Turbulence and Shell Models

Turbulence and Shell Models PDF Author: Peter D. Ditlevsen
Publisher: Cambridge University Press
ISBN: 1139492020
Category : Science
Languages : en
Pages : 163

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Book Description
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.

Turbulence and Shell Models

Turbulence and Shell Models PDF Author: Peter D. Ditlevsen
Publisher: Cambridge University Press
ISBN: 1139492020
Category : Science
Languages : en
Pages : 163

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Book Description
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.

Dynamical Systems Approach to Turbulence

Dynamical Systems Approach to Turbulence PDF Author: Tomas Bohr
Publisher: Cambridge University Press
ISBN: 9780521017947
Category : Science
Languages : en
Pages : 372

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Book Description
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.

Turbulence and Shell Models

Turbulence and Shell Models PDF Author: Peter D. Ditlevsen
Publisher:
ISBN: 9780511917769
Category : Fluid dynamics
Languages : en
Pages : 152

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Book Description
"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"--

Turbulence

Turbulence PDF Author: Uriel Frisch
Publisher: Cambridge University Press
ISBN: 1139935976
Category : Science
Languages : en
Pages : 318

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Book Description
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.

Non-equilibrium Statistical Mechanics and Turbulence

Non-equilibrium Statistical Mechanics and Turbulence PDF Author: John Cardy
Publisher: Cambridge University Press
ISBN: 9780521715140
Category : Mathematics
Languages : en
Pages : 180

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Book Description
This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Modeling in Fluid Mechanics

Modeling in Fluid Mechanics PDF Author: Igor Gaissinski
Publisher: CRC Press
ISBN: 1351029045
Category : Mathematics
Languages : en
Pages : 658

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Book Description
This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.

Introduction to the Modern Theory of Dynamical Systems

Introduction to the Modern Theory of Dynamical Systems PDF Author: Anatole Katok
Publisher: Cambridge University Press
ISBN: 9780521575577
Category : Mathematics
Languages : en
Pages : 828

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Book Description
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.

Unstable And Turbulent Motion Of Fluid - Proceedings Of The Conference

Unstable And Turbulent Motion Of Fluid - Proceedings Of The Conference PDF Author: S Kida
Publisher: World Scientific
ISBN: 9814552461
Category :
Languages : en
Pages : 330

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Book Description
This book represents a collection of papers presented at the 2015 International Conference on Advanced Material Engineering (AME 2015), held in Guangzhou, China. With the rapid development of industry and information technology, researchers across all fields began to discuss new ideas related to materials science and manufacturing technology. This proceedings provide a valuable insight from researchers and scientists who exchanged their ideas in the conference.

Advances in Computation, Modeling and Control of Transitional and Turbulent Flows

Advances in Computation, Modeling and Control of Transitional and Turbulent Flows PDF Author: Tapan Kumar Sengupta
Publisher: World Scientific
ISBN: 9814635162
Category : Science
Languages : en
Pages : 551

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Book Description
"The role of high performance computing in current research on transitional and turbulent flows is undoubtedly very important. This review volume provides a good platform for leading experts and researchers in various fields of fluid mechanics dealing with transitional and turbulent flows to synergistically exchange ideas and present the state of the art in the fields. Contributed by eminent researchers, the book chapters feature keynote lectures, panel discussions and the best invited contributed papers."--

Solar-Terrestrial Relations and Physics of Earthquake Precursors

Solar-Terrestrial Relations and Physics of Earthquake Precursors PDF Author: Alexei Dmitriev
Publisher: Springer Nature
ISBN: 3031502485
Category : Science
Languages : en
Pages : 301

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Book Description
This book contains the papers selected by the Scientific Committee and represented at the XIII International Conference "Solar-Terrestrial Relations and Physics of Earthquake Precursors", which was hold at the Institute of Cosmophysical Research and Radio Wave Propagation, Far Eastern Branch of the Russian Academy of Sciences, Kamchatka. The papers describe the investigation results in the fields of atmosphere, ionosphere and magnetosphere physics. Mechanisms of transformation of solar wind energy into the energy of magnetospheric-ionospheric processes, effects of the processes in the Earth core on the lower and upper atmosphere, seismo-electromagnetic, seismo-electric and seismo-acoustic effects at different frequency ranges in the Earth crust, atmosphere and ionosphere are under consideration. Modern methods for geophysical data collection, processing, transfer and exchange as well as organisation issues of seismic activity monitoring are presented. The Conference "Solar-Terrestrial Relations and Physics of Earthquake Precursors" has 25 years of history. Scientists from Russia, Japan, Hungary, China, India, USA and other countries participate in it. In a traditional way, the Conference includes three sections: atmosphere physics, geophysical fields and their interaction, physics of earthquake precursors.