turbulence modeling	213	(8)
M. Germano
Physics and modeling of small scale turbulence for large eddy simulation	221	(12)
C. Meneveau
J. O'Neil
F. Porte-Agel
S. Cerutti
M. B. Parlange
On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctions	233	(14)
D. Rempfer
Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulence	247	(10)
M. Oberlack
Subgrid modeling for the filtered scalar transport equation	257	(10)
A. Leonard
6 Statistical aspects
Turbulent fluctuations, predictability, and action principles	267	(10)
G. L. Eyink
Instantons in the theory of turbulence	277	(26)
V. Lebedev
A variational approach to turbulent boundary layers	303	(4)
E. A. Novikov
D. G. Dommermuth
Scaling laws of a passive scalar energy flux in fully developed turbulence	307	(6)
S. Ciliberto
E. Leveque
C. Baudet
G. Ruiz-Chavarria
Intermittency in channel-flow turbulence	313	(6)
F. Toschi
G. Amati
R. Piva
S. Succi
R. Benzi
Structure functions in homogeneous and non-homogeneous turbulent flows	319	(10)
P. Orlandi
R. A. Antonia
P. G. Esposito
Pressure fluctuations in a turbulent channel	329	(8)
O. Metais
E. Lamballais
M. Lesieur
Statistics of longitudinal and transverse velocity increments	337	(10)
W. van de Water
Turblent transport in a liquid layer heated on its free surface	347	(6)
A. Pumir
L. Blumenfeld
On the statistics of small-scale turbulence and its universality	353	(8)
Ch. Renner
B. Reisner
St. Luck
J. Peinke
R. Friedrich
A new method to characterize inhomogeneous turbulence	361	(4)
B. Reisner
Ch. Renner
St. Luck
J. Peinke
F. Chilla
R. Friedrich
Multiscale similarity of isotropic homogeneous turbulence	365	(16)
M. J. Huang
7 Passive objects
The role of Lagrangian chaos in the creation of multifractal measures	381	(24)
E. Ott
On the geometry of two-dimensional slices of irregular level sets in turbulent flows	405	(14)
P. E. Dimotakis
H. J. Catrakis
A. W. Cook
J. M. Patton
Universal and nonuniversal properties of the passive scalar statistics	419	(8)
G. Falkovich
Multi-scalar mixing and Lagrangian approaches	427	(8)
P. K. Yeung
Turbulent transport of vector (magnetic) field: intermittency and anomalous scalings	435	(10)
N. Kleeorin
I. Rogachevskii
Intermittency and anomalous scalings of intertial particles distribution in turbulent flow	445	(12)
T. Elperin
N. Kleeorin
I. Rogachevskii
Scalar fluctuation PDF's and kinetics of turbulent mixing	457	(10)
E. Villermaux
C. Innocenti
J. Duplat
Magnetohydrodynamics in turbulent swirling flow	467	(4)
J.-F. Pinton
P. Odier
S. Fauve
List of participants and authors	471