Synopsis
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.
Présentation de l'éditeur
This book is new because emphasis is placed on the aspect that the statistical laws in turbulence are not disconnected with the coherent structures distributing randomly in space and forming/decaying spontaneously in time, and that the anomalous scaling laws of a passive scalar in turbulence are captured from the first principle. Existence of such coherences in the stochastic processes of turbulence leads to the intermittency and also non-Gaussian statistics. Details of the geometrical structures are investigated how they are described in terms of vortices of shear layers.
The current state of the art is presented in this book for graduate- and advanced-level students, by scientists working in the frontier of diverse areas of turbulence study theoretically, computationally, and experimentally, centered at the subject Structure and Statistics.
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