Vortex Methods
Vortex Methods

Author: Georges-Henri Cottet

Publisher: Cambridge University Press

Published: 2008-04-24

Total Pages: 0

ISBN-13: 9780521061704

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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 Methods
Vortex Methods

Author: Georges-Henri Cottet

Publisher: Cambridge University Press

Published: 2000-03-13

Total Pages: 0

ISBN-13: 0521621860

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

Wind Turbine Aerodynamics and Vorticity-Based Methods
Wind Turbine Aerodynamics and Vorticity-Based Methods

Author: Emmanuel Branlard

Publisher: Springer

Published: 2017-04-05

Total Pages: 632

ISBN-13: 3319551647

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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.

Incompressible Computational Fluid Dynamics
Incompressible Computational Fluid Dynamics

Author: Max D. Gunzburger

Publisher: Cambridge University Press

Published: 2009-01-11

Total Pages: 0

ISBN-13: 9780521096225

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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.

Vortex Flows and Related Numerical Methods
Vortex Flows and Related Numerical Methods

Author: J.T. Beale

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 385

ISBN-13: 9401581371

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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.

Vortex Dynamics and Vortex Methods
Vortex Dynamics and Vortex Methods

Author: Christopher Radcliff Anderson

Publisher: American Mathematical Soc.

Published: 1991-12-23

Total Pages: 776

ISBN-13: 9780821896969

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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.

Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems
Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems

Author: R. I. Lewis

Publisher: Cambridge University Press

Published: 2005-07-21

Total Pages: 592

ISBN-13: 9780521017541

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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.

Vortex Methods and Vortex Motion
Vortex Methods and Vortex Motion

Author: Karl E. Gustafson

Publisher: SIAM

Published: 1991-01-01

Total Pages: 226

ISBN-13: 0898712580

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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.