The Finite Element Method For Fluid Dynamics

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Characteristics Finite Element Methods in Computational Fluid Dynamics

Author : Joe Iannelli
Publisher : Springer Science & Business Media
Page : 744 pages
File Size : 41,8 Mb
Release : 2006-09-24
Category : Science
ISBN : 9783540453437

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Characteristics Finite Element Methods in Computational Fluid Dynamics by Joe Iannelli Pdf

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 Methods for Computational Fluid Dynamics

Author : Dmitri Kuzmin,Jari Hamalainen
Publisher : SIAM
Page : 321 pages
File Size : 45,7 Mb
Release : 2014-12-18
Category : Science
ISBN : 9781611973600

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Finite Element Methods for Computational Fluid Dynamics by Dmitri Kuzmin,Jari Hamalainen Pdf

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 for Flow Problems

Author : Jean Donea,Antonio Huerta
Publisher : John Wiley & Sons
Page : 366 pages
File Size : 46,9 Mb
Release : 2003-06-02
Category : Science
ISBN : 0471496669

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Finite Element Methods for Flow Problems by Jean Donea,Antonio Huerta Pdf

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 Finite Element Method for Fluid Dynamics

Author : Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu
Publisher : Elsevier
Page : 400 pages
File Size : 55,7 Mb
Release : 2005-12-08
Category : Science
ISBN : 9780080455594

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The Finite Element Method for Fluid Dynamics by Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu Pdf

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series. New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers. Extensive new coverage of turbulent flow and free surface treatments

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Author : Ben Q. Li
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 52,9 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.

Finite Element Analysis in Fluid Dynamics

Author : T. J. Chung
Publisher : Unknown
Page : 400 pages
File Size : 48,9 Mb
Release : 1978
Category : Science
ISBN : UOM:39015011742734

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Finite Element Analysis in Fluid Dynamics by T. J. Chung Pdf

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

Finite Element Methods for Incompressible Flow Problems

Author : Volker John
Publisher : Springer
Page : 812 pages
File Size : 53,7 Mb
Release : 2016-10-27
Category : Mathematics
ISBN : 9783319457505

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Finite Element Methods for Incompressible Flow Problems by Volker John Pdf

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.

The Intermediate Finite Element Method

Author : Darrell W. Pepper,Juan C. Heinrich
Publisher : Routledge
Page : 619 pages
File Size : 44,5 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.

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

Author : Erian A. Baskharone
Publisher : Cambridge University Press
Page : 393 pages
File Size : 49,8 Mb
Release : 2014
Category : Mathematics
ISBN : 9781107039810

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

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

The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition

Author : J. N. Reddy,D.K. Gartling
Publisher : CRC Press
Page : 515 pages
File Size : 41,5 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.

有限元方法:流体力学

Author : O. C. Zienkiewicz,Perumal Nithiarasu
Publisher : Unknown
Page : 435 pages
File Size : 52,9 Mb
Release : 2005
Category : Finite element method
ISBN : 7506292564

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有限元方法:流体力学 by O. C. Zienkiewicz,Perumal Nithiarasu Pdf

Fundamentals of the Finite Element Method for Heat and Fluid Flow

Author : Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu
Publisher : John Wiley and Sons
Page : 357 pages
File Size : 52,7 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.

The Least-Squares Finite Element Method

Author : Bo-nan Jiang
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 51,8 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662037409

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The Least-Squares Finite Element Method by Bo-nan Jiang Pdf

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.

Finite Element Methods for Fluids

Author : Olivier Pironneau
Publisher : Unknown
Page : 224 pages
File Size : 50,8 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015017963987

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Finite Element Methods for Fluids by Olivier Pironneau Pdf

Introduces the formulation of problems in fuild mechanics and dynamics, and shows how they can be analyzed and resolved using finite element methods. This practical book also discusses the equations of fluid mechanics and investigates the problems to which these equations can be applied, as well as how they can be analyzed and solved. Contains illustrations of computer simulations using the methods described in the book and features numerous illustrations.

The Finite Element Method

Author : Zhu
Publisher : John Wiley & Sons
Page : 872 pages
File Size : 52,7 Mb
Release : 2018-03-12
Category : Mathematics
ISBN : 9781119107330

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The Finite Element Method by Zhu Pdf

A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.