Mathematical And Computational Methods For Compressible Flow

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Mathematical and Computational Methods for Compressible Flow

Author : Miloslav Feistauer,Jiří Felcman,Ivan Straškraba
Publisher : Oxford University Press, USA
Page : 560 pages
File Size : 54,8 Mb
Release : 2003
Category : Computers
ISBN : 0198505884

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Mathematical and Computational Methods for Compressible Flow by Miloslav Feistauer,Jiří Felcman,Ivan Straškraba Pdf

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.

Computational Methods for Fluid Flow

Author : Roger Peyret,Thomas D. Taylor
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 45,5 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.

Principles of Computational Fluid Dynamics

Author : Pieter Wesseling
Publisher : Springer Science & Business Media
Page : 651 pages
File Size : 47,5 Mb
Release : 2009-12-21
Category : Mathematics
ISBN : 9783642051456

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Principles of Computational Fluid Dynamics by Pieter Wesseling Pdf

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.

Numerical Methods for Unsteady Compressible Flow Problems

Author : Philipp Birken
Publisher : CRC Press
Page : 246 pages
File Size : 49,5 Mb
Release : 2021-07-04
Category : Mathematics
ISBN : 9781000403527

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Numerical Methods for Unsteady Compressible Flow Problems by Philipp Birken Pdf

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

Computational Methods for Fluid Dynamics

Author : Joel H. Ferziger,Milovan Peric
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 50,8 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.

Computational Methods in Multiphase Flow IV

Author : A.A. Mammoli,C.A. Brebbia
Publisher : WIT Press
Page : 417 pages
File Size : 50,7 Mb
Release : 2007-05-11
Category : Science
ISBN : 9781845640798

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Computational Methods in Multiphase Flow IV by A.A. Mammoli,C.A. Brebbia Pdf

Fluid Dynamics is one of the most important topics of applied mathematics and physics. Together with complex flows and turbulence, multiphase flows remains one of the most challenging areas of computational mechanics, and even seemingly simple problems remain unsolved to date. Multiphase flows are found in all areas of technology, at all length scales and flow regimes. The fluids involved can be compressible or incompressible, linear or nonlinear. Because of the complexity of the problem, it is often essential to utilize advanced computational and experimental methods to solve the complex equations that describe them. Challenges in these simulations include nonlinear fluids, treating drop breakup and coalescence, characterizing phase structures, and many others.This volume brings together work presented at the Fourth International Conference on Computational and Experimental Methods in Multiphase and Complex Flows. Featured topics include: Suspensions; Bubble and Drop Dynamics; Flow in Porous Media; Interfaces; Turbulent Flow; Injectors and Nozzles; Particle Image Velocimetry; Macroscale Constitutive Models; Large Eddy Simulation; Finite Volumes; Interface Tracking Methods; Biological Flows; Environmental Multiphase Flow; Phase Changes and Stochastic Modelling.

Numerical Analysis of Compressible Fluid Flows

Author : Eduard Feireisl,Mária Lukáčová-Medviďová,Hana Mizerová,Bangwei She
Publisher : Springer Nature
Page : 530 pages
File Size : 40,9 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030737887

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Numerical Analysis of Compressible Fluid Flows by Eduard Feireisl,Mária Lukáčová-Medviďová,Hana Mizerová,Bangwei She Pdf

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.

Computational Techniques for Fluid Dynamics

Author : Clive A. J. Fletcher
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642970719

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Computational Techniques for Fluid Dynamics by Clive A. J. Fletcher Pdf

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.

Computational Methods for Multiphase Flows in Porous Media

Author : Zhangxin Chen,Guanren Huan,Yuanle Ma
Publisher : SIAM
Page : 551 pages
File Size : 44,8 Mb
Release : 2006-04-01
Category : Computers
ISBN : 9780898716061

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Computational Methods for Multiphase Flows in Porous Media by Zhangxin Chen,Guanren Huan,Yuanle Ma Pdf

This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

Elements of Numerical Methods for Compressible Flows

Author : Doyle Knight
Publisher : Cambridge University Press
Page : 280 pages
File Size : 43,5 Mb
Release : 2006-08-14
Category : Mathematics
ISBN : 0521554748

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Elements of Numerical Methods for Compressible Flows by Doyle Knight Pdf

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Handbook of Computational Fluid Mechanics

Author : Anonim
Publisher : Elsevier
Page : 479 pages
File Size : 47,9 Mb
Release : 1996-03-25
Category : Science
ISBN : 9780080532769

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Handbook of Computational Fluid Mechanics by Anonim Pdf

This handbook covers computational fluid dynamics from fundamentals to applications. This text provides a well documented critical survey of numerical methods for fluid mechanics, and gives a state-of-the-art description of computational fluid mechanics, considering numerical analysis, computer technology, and visualization tools. The chapters in this book are invaluable tools for reaching a deeper understanding of the problems associated with the calculation of fluid motion in various situations: inviscid and viscous, incompressible and compressible, steady and unsteady, laminar and turbulent flows, as well as simple and complex geometries. Each chapter includes a related bibliography Covers fundamentals and applications Provides a deeper understanding of the problems associated with the calculation of fluid motion

Theoretical Computational Dynamics

Author : Pai
Publisher : CRC Press
Page : 724 pages
File Size : 44,7 Mb
Release : 1997-03-01
Category : Mathematics
ISBN : 0442303106

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Theoretical Computational Dynamics by Pai Pdf

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

Numerical Methods for Flows

Author : Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza
Publisher : Springer Nature
Page : 358 pages
File Size : 55,5 Mb
Release : 2020-02-22
Category : Mathematics
ISBN : 9783030307059

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Numerical Methods for Flows by Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza Pdf

This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.

Computational Methods in Multiphase Flow VI

Author : Andrea Alberto Mammoli,C. A. Brebbia
Publisher : WIT Press
Page : 345 pages
File Size : 44,9 Mb
Release : 2011
Category : Science
ISBN : 9781845645182

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Computational Methods in Multiphase Flow VI by Andrea Alberto Mammoli,C. A. Brebbia Pdf

Multiphase flows, which can involve compressible or incompressible linear or nonlinear, fluids, Are found in all areas of technology, at all length scales and flow regimes. In spite of their ubiquitousness, however multiphase flow continues to be one of the most challenging areas of computational mechanics and experimental methods, with numerous problems remaining unsolved to date. Because the multiphase flow problems are so complex, advanced computational and experimental methods are often required to solve the equations that describe them. The many hhallenges include modelling nonlinear fluids, modelling and tracking interfaces, dealing with multiple length scales, characterizing phase structures, and treating drop breakup and coalescence. Models must be validated, which requires the use of expensive and difficult experimental techniquess. This book presents contributions on the latest research in these techniques, presented at the sixth in a biennial series of conferences on the subject that begain in 2001. Featured topics include: Bubble and drop dynamics, Flow in porous media, Turbulent flow, Multiphase flow simulation, Image processing, Heat transfer, Interaction of gases, liquids and solids, Interface behaviour, Small scale phenomena, Atomization processes, and Liquid film behaviour.

Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics

Author : Titus Petrila,Damian Trif
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 49,9 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.