Finite Element Methods for Flow Problems

Finite Element Methods for Flow Problems
Author: Jean Donea,Antonio Huerta
Publsiher: John Wiley & Sons
Total Pages: 362
Release: 2003-06-02
Genre: Science
ISBN: 0471496669

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In recent years there have been significant developments in the development of stable and accurate finite element procedures for the numerical approximation of a wide range of fluid mechanics problems. Taking an engineering rather than a mathematical bias, this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady and time-dependent fluid dynamics problems. Organised into six chapters, this text combines theoretical aspects and practical applications and offers coverage of the latest research in several areas of computational fluid dynamics. * Coverage includes new and advanced topics unavailable elsewhere in book form * Collection in one volume of the widely dispersed literature reporting recent progress in this field * Addresses the key problems and offers modern, practical solutions Due to the balance between the concise explanation of the theory and the detailed description of modern practical applications, this text is suitable for a wide audience including academics, research centres and government agencies in aerospace, automotive and environmental engineering.

Finite Element Methods for Incompressible Flow Problems

Finite Element Methods for Incompressible Flow Problems
Author: Volker John
Publsiher: Springer
Total Pages: 812
Release: 2016-10-27
Genre: Mathematics
ISBN: 9783319457505

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This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.

Finite Element Methods for Viscous Incompressible Flows

Finite Element Methods for Viscous Incompressible Flows
Author: Max D. Gunzburger
Publsiher: Elsevier
Total Pages: 288
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 9780323139823

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In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

The Finite Element Method Set

The Finite Element Method Set
Author: Olek C. Zienkiewicz,Robert L. Taylor
Publsiher: Butterworth-Heinemann
Total Pages: 3
Release: 2013-11-20
Genre: Technology & Engineering
ISBN: 1856176304

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The Finite Element Method Set, 7th Edition is an extensive reference resource covering the theory and application of FEM in solid, structural and fluid systems. Taking in three books also available separately, the set is software independent and covers founding principles alongside the latest developments in mathematics, modeling and analysis. The Finite Element Method: Its Basis and Fundamentals, 7th Edition The Finite Element Method for Solid and Structural Mechanics, 7th Edition The Finite Element Method for Fluid Dynamics, 7th Edition

Finite Element Techniques for Fluid Flow

Finite Element Techniques for Fluid Flow
Author: J. J. Connor,C. A. Brebbia
Publsiher: Newnes
Total Pages: 320
Release: 2013-09-11
Genre: Technology & Engineering
ISBN: 9781483161167

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Finite Element Techniques for Fluid Flow describes the advances in the applications of finite element techniques to fluid mechanics. Topics covered range from weighted residual and variational methods to interpolation functions, inviscid fluids, and flow through porous media. The basic principles and governing equations of fluid mechanics as well as problems related to dispersion and shallow water circulation are also discussed. This text is comprised of nine chapters; the first of which explains some basic definitions and properties as well as the basic principles of weighted residual and variational methods. The reader is then introduced to the simple finite element concepts and models, and gradually to more complex applications. The chapters that follow focus on the governing equations of fluid flow, the solutions to potential type problems, and viscous flow problems in porous media. The solutions to more specialized problems are also presented. This book also considers how circulation problems can be tackled using finite elements, presents a solution to the mass transfer equation, and concludes with an explanation of how to solve general transient incompressible flows. This source will be of use to engineers, applied mathematicians, physicists, self-taught students, and research workers.

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications
Author: Erian A. Baskharone
Publsiher: Cambridge University Press
Total Pages: 373
Release: 2013-09-16
Genre: Mathematics
ISBN: 9781107039810

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This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.

Finite Element Methods for Computational Fluid Dynamics

Finite Element Methods for Computational Fluid Dynamics
Author: Dmitri Kuzmin,Jari Hamalainen
Publsiher: SIAM
Total Pages: 313
Release: 2014-12-18
Genre: Science
ISBN: 9781611973617

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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.

Finite Element Methods in Flow Problems

Finite Element Methods in Flow Problems
Author: John Tinsley Oden
Publsiher: Unknown
Total Pages: 772
Release: 1974
Genre: Finite element method
ISBN: UCAL:B4178527

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Finite Element Techniques in Groundwater Flow Studies

Finite Element Techniques in Groundwater Flow Studies
Author: I. Kazda
Publsiher: Elsevier
Total Pages: 328
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 9780444598325

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The finite element method (FEM) is one of those modern numerical methods whose rise and development was incited by the rapid development of computers. This method has found applications in all the technical disciplines as well as in the natural sciences. One of the most effective applications of the finite element method is its use for the solution of groundwater flow problems encountered in the design and maintenance of hydraulic structures and tailing dams, in soil mechanics, hydrology, hydrogeology and engineering geology. The stimuli to write this book came from the results obtained in the solution of practical problems connected both with the construction and maintenance of fill-type dams and tailing dams and the utilization of groundwater in Czechoslovakia, and on the other hand from the experience gained in teaching hydraulic structures theory at the Faculty of Civil Engineering of the Technical University of Prague. All the experience so far obtained shows markedly the advantages of the finite element method and the great possibilities of its further development as well as its considerable demands on the algorithmization, programming and use of computer possibilities. The reader will find an explanation of the fundamentals of the finite element method directed mainly toward isoparametric elements having an exceptional adaptability and numerical reliability. The finite element method application to groundwater flow concerns mainly two-dimensional problems, which occur most frequently in practice. Considerable attention is given to non-linear and non-stationary problems, which are most important in application. A computer program (based on the eight-noded isoparametric elements) is included and fully documented. The book will be useful to civil engineers, hydrogeologists and engineering geologists who need the finite element method as a solution tool for the complex problems encountered in engineering practice.

Proceedings of the International Conference on Finite Element Methods in Flow Problems

Proceedings of the     International Conference on Finite Element Methods in Flow Problems
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1989
Genre: Finite element method
ISBN: CORNELL:31924052540915

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Fundamentals of the Finite Element Method for Heat and Fluid Flow

Fundamentals of the Finite Element Method for Heat and Fluid Flow
Author: Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu
Publsiher: John Wiley and Sons
Total Pages: 356
Release: 2008-02-07
Genre: Science
ISBN: 9780470346389

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Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.

Finite Element Methods and Their Applications

Finite Element Methods and Their Applications
Author: Zhangxin Chen
Publsiher: Springer Science & Business Media
Total Pages: 410
Release: 2006-03-30
Genre: Science
ISBN: 9783540280781

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Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

FINITE element methods in flow problems

FINITE element methods in flow problems
Author: Anonim
Publsiher: Unknown
Total Pages: 772
Release: 1974
Genre: Electronic Book
ISBN: OCLC:878699391

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The Finite Element Method Its Basis and Fundamentals

The Finite Element Method  Its Basis and Fundamentals
Author: Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publsiher: Elsevier
Total Pages: 752
Release: 2005-05-26
Genre: Technology & Engineering
ISBN: 008047277X

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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

Finite Element Methods in Mechanics

Finite Element Methods in Mechanics
Author: Noboru Kikuchi
Publsiher: CUP Archive
Total Pages: 418
Release: 1986-06-12
Genre: Mathematics
ISBN: 0521339723

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This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i.e. the principle of virtual work in elasticity) from a boundary value problem that represents the mechanical behaviour of solids and fluids. Finite element approximations are then derived from this weak form. The book contains many useful exercises and the author appropriately provides the student with computer programs in both BASIC and FORTRAN for solving them. Furthermore, a workbook is available with additional computer listings, and also an accompanying disc that contains the BASIC programs for use on IBM-PC microcomputers and their compatibles. Thus the usefulness and versatility of this text is enhanced by the student's ability to practise problem solving on accessible microcomputers.