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Fundamental Problematic Issues in Turbulence : Trends in Mathematics - Albert Gyr

Fundamental Problematic Issues in Turbulence

Trends in Mathematics

By: Albert Gyr (Editor), Wolfgang Kinzelbach (Editor), Arkady Tsinober (Editor)

Hardcover Published: 1st August 1999
ISBN: 9783764361501
Number Of Pages: 480

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The Second Monte Verita Colloquium Fundamental Problematic Issues in Turbu- lence was held in Monte Verita, Switzerland, on March 23-27, 1998. The main goal of the Colloquium was to bring together in the relaxed atmo- sphere of Monte Verita a group of leading scientists (consisting of representatives of different generations) and to discuss informally and free of the influence of funding agencies and/or other "politics" of nonscientific nature the basic issues of turbulence. The intention was to put major emphasis on the exposition of the problematic aspects and discussion(s) - not mere reporting of results, i. e. not hav- ing just one more meeting. For this purpose it was originally thought to leave all the afternoons free of formal presentations at all. However, this intention became unrealistic due to a number of reasons, and, in the first place, due to strong pres- sure from various parts of the scientific community and non-scientific constraints to broaden the scope and to increase the number of participants as compared to the First Colloquium held in 1991. This resulted in a considerable reduction of time for discussions. Nevertheless, the remaining time for discussions was much larger than usually allocated at scientific conferences. On the scientific side the main idea was to bring together scientists work- ing in turbulence from different fields, such as mathematics, physics, engineering and others. In this respect the Colloquium was definitely very successful and re- sulted in a number of interesting interactions and contacts.

Preface
Mathematical issues
Does turbulence saturate global transport estimates?p. 3
The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes systemp. 17
Vorticity alignment results for the 3D Euler and Navier-Stokes equationsp. 25
On the finite-time singularity problem in hydrodynamicsp. 33
The outer regions in singular Eulerp. 41
Control and related
On controllability of the Navier-Stokes equationsp. 51
Low dimensional models, the minimal flow unit and controlp. 57
Active control of turbulence in boundary layer flowsp. 67
Origin and growth of structures in boundary layer flowsp. 75
Vortex control in a spatially growing round jetp. 83
Observational aspects
The lack of a simple paradigm in fully developed turbulence: characteristics of local concentrations of vorticity and Reynolds stress in turbulent shear flowsp. 95
Near-singular flow structure in small-scale turbulencep. 107
Some thoughts on similarity, the POD, and finite boundariesp. 117
Worms in a turbulence experiment, from hot wire time seriesp. 129
Intermittency in the closed flow between coaxial disksp. 141
Two- and quasi-two-dimensional flows
Turbulent statistical dynamics of a system of point vorticesp. 151
Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with wallsp. 163
Evolution of decaying two-dimensional turbulence and self-similarityp. 175
Linear and nonlinear models for turbulence in the presence of wavesp. 185
On the stationary energy spectra of the stratified fluid in a weak turbulence regimep. 195
On a possible mechanism of anomalous diffusion in geophysical turbulencep. 203
Basic aspects of turbulence modelling
Basic issues of turbulence modelingp. 213
Physics and modeling of small scale turbulence for large eddy simulationp. 221
On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctionsp. 233
Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulencep. 247
Subgrid modeling for the filtered scalar transport equationp. 257
Statistical aspects
Turbulent fluctuations, predictability, and action principlesp. 267
Instantons in the theory of turbulencep. 277
A variational approach to turbulent boundary layersp. 303
Scaling laws of a passive scalar energy flux in fully developed turbulencep. 307
Intermittency in channel-flow turbulencep. 313
Structure functions in homogeneous and non-homogeneous turbulent flowsp. 319
Pressure fluctuations in a turbulent channelp. 329
Statistics of longitudinal and transverse velocity incrementsp. 337
Turbulent transport in a liquid layer heated on its free surfacep. 347
On the statistics of small-scale turbulence and its universalityp. 353
A new method to characterize inhomogeneous turbulencep. 361
Multiscale similarity of isotropic homogeneous turbulencep. 365
Passive objects
The role of Lagrangian chaos in the creation of multifractal measuresp. 381
On the geometry of two-dimensional slices of irregular level sets in turbulent flowsp. 405
Universal and nonuniversal properties of the passive scalar statisticsp. 419
Multi-scalar mixing and Lagrangian approachesp. 427
Turbulent transport of vector (magnetic) field: intermittency and anomalous scalingsp. 435
Intermittency and anomalous scalings of inertial particles distribution in turbulent flowp. 445
Scalar fluctuation PDF's and kinetics of turbulent mixingp. 457
Magnetohydrodynamics in turbulent swirling flowp. 467
List of participants and authorsp. 471
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764361501
ISBN-10: 3764361506
Series: Trends in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 480
Published: 1st August 1999
Publisher: SPRINGER VERLAG GMBH
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 2.69
Weight (kg): 0.87

Earn 587 Qantas Points
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