Basic Control Volume Finite Element Methods For Fluids And Solids


Basic Control Volume Finite Element Methods For Fluids And Solids
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Basic Control Volume Finite Element Methods For Fluids And Solids


Basic Control Volume Finite Element Methods For Fluids And Solids
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Author : Vaughan R. Voller
language : en
Publisher: World Scientific
Release Date : 2009

Basic Control Volume Finite Element Methods For Fluids And Solids written by Vaughan R. Voller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


The Control Volume Finite Element Method (CVFEM) is a hybrid numerical methods, combining the physics intuition of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focuses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems.



Basic Control Volume Finite Element Methods For Fluids And Solids


Basic Control Volume Finite Element Methods For Fluids And Solids
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Author : Vaughan R. Voller
language : en
Publisher:
Release Date : 2008-12-31

Basic Control Volume Finite Element Methods For Fluids And Solids written by Vaughan R. Voller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-31 with Science categories.




Basic Control Volume Finite Element Methods For Fluids And Solids


Basic Control Volume Finite Element Methods For Fluids And Solids
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Author :
language : en
Publisher:
Release Date :

Basic Control Volume Finite Element Methods For Fluids And Solids written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Finite Elements For Solids Fluids And Optimization


Finite Elements For Solids Fluids And Optimization
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Author : G. A. Mohr
language : en
Publisher: Oxford University Press, USA
Release Date : 1992

Finite Elements For Solids Fluids And Optimization written by G. A. Mohr and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Law categories.


The finite element method is a numerical procedure for solving the ordinary and partial differential equations that commonly arise in engineering and mathematical physics. This text offers a complete, self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The authors' extensive practical experience in the field allows for a text well balanced between theory and application. Techniques for formatting finite element apparatus to problems are carefully explained. Programming techniques for solving resulting FEM problems also receive comprehensive treatment. Worked examples are scattered throughout the text.



Application Of Control Volume Based Finite Element Method Cvfem For Nanofluid Flow And Heat Transfer


Application Of Control Volume Based Finite Element Method Cvfem For Nanofluid Flow And Heat Transfer
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Author : Mohsen Sheikholeslami
language : en
Publisher: Elsevier
Release Date : 2018-09-14

Application Of Control Volume Based Finite Element Method Cvfem For Nanofluid Flow And Heat Transfer written by Mohsen Sheikholeslami and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-14 with Technology & Engineering categories.


Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer discusses this powerful numerical method that uses the advantages of both finite volume and finite element methods for the simulation of multi-physics problems in complex geometries, along with its applications in heat transfer and nanofluid flow. The book applies these methods to solve various applications of nanofluid in heat transfer enhancement. Topics covered include magnetohydrodynamic flow, electrohydrodynamic flow and heat transfer, melting heat transfer, and nanofluid flow in porous media, all of which are demonstrated with case studies. This is an important research reference that will help readers understand the principles and applications of this novel method for the analysis of nanofluid behavior in a range of external forces. Explains governing equations for nanofluid as working fluid Includes several CVFEM codes for use in nanofluid flow analysis Shows how external forces such as electric fields and magnetic field effects nanofluid flow



Hydrothermal Analysis In Engineering Using Control Volume Finite Element Method


Hydrothermal Analysis In Engineering Using Control Volume Finite Element Method
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Author : Mohsen Sheikholeslami
language : en
Publisher: Academic Press
Release Date : 2015-02-27

Hydrothermal Analysis In Engineering Using Control Volume Finite Element Method written by Mohsen Sheikholeslami and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-27 with Technology & Engineering categories.


Control volume finite element methods (CVFEM) bridge the gap between finite difference and finite element methods, using the advantages of both methods for simulation of multi-physics problems in complex geometries. In Hydrothermal Analysis in Engineering Using Control Volume Finite Element Method, CVFEM is covered in detail and applied to key areas of thermal engineering. Examples, exercises, and extensive references are used to show the use of the technique to model key engineering problems such as heat transfer in nanofluids (to enhance performance and compactness of energy systems), hydro-magnetic techniques in materials and bioengineering, and convective flow in fluid-saturated porous media. The topics are of practical interest to engineering, geothermal science, and medical and biomedical sciences. Introduces a detailed explanation of Control Volume Finite Element Method (CVFEM) to provide for a complete understanding of the fundamentals Demonstrates applications of this method in various fields, such as nanofluid flow and heat transfer, MHD, FHD, and porous media Offers complete familiarity with the governing equations in which nanofluid is used as a working fluid Discusses the governing equations of MHD and FHD Provides a number of extensive examples throughout the book Bonus appendix with sample computer code



The Finite Element Method Fluid Dynamics


The Finite Element Method Fluid Dynamics
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Author : O. C. Zienkiewicz
language : en
Publisher: Wiley
Release Date : 2000-10-05

The Finite Element Method Fluid Dynamics written by O. C. Zienkiewicz and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-05 with Technology & Engineering categories.


Coverage of the whole range of fluid dynamics - including incompressible slow viscous flow, high-speed supersonic flows, shallow water flow, ocean waves, and metal and plastic forming. Up-to-date material on the Characteristic Galerkin Method. New methodologies for dealing with supersonic and hypersonic behaviours. New material on free surface phenomena. "...the publication of the first edition was an epoch making event...it is written by...the greatest theorist of the subject. If you are serious about finite elements, this is a book that you simply cannot afford to be without." International Journal of Numerical Methods in Engineering. "...the pre-eminent reference work on finite element analysis." Applied Mechanical Review. "...a very good book...presentation is first class...will be of great assistance to all engineers and scientists interested in the method...a very commendable piece of work.—"Journal of the British Society for Strain Measurement.



Numerical Methods For Partial Differential Equations


Numerical Methods For Partial Differential Equations
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Author : Sandip Mazumder
language : en
Publisher: Academic Press
Release Date : 2015-12-01

Numerical Methods For Partial Differential Equations written by Sandip Mazumder and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Technology & Engineering categories.


Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industry Includes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codes Includes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives



The Finite Element Method


The Finite Element Method
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Author : Zhu
language : en
Publisher: John Wiley & Sons
Release Date : 2018-03-20

The Finite Element Method written by Zhu 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 2018-03-20 with Mathematics categories.


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.



Computational Methods In Engineering


Computational Methods In Engineering
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Author : J.N. Reddy
language : en
Publisher: CRC Press
Release Date : 2024-03-19

Computational Methods In Engineering 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 2024-03-19 with Mathematics categories.


Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM). Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularly in its use of the control domain method and how it can provide a comprehensive computational approach. The final chapters look at ways to use different numerical methods, primarily FEM and DMCDM, to solve typical problems of bending of beams, axisymmetric circular plates, and other nonlinear problems. This book is a useful guide to numerical methods for professionals and students in all areas of engineering and engineering mathematics.