Nonlinear Nonlocal And Fractional Turbulence

Author : Peter William Egolf
Publisher : Springer Nature
ISBN 13 : 303026033X
Total Pages : 487 pages
Book Rating : 4.30/5 ( download)

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Download or read book Nonlinear, Nonlocal and Fractional Turbulence written by Peter William Egolf and published by Springer Nature. This book was released on 2020-04-02 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ashton L. Hawk
Publisher : Edward Elgar Publishing
ISBN 13 : 1802201483
Total Pages : 315 pages
Book Rating : 4.82/5 ( download)

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Download or read book Strategy in a Turbulent Era written by Ashton L. Hawk and published by Edward Elgar Publishing. This book was released on 2024-01-18 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a practical and phenomenon-driven perspective, Strategy in a Turbulent Era expertly analyses questions relating to strategy in light of different forms of turbulence. From the global COVID-19 pandemic outbreak to the escalation in number and far reaching implications of new technologies, such as artificial intelligence and cryptocurrencies, this timely book explores how recent sources of turbulence are rapidly transforming the nature and dynamics of global competition.

Author : Arkady Tsinober
Publisher : Springer
ISBN 13 : 3319995316
Total Pages : 229 pages
Book Rating : 4.11/5 ( download)

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Download or read book The Essence of Turbulence as a Physical Phenomenon written by Arkady Tsinober and published by Springer. This book was released on 2018-12-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its second edition, this book clearly, concisely and comprehensively outlines the essence of turbulence. In view of the absence of a theory based on first principles and adequate tools to handle the problem, the “essence” of turbulence, i.e. what turbulence really is from a fundamental point of view, is understood empirically through observations from nature, laboratories and direct numerical simulations rather than explained by means of conventional formalistic aspects, models, etc., resulting in pertinent issues being described at a highly theoretical level in spite of the mentioned lack of theory. As such, the book highlights and critically reexamines fundamental issues, especially those of paradigmatic nature, related to conceptual and problematic aspects, key misconceptions and unresolved matters, and discusses why the problem is so difficult. As in the previous edition, the focus on fundamental issues is also a consequence of the view that without corresponding advances in fundamental aspects there is little chance of progress in any applications. More generally there is a desperate need for physical fundamentals of a great variety of processes in nature and technology in which turbulence plays a central role. Turbulence is omnipresent throughout the natural sciences and technology, but despite the vast sea of information available the book retains its brevity without oversimplifications, making it of interest to a broad audience.

Author : Vladimir Evgenʹevich Zakharov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841136
Total Pages : 212 pages
Book Rating : 4.30/5 ( download)

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Download or read book Nonlinear Waves and Weak Turbulence written by Vladimir Evgenʹevich Zakharov and published by American Mathematical Soc.. This book was released on 1998 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.

Author : A. Tsinober
Publisher : Springer Science & Business Media
ISBN 13 : 030648384X
Total Pages : 344 pages
Book Rating : 4.44/5 ( download)

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Download or read book An Informal Introduction to Turbulence written by A. Tsinober and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Turbulence by ARKADY TSINOBER Department of Fluid Mechanics, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBookISBN: 0-306-48384-X Print ISBN: 1-4020-0110-X ©2004 Kluwer Academic Publishers NewYork, Boston, Dordrecht, London, Moscow Print ©2001 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook maybe reproducedor transmitted inanyform or byanymeans, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://kluweronline. com and Kluwer's eBookstoreat: http://ebooks. kluweronline. com TO My WITS TABLE OF CONTENTS 1 INTRODUCTION 1 Brief history 1 1. 1 1. 2 Nature and major qualitative universal features of turbulent flows 2 1. 2. 1 Representative examples of turbulent flows 2 1. 2. 2 In lieu of definition: major qualitative universal f- tures of turbulent flows 15 1. 3 Why turbulence is so impossibly difficult? The three N's 19 On the Navier-Stokes equations 19 1. 3. 1 1. 3. 2 On the nature of the problem 21 1. 3. 3 Nonlinearity 22 1. 3. 4 Noninegrability 22 Nonlocality 1. 3. 5 23 1. 3. 6 On physics of turbulence 24 1. 3. 7 On statistical theories 24 1. 4 Outline of the following material 25 1. 5 In lieu of summary 26 2 ORIGINS OF TURBULENCE 27 2. 1 Instability 27 2. 2 Transition to turbulence versus routes to chaos 29 2.

Author : Eun-jin Kim
Publisher : MDPI
ISBN 13 : 3039211080
Total Pages : 300 pages
Book Rating : 4.81/5 ( download)

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Download or read book Intermittency and Self-Organisation in Turbulence and Statistical Mechanics written by Eun-jin Kim and published by MDPI. This book was released on 2019-07-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics that was published in Entropy

Author : Tadele Mengesha
Publisher : Springer Nature
ISBN 13 : 3031340892
Total Pages : 325 pages
Book Rating : 4.95/5 ( download)

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Download or read book A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models written by Tadele Mengesha and published by Springer Nature. This book was released on 2023-09-12 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021. The three-day meeting brought together experts from the computational, scientific, engineering, and mathematical communities who work with nonlocal models. These proceedings collect contributions and give a survey of the state of the art in computational practices, mathematical analysis, applications of nonlocal models, and explorations of new application domains. The volume benefits from the mixture of contributions by computational scientists, mathematicians, and application specialists. The content is suitable for graduate students as well as specialists working with nonlocal models and covers topics on fractional PDEs, regularity theory for kinetic equations, approximation theory for fractional diffusion, analysis of nonlocal diffusion model as a bridge between local and fractional PDEs, and more.

Author : Arkady Tsinober
Publisher : Springer Science & Business Media
ISBN 13 : 904813174X
Total Pages : 475 pages
Book Rating : 4.47/5 ( download)

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Download or read book An Informal Conceptual Introduction to Turbulence written by Arkady Tsinober and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully revised second edition focuses on physical phenomena and observations in turbulence, and is focused on reversing misconceptions and ill-defined concepts. New topics include ergodicity, Eulerian versus Lagrangian descriptions, theory validation, and anomalous scaling.

Author : Anastasios A. Tsonis
Publisher : Springer
ISBN 13 : 3319588958
Total Pages : 707 pages
Book Rating : 4.57/5 ( download)

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Download or read book Advances in Nonlinear Geosciences written by Anastasios A. Tsonis and published by Springer. This book was released on 2017-10-13 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.

Author : Jan Friedrich
Publisher : Springer Nature
ISBN 13 : 3030519775
Total Pages : 173 pages
Book Rating : 4.73/5 ( download)

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Download or read book Non-perturbative Methods in Statistical Descriptions of Turbulence written by Jan Friedrich and published by Springer Nature. This book was released on 2020-09-25 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of statistical descriptions of turbulent flows. Its main objectives are to point out why ordinary perturbative treatments of the Navier–Stokes equation have been rather futile, and to present recent advances in non-perturbative treatments, e.g., the instanton method and a stochastic interpretation of turbulent energy transfer. After a brief introduction to the basic equations of turbulent fluid motion, the book outlines a probabilistic treatment of the Navier–Stokes equation and chiefly focuses on the emergence of a multi-point hierarchy and the notion of the closure problem of turbulence. Furthermore, empirically observed multiscaling features and their impact on possible closure methods are discussed, and each is put into the context of its original field of use, e.g., the renormalization group method is addressed in relation to the theory of critical phenomena. The intended readership consists of physicists and engineers who want to get acquainted with the prevalent concepts and methods in this research area.