Three Dimensional Vortex Methods

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Vortex Methods

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Author : Georges-Henri Cottet
Publisher : Cambridge University Press
ISBN 13 : 9780521061704
Total Pages : 0 pages
Book Rating : 4.0/5 (617 download)

Book Synopsis Vortex Methods by : Georges-Henri Cottet

Download or read book Vortex Methods written by Georges-Henri Cottet and published by Cambridge University Press. This book was released on 2008-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.

Vortex Dynamics

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Author : P. G. Saffman
Publisher : Cambridge University Press
ISBN 13 : 9780521477390
Total Pages : 332 pages
Book Rating : 4.4/5 (773 download)

Book Synopsis Vortex Dynamics by : P. G. Saffman

Download or read book Vortex Dynamics written by P. G. Saffman and published by Cambridge University Press. This book was released on 1995-02-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.

Incompressible Computational Fluid Dynamics

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Author : Max D. Gunzburger
Publisher : Cambridge University Press
ISBN 13 : 9780521096225
Total Pages : 0 pages
Book Rating : 4.0/5 (962 download)

Book Synopsis Incompressible Computational Fluid Dynamics by : Max D. Gunzburger

Download or read book Incompressible Computational Fluid Dynamics written by Max D. Gunzburger and published by Cambridge University Press. This book was released on 2009-01-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incompressible computational fluid dynamics is an emerging and important discipline, with numerous applications in industry and science. Its methods employ rigourous mathematical analysis far beyond what is presently possible for compressible flows. Vortex methods, finite elements, and spectral methods are emphasised. Contributions from leading experts in the various sub-fields portray the wide-ranging nature of the subject. The book provides an entrée into the current research in the field. It can also serve as a source book for researchers and others who require information on methods and techniques.

Fluid Vortices

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Author : Sheldon Green
Publisher : Springer Science & Business Media
ISBN 13 : 940110249X
Total Pages : 905 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Fluid Vortices by : Sheldon Green

Download or read book Fluid Vortices written by Sheldon Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Vortex Flows and Related Numerical Methods

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Author : J.T. Beale
Publisher : Springer Science & Business Media
ISBN 13 : 9401581371
Total Pages : 385 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Vortex Flows and Related Numerical Methods by : J.T. Beale

Download or read book Vortex Flows and Related Numerical Methods written by J.T. Beale and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.

Three Dimensional Vortex Methods for the Analysis of Wave Propagation on Vortex Filaments

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Author : Anmin Qi
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (33 download)

Book Synopsis Three Dimensional Vortex Methods for the Analysis of Wave Propagation on Vortex Filaments by : Anmin Qi

Download or read book Three Dimensional Vortex Methods for the Analysis of Wave Propagation on Vortex Filaments written by Anmin Qi and published by . This book was released on 1991 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vortex Dynamics and Vortex Methods

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Author : Christopher Radcliff Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896969
Total Pages : 776 pages
Book Rating : 4.8/5 (969 download)

Book Synopsis Vortex Dynamics and Vortex Methods by : Christopher Radcliff Anderson

Download or read book Vortex Dynamics and Vortex Methods written by Christopher Radcliff Anderson and published by American Mathematical Soc.. This book was released on 1991-12-23 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Three-dimensional Vortex-body Interaction in a Viscous Fluid

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Author : Jeffrey S. Marshall
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.3/5 (121 download)

Book Synopsis Three-dimensional Vortex-body Interaction in a Viscous Fluid by : Jeffrey S. Marshall

Download or read book Three-dimensional Vortex-body Interaction in a Viscous Fluid written by Jeffrey S. Marshall and published by . This book was released on 1999 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: An experimental and computational study of the impact of a vortex with a body oriented normal to the vortex axis was performed. Particular focus was placed on understanding characteristics of the secondary vorticity ejected from the body and the interaction of the secondary vorticity with the primary vortex. Since both onset of boundary layer separation and the form of the secondary vorticity structures are sensitive to variation of the velocity normal to the body axis, the effect of normal velocity on vortex-body interaction was carefully examined. The physical features of the flow evolution were categorized in terms of an impact parameter and a thickness parameter, which respectively represent ratios of velocity and length scales associated with the vortex to those associated with the flow in the absence of the vortex. Experiments were performed using a combination of laser-induced fluorescence (LIF) flow visualization and particle-image velocimetry (PIV) in a water tank to examine the form of the secondary vorticity structures with both "high" and "low" values of the impact parameter for normal vortex interaction with a circular cylinder and with a thin blade. A new type of Lagrangian vorticity method based on a tetrahedral mesh was developed and applied to compute the secondary vorticity evolution during vortex-cylinder interaction. Computations were also performed for model problems to examine in detail wrapping of a vortex loop around a columnar vortex and impulsive cutting of a columnar vortex with finite axial flow.

Particle Image Velocimetry

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Author : Ronald J. Adrian
Publisher : Cambridge University Press
ISBN 13 : 0521440084
Total Pages : 585 pages
Book Rating : 4.5/5 (214 download)

Book Synopsis Particle Image Velocimetry by : Ronald J. Adrian

Download or read book Particle Image Velocimetry written by Ronald J. Adrian and published by Cambridge University Press. This book was released on 2011 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle image velocimetry, or PIV, refers to a class of methods used in experimental fluid mechanics to determine instantaneous fields of the vector velocity by measuring the displacements of numerous fine particles that accurately follow the motion of the fluid. Although the concept of measuring particle displacements is simple in essence, the factors that need to be addressed to design and implement PIV systems that achieve reliable, accurate, and fast measurements and to interpret the results are surprisingly numerous. The aim of this book is to analyze and explain them comprehensively.

Liutex and Its Applications in Turbulence Research

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Author : Chaoqun Liu
Publisher : Academic Press
ISBN 13 : 0128190248
Total Pages : 460 pages
Book Rating : 4.1/5 (281 download)

Book Synopsis Liutex and Its Applications in Turbulence Research by : Chaoqun Liu

Download or read book Liutex and Its Applications in Turbulence Research written by Chaoqun Liu and published by Academic Press. This book was released on 2020-10-29 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. - Provides an accurate mathematical definition of vortices - Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence - Explains the term "Rortex as a mathematically defined rigid rotation of fluids or vortex - Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence

Vorticity and Incompressible Flow

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Author : Andrew J. Majda
Publisher : Cambridge University Press
ISBN 13 : 9780521639484
Total Pages : 562 pages
Book Rating : 4.6/5 (394 download)

Book Synopsis Vorticity and Incompressible Flow by : Andrew J. Majda

Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Vortex Methods

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Author : Kyoji Kamemoto
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810242770
Total Pages : 211 pages
Book Rating : 4.2/5 (427 download)

Book Synopsis Vortex Methods by : Kyoji Kamemoto

Download or read book Vortex Methods written by Kyoji Kamemoto and published by World Scientific Publishing Company Incorporated. This book was released on 2000 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.

Vortex Methods and Vortex Motion

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Author : Karl E. Gustafson
Publisher : SIAM
ISBN 13 : 0898712580
Total Pages : 226 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Vortex Methods and Vortex Motion by : Karl E. Gustafson

Download or read book Vortex Methods and Vortex Motion written by Karl E. Gustafson and published by SIAM. This book was released on 1991-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hydrodynamic Behavior and Interacting Particle Systems

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Author : George Papanicolaou
Publisher : Springer
ISBN 13 : 9781468463491
Total Pages : 0 pages
Book Rating : 4.4/5 (634 download)

Book Synopsis Hydrodynamic Behavior and Interacting Particle Systems by : George Papanicolaou

Download or read book Hydrodynamic Behavior and Interacting Particle Systems written by George Papanicolaou and published by Springer. This book was released on 2012-03-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications HYDRODYNAMIC BEHAVIOR AND INTERACTING PARTICLE SYSTEMS is in part the proceedings of a workshop which was an integral part of the 1985-86 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especially thank the Program Organizer, George Papanicolaou for orga nizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger PREFACE A workshop on the hydrodynamic behavior of interacting particle systems was held at the Institute for Mathematics and its Applications at the University of Minnesota during the week of March 17, 1986. Fifteen papers presented at the workshop are collected in this volume. They contain research in several different directions that are currently being pursued. The paper of Chaikin, Dozier and Lindsay is concerned with experimental results on suspensions in regimes where modern mathematical methods could be useful. The paper of Fritz gives an introduction to these methods as does the paper of Spohn. Analytical methods currently used by in the physics and chemistry literature are presented in the paper of Freed, Wang and Douglas. The paper of Caflisch deals with time dependent effects in sedimentation.

Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems

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Author : R. I. Lewis
Publisher : Cambridge University Press
ISBN 13 : 9780521017541
Total Pages : 592 pages
Book Rating : 4.0/5 (175 download)

Book Synopsis Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems by : R. I. Lewis

Download or read book Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems written by R. I. Lewis and published by Cambridge University Press. This book was released on 2005-07-21 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Panel methods employing surface distributions of source and vortex singularities based on the solution of boundary integral equations have been extensively used for modeling external and internal aerodynamic flows. Part 1 describes the surface vorticity method and illustrates applications of this technique over a wide range of engineering problems in aerodynamics and turbomachines, including lifting aerofoils and cascades, mixed-flow and rotating cascades for fans, pumps or turbines, meridional flows in turbomachines, flow past axisymmetric bodies, ducts and ducted propellers or fans. Part 2 extends surface vorticity modeling to the fairly new CFM field of vortex dynamics or vortex cloud theory. Methods are developed, again from first principles, to deal with shear layers, boundary layers, periodic wakes, bluff-body flows, cascades and aerofoils including the use of stall control spoilers. A number of useful computer programs are included.

Particle Image Velocimetry

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Author : Markus Raffel
Publisher : Springer Science & Business Media
ISBN 13 : 3540723072
Total Pages : 460 pages
Book Rating : 4.5/5 (47 download)

Book Synopsis Particle Image Velocimetry by : Markus Raffel

Download or read book Particle Image Velocimetry written by Markus Raffel and published by Springer Science & Business Media. This book was released on 2007-08-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This immensely practical guide to PIV provides a condensed, yet exhaustive guide to most of the information needed for experiments employing the technique. This second edition has updated chapters on the principles and extra information on microscopic, high-speed and three component measurements as well as a description of advanced evaluation techniques. What’s more, the huge increase in the range of possible applications has been taken into account as the chapter describing these applications of the PIV technique has been expanded.

Vortex Methods

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Author : Christopher R. Anderson
Publisher : Springer
ISBN 13 : 3540460349
Total Pages : 150 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Vortex Methods by : Christopher R. Anderson

Download or read book Vortex Methods written by Christopher R. Anderson and published by Springer. This book was released on 2006-11-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: