Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer PDF Author: Ben Q. Li
Publisher: Springer Science & Business Media
ISBN: 1846282055
Category : Technology & Engineering
Languages : en
Pages : 587

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Book Description
Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.

Characteristics Finite Element Methods in Computational Fluid Dynamics

Characteristics Finite Element Methods in Computational Fluid Dynamics PDF Author: Joe Iannelli
Publisher: Springer Science & Business Media
ISBN: 3540453431
Category : Science
Languages : en
Pages : 744

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Book Description
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.

Finite Element Analysis in Fluid Dynamics

Finite Element Analysis in Fluid Dynamics PDF Author: T. J. Chung
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 400

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Book Description
New York : McGraw-Hill International Book Co., c1978.

Fundamentals of the Finite Element Method for Heat and Fluid Flow

Fundamentals of the Finite Element Method for Heat and Fluid Flow PDF Author: Roland W. Lewis
Publisher: John Wiley and Sons
ISBN: 0470346388
Category : Science
Languages : en
Pages : 357

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Book Description
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.

The Intermediate Finite Element Method

The Intermediate Finite Element Method PDF Author: Darrell W. Pepper
Publisher: Routledge
ISBN: 1351410121
Category : Science
Languages : en
Pages : 619

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Book Description
This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications PDF Author: Erian A. Baskharone
Publisher: Cambridge University Press
ISBN: 1107039819
Category : Mathematics
Languages : en
Pages : 393

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

An Introduction to the Finite Element Method

An Introduction to the Finite Element Method PDF Author: Junuthula Narasimha Reddy
Publisher:
ISBN: 9780071244732
Category : Finite element method
Languages : en
Pages : 766

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Book Description
The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world

Finite Element Methods for Flow Problems

Finite Element Methods for Flow Problems PDF Author: Jean Donea
Publisher: John Wiley & Sons
ISBN: 9780471496663
Category : Science
Languages : en
Pages : 366

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Book Description
Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.

The Least-Squares Finite Element Method

The Least-Squares Finite Element Method PDF Author: Bo-nan Jiang
Publisher: Springer Science & Business Media
ISBN: 9783540639343
Category : Computers
Languages : en
Pages : 444

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Book Description
This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics PDF Author: O. C. Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 0080951368
Category : Technology & Engineering
Languages : en
Pages : 657

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Book Description
The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book's content, including new chapters on: - Material constitution using representative volume elements - Differential geometry and calculus on manifolds - Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers. - A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features new chapters on topics including material constitution using representative volume elements, as well as consolidated and expanded sections on rod and shell models