Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer

Author : Ben Q. Li
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 45,9 Mb
Release : 2006-06-29
Category : Technology & Engineering
ISBN : 9781846282058

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Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer by Ben Q. Li Pdf

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.

Author : J. N. Reddy,D.K. Gartling
Publisher : CRC Press
Page : 515 pages
File Size : 44,8 Mb
Release : 2010-04-06
Category : Science
ISBN : 9781420085983

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The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by J. N. Reddy,D.K. Gartling Pdf

As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.

Author : Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu
Publisher : John Wiley and Sons
Page : 357 pages
File Size : 41,7 Mb
Release : 2008-02-07
Category : Science
ISBN : 9780470346389

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Fundamentals of the Finite Element Method for Heat and Fluid Flow by Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu Pdf

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.

Author : Darrell W. Pepper,Juan C. Heinrich
Publisher : Routledge
Page : 619 pages
File Size : 52,9 Mb
Release : 2017-11-01
Category : Science
ISBN : 9781351410120

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The Intermediate Finite Element Method by Darrell W. Pepper,Juan C. Heinrich Pdf

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.

Author : Perumal Nithiarasu,Roland W. Lewis,Kankanhalli N. Seetharamu
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 52,6 Mb
Release : 2016-01-27
Category : Science
ISBN : 9781118535431

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Fundamentals of the Finite Element Method for Heat and Mass Transfer by Perumal Nithiarasu,Roland W. Lewis,Kankanhalli N. Seetharamu Pdf

Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. • Addresses fundamentals, applications and computer implementation • Educational computer codes are freely available to download, modify and use • Includes a large number of worked examples and exercises • Fills the gap between learning and research

Author : Hou-Cheng Huang,Asif S. Usmani
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781447120919

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Finite Element Analysis for Heat Transfer by Hou-Cheng Huang,Asif S. Usmani Pdf

This text presents an introduction to the application of the finite ele ment method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an intro duction to the finite element method (FEM) solely from a heat transfer perspective. Most introductory texts attempt to teach FEM from a struc tural engineering background, which may distract non-structural engineers from pursuing this important subject with full enthusiasm. We feel that our approach provides a better alternative for non-structural engineers. Secondly, for people who are interested in using FEM for heat transfer, we have attempted to cover a wide range of topics, presenting the essential the ory and full implementational details including two FORTRAN programs. In addition to the basic FEM heat transfer concepts and implementation, we have also presented some modem techniques which are being used to enhance the accuracy and speed of the conventional method. In writing the text we have endeavoured to keep it accessible to persons with qualifications of no more than an engineering graduate. As mentioned earlier this book may be used to learn FEM by beginners, this may include undergraduate students and practicing engineers. However, there is enough advanced material to interest more experienced practitioners.

Author : Hou-Cheng Huang,Zheng-Hua Li,Asif S. Usmani
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447107996

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Finite Element Analysis of Non-Newtonian Flow by Hou-Cheng Huang,Zheng-Hua Li,Asif S. Usmani Pdf

A follow on from the author's work "Finite Elements in Heat Transfer" which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.

Author : Erian A. Baskharone
Publisher : Unknown
Page : 373 pages
File Size : 47,8 Mb
Release : 2014
Category : TECHNOLOGY & ENGINEERING
ISBN : OCLC:1330342136

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The Finite Element Method with Heat Transfer and Fluid Mechanics Applications by Erian A. Baskharone Pdf

"This book is intended for advanced undergraduate and graduate students. The first four chapters are devoted to the introduction of the finite element concept. The focus of the book then covers two essential areas - heat transfer and fluid mechanics: topics with different finite element formulations. The heat transfer applications begin with the classical one-dimensional thin-rod problem, followed by a discussion of the two-dimensional heat transfer problem including a variety of boundary conditions. Finally, a complicated-geometry three-dimensional problem, involving a cooled radial turbine rotor, is presented, with the cooling passages treated as "heat sinks" in the finite element analysis. For fluid mechanics, the concept of "nodeless" degrees of freedom is introduced, with real-life fluid-flow applications. The time-dependent finite-element analysis topic is addressed through the problem of unsteady stator/rotor flow interaction within a turbomachinery stage. Finally, the concept of "virtually-deformable finite elements," as it relates to the problem of fluid-induced vibration, is explained in detail with many practical applications"--

Author : Darrell W. Pepper,Juan C. Heinrich
Publisher : Taylor & Francis
Page : 326 pages
File Size : 42,9 Mb
Release : 2005-10-31
Category : Technology & Engineering
ISBN : 9780203942352

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The Finite Element Method by Darrell W. Pepper,Juan C. Heinrich Pdf

This much-anticipated second edition introduces the fundamentals of the finite element method featuring clear-cut examples and an applications-oriented approach. Using the transport equation for heat transfer as the foundation for the governing equations, this new edition demonstrates the versatility of the method for a wide range of applications, including structural analysis and fluid flow. Much attention is given to the development of the discrete set of algebraic equations, beginning with simple one-dimensional problems that can be solved by inspection, continuing to two- and three-dimensional elements, and ending with three chapters describing applications. The increased number of example problems per chapter helps build an understanding of the method to define and organize required initial and boundary condition data for specific problems. In addition to exercises that can be worked out manually, this new edition refers to user-friendly computer codes for solving one-, two-, and three-dimensional problems. Among the first FEM textbooks to include finite element software, the book contains a website with access to an even more comprehensive list of finite element software written in FEMLAB, MAPLE, MathCad, MATLAB, FORTRAN, C++, and JAVA - the most popular programming languages. This textbook is valuable for senior level undergraduates in mechanical, aeronautical, electrical, chemical, and civil engineering. Useful for short courses and home-study learning, the book can also serve as an introduction for first-year graduate students new to finite element coursework and as a refresher for industry professionals. The book is a perfect lead-in to Intermediate Finite Element Method: Fluid Flow and Heat and Transfer Applications (Taylor & Francis, 1999, Hb 1560323094).

Author : Bernardo Cockburn,George E. Karniadakis,Chi-Wang Shu
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642597213

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Discontinuous Galerkin Methods by Bernardo Cockburn,George E. Karniadakis,Chi-Wang Shu Pdf

A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.

Author : Darrell W. Pepper,Juan C. Heinrich
Publisher : CRC Press
Page : 421 pages
File Size : 49,5 Mb
Release : 2017-04-11
Category : Business & Economics
ISBN : 9781315395081

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The Finite Element Method by Darrell W. Pepper,Juan C. Heinrich Pdf

This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed on the development of the discrete set of algebraic equations. The example problems and exercises in each chapter explain the procedure for defining and organizing the required initial and boundary condition data for a specific problem, and computer code listings in MATLAB and MAPLE are included for setting up the examples within the text, including COMSOL files. Widely used as an introductory Finite Element Method text since 1992 and used in past ASME short courses and AIAA home study courses, this text is intended for undergraduate and graduate students taking Finite Element Methodology courses, engineers working in the industry that need to become familiar with the FEM, and engineers working in the field of heat transfer. It can also be used for distance education courses that can be conducted on the web. Highlights of the new edition include: - Inclusion of MATLAB, MAPLE code listings, along with several COMSOL files, for the example problems within the text. Power point presentations per chapter and a solution manual are also available from the web. - Additional introductory chapters on the boundary element method and the meshless method. - Revised and updated content. -Simple and easy to follow guidelines for understanding and applying the Finite Element Method.

Author : J. N. Reddy,N. K. Anand,P. Roy
Publisher : Cambridge University Press
Page : 405 pages
File Size : 54,8 Mb
Release : 2022-10-31
Category : Computers
ISBN : 9781009275484

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Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics by J. N. Reddy,N. K. Anand,P. Roy Pdf

A unified and accessible introduction for graduate courses in computational fluid dynamics and heat transfer. This unique approach covers all necessary mathematical preliminaries before walking the student through the most common heat transfer and fluid dynamics problems, then testing their understanding further with ample end-of-chapter problems.

Author : Nikolaos D. Katopodes
Publisher : Butterworth-Heinemann
Page : 914 pages
File Size : 48,8 Mb
Release : 2018-10-31
Category : Technology & Engineering
ISBN : 9780128154861

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Free-Surface Flow by Nikolaos D. Katopodes Pdf

Free-Surface Flow: Computational Methods presents a detailed analysis of numerical schemes for shallow-water waves. It includes practical applications for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow. Closure models for turbulence, such as Reynolds-Averaged Navier-Stokes and Large Eddy Simulation are presented, coupling the aforementioned surface tracking techniques with environmental fluid dynamics. While many computer programs can solve the partial differential equations describing the dynamics of fluids, many are not capable of including free surfaces in their simulations. Provides numerical solutions of the turbulent Navier-Stokes equations in three space dimensions Includes closure models for turbulence, such as Reynolds-Averaged Navier-Stokes, and Large Eddy Simulation Practical applications are presented for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow

Author : Paul E. Allaire
Publisher : WCB/McGraw-Hill
Page : 728 pages
File Size : 45,9 Mb
Release : 1985
Category : Finite element method
ISBN : 0697001199

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Basics of the Finite Element Method by Paul E. Allaire Pdf

Author : Gabriel R. Barrenechea,Franco Brezzi,Andrea Cangiani,Emmanuil H. Georgoulis
Publisher : Springer
Page : 433 pages
File Size : 55,9 Mb
Release : 2016-10-03
Category : Computers
ISBN : 9783319416403

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Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations by Gabriel R. Barrenechea,Franco Brezzi,Andrea Cangiani,Emmanuil H. Georgoulis Pdf

This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.