Mathematical Methods In Fluid Dynamics
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Mathematical Methods In Fluid Dynamics
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Author : M. Feistauer
language : en
Publisher: Halsted Press
Release Date : 1993-08-01
Mathematical Methods In Fluid Dynamics written by M. Feistauer and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-01 with Fluid dynamics categories.
Mathematical Methods In Fluid Dynamics
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Author : Miloslav Feistauer
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1993-07-05
Mathematical Methods In Fluid Dynamics written by Miloslav Feistauer and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-05 with Mathematics categories.
Part of the "Pitman Monographs and Surveys in Pure and Applied Mathematics" series, this text examines mathematical methods in fluid dynamics.
A Mathematical Introduction To Fluid Mechanics
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Author : A. J. Chorin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Mathematical Introduction To Fluid Mechanics written by A. J. Chorin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.
Computational Methods For Fluid Flow
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Author : Roger Peyret
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Methods For Fluid Flow written by Roger Peyret and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Lectures On Fluid Dynamics
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Author : Roman Jackiw
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-17
Lectures On Fluid Dynamics written by Roman Jackiw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-17 with Science categories.
Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable
Computational Techniques For Fluid Dynamics
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Author : Karkenahalli Srinivas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Techniques For Fluid Dynamics written by Karkenahalli Srinivas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition. Consequently there is no Chapter 1 in this solutions manual. The solutions are indicated in enough detail for the serious reader to have little difficulty in completing any intermediate steps. Many of the problems require the reader to write a computer program to obtain the solution. Tabulated data, from computer output, are included where appropriate and coding enhancements to the programs provided in CTFD are indicated in the solutions. In some instances completely new programs have been written and the listing forms part of the solution. All of the program modifications, new programs and input/output files are available on an IBM compatible floppy direct from C.A.J. Fletcher. Many of the problems are substantial enough to be considered mini-projects and the discussion is aimed as much at encouraging the reader to explore ex tensions and what-if scenarios leading to further dcvelopment as at providing neatly packaged solutions. Indeed, in order to givc the reader a better intro duction to CFD reality, not all the problems do have a "happy ending". Some suggested extensions fail; but the reasons for the failure are illuminating.
Numerical Methods In Fluid Dynamics
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Author : Maurice Holt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Methods In Fluid Dynamics written by Maurice Holt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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
Spectral Methods In Fluid Dynamics
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Author : Claudio Canuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spectral Methods In Fluid Dynamics written by Claudio Canuto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Topological Methods In Hydrodynamics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Topological Methods In Hydrodynamics written by Vladimir I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Mathematics categories.
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.