Dynamical Systems Approach To Turbulence

Author : Anonim
Publisher : Unknown
Page : 350 pages
File Size : 54,9 Mb
Release : 2000
Category : Turbulence
ISBN : 7302039054

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Dynamical Systems Approach to Turbulence by Anonim Pdf

Author : Tomas Bohr
Publisher : Cambridge University Press
Page : 373 pages
File Size : 50,9 Mb
Release : 1998-08-13
Category : Science
ISBN : 9780521475143

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Dynamical Systems Approach to Turbulence by Tomas Bohr Pdf

This book treats turbulence from the point of view of dynamical systems. In recent decades, turbulence has evolved into a very active field of theoretical physics. The modern theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter, in a much broader context than hydrodynamics. The origin of this development is the approach to turbulence from the point of view of deterministic dynamical systems, and in this book it is shown how concepts developed for low dimensional chaotic systems can be applied to turbulent states.

Author : Tomas Bohr,Mogens H. Jensen,Giovanni Paladin,Angelo Vulpiani
Publisher : Cambridge University Press
Page : 372 pages
File Size : 48,6 Mb
Release : 2005-08-22
Category : Science
ISBN : 0521017947

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Dynamical Systems Approach to Turbulence by Tomas Bohr,Mogens H. Jensen,Giovanni Paladin,Angelo Vulpiani Pdf

In recent decades, turbulence has evolved into a very active field of theoretical physics. The origin of this development is the approach to turbulence from the point of view of deterministic dynamical systems, and this book shows how concepts developed for low dimensional chaotic systems are applied to turbulent states. This book centers around a number of important simplified models for turbulent behavior in systems ranging from fluid motion (classical turbulence) to chemical reactions and interfaces in disordered systems. The theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter occurring also in systems outside the realm of hydrodynamics. The book contains simplified models of turbulent behavior, notably shell models, coupled map lattices, amplitude equations and interface models.

Author : George R. Sell,Ciprian Foias,Roger Temam
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461243465

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Turbulence in Fluid Flows by George R. Sell,Ciprian Foias,Roger Temam Pdf

The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.

Author : Tapan K. Sengupta
Publisher : Cambridge University Press
Page : 643 pages
File Size : 52,5 Mb
Release : 2021-09-30
Category : Technology & Engineering
ISBN : 9781108490412

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Transition to Turbulence by Tapan K. Sengupta Pdf

"Present understanding of transition to turbulence has now been studied over one hundred and fifty years. The path the studies have taken posed it as a modal eigenvalue problem. Some researchers have suggested alternative models without being specific. First-principle based approach of receptivity is the route to build bridges among ideas for solving the Navier-Stokes equation for specific canonical problems. This book highlights the mathematical physics, scientific computing, and new ideas and theories for nonlinear analyses of fluid flows, for which vorticity dynamics remain central. This book is a blend of classic with distinctly new ideas, which establish different dynamics of flows, from genesis to evolution of disturbance fields with rigorously developed methods to tracing coherent structures amidst the seemingly random and chaotic fluid dynamics of transitional and turbulent flows"--

Author : T. Dracos,A. Tsinober
Publisher : Birkhäuser
Page : 409 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783034885850

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New Approaches and Concepts in Turbulence by T. Dracos,A. Tsinober Pdf

This book contains the proceedings of a colloquium held in Monte Verit from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.

Author : Philip Holmes
Publisher : Cambridge University Press
Page : 403 pages
File Size : 46,6 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781107008250

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry by Philip Holmes Pdf

Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Author : Philip Holmes,John L. Lumley,Gal Berkooz
Publisher : Cambridge University Press
Page : 438 pages
File Size : 43,7 Mb
Release : 1996-10-10
Category : Science
ISBN : 0521551420

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry by Philip Holmes,John L. Lumley,Gal Berkooz Pdf

For turbulent flows at relatively low speeds there exists an excellent mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these nonlinear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. First, the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen Loève or proper orthogonal decomposition. This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence.

Author : Philip Holmes,John L. Lumley,Gahl Berkooz,Clarence W. Rowley
Publisher : Unknown
Page : 386 pages
File Size : 50,7 Mb
Release : 2012
Category : Differentiable dynamical systems
ISBN : 1107227895

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry by Philip Holmes,John L. Lumley,Gahl Berkooz,Clarence W. Rowley Pdf

"This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures - recurrent patterns - in turbulent flows, it describes mathematical methods that reduce the governing (Navier-Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995"--

Author : Zoltán Neufeld,Emilio Hernández-García
Publisher : World Scientific
Page : 304 pages
File Size : 40,9 Mb
Release : 2009-09-29
Category : Science
ISBN : 9781908979483

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Chemical and Biological Processes in Fluid Flows by Zoltán Neufeld,Emilio Hernández-García Pdf

Many chemical and biological processes take place in fluid environments in constant motion — chemical reactions in the atmosphere, biological population dynamics in the ocean, chemical reactors, combustion, and microfluidic devices. Applications of concepts from the field of nonlinear dynamical systems have led to significant progress over the last decade in the theoretical understanding of complex phenomena observed in such systems. This book introduces the theoretical approaches for describing mixing and transport in fluid flows. It reviews the basic concepts of dynamical phenomena arising from the nonlinear interactions in chemical and biological systems. The coverage includes a comprehensive overview of recent results on the effect of mixing on spatial structure and the dynamics of chemically and biologically active components in fluid flows, in particular oceanic plankton dynamics. Contents:Fluid FlowsMixing and Dispersion in Fluid FlowsChemical and Ecological ModelsReaction-Diffusion DynamicsFast Binary Reactions and the Lamellar ApproachDecay-Type and Stable Reaction Dynamics in FlowsMixing in Autocatalytic-Type ProcessesMixing in Oscillatory MediaFurther Reading Readership: Physicists, applied mathematicians, chemical engineers and marine ecologists. Keywords:Mixing;Fluid Flows;Reactive Flows;Chaotic Advection;Reaction-Diffusion Systems;Plankton Population Dynamics;Nonlinear Dynamical Systems;Reaction KineticsKey Features:Covers the latest developments in the field of chemical and biological activity in fluid flows with emphasis on the dynamical systems representationConcisely introduces the basic concepts of fluid dynamics, turbulence and nonlinear dynamicsGives a cross-disciplinary view of the subject with applications in various fields including geophysical flows, marine ecology, nonlinear chemistry and combustion

Author : Paul Manneville
Publisher : World Scientific
Page : 456 pages
File Size : 43,9 Mb
Release : 2010
Category : Science
ISBN : 9781848163928

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Instabilities, Chaos and Turbulence by Paul Manneville Pdf

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.

Author : Massimo Materassi,Biagio Forte,Anthea J. Coster,Susan Skone
Publisher : Elsevier
Page : 337 pages
File Size : 55,6 Mb
Release : 2019-11-28
Category : Science
ISBN : 9780128147832

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The Dynamical Ionosphere by Massimo Materassi,Biagio Forte,Anthea J. Coster,Susan Skone Pdf

The Dynamical Ionosphere: A Systems Approach to Ionospheric Irregularity examines the Earth’s ionosphere as a dynamical system with signatures of complexity. The system is robust in its overall configuration, with smooth space-time patterns of daily, seasonal and Solar Cycle variability, but shows a hierarchy of interactions among its sub-systems, yielding apparent unpredictability, space-time irregularity, and turbulence. This interplay leads to the need for constructing realistic models of the average ionosphere, incorporating the increasing knowledge and predictability of high variability components, and for addressing the difficulty of dealing with the worst cases of ionospheric disturbances, all of which are addressed in this interdisciplinary book. Borrowing tools and techniques from classical and stochastic dynamics, information theory, signal processing, fluid dynamics and turbulence science, The Dynamical Ionosphere presents the state-of-the-art in dealing with irregularity, forecasting ionospheric threats, and theoretical interpretation of various ionospheric configurations. Presents studies addressing Earth’s ionosphere as a complex dynamical system, including irregularities and radio scintillation, ionospheric turbulence, nonlinear time series analysis, space-ionosphere connection, and space-time structures Utilizes interdisciplinary tools and techniques, such as those associated with stochastic dynamics, information theory, signal processing, fluid dynamics and turbulence science Offers new data-driven models for different ionospheric variability phenomena Provides a synoptic view of the state-of-the-art and most updated theoretical interpretation, results and data analysis tools of the "worst case" behavior in ionospheric configurations

Author : John Cannon,Bhimsen Shivamoggi
Publisher : CRC Press
Page : 208 pages
File Size : 54,7 Mb
Release : 2006-06-15
Category : Science
ISBN : 9781420014976

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Mathematical and Physical Theory of Turbulence by John Cannon,Bhimsen Shivamoggi Pdf

Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together experts from physics, applied mathematics, and engineering, Mathematical and Physical Theory of Turbulence discusses recent progress and some of the major unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. Containing introductory overviews as well as more specialized sections, this book examines a variety of turbulence-related topics. The authors concentrate on theory, experiments, computational, and mathematical aspects of Navier–Stokes turbulence; geophysical flows; modeling; laboratory experiments; and compressible/magnetohydrodynamic effects. The topics discussed in these areas include finite-time singularities and inviscid dissipation energy; validity of the idealized model incorporating local isotropy, homogeneity, and universality of small scales of high Reynolds numbers, Lagrangian statistics, and measurements; and subrigid-scale modeling and hybrid methods involving a mix of Reynolds-averaged Navier–Stokes (RANS), large-eddy simulations (LES), and direct numerical simulations (DNS). By sharing their expertise and recent research results, the authoritative contributors in Mathematical and Physical Theory of Turbulence promote further advances in the field, benefiting applied mathematicians, physicists, and engineers involved in understanding the complex issues of the turbulence problem.

Author : Institute for Computer Applications in Science and Engineering,C. G. Speziale,S. Sarkar,T. B. Gatski
Publisher : Unknown
Page : 60 pages
File Size : 42,5 Mb
Release : 1990
Category : Electronic
ISBN : NASA:31769000682552

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Modeling the Pressure-strain Correlation of Turbulence - an Invariant Dynamical Systems Approach by Institute for Computer Applications in Science and Engineering,C. G. Speziale,S. Sarkar,T. B. Gatski Pdf

Author : Peter D. Ditlevsen
Publisher : Unknown
Page : 152 pages
File Size : 45,5 Mb
Release : 2010
Category : Electronic book
ISBN : 0511913184

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Turbulence and Shell Models by Peter D. Ditlevsen Pdf

"Turbulence is a huge subject of ongoing research. This book bridges the modern development in dynamical systems theory and the theory of fully developed turbulence. Many solved and unsolved problems in turbulence have equivalencies in simple dynamical models, which are much easier to handle analytically and numerically. This book gives a modern view of the subject by first giving the essentials of the theory of turbulence before moving on to shell models. These show much of the same complex behaviour as fluid turbulence, but are much easier to handle analytically and numerically. Any necessary maths is explained and self-contained, making this book ideal for advanced undergraduates and graduate students, as well as researchers and professionals, wanting to understand the basics of fully developed turbulence"--