Mathematical And Computational Methods For Compressible Flow
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Author | : Miloslav Feistauer |
Publisher | : Oxford University Press, USA |
Total Pages | : 560 |
Release | : 2003 |
Genre | : Computers |
ISBN | : 9780198505884 |
Download Mathematical and Computational Methods for Compressible Flow Book in PDF, Epub and Kindle
This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.
Author | : Roger Peyret |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642859526 |
Download Computational Methods for Fluid Flow Book in PDF, Epub and Kindle
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 | : Philipp Birken |
Publisher | : CRC Press |
Total Pages | : 246 |
Release | : 2021-07-04 |
Genre | : Mathematics |
ISBN | : 1000403521 |
Download Numerical Methods for Unsteady Compressible Flow Problems Book in PDF, Epub and Kindle
Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts. The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes. Features Applications to aerospace, high-speed vehicles, heat transfer, and more besides Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field
Author | : Eduard Feireisl |
Publisher | : Springer Nature |
Total Pages | : 530 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 3030737888 |
Download Numerical Analysis of Compressible Fluid Flows Book in PDF, Epub and Kindle
This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.
Author | : Doyle Knight |
Publisher | : Cambridge University Press |
Total Pages | : 280 |
Release | : 2006-08-14 |
Genre | : Mathematics |
ISBN | : 9780521554749 |
Download Elements of Numerical Methods for Compressible Flows Book in PDF, Epub and Kindle
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Author | : Pieter Wesseling |
Publisher | : Springer Science & Business Media |
Total Pages | : 651 |
Release | : 2009-12-21 |
Genre | : Mathematics |
ISBN | : 3642051456 |
Download Principles of Computational Fluid Dynamics Book in PDF, Epub and Kindle
This up-to-date book gives an account of the present state of the art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated in some detail, using elementary methods. The author gives many pointers to the current literature, facilitating further study. This book will become the standard reference for CFD for the next 20 years.
Author | : Sven Gross |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2011-04-26 |
Genre | : Mathematics |
ISBN | : 3642196861 |
Download Numerical Methods for Two-phase Incompressible Flows Book in PDF, Epub and Kindle
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author | : Eleuterio F. Toro |
Publisher | : Springer Science & Business Media |
Total Pages | : 635 |
Release | : 2013-04-17 |
Genre | : Technology & Engineering |
ISBN | : 366203915X |
Download Riemann Solvers and Numerical Methods for Fluid Dynamics Book in PDF, Epub and Kindle
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 | : Andrea Prosperetti |
Publisher | : Cambridge University Press |
Total Pages | : 392 |
Release | : 2009-06-25 |
Genre | : Mathematics |
ISBN | : 1139459902 |
Download Computational Methods for Multiphase Flow Book in PDF, Epub and Kindle
Thanks to high-speed computers and advanced algorithms, the important field of modelling multiphase flows is an area of rapid growth. This one-stop account – now in paperback, with corrections from the first printing – is the ideal way to get to grips with this topic, which has significant applications in industry and nature. Each chapter is written by an acknowledged expert and includes extensive references to current research. All of the chapters are essentially independent and so the book can be used for a range of advanced courses and the self-study of specific topics. No other book covers so many topics related to multiphase flow, and it will therefore be warmly welcomed by researchers and graduate students of the subject across engineering, physics, and applied mathematics.
Author | : Pai |
Publisher | : CRC Press |
Total Pages | : 724 |
Release | : 1997-03-01 |
Genre | : Mathematics |
ISBN | : 9780442303105 |
Download Theoretical Computational Dynamics Book in PDF, Epub and Kindle
Emphasis of this text is on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems. Published by Science Press, Beijing, distributed by VNR in the US. Annotation copyrighted by Book News, Inc., Portland, OR