Turbulence and stochastic processes : Kolmogorov's ideas 50 years on
著者
書誌事項
Turbulence and stochastic processes : Kolmogorov's ideas 50 years on
Royal Society, 1991
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注記
"First published in Proceedings of the Royal Soiciety of London, series A, volume 434 (no. 1890), pages 1-240" -- T.p. verso
内容説明・目次
内容説明
It is 50 years since the publication of A.N. Kolmogorov's paper in 1941, probably the most famous paper ever written on turbulence. This volume commemorates this and other papers which established many of the key ideas of probability theory, stochastic processes and turbulence. These have since found application in many areas of research, including the theory of the turbulent motions of fluids, diffusion theory, the theory of automata, and communication theory. In putting together this volume the editors asked their colleagues to review, in the context of recent research, Kolmogorov's different contributions. And because his original papers are so important and not widely available, translations of two of his 1941 papers and one 1942 paper on turbulence have been included. Most of the fundamental problems in turbulence being investigated today were known to Kolmogorov, and he established lines of research which are still being followed and are attracting new methods of analysis. For example, Mandelbrot and Frisch here describe the recent ideas of multi-fractals and their use in understanding turbulence.
Other contributions cover probability theory, small-scale turbulence, branching processes, fractal variables, general turbulent flows and turbulent combustion.
目次
- The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers - dissipation of energy in the locally isotropic turbulence, A.N. Kolmogorov
- Kolmogorov's hydrodynamic attractors, V.I. Arnol'd
- approximation of attractors, large eddy simulations and multiscale methods, R. Temam
- transition functions, paths and path integrals, D. Williams
- turbulent cascade and intermittency growth, R.H. Kraichnan
- random multifractals - negative dimensions and the resulting limitations of the thermodynamic formalism, B.B. Mandelbrot
- from global scaling, a la Kolmogorov, to local multifractal scaling in developed turbulence, U. Frisch
- structure and dynamics of homogenous turbulence models and simulations, Z-S She, E. Jackson and S.A. Orszag
- the Kolomorogov spectrum and its oceanic cousins - a review, O.M. Phillips
- local isotropy of the smallest scales of turbulent scalar and velocity fields, C. Van Atta
- Kolmogorov similarity hypotheses for scalar fields - sampling intermittent turbulent mixing in the ocean and galaxy, C.H. Gibson
- on local isotropy of passive scalars in turbulent shear flows, K.R. Sreenivasan
- Kolmogorov's contributions to the physical and geometrical understanding of small-scale turbulence and recent developments, J.C.R. Hunt and J.C. Vassilicos
- Kolmogorov's two-equation model of turbulence, D.B. Spalding
- some applications of Kolmogorov's turbulence research in the field of combustion, K.N.C. Bray and R.S. Cant.
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