Numerical Methods In Fluid Dynamics

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 47,5 Mb
Release : 2010-09-14
Category : Mathematics
ISBN : 9781441964120

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Numerical Methods for Fluid Dynamics by Dale R. Durran Pdf

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 : Joel H Ferziger,Milovan Peric
Publisher : Unknown
Page : 380 pages
File Size : 41,6 Mb
Release : 1996-02-14
Category : Electronic
ISBN : 3642976522

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Computational Methods for Fluid Dynamics by Joel H Ferziger,Milovan Peric Pdf

Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 46,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662039151

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Riemann Solvers and Numerical Methods for Fluid Dynamics by Eleuterio F. Toro Pdf

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 : Maurice Holt
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642693410

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Numerical Methods in Fluid Dynamics by Maurice Holt Pdf

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 : Gary A. Sod
Publisher : Cambridge University Press
Page : 464 pages
File Size : 41,9 Mb
Release : 1985-10-31
Category : Mathematics
ISBN : 052125924X

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Numerical Methods in Fluid Dynamics by Gary A. Sod Pdf

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 : Dia Zeidan,Jochen Merker,Eric Goncalves Da Silva,Lucy T. Zhang
Publisher : Springer Nature
Page : 323 pages
File Size : 47,9 Mb
Release : 2022-05-18
Category : Technology & Engineering
ISBN : 9789811696657

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Numerical Fluid Dynamics by Dia Zeidan,Jochen Merker,Eric Goncalves Da Silva,Lucy T. Zhang Pdf

This book contains select invited chapters on the latest research in numerical fluid dynamics and applications. The book aims at discussing the state-of-the-art developments and improvements in numerical fluid dynamics. All the chapters are presented for approximating and simulating how these methods and computations interact with different topics such as shock waves, non-equilibrium single and two-phase flows, elastic human-airway, and global climate. In addition to the fundamental research involving novel types of mathematical sciences, the book presents theoretical and numerical developments in fluid dynamics. The contributions by well-established global experts in fluid dynamics have brought different features of numerical fluid dynamics in a single book. The book serves as a useful resource for high-impact advances involving computational fluid dynamics, including recent developments in mathematical modelling, numerical methods such as finite volume, finite difference and finite element, symbolic computations, and open numerical programs such as OpenFOAM software. The book addresses interdisciplinary topics in industrial mathematics that lie at the forefront of research into new types of mathematical sciences, including theory and applications. This book will be beneficial to industrial and academic researchers, as well as graduate students, working in the fields of natural and engineering sciences. The book will provide the reader highly successful materials and necessary research in the field of fluid dynamics.

Author : Roger Peyret,Thomas D. Taylor
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 49,5 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.

Author : North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development
Publisher : Unknown
Page : 356 pages
File Size : 41,7 Mb
Release : 1972
Category : Fluid dynamics
ISBN : UCSD:31822012109252

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Numerical Methods in Fluid Dynamics by North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development Pdf

;Contents: On the numerical approximation of some equations arising in hydrodynamics; Approximation of Navier-Stokes equations; Sur l'approximation des equations de Navier-Stokes des fluides visqueux incompressibles; Numerical solution of steady state Navier-Stokes equations; Numerical solution of the Navier-Stokes equations at high reynolds numbers and the problem of discretization of convective derivatives; Numerical analysis of viscous one-dimensional flows; A critical analysis of numerical techniques: the piston-driven inviscid flow; Transient and asymptotically steady flow of an inviscid compressible gas past a circular cylinder; The blunt body problem for a viscous rarefied gas; The choice of a time-dependent technique in gas dynamics; Application of finite elements methods in fluid dynamics; Computational methods for inviscid transonic flows with inbedded shock waves; Numerical treatment of time-dependent three-dimensional flows; Un example de modele mathematique complexe en mecanique des fluides.

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 54,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475730814

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Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran Pdf

Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.

Author : Suhas Patankar
Publisher : CRC Press
Page : 218 pages
File Size : 50,6 Mb
Release : 2018-10-08
Category : Science
ISBN : 9781351991513

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Numerical Heat Transfer and Fluid Flow by Suhas Patankar Pdf

This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.

Author : Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer
Publisher : SIAM
Page : 222 pages
File Size : 43,5 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 9780898713985

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Numerical Simulation in Fluid Dynamics by Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer Pdf

In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.

Author : Joel H. Ferziger,Milovan Peric
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642560262

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Computational Methods for Fluid Dynamics by Joel H. Ferziger,Milovan Peric Pdf

In its third revised and extended edition the book offers an overview of the techniques used to solve problems in fluid mechanics on computers. The authors describe in detail the most often used techniques. Included are advanced techniques in computational fluid dynamics, such as direct and large-eddy simulation of turbulence. Moreover, a new section deals with grid quality and an extended description of discretization methods has also been included. Common roots and basic principles for many apparently different methods are explained. The book also contains a great deal of practical advice for code developers and users.

Author : Dmitri Kuzmin,Jari Hamalainen
Publisher : SIAM
Page : 321 pages
File Size : 54,9 Mb
Release : 2014-12-18
Category : Science
ISBN : 9781611973600

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Finite Element Methods for Computational Fluid Dynamics by Dmitri Kuzmin,Jari Hamalainen Pdf

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.?Finite Element Methods for Computational Fluid Dynamics: A Practical Guide?explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.?

Author : Titus Petrila,Damian Trif
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 46,9 Mb
Release : 2006-06-14
Category : Mathematics
ISBN : 9780387238388

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Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics by Titus Petrila,Damian Trif Pdf

The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a collaboration in the field of spectral methods for fluid dynamics. Soon after – preeminently studying the numerical approaches to Navier–Stokes nonlinearities – we completed a number of research projects which we presented at the most important inter- tional conferences in the field, to gratifying appreciation. An important qualitative step in our work was provided by the dev- opment of a computational basis and by access to a number of expert softwares. This fact allowed us to generate effective working programs for most of the problems and examples presented in the book, an - pect which was not taken into account in most similar studies that have already appeared all over the world.

Author : Jiri Blazek
Publisher : Elsevier
Page : 496 pages
File Size : 52,9 Mb
Release : 2005-12-20
Category : Science
ISBN : 0080529674

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Computational Fluid Dynamics: Principles and Applications by Jiri Blazek Pdf

Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today’s CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.