Vortex Flows And Related Numerical Methods

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Vortex Flows and Related Numerical Methods

Author : J.T. Beale,G.H. Cottet,S. Huberson
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 49,7 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.

Vortex Methods and Vortex Motion

Author : Karl E. Gustafson,James A. Sethian
Publisher : SIAM
Page : 226 pages
File Size : 46,5 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.

Fluid Vortices

Author : Sheldon Green
Publisher : Springer Science & Business Media
Page : 905 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401102490

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Fluid Vortices by Sheldon Green Pdf

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 Dominated Flows

Author : Lu Ting,Rupert Klein,Omar M Knio
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 42,8 Mb
Release : 2007-07-05
Category : Science
ISBN : 9783540685821

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Vortex Dominated Flows by Lu Ting,Rupert Klein,Omar M Knio Pdf

This monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The book explores the dynamics of slender vortex filaments in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The book is addressed to both graduate students and researchers.

Vortex Methods

Author : Georges-Henri Cottet,Petros D. Koumoutsakos
Publisher : Cambridge University Press
Page : 0 pages
File Size : 52,5 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.

Fluid Flow Phenomena

Author : Paolo Orlandi
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401142816

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Fluid Flow Phenomena by Paolo Orlandi Pdf

This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows. The book is limited to explaining and employing the finite difference method. It furnishes a large number of source codes which permit to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools to understand the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory. Two chapters on Large Eddy Simulations have been included, since this is a methodology that in the near future will allow more universal turbulence models for practical applications. The direct simulation of the Navier-Stokes equations (DNS) is simple by finite-differences, that are satisfactory to reproduce the dynamics of turbulent flows. A large part of the book is devoted to the study of homogeneous and wall turbulent flows. In the second chapter the elementary concept of finite difference is given to solve parabolic and elliptical partial differential equations. In successive chapters the 1D, 2D, and 3D Navier-Stokes equations are solved in Cartesian and cylindrical coordinates. Finally, Large Eddy Simulations are performed to check the importance of the subgrid scale models. Results for turbulent and laminar flows are discussed, with particular emphasis on vortex dynamics. This volume will be of interest to graduate students and researchers wanting to compare experiments and numerical simulations, and to workers in the mechanical and aeronautic industries.

Computational Methods for Fluid Flow

Author : Roger Peyret,Thomas D. Taylor
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642859526

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Computational Methods for Fluid Flow by Roger Peyret,Thomas D. Taylor Pdf

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Vortex Methods

Author : Kyoji Kamemoto,Michihisa Tsutahara
Publisher : World Scientific
Page : 220 pages
File Size : 53,6 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:

Fluid Dynamics

Author : Constantine Pozrikidis
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 48,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781475733235

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Fluid Dynamics by Constantine Pozrikidis Pdf

Ready access to computers at an institutional and personal level has defined a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering disciplines into the realm of scientific computing has become not only desirable, but also necessary. Thanks to port ability and low overhead and operating costs, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experiment at ion. The new environment has motivated the writing of texts and mono graphs with a modern perspective that incorporates numerical and com puter programming aspects as an integral part of the curriculum: meth ods, concepts, and ideas should be presented in a unified fashion that motivates and underlines the urgency of the new elements, but does not compromise the rigor of the classical approach and does not oversimplify. Interfacing fundamental concepts and practical methods of scientific computing can be done on different levels. In one approach, theory and implement at ion are kept complementary and presented in a sequential fashion. In a second approach, the coupling involves deriving compu tational methods and simulation algorithms, and translating equations into computer code instructions immediately following problem formu lations. The author of this book is a proponent of the second approach and advocates its adoption as a means of enhancing learning: interject ing methods of scientific computing into the traditional discourse offers a powerful venue for developing analytical skills and obtaining physical insight.

Computational Fluid Mechanics

Author : Alexandre Joel Chorin
Publisher : Academic Press
Page : 240 pages
File Size : 40,5 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9781483271552

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Computational Fluid Mechanics by Alexandre Joel Chorin Pdf

Computational Fluid Mechanics: Selected Papers compiles papers on computational fluid dynamics written between 1967 and 1982. This book emphasizes the numerical solution of the equations of fluid mechanics in circumstances where the viscosity is small. The vortex and projection methods, numerical solution of problems in kinetic theory, combustion theory, and gas dynamics are also discussed. This publication elaborates that turbulence in fluids is dominated by the mechanics of vorticity, and many of the methods are based on vortex representations of the flow. The convergence of vortex calculations in three space dimensions and motion of vortex filaments are likewise deliberated. This compilation is a good source for physicists and students researching on computational fluid mechanics.

Numerical Simulations of Incompressible Flows

Author : M. M. Hafez
Publisher : World Scientific
Page : 708 pages
File Size : 45,5 Mb
Release : 2003
Category : Technology & Engineering
ISBN : 9789812383174

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Numerical Simulations of Incompressible Flows by M. M. Hafez Pdf

"Consists mainly of papers presented at a workshop ... held in Half Moon Bay, California, June 19-21, 2001 ... to honor Dr. Dochan Kwak on the occasion of his 60th birthday ... organized by M. Hafez of University of California Davis and Dong Ho Lee of Seoul National University"--Dedication, p. ix.

Introduction to Theoretical and Computational Fluid Dynamics

Author : Constantine Pozrikidis
Publisher : Oxford University Press
Page : 1296 pages
File Size : 47,8 Mb
Release : 2011-09-28
Category : Science
ISBN : 9780199909124

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Introduction to Theoretical and Computational Fluid Dynamics by Constantine Pozrikidis Pdf

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow. The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework. A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.

Numerical Methods in Fluid Mechanics

Author : Alain Vincent
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 46,5 Mb
Release : 1998
Category : Mathematics
ISBN : 0821808133

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Numerical Methods in Fluid Mechanics by Alain Vincent Pdf

At a level comprehensible to graduate students and beginning researchers, describes the state of the art in using numerical methods for analyzing turbulence in fluids, a problem still unsolved after centuries of research. The methods described include wavelet-based, semi-Lagrangian, Langrangian multi-pole, continuous adaptation of curvilinear grids, finite volume, and shock-capturing. Among the applications are industrial flows, aerodynamics, two-phase flows, astrophysical flows, and meteorology. Suitable as a course text for graduate students with a background in fluid mechanics. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Incompressible Computational Fluid Dynamics

Author : Max D. Gunzburger,Roy A. Nicolaides
Publisher : Cambridge University Press
Page : 0 pages
File Size : 53,5 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.