IUTAM Symposium on Geometry and Statistics of Turbulence: Proceedings of the IUTAM Symposium held at the Shonan International Village Center, Hayama (Kanagawa-ken), Japan, November 1–5, 1999

401 Pages·2001·18.683 MB·English

by  Tomomasa Tatsumi (auth.), Tsutomu Kambe, Tohru Nakano, Toshio Miyauchi (eds.)

IUTAM SYMPOSIUM ON GEOMETRY AND
STATISTICS OF TURBULENCE
FLUID MECHANICS AND ITS APPLICATIONS
Volume 59
Series Editor: R. MOREAU
MADYIAM
Ecole Nationale Superieure d'Hydraulique de Grenoble
Bolte Postale 95
38402 Saint Martin d'Heres Cedex, France
Aims and Scope of the Series
The purpose of this series is to focus on subjects in which fluid mechanics plays a funda
mental role.
As well as the more traditional applications of aeronautics, hydraulics, heat and mass
transfer etc., books will be published dealing with topics which are currently in a state of
rapid development, such as turbulence, suspensions and multiphase fluids, super and hy
personic flows and numerical modelling techniques.
It is a widely held view that it is the interdisciplinary subjects that will receive intense
scientific attention, bringing them to the forefront of technological advancement. Fluids
have the ability to transport matter and its properties as well as transmit force, therefore
fluid mechanics is a subject that is particulary open to cross fertilisation with other scien
ces and disciplines of engineering. The subject of fluid mechanics will be highly relevant
in domains such as chemical, metallurgical, biological and ecological engineering. This
series is particularly open to such new multidisciplinary domains.
The median level of presentation is the first year graduate student. Some texts are mono
graphs defining the current state of a field; others are accessible to final year undergradu
ates; but essentially the emphasis is on readability and clarity.
For a list of related mechanics titles, see final pages.
IUTAM Symposium on
Geometry and
Statistics of Turbulence
Proceedings of the IUTAM Symposium
held at the Shonan International Village Center,
Hayama (Kanagawa-ken), Japan,
November 1-5, 1999
Edited by
T. KAMBE
University of Tokyo, Japan
T.NAKANO
Chuo University, Japan
and
T. MIYAUCHI
Tokyo Institute of Technology, Japan
....
''
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-5614-6 ISBN 978-94-015-9638-1 (eBook)
DOI 10.1007/978-94-015-9638-1
Printed on acid-free paper
All Rights Reserved
© 2001 Springer Science+B usiness Media Dordrecht
Originally published by Kluwer Academic Publishers in 2001
Softcover reprint of the hardcover 1st edition 2001
No part of the material protected by this copyright notice may be reproduced
or utilized in any form or by any means, electronic or mechanical,
including photocopying, recording or by any information storage and
retrieval system, without written permission from the copyright owner.
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Scientific Committee
T. Kambe (Chairman)
V.I. Arnold, Russia
R. Benzi, Italy
P. Constantin, USA
U. Frisch, Prance
J. Jimenez, Spain
H.K. Moffatt, UK
T. Tatsumi, Japan
Advisory (Local) Committee
I. Imai, Tokyo
H. Ohashi, Tokyo
T. Tatsumi, Kyo to
Local Organizing Committee
T. Kambe, Tokyo (Chairman)
Y. Fukumoto, Fukuoka T. Gotoh, Nagoya
F. Hamba, Tokyo K. Ishii, Nagoya
Y. Kaneda, Nagoya N. Kasasgi, Tokyo
T. Kawamura, Tokyo S. Kida, Toki
T. Miyauchi, Tokyo T. Miyazaki, Tokyo
T. Nakano, Tokyo K. Ohkitani, Kyoto
M. Umeki, Tokyo M. Yamada, Tokyo
K. Yamamoto, Tokyo A. Yoshizawa Tokyo
Sponsors of Symposium
This Symposium was held under the sponsorship of
International Union of Theoretical and Applied Mechanics
(IUTAM)
and the support of
Science Council of Japan.
The financial support has been made from the following foundations
and corporations:
Inoue Foundation for Science
The K ajima Foundation
Hewlett-Packard Japan, Ltd.
NEG Corporation
Special registration:
Zexel Corporation
YKK Corporation
Fuji Research Institute Corporation
Sanyo Electric Co., Ltd.
Daikin Industries, Ltd.
Seika Corporation
Contents
Preface XV
A. General and Mathematical 1
Mathematical Physics of Thrbulence
T. Tatsumi .......... . 3
The Topology of Scalar Fields in 2D and 3D Thrbulence
H.K. Moffatt . . . . . . . . . . . . . . . . . . . . . 13
Bounds for Thrbulent Transport
P. Constantin . . . . . . . . 23
Bulk Dissipation in Shear Layers with Suction
C.R. Doering, R. A. Worthing and E. A. Spiegel 33
Trying a Metric on Atmospheric Flows
R.A. Pasmanter and X.-L. Wang . . . . . . . . . 39
On the Analogy between 2D Vortices and Stellar Systems
P. H. Chavanis . . . . . . . . . . . . . . . . . . . . . 47
B. Coherent Structures, Intermittency, and Cascade 55
Self-Similarity and Coherence in the Thrbulent Cascade
J. Jimenez ..................... . 57
Coherent Fine Scale Structure in Thrbulence
T. Miyauchi and M. Tanahashi ..... 67
Coherent Fine Scale Eddies in Thrbulent Shear Flows and
it's Relation to Anisotropy
M. Tanahashi and T. Miyauchi ........... . 77
Shear Stress and Dissipation Intermittency in High-Reynolds-Number
Thrbulence
Y. Tsuji. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Characteristic Time Scales and Energy Transfer in MHD Thrbulence
Y. Hattori and A. Ishizawa . . . . . . . . . . . . . . . . . . . . 89
C. Probability Density Functions and Structure Functions 95
Statistics of Transverse Velocity Differences in Thrbulence
V. Yakhot ...................... . 97
xii
On a Complete Statistical Characterization of Thrbulence
R. Friedrich, St. Lueck, J. Peinke and Ch. Renner . . . . . . . . 107
Statistical Laws Governed by Vortex Structures
in Fully Developed Thrbulence
T. Kambe .................. . . ... 117
Probability Density Function of Longitudinal Velocity Increment
T. Nakano, D. Fukayama, T. Gotoh and K. Yamamoto 127
Statistics of Small-Scale Structure of Homogeneous Isotropic Thrbulence
T. Ishihara, Y. Yamazaki andY. Kaneda . . . . . . . . . . . . . . 133
On Universality of Statistics of Pressure Field in Homogeneous
Thrbulence
T. Gotoh and K. N agaya . . . . . . . . . . . . . . . . . . 139
A Statistical Law of Velocity Circulations in Fully Developed Thrbulence
K. Yoshida and N. Hatakeyama . . . . . . . . . . . . . . . . . . . 145
D. Passive Scalar Advections 151
Lagrangian Method for Multiple Correlations in Passive Scalar Advection
U. Frisch, A. Mazzino, A Noullez and M. Vergassola . . . . . . . . 153
Anomalous Scaling in Passive Scalar Advection and
Lagrangian Shape Dynamics
I. Arad and I. Procaccia . . . . . . . . . . . . . . ... 175
Correlation between Energy and Temperature Dissipation Rates
in Thrbulent Flows
R.A. Antonia, T. Zhou and G. Xu . . . . . . . . . . . . . . . . 185
Simulation of Scalar Fluctuation Field by a Non-Buoyant Plume in
Grid-Generated Thrbulence by Random Fourier Modes Method
Y. Sakai, T. Suzuki and I. Nakamura . . . . . . . . . . . . . . . . 191
E. Vortices, Vorticity, and Strain Dynamics 197
Spatiotemporal Structure of Thbular Vortices in Thrbulence
S. Kida, H. Miura and T. Adachi . . . . . . . . . . . . . . . . . . 199
Geometric Aspects of the Interaction of Vorticity and Strain
in Homogeneous Sheared Thrbulence
K. K. Nomura . . . . . . . . . . . . . . . . . . . . . . . . ... 205
Motion of a Curved Vortex Filament: Higher-Order Asymptotics
Y. Fukumoto .............................. 211
Statistics of Thrbulence around a Columnar Vortex
T. Miyazaki, H. Ishii and J.C.R. Hunt . . . . . . . . . . . 217