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Author : Patrick Hanley
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (131 download)
Download or read book Spectral Methods for Compressible and Incompressible Fluid Flows written by Patrick Hanley and published by . This book was released on 1985 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claudio Canuto
Publisher : Springer Science & Business Media
ISBN 13 : 3540307281
Total Pages : 616 pages
Book Rating : 4.5/5 (43 download)
Download or read book Spectral Methods written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.
Author : Olivier Le Maitre
Publisher : Springer Science & Business Media
ISBN 13 : 9048135206
Total Pages : 542 pages
Book Rating : 4.0/5 (481 download)
Download or read book Spectral Methods for Uncertainty Quantification written by Olivier Le Maitre and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.
Author : Roger Peyret
Publisher : Springer Science & Business Media
ISBN 13 : 1475765576
Total Pages : 438 pages
Book Rating : 4.4/5 (757 download)
Download or read book Spectral Methods for Incompressible Viscous Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
Author : Claudio Canuto
Publisher : Springer Science & Business Media
ISBN 13 : 3642841082
Total Pages : 582 pages
Book Rating : 4.6/5 (428 download)
Download or read book Spectral Methods in Fluid Dynamics written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.
Author : Roger Peyret
Publisher : Springer Science & Business Media
ISBN 13 : 3642859526
Total Pages : 364 pages
Book Rating : 4.6/5 (428 download)
Download or read book Computational Methods for Fluid Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Y. Hussaini
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (317 download)
Download or read book Spectral Methods in Fluid Dynamics written by M. Y. Hussaini and published by . This book was released on 1986 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William D. Lakin
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (214 download)
Download or read book Spectral Methods in Compressible Flow Problems written by William D. Lakin and published by . This book was released on 1981 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Max D. Gunzburger
Publisher : Cambridge University Press
ISBN 13 : 9780521096225
Total Pages : 0 pages
Book Rating : 4.0/5 (962 download)
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 : Benyu Guo
Publisher : World Scientific
ISBN 13 : 9789810233334
Total Pages : 364 pages
Book Rating : 4.2/5 (333 download)
Download or read book Spectral Methods and Their Applications written by Benyu Guo and published by World Scientific. This book was released on 1998 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.
Author : Claudio Canuto
Publisher : Springer Science & Business Media
ISBN 13 : 3540307265
Total Pages : 585 pages
Book Rating : 4.5/5 (43 download)
Download or read book Spectral Methods written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2007-09-23 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.
Author : Titus Petrila
Publisher : Springer Science & Business Media
ISBN 13 : 0387238387
Total Pages : 513 pages
Book Rating : 4.3/5 (872 download)
Download or read book Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics written by Titus Petrila and published by Springer Science & Business Media. This book was released on 2006-06-14 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : C. Canuto
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)
Download or read book Spectral Methods in Fluid Dynamics written by C. Canuto and published by . This book was released on 1988 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Clive A. J. Fletcher
Publisher : Springer Science & Business Media
ISBN 13 : 3642970710
Total Pages : 494 pages
Book Rating : 4.6/5 (429 download)
Download or read book Computational Techniques for Fluid Dynamics written by Clive A. J. Fletcher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: As indicated in Vol. 1, the purpose of this two-volume textbook is to pro vide students of engineering, science and applied mathematics with the spe cific techniques, and the framework to develop skill in using them, that have proven effective in the various branches of computational fluid dy namics Volume 1 describes both fundamental and general techniques that are relevant to all branches of fluid flow. This volume contains specific tech niques applicable to the different categories of engineering flow behaviour, many of which are also appropriate to convective heat transfer. The contents of Vol. 2 are suitable for specialised graduate courses in the engineering computational fluid dynamics (CFD) area and are also aimed at the established research worker or practitioner who has already gained some fundamental CFD background. It is assumed that the reader is famil iar with the contents of Vol. 1. The contents of Vol. 2 are arranged in the following way: Chapter 11 de velops and discusses the equations governing fluid flow and introduces the simpler flow categories for which specific computational techniques are considered in Chaps. 14-18. Most practical problems involve computational domain boundaries that do not conveniently coincide with coordinate lines. Consequently, in Chap. 12 the governing equations are expressed in generalised curvilinear coordinates for use in arbitrary computational domains. The corresponding problem of generating an interior grid is considered in Chap. 13.
Author : M. Yousuff Hussaini
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)
Download or read book Iterative Spectral Methods and Spectral Solutions to Compressible Flows written by M. Yousuff Hussaini and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A spectral multi-grid scheme is described which can solve pseudospectral discretizations of self-adjoint elliptic problems in 0(N log N) operations. An iterative technique for efficiently implementing semi-implicit time-stepping for pseudospectral discretizations of Navier-Stokes equations is discussed. This approach can handle variable coefficient terms in an effective manner. Pseudospectral solutions of compressible flow problems are presented. These include one-dimensional problems and two-dimensional Euler solutions. Results are given both for shock-capturing approaches and for shock-fitting ones" -- abstract.
Author : M. Y. Hussaini
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)
Download or read book Spectral Methods for Inviscid, Compressible Flows written by M. Y. Hussaini and published by . This book was released on 1983 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard W. Johnson
Publisher : CRC Press
ISBN 13 : 9780849325090
Total Pages : 1962 pages
Book Rating : 4.3/5 (25 download)
Download or read book Handbook of Fluid Dynamics written by Richard W. Johnson and published by CRC Press. This book was released on 1998-05-28 with total page 1962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides professionals in the field of fluid dynamics with a comprehensive guide and resource. The book balances three traditional areas of fluid mechanics - theoretical, computational, and experimental - and expounds on basic science and engineering techniques. Each chapter introduces a topic, discusses the primary issues related to this subject, outlines approaches taken by experts, and supplies references for further information. Topics discussed include: basic engineering fluid dynamics classical fluid dynamics turbulence modeling reacting flows multiphase flows flow and porous media high Reynolds number asymptotic theories finite difference method finite volume method finite element method spectral element methods for incompressible flows experimental methods, such as hot-wire anemometry, laser-Doppler velocimetry, and flow visualization applications, such as axial-flow compressor and fan aerodynamics, turbomachinery, airfoils and wings, atmospheric flows, and mesoscale oceanic flows The text enables experts in particular areas to become familiar with useful information from outside their specialization, providing a broad reference for the significant areas within fluid dynamics.
