Instabilities, Chaos and Turbulence

Instabilities, Chaos and Turbulence PDF Author: Paul Manneville
Publisher: World Scientific
ISBN: 1848163924
Category : Science
Languages : en
Pages : 456

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Book Description
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Instabilities, Chaos and Turbulence

Instabilities, Chaos and Turbulence PDF Author: Paul Manneville
Publisher: World Scientific
ISBN: 1848163924
Category : Science
Languages : en
Pages : 456

Get Book

Book Description
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Instabilities, Chaos and Turbulence

Instabilities, Chaos and Turbulence PDF Author: Paul Manneville
Publisher:
ISBN: 9781848163942
Category : Electronic books
Languages : en
Pages :

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Book Description


Instabilities, Chaos And Turbulence (2nd Edition)

Instabilities, Chaos And Turbulence (2nd Edition) PDF Author: Paul Manneville
Publisher: World Scientific
ISBN: 1911299409
Category : Science
Languages : en
Pages : 456

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Book Description
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation./a

Nonlinear Instability, Chaos and Turbulence

Nonlinear Instability, Chaos and Turbulence PDF Author: Lokenath Debnath
Publisher:
ISBN: 9781853125157
Category : Chaotic behavior in systems
Languages : en
Pages :

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Book Description


Turbulence and Instabilities

Turbulence and Instabilities PDF Author: O.M. Belotserkovskii
Publisher:
ISBN:
Category : Magnetohydrodynamic instabilities
Languages : en
Pages : 364

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Book Description
Monograph presents the newest results in the numerical modeling and computer simulation of turbulence.

Instability, Transition, and Turbulence

Instability, Transition, and Turbulence PDF Author: M.Y. Hussaini
Publisher: Springer Science & Business Media
ISBN: 1461229561
Category : Science
Languages : en
Pages : 626

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Book Description
This volume contains the proceedings of the Workshop on In stability, Transition and Turbulence, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC), during July 8 to August 2, 1991. This is the second workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Instability and Transition" edited by M. Y. Hussaini and R. G. Voigt. The objectives of these work shops are to i) expose the academic community to current technologically im portant issues of transition and turbulence in shear flows over the entire speed range, ii) acquaint the academic community with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these capabilities, and iii) accelerate progress in elucidating the fundamental phenomena of transition and turbulence, leading to improved transition and turbulence modeling in design methodologies. The research areas covered in these proceedings include receptiv ity and roughness, nonlinear theories of transition, numerical simu lation of spatially evolving flows, modelling of transitional and fully turbulent flows as well as some experiments on instability and tran sition. In addition a one-day mini-symposium was held to discuss 1 recent and planned experiments on turbulent flow over a backward facing step.

Hydrodynamic Instabilities and the Transition to Turbulence

Hydrodynamic Instabilities and the Transition to Turbulence PDF Author: H.L. Swinney
Publisher: Springer
ISBN: 9783662309360
Category : Science
Languages : en
Pages : 306

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Book Description


Dissipative Structures and Weak Turbulence

Dissipative Structures and Weak Turbulence PDF Author:
Publisher: Academic Press
ISBN: 008092445X
Category : Science
Languages : en
Pages : 505

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Book Description
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Turbulence and Structures

Turbulence and Structures PDF Author: Herman Branover
Publisher: Academic Press
ISBN: 9780121257408
Category : Science
Languages : en
Pages : 296

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Book Description
Turbulence is one of the most wide-spread phenomena in the universe. It relates to processes within the atmosphere, ocean, deep within the earth, as well as to the stars. The general public usually knows about turbulence from the unpleasant shaking of an airplane, or from disastrous atmospheric phenomena such as typhoons and hurricanes. The chaotic and unpredictable behavior of turbulent movement makes it very difficult to study. The degree of understanding of turbulence is still far from being complete. Some progress was made with the recent advent of a new science--chaos theory. The authors succeeded in examining one basic feature of turbulence called helicity (or spirality) which is the foundation of explaining and predicting the generation of large turbulent structures (e.g. typhoons). Helicity is a universal feature existing not only in fluid flows but also in solid bodies and even in living organisms. This book can be especially useful for researchers and students in fluid mechanics, plasma, geophysics, biology, and meteorology. * Examines the helical mechanism of self-organization in nature and laboratory * Presents a unified approach to chaos and theory * Discusses similarities and differences in the formation of dynamic and magnetic structures * Successfully combines profound theoretical and experimental knowledge * Includes a disk with an expanded bibliographical database

Nonlinear Instability, Chaos, and Turbulence

Nonlinear Instability, Chaos, and Turbulence PDF Author: Lokenath Debnath
Publisher: Computational Mechanics
ISBN:
Category : Chaotic behavior in systems
Languages : en
Pages : 432

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Book Description
The second volume in a study of nonlinear stability, chaos and turbulence. It demonstrates the importance of mathematical, computational and experimental techniques to the advancement of research in nonlinear instability, chaotic motions and turbulent flow systems.