Finite Element Methods For Computational Fluid Dynamics


Finite Element Methods For Computational Fluid Dynamics
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Finite Element Methods For Computational Fluid Dynamics


Finite Element Methods For Computational Fluid Dynamics
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Author : Dmitri Kuzmin
language : en
Publisher: SIAM
Release Date : 2014-12-18

Finite Element Methods For Computational Fluid Dynamics written by Dmitri Kuzmin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Science categories.


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.?



The Finite Element Method For Fluid Dynamics


The Finite Element Method For Fluid Dynamics
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Author : Olek C Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-12-08

The Finite Element Method For Fluid Dynamics written by Olek C Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-08 with Science categories.


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



Characteristics Finite Element Methods In Computational Fluid Dynamics


Characteristics Finite Element Methods In Computational Fluid Dynamics
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Author : Joe Iannelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-24

Characteristics Finite Element Methods In Computational Fluid Dynamics written by Joe Iannelli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-24 with Science categories.


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.



Applied Computational Fluid Dynamics Techniques


Applied Computational Fluid Dynamics Techniques
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Author : Rainald Löhner
language : en
Publisher: John Wiley & Sons
Release Date : 2001-08-15

Applied Computational Fluid Dynamics Techniques written by Rainald Löhner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-15 with Mathematics categories.


Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics, and CFD techniques are commonly used in many areas of engineering where fluid behavior is a factor. This book covers the range of topics required for a thorough study and understanding of CFD.



Finite Element Methods For Flow Problems


Finite Element Methods For Flow Problems
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Author : Jean Donea
language : en
Publisher: John Wiley & Sons
Release Date : 2003-06-02

Finite Element Methods For Flow Problems written by Jean Donea and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-02 with Science categories.


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 In Heat Transfer And Fluid Dynamics Third Edition


The Finite Element Method In Heat Transfer And Fluid Dynamics Third Edition
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Author : J. N. Reddy
language : en
Publisher: CRC Press
Release Date : 2010-04-06

The Finite Element Method In Heat Transfer And Fluid Dynamics Third Edition written by J. N. Reddy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-06 with Science categories.


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.



Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer


Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer
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Author : Ben Q. Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-29

Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer written by Ben Q. Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-29 with Technology & Engineering categories.


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.



High Order Methods For Computational Physics


High Order Methods For Computational Physics
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Author : Timothy J. Barth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

High Order Methods For Computational Physics written by Timothy J. Barth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.



Spectral Hp Element Methods For Computational Fluid Dynamics


Spectral Hp Element Methods For Computational Fluid Dynamics
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Author : George Karniadakis
language : en
Publisher: American Chemical Society
Release Date : 2013-01-10

Spectral Hp Element Methods For Computational Fluid Dynamics written by George Karniadakis and has been published by American Chemical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Mathematics categories.


Revision of: Spectral/hp element methods for CFD. 1999.



The Least Squares Finite Element Method


The Least Squares Finite Element Method
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Author : Bo-nan Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

The Least Squares Finite Element Method written by Bo-nan Jiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.


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.