The Vortex Method

Author : Georges-Henri Cottet
Publisher : Cambridge University Press
ISBN 13 : 9780521061704
Total Pages : 0 pages
Book Rating : 4.09/5 ( download)

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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.

Author : Lung-an Ying
Publisher : Springer
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.65/5 ( download)

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Download or read book Vortex Methods written by Lung-an Ying and published by Springer. This book was released on 1997-11-30 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Karl E. Gustafson
Publisher : SIAM
ISBN 13 : 0898712580
Total Pages : 226 pages
Book Rating : 4.82/5 ( download)

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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.

Author : J.T. Beale
Publisher : Springer Science & Business Media
ISBN 13 : 9401581371
Total Pages : 385 pages
Book Rating : 4.70/5 ( download)

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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.

Author : Max D. Gunzburger
Publisher : Cambridge University Press
ISBN 13 : 9780521096225
Total Pages : 0 pages
Book Rating : 4.27/5 ( download)

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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.

Author : A. K. Oppenheim
Publisher : Springer Science & Business Media
ISBN 13 : 3540773649
Total Pages : 374 pages
Book Rating : 4.41/5 ( download)

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Download or read book Dynamics of Combustion Systems written by A. K. Oppenheim and published by Springer Science & Business Media. This book was released on 2008-08-29 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dynamics of Combustion Systems are presented in three parts in this book. Together they provide a step towards the automatic control of explosions. The exothermic character of combustion systems, their fluid dynamic features, and explosive nature, are covered by this work which also provides a technical monograph for readers with some background in combustion technology. The book is likely to appeal to graduate students, and researchers in academia and industry.

Author : Emmanuel Branlard
Publisher : Springer
ISBN 13 : 3319551647
Total Pages : 632 pages
Book Rating : 4.47/5 ( download)

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Download or read book Wind Turbine Aerodynamics and Vorticity-Based Methods written by Emmanuel Branlard and published by Springer. This book was released on 2017-04-05 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kyoji Kamemoto
Publisher : World Scientific
ISBN 13 : 9814493287
Total Pages : 220 pages
Book Rating : 4.84/5 ( download)

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Download or read book Vortex Methods written by Kyoji Kamemoto and published by World Scientific. This book was released on 2000-05-11 with total page 220 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. 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 : Jie-Zhi Wu
Publisher : Springer Science & Business Media
ISBN 13 : 3540290281
Total Pages : 776 pages
Book Rating : 4.85/5 ( download)

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Download or read book Vorticity and Vortex Dynamics written by Jie-Zhi Wu and published by Springer Science & Business Media. This book was released on 2007-04-20 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.

Author : Chaoqun Liu
Publisher : Academic Press
ISBN 13 : 0128190248
Total Pages : 458 pages
Book Rating : 4.41/5 ( download)

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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 458 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