Authors:
- Written by experts in the field, it provides analytical and numerical solutions of nonlocal turbulent flow problems based on the authors' scientific research work
- Gives recipes for generalizing local into nonlocal turbulence models
- Contains novel approaches based on the nonextensive thermodynamics of turbulence
- Outlines analogies between turbulence and other physical fields (magnetisation, vortisation, etc.)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
About this book
Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticisms of linear and local theories of turbulence have been published. Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available.
This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure. Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-β, bi-fractal and multi-fractal model) and fractional dynamics. Examples include a new ‘law of the wall’ and a generalization of Kraichnan’s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures.
This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence.
Authors and Affiliations
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Institute of Theoretical Turbulence Research, Niederlenz, Switzerland
Peter William Egolf
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VAW, ETHZ, Zürich, Switzerland
Kolumban Hutter
About the authors
Kolumban Hutter received a diploma in civil engineering in 1964 from ETH Zurich and a M. Sc. & Ph. Degree in Theoretical and Applied Mechanics from Cornell University, Ithaca, New York in 1973. He has held the position of Professor of Mechanics at Darmstadt University of Technology, Germany from 1987-2006. Presently he is a guest scientist at the Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zurich and was from 2006-2009 a part time researcher at Academia Sinica, Taiwan. His research interests are in geophysical mechanics with applications in the dynamics of glaciers and ice sheets, the mechanics ofgranular materials, avalanching flows of snow, debris and mud, physical limnology and the foundations of continuum mechanics and thermodynamics. Kolumban Hutter is author and co-author of more than 400 papers (more than 300 peer reviewed) and has written or edited more than 20 books, among these are
Theoretical Glaciology,
Continuum Methods of Physical Modeling (with K. Jöhnk)
Avalanche Dynamics (with S. P. Pudasaini)
Solid–Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context (with L. Schneider),
Physics of Lakes (with Profs Y. Wang and I.Chubarenko, 3 volumes),
Fluid & Thermodynamics (with Prof Y. Wang, 2 volumes)
all published by Springer-Verlag.
He has also served as scientific editor of the Journal of Glaciology for 14 years and was the founder and Editor-in-Chief of Continuum Mechanics and Thermodynamics for 17 years. He is also the Founder and (now past) Editor-in-Chief of the Series "Advances in Geophysical and Environmental Mechanics" published by Springer Verlag. Kolumban Hutter was awarded the Max-Planck Prize of the Max-Planck Society and the Alexander von Humboldt Foundation (Germany) in 1994, the Alexander von Humboldt Prize of the Foundation of Polish Science in 1998, and the Seligman Crystal of the International Glaciological Society in 2003. He lives retired in Zurich, Switzerland
Bibliographic Information
Book Title: Nonlinear, Nonlocal and Fractional Turbulence
Book Subtitle: Alternative Recipes for the Modeling of Turbulence
Authors: Peter William Egolf, Kolumban Hutter
DOI: https://doi.org/10.1007/978-3-030-26033-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-26032-3Published: 03 April 2020
eBook ISBN: 978-3-030-26033-0Published: 02 April 2020
Edition Number: 1
Number of Pages: XXXVII, 445
Number of Illustrations: 93 b/w illustrations, 26 illustrations in colour
Topics: Fluid- and Aerodynamics, Applications of Nonlinear Dynamics and Chaos Theory, Engineering Fluid Dynamics, Partial Differential Equations, Thermodynamics, Hydrogeology