IUTAM Symposium on Geometry and Statistics of Turbulence

1. Front Matter

   Pages i-xvi

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2. General and Mathematical

   1. Front Matter

      Pages 1-1

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   2. Opening Address

      • Tomomasa Tatsumi

      Pages 3-12

   3. The Topology of Scalar Fields in 2D and 3D Turbulence

      • H. K. Moffatt

      Pages 13-22

   4. Bounds for Turbulent Transport

      • Peter Constantin

      Pages 23-31

   5. Bulk Dissipation in Shear Layers with Suction

      • Charles R. Doering, Rodney A. Worthing, Edward A. Spiegel

      Pages 33-38

   6. Trying a metric on atmospheric flows

      • Rubén A. Pasmanter, Xue-Li Wang

      Pages 39-46

   7. On the Analogy between Two-Dimensional Vorticesand Stellar Systems

      • P. H. Chavanis

      Pages 47-53

3. Coherent Structures, Intermittency, and Cascade

   1. Front Matter

      Pages 55-55

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   2. Self-Similarity and Coherence in the Turbulent Cascade

      • Javier Jiménez

      Pages 57-66

   3. Coherent Fine Scale Structure in Turbulence

      • T. Miyauchi, M. Tanahashi

      Pages 67-76

   4. Coherent Fine Scale Eddies in Turbulent Shear Flows and It’s Relation to Anisotropy

      • M. Tanahashi, T. Miyauchi

      Pages 77-82

   5. Shear Stress and Dissipation Intermittency in High-Reynolds-Number Turbulence

      • Yoshiyuki Tsuji

      Pages 83-88

   6. Characteristic Time Scales and Energy Transfer in MHD Turbulence

      • Yuji Hattori, Akihiro Ishizawa

      Pages 89-94

4. Probability Density Functions and Structure Functions

   1. Front Matter

      Pages 95-95

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   2. Statistics of Transverse Velocity Differences in Turbulence

      • Victor Yakhot

      Pages 97-106

   3. On a Complete Statistical Characterization of Turbulence

      • R. Friedrich, St. Lueck, J. Peinke, Ch. Renner

      Pages 107-116

   4. Statistical Laws Governed by Vortex Structures in Fully Developed Turbulence

      • Tsutomu Kambe

      Pages 117-126

   5. Probability Density Function of Longitudinal Velocity Increment

      • T. Nakano, D. Fukayama, T. Gotoh, K. Yamamoto

      Pages 127-132

   6. Statistics of Small-Scale Structure of Homogeneous Isotropic Turbulence

      • T. Ishihara, Y. Yamazaki, Y. Kaneda

      Pages 133-138

This volume contains the papers presented at the IUTAM Symposium on Geometry and Statistics of Turbulence, held in November 1999, at the Shonan International Village Center, Hayama (Kanagawa-ken), Japan. The Symposium was proposed in 1996, aiming at organizing concen­ trated discussions on current understanding of fluid turbulence with empha­ sis on the statistics and the underlying geometric structures. The decision of the General Assembly of International Union of Theoretical and Applied Mechanics (IUTAM) to accept the proposal was greeted with enthusiasm. Turbulence is often characterized as having the properties of mixing, inter­ mittency, non-Gaussian statistics, and so on. Interest is growing recently in how these properties are related to formation and evolution of struc­ tures. Note that the intermittency is meant for passive scalars as well as for turbulence velocity or rate of dissipation. There were eighty-eight participants in the Symposium. They came from thirteen countries, and fifty-seven papers were presented. The presenta­ tions comprised a wide variety of fundamental subjects of mathematics, statistical analyses, physical models as well as engineering applications. Among the subjects discussed are (a) Degree of self-similarity in cascade, (b) Fine-scale structures and degree of Markovian property in turbulence, (c) Dynamics of vorticity and rates of strain, (d) Statistics associated with vortex structures, (e) Topology, structures and statistics of passive scalar advection, (f) Partial differential equations governing PDFs of velocity in­ crements, (g) Thermal turbulences, (h) Channel and pipe flow turbulences, and others.

• Layer
• Statistica
• computer-aided design (CAD)
• dynamics
• geometry
• layers
• probability
• statistics
• turbulence
• vortices
• fluid- and aerodynamics

• University of Tokyo, Tokyo, Japan

  Tsutomu Kambe

• Chuo University, Tokyo, Japan

  Tohru Nakano

• Tokyo Institute of Technology, Tokyo, Japan

  Toshio Miyauchi

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