[PDF] Numerical Methods For Fluid Dynamics Vi eBook

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 527 pages
File Size : 19,42 MB
Release : 2010-09-14
Category : Mathematics
ISBN : 1441964126

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This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Author : K. W. Morton
Publisher : Oxford University Press
Page : 650 pages
File Size : 29,80 MB
Release : 1995
Category : Mathematics
ISBN : 9780198514800

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This book contains the proceedings of an international conference on Numerical Methods for Fluid Dynamics held at the University of Oxford in April 1995. It provides a summary of recent research on the computational aspects of fluid dynamics. It includes contributions from many distinguished mathematicians and engineers and, as always, the standard of papers is high. The main themes of the book are algorithms and algorithmic needs arising from applications, Navier-Stokes on flexible grids, and environmental computational fluid dynamics. Graduate students of numerical analysis will find the up-to-date coverage of research in this book very useful.

Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 18,20 MB
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 366203915X

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High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.

Author : Gary A. Sod
Publisher : Cambridge University Press
Page : 464 pages
File Size : 16,82 MB
Release : 1985-10-31
Category : Mathematics
ISBN : 9780521259248

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Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments. For easier reading and use, many of the purely technical results and theorems are given separately from the main body of the text. The presentation is intended for graduate students in applied mathematics, engineering and physical sciences who have a basic knowledge of partial differential equations.

Author : Maurice Holt
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 19,58 MB
Release : 2012-12-06
Category : Science
ISBN : 3642693415

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From the reviews of the first edition: "This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow. ...The book is well arranged, logically presented and well illustrated. It contains several FORTRAN programms with which students could experiment ... It is a practical book, with emphasis on methods and their implementation. It is an excellent text for the fruitful research area it covers, and is highly recommended". Journal of Fluid Mechanics #1 From the reviews of the second edition: "The arrangement of chapters in the book remains practically the same as that in the first editon (1977), except for the inclusion of Glimm's method ... This book is higly recommended for both graduate students and researchers." Applied Mechanics Reviews #1

Author : Roger Peyret
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 49,76 MB
Release : 2012-12-06
Category : Science
ISBN : 3642859526

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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.

Author : M. Holt
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 35,37 MB
Release : 2012-12-06
Category : Science
ISBN : 3642963706

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This monograph is based on a graduate course, Mechanical Engipeering 266, which was developed over a number of years at the University of California-Berkeley. Shorter versions of the course were given at the University of Paris VI in 1969, and at the University of Paris XI in 1972. The course was originally presented as the last of a three quarter sequence on Compressible Flow Theory, with emphasis on the treatment of non-linear problems by numerical techniques. This is reflected in the material of the first half of the book, covering several techniques for handling non-linear wave interaction and other problems in Gas Dynamics. The techniques have their origins in the Method of Characteristics (in both two and three dimensions). Besides reviewing the method itself the more recent techniques derived from it, firstly by Godunov and his group, and secondly by Rusanov and his co-workers, are described. Both these approaches are applicable to steady flows calculated as asymptotic states of unsteady flows and treat elliptic prob lems as limiting forms of unsteady hyperbolic problems. They are there fore applicable to low speed as well a~ to high speed flow problems. The second half of the book covers the treatment of a variety of steady flow problems, including effects of both viscosity and compressibi lity, by the Method of Integral Relations, Telenin's Method, and the Method of Lines.