Introduction To Vortex Filaments In Equilibrium


Introduction To Vortex Filaments In Equilibrium
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Introduction To Vortex Filaments In Equilibrium


Introduction To Vortex Filaments In Equilibrium
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Author : Timothy D. Andersen
language : en
Publisher: Springer
Release Date : 2014-10-09

Introduction To Vortex Filaments In Equilibrium written by Timothy D. Andersen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-09 with Computers categories.


This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.



Theory Of Concentrated Vortices


Theory Of Concentrated Vortices
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Author : S. V. Alekseenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-29

Theory Of Concentrated Vortices written by S. V. Alekseenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-29 with Technology & Engineering categories.


This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.



Vorticity And Turbulence


Vorticity And Turbulence
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Author : Alexandre J. Chorin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Vorticity And Turbulence written by Alexandre J. Chorin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.


This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.



Vortices In Nonlinear Fields


Vortices In Nonlinear Fields
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Author : Len M. Pismen
language : en
Publisher: Oxford University Press
Release Date : 1999

Vortices In Nonlinear Fields written by Len M. Pismen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


Symmetry breaking is partially responsible for the astounding variety of natural phenomena derived from a few simple and symmetric basic laws. Unique in its multidisciplinary scope, this book considers from a unified point of view the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. The theory has wide applications, including superfluids, superconductors, rotating spiral waves, and relativistic string theories. This volume is an integrated survey of this rapidly developing field.





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Author : 肖兰
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005

written by 肖兰 and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fluid mechanics categories.




Quantized Vortex Dynamics And Superfluid Turbulence


Quantized Vortex Dynamics And Superfluid Turbulence
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Author : C.F. Barenghi
language : en
Publisher: Springer
Release Date : 2008-01-11

Quantized Vortex Dynamics And Superfluid Turbulence written by C.F. Barenghi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Technology & Engineering categories.


This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.



Unstable And Turbulent Motion Of Fluid Proceedings Of The Conference


Unstable And Turbulent Motion Of Fluid Proceedings Of The Conference
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Author : S Kida
language : en
Publisher: World Scientific
Release Date : 1993-10-29

Unstable And Turbulent Motion Of Fluid Proceedings Of The Conference written by S Kida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-29 with categories.


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.



Fluid Vortices


Fluid Vortices
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Author : Sheldon Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fluid Vortices written by Sheldon Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.



Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence


Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence
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Author : Alexey V. Borisov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22

Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence written by Alexey V. Borisov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-22 with Science categories.


This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.



The N Vortex Problem


The N Vortex Problem
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Author : Paul K. Newton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The N Vortex Problem written by Paul K. Newton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


This text is an introduction to current research on the N- vortex problem of fluid mechanics. It describes the Hamiltonian aspects of vortex dynamics as an entry point into the rather large literature on the topic, with exercises at the end of each chapter.