Vortex Methods

Author : Georges-Henri Cottet,Petros D. Koumoutsakos
Publisher : Cambridge University Press
Page : 0 pages
File Size : 42,9 Mb
Release : 2008-04-24
Category : Science
ISBN : 0521061709

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Vortex Methods by Georges-Henri Cottet,Petros D. Koumoutsakos Pdf

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.

Author : Georges-Henri Cottet,G.-H. (Georges-Henri) Cottet,Petros D. Koumoutsakos,Professor Petros D Koumoutsakos
Publisher : Cambridge University Press
Page : 0 pages
File Size : 40,8 Mb
Release : 2000-03-13
Category : Mathematics
ISBN : 9780521621861

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Vortex Methods by Georges-Henri Cottet,G.-H. (Georges-Henri) Cottet,Petros D. Koumoutsakos,Professor Petros D Koumoutsakos Pdf

This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows.

Author : Georges-Henri Cottet
Publisher : Unknown
Page : 0 pages
File Size : 40,5 Mb
Release : 2000
Category : Navier-Stokes equations
ISBN : OCLC:1346053983

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Vortex Methods by Georges-Henri Cottet Pdf

Author : Kyoji Kamemoto,Michihisa Tsutahara
Publisher : World Scientific
Page : 220 pages
File Size : 48,8 Mb
Release : 2000-05-11
Category : Technology & Engineering
ISBN : 9789814493284

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Vortex Methods by Kyoji Kamemoto,Michihisa Tsutahara Pdf

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. Contents: Vortex Element Methods, the Most Natural Approach to Flow Simulation — A Review of Methodology with Applications (R I Lewis)A Hybrid Vortex Method (J M R Graham & R H Arkell)Transient Flow Around a Circular Cylinder Near the Moving and Rigid Ground by a Vortex Method (T Kida & T Take)Vortex Method Analysis of Turbulent Flows (P S Bernard et al.)Dynamics of Coherent Structures in a Forced Round Jet (S Izawa et al.)Convergence Study for the Vortex Method with Boundaries (L-A Ying)3D Vortex Methods: Achievements and Challenges (G H Cottet)Development of a Vortex and Heat Elements Method and Its Application to Analysis of Unsteady Heat Transfer Around a Circular Cylinder in a Uniform Flow (K Kamemoto & T Miyasaka)Three-Dimensional Vortex Method Using the Ferguson Spline (M Tsutahara et al.)Numerical Prediction of Rotor Tip-Vortex Roll-Up in Axial Flights by Using a Time-Marching Free-Wake Method (D J Lee)and other papers Readership: Students and researchers in computational fluid mechanics. Keywords:

Author : Christopher Radcliff Anderson,Claude Greengard
Publisher : American Mathematical Soc.
Page : 776 pages
File Size : 52,5 Mb
Release : 1991-12-23
Category : Science
ISBN : 0821896962

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Vortex Dynamics and Vortex Methods by Christopher Radcliff Anderson,Claude Greengard Pdf

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.

Author : Christopher R. Anderson,Claude Greengard
Publisher : Springer
Page : 150 pages
File Size : 55,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540460343

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Vortex Methods by Christopher R. Anderson,Claude Greengard Pdf

Author : Karl E. Gustafson,James A. Sethian
Publisher : SIAM
Page : 226 pages
File Size : 55,6 Mb
Release : 1991-01-01
Category : Science
ISBN : 9780898712582

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Vortex Methods and Vortex Motion by Karl E. Gustafson,James A. Sethian Pdf

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.

Author : Max D. Gunzburger,Roy A. Nicolaides
Publisher : Cambridge University Press
Page : 0 pages
File Size : 43,8 Mb
Release : 2009-01-11
Category : Mathematics
ISBN : 0521096227

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Incompressible Computational Fluid Dynamics by Max D. Gunzburger,Roy A. Nicolaides Pdf

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.

Author : J.T. Beale,G.H. Cottet,S. Huberson
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 55,8 Mb
Release : 2013-04-18
Category : Technology & Engineering
ISBN : 9789401581370

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Vortex Flows and Related Numerical Methods by J.T. Beale,G.H. Cottet,S. Huberson Pdf

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.

Author : Robert Speck
Publisher : Forschungszentrum Jülich
Page : 141 pages
File Size : 48,9 Mb
Release : 2011
Category : Electronic
ISBN : 9783893367337

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Generalized Algebraic Kernels and Multipole Expansions for Massively Parallel Vortex Particle Methods by Robert Speck Pdf

Author : Emmanuel Branlard
Publisher : Springer
Page : 632 pages
File Size : 43,7 Mb
Release : 2017-04-05
Category : Technology & Engineering
ISBN : 9783319551647

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Wind Turbine Aerodynamics and Vorticity-Based Methods by Emmanuel Branlard Pdf

The book introduces the fundamentals of fluid-mechanics, momentum theories, vortex theories and vortex methods necessary for the study of rotors aerodynamics and wind-turbines aerodynamics in particular. Rotor theories are presented in a great level of details at the beginning of the book. These theories include: the blade element theory, the Kutta-Joukowski theory, the momentum theory and the blade element momentum method. A part of the book is dedicated to the description and implementation of vortex methods. The remaining of the book focuses on the study of wind turbine aerodynamics using vortex-theory analyses or vortex-methods. Examples of vortex-theory applications are: optimal rotor design, tip-loss corrections, yaw-models and dynamic inflow models. Historical derivations and recent extensions of the models are presented. The cylindrical vortex model is another example of a simple analytical vortex model presented in this book. This model leads to the development of different BEM models and it is also used to provide the analytical velocity field upstream of a turbine or a wind farm under aligned or yawed conditions. Different applications of numerical vortex methods are presented. Numerical methods are used for instance to investigate the influence of a wind turbine on the incoming turbulence. Sheared inflows and aero-elastic simulations are investigated using vortex methods for the first time. Many analytical flows are derived in details: vortex rings, vortex cylinders, Hill's vortex, vortex blobs etc. They are used throughout the book to devise simple rotor models or to validate the implementation of numerical methods. Several Matlab programs are provided to ease some of the most complex implementations.

Author : Thomas G. Gainer
Publisher : Unknown
Page : 82 pages
File Size : 52,8 Mb
Release : 2002
Category : Aerodynamic measurements
ISBN : NASA:31769000452220

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A Discrete-Vortex Method for Studying the Wing Rock of Delta Wings by Thomas G. Gainer Pdf

Author : Lung-an Ying,Pingwen Zhang
Publisher : Springer
Page : 366 pages
File Size : 44,5 Mb
Release : 1997-11-30
Category : Mathematics
ISBN : STANFORD:36105023041465

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Vortex Methods by Lung-an Ying,Pingwen Zhang Pdf

This book aims to provide a comprehensive study of the mathematical theory of the vortex method, from its origins in the 1930s, through the developments of the '70s when the use of computers made advanced research possible, to current work on this subject in China and elsewhere. The five chapters treat vortex methods for the Euler and Navier-Stokes equations; mathematical theory for incompressible flows; convergence of vortex methods for the Euler equations; convergence of viscosity splitting; and convergence of the random vortex method. Audience: This volume will be of interest to researchers and graduate students of applied mathematics, scientists in fluid dynamics, and aviation engineers.

Author : R. I. Lewis
Publisher : Cambridge University Press
Page : 592 pages
File Size : 41,9 Mb
Release : 1991-03-07
Category : Science
ISBN : 9780521360104

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Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems by R. I. Lewis Pdf

This book deals with advanced fluid flow methods for design and analysis of engineering systems. Panel methods employing surface distributions of source and vortex singularities based on the solution of boundary integral equations have been extensively used for modelling 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 turbo-machines, including lifting aerofoils and cascades, mixed-flow and rotating cascades for fans, pumps or turbines, meridional flows in turbo-machines, flow past axisymmetric bodies, ducts and ducted propellers or fans. Part 2 extends surface vorticity modelling to the fairly new CFM field of vortex dynamics or vortex cloud theory, including foundation chapters on convection and viscous diffusion by the random walk technique. Vortex cloud 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.

Author : M.Y. Hussaini,M.D. Salas
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 51,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781461246787

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Studies of Vortex Dominated Flows by M.Y. Hussaini,M.D. Salas Pdf

From the astrophysical scale of a swirling spiral galaxy, through the geophysical scale of a hurricane, down to the subatomic scale of elementary particles, vortical motion and vortex dynamics have played a profound role in our understanding of the physical world. Kuchemann referred to vortex dynamics as "the sinews and muscles of fluid motion. " In order to update our understanding of vortex dominated flows, NASA Langley Research Center and the Institute for Computer Applications in Science and Engineering (ICASE) conducted a workshop during July 9-11, 1985. The subject was broadly divided into five overlapping topics vortex dynamics, vortex breakdown, massive separation, vortex shedding from sharp leading edges and conically separated flows. Some of the experts in each of these areas were invited to provide an overview of the subject. This volume is the proceedings of the workshop and contains the latest, theoretical, numerical, and experimental work in the above-mentioned areas. Leibovich, Widnall, Moore and Sirovich discussed topics on the fundamentals of vortex dynamics, while Keller and Hafez treated the problem of vortex break down phenomena; the contributions of Smith, Davis and LeBalleur were in the area of massive separation and inviscid-viscous interactions, while those of Cheng, Hoeijmakers and Munnan dealt with sharp-leading-edge vortex flows; and Fiddes and Marconi represented the category of conical separated flows.