The N Vortex Problem
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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.
Vortex Dynamics And Vortex Methods
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Author : Christopher Radcliff Anderson
language : en
Publisher: American Mathematical Soc.
Release Date : 1991-12-23
Vortex Dynamics And Vortex Methods written by Christopher Radcliff Anderson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-23 with Science categories.
Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approaches--analytical, computational, and experimental--have studied the dynamics of vorticity. The AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, held in June 1990 at the University of Washington in Seattle, brought together experts with a broad range of viewpoints and areas of specialization. This volume contains the proceedings from that seminar. The focus here is on the numerical computation of high Reynolds number incompressible flows. Also included is a smaller selection of important experimental results and analytic treatments. Many of the articles contain valuable introductory and survey material as well as open problems. Readers will appreciate this volume for its coverage of a wide variety of numerical, analytical, and experimental tools and for its treatment of interesting important discoveries made with these tools.
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.
Vortex Methods And Vortex Motion
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Author : Karl E. Gustafson
language : en
Publisher: SIAM
Release Date : 1991-01-01
Vortex Methods And Vortex Motion written by Karl E. Gustafson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion.
Nonlinear Problems Present And Future
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Author : A. Bishop
language : en
Publisher: Elsevier
Release Date : 1982-01-01
Nonlinear Problems Present And Future written by A. Bishop and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Mathematics categories.
Nonlinear Problems: Present and Future
Vortex Dominated Flows
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Author : Lu Ting
language : en
Publisher: World Scientific
Release Date : 2005
Vortex Dominated Flows written by Lu Ting and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Honoring the contributions of one of the field''s leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled OC Periodic vibrations of systems governed by nonlinear partial differential equationsOCO, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems."
Dynamics Of Vortex Structures In A Stratified Rotating Fluid
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Author : Mikhail A. Sokolovskiy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-28
Dynamics Of Vortex Structures In A Stratified Rotating Fluid written by Mikhail A. Sokolovskiy 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 2013-08-28 with Science categories.
This book presents an extensive analysis of the dynamics of discrete and distributed baroclinic vortices in a multi-layer fluid that characterizes the main features of the large and mesoscales dynamics of the atmosphere and the ocean. It widely covers the case of hetonic situations as well as the case of intrathermocline vortices that are familiar in oceanographic and of recognized importance for heat and mass transfers. Extensive typology of such baroclinic eddies is made and analysed with the help of theoretical development and numerical computations. As a whole it gives an overview and synthesis of all the many situations that can be encountered based on the long history of the theory of vortex motion and on many new situations. It gives a renewed insight on the extraordinary richness of vortex dynamics and open the way for new theoretical, observational and experimental advances. This volume is of interest to experts in physical oceanography, meteorology, hydrodynamics, dynamic systems, involved in theoretical, experimental and applied research and lecturers, post-graduate students, and students in these fields.
Theoretical And Applied Mechanics
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Author : Frithiof I. Niordson
language : en
Publisher: Elsevier
Release Date : 2013-10-15
Theoretical And Applied Mechanics written by Frithiof I. Niordson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Technology & Engineering categories.
Theoretical and Applied Mechanics covers the proceedings of the 16th International Congress of Theoretical and Applied Mechanics, held at the Technical University of Denmark, Lyngby, Denmark on August 19-25, 1984. The contributors consider the significant advances in the thriving field of mechanics. This book is composed of 21 chapters, and begins with an overview of space research contributions in understanding fluid media mechanics. This topic is followed by discussions on some aspects and fundamentals of mechanics, such as chaos, computer application, resonant phenomena, adiabaticity, and nonlinear acoustics. The following chapters explore the various applications of theoretical and applied mechanics, including in marine structures, oil recovery, and ice and snow mechanics. This book also deals with nonlinear wave motion, hydrodynamic systems, ocean wave spectra, and Helmholtz concept. The remaining chapters look into the issues of steady water bifurcation, concept of anisotropic soils, and flow visualization. This book is of great value to physicists and research workers who wish to expand their knowledge in mechanics.
Vortex Dominated Flows
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Author : Denis Blackmore
language : en
Publisher: World Scientific
Release Date : 2005-08-08
Vortex Dominated Flows written by Denis Blackmore and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-08 with Science categories.
Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled “Periodic vibrations of systems governed by nonlinear partial differential equations”, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems. Contents:Circular Discrepancy and a Monte Carlo Algorithm for Generating a Low Circular Discrepancy SequencePeriodic and Quasiperiodic Motion of Point VorticesExperiments on Heave/Pitch Limit-Cycle Oscillations of a Supercritical Airfoil Close to the Transonic DipVortices in SuperconductorsAccurate Numerical Simulation of Three-dimensional Lid-driven Cavity Flows with Different Span LengthsGeometric, Stochastic and Algebraic VorticesExperimental Investigation and Numerical Simulation of Oblique Shock/Vortex InteractionBreakdown of Slender Vortices: The State of the ArtA Numerical Analysis of Vortex Dislocation in Wake-type Flow with Different Spanwise NonuniformityVortex Dipole Coordinates on the SphereMagneto-Fluid-Dynamic Flow ControlInteraction between Longitudinal Vortices and Normal and Oblique ShocksAnalysis of Rotor Vortex Wake Structure Using 3-C PIV MeasurementsTypical Vortex Phenomena in Flow Fields Past Space Vehicles Readership: Researchers in mathematics, aerospace engineering and physics who are interested in vortex dominated flows. Keywords:Vortex Dynamics;Vortex Breakdown;Dipoles;Superconductors;Shocks;Wavelets;Simulation;MHDKey Features:Honors the work of one of the greatest contributors to vortical flow research — Lu TingContains important new results, which also provide a rich and far-reaching context for the research presented
Coherent Vortex Structures In Fluids And Plasmas
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Author : Anatoli Tur
language : en
Publisher: Springer
Release Date : 2017-04-09
Coherent Vortex Structures In Fluids And Plasmas written by Anatoli Tur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-09 with Science categories.
This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?