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Author: Georges-Henri Cottet
Publisher: Cambridge University Press
ISBN: 9780521061704
Category : Science
Languages : en
Pages : 0
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Book Description
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
Publisher: Cambridge University Press
ISBN: 9780521061704
Category : Science
Languages : en
Pages : 0
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Book Description
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: Emmanuel Branlard
Publisher: Springer
ISBN: 3319551647
Category : Technology & Engineering
Languages : en
Pages : 632
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Book Description
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: J.T. Beale
Publisher: Springer Science & Business Media
ISBN: 9401581371
Category : Technology & Engineering
Languages : en
Pages : 385
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Book Description
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: Max D. Gunzburger
Publisher: Cambridge University Press
ISBN: 9780521096225
Category : Mathematics
Languages : en
Pages : 0
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Book Description
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: Karl E. Gustafson
Publisher: SIAM
ISBN: 9781611971736
Category : Science
Languages : en
Pages : 220
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Book Description
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. Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Extensive photographs and sample computer graphics are provided. The development of large vortex structure in fluid flow is responsible for some of the most fascinating aspects of fluid dynamics, such as mixing, shearing, transport, and instability. Such issues arise in a variety of flow regimes, ranging from fundamental mathematical questions in laminar, transitional, and turbulent flow to sophisticated engineering settings and devices.
Author: Lung-an Ying
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 366
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Book Description
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: Menachem Brodie
Publisher:
ISBN:
Category :
Languages : en
Pages : 416
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Book Description
Performance. Whether you're a weekend pleasure rider, a recreational hobbyist, or a competitive racer, we all want to get more out of our riding.But for all the fitness books out there, there are very few that are helpful to an athlete's needs. The Vortex Method takes it to the next level. Designed around the specific needs, challenges, and desires of the cyclist, The Vortex Method is designed by a cycling coach with over 15 years experience in strength training for our unique sport, to help cyclists of all levels and abilities.The Vortex Method gives you the most powerful tools available for a lifetime of cycling enjoyment. But best of all, it'll give you the one thing all serious cyclists are looking for: Performance.In his groundbreaking first book, Brodie gives athletes deep insight into how to put together an intelligently designed strength training program to keep away those aches and pains that have often been associated with more hours in the saddle, while unlocking new best performances. Brodie shows athletes how to build an expertly crafted strength training program to increase their performance on the bike, and improve how they feel throughout their daily lives off the bike.The Vortex Method offers athletes a system to build a strength training program for improved PERFORMANCE, not just adding weight to the bar: - How breathing & posture have massive impacts on your abilities to recover and perform- How to easily address functional issues within your program- How to build a program that progresses throughout the entire year to boost your performance- Learn how to avoid back pain & it's common causes in cyclists- Special considerations for women: Why, when, & how your training approaches MUST change through out your menstrual cycle- Over 45 exercises to help you take your training to the next level- Full-year sample training programsand much, much more!In The Vortex Method, Menachem Brodie opens your eyes to how much more than simply "picking things up, and putting them down" strength training for cycling performance really is, and that how you set up, perform, and program your exercises is what matters most.
Author: R. I. Lewis
Publisher: Cambridge University Press
ISBN: 9780521017541
Category : Technology & Engineering
Languages : en
Pages : 592
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Book Description
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.
Author: Chaoqun Liu
Publisher: Academic Press
ISBN: 0128190248
Category : Technology & Engineering
Languages : en
Pages : 460
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Book Description
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
Author: Kyoji Kamemoto
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810242770
Category : Technology & Engineering
Languages : en
Pages : 211
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Book Description
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.
