Moving Finite Element Method PDF Download
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Author | : Maria do Carmo Coimbra |
Publisher | : CRC Press |
Total Pages | : 176 |
Release | : 2016-11-30 |
Genre | : Mathematics |
ISBN | : 1498723896 |
Download Moving Finite Element Method Book in PDF, ePub and Kindle
This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
Author | : G.R. Liu |
Publisher | : CRC Press |
Total Pages | : 715 |
Release | : 2002-07-29 |
Genre | : Mathematics |
ISBN | : 1420040588 |
Download Mesh Free Methods Book in PDF, ePub and Kindle
As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,
Author | : Maria do Carmo Coimbra |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 2016-11-30 |
Genre | : Mathematics |
ISBN | : 1498723888 |
Download Moving Finite Element Method Book in PDF, ePub and Kindle
This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
Author | : G.R. Liu |
Publisher | : Elsevier |
Total Pages | : 384 |
Release | : 2003-02-21 |
Genre | : Technology & Engineering |
ISBN | : 0080472761 |
Download Finite Element Method Book in PDF, ePub and Kindle
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality
Author | : G.R. Liu |
Publisher | : CRC Press |
Total Pages | : 772 |
Release | : 2009-10-06 |
Genre | : Mathematics |
ISBN | : 1420082108 |
Download Meshfree Methods Book in PDF, ePub and Kindle
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit
Author | : P. SESHU |
Publisher | : PHI Learning Pvt. Ltd. |
Total Pages | : 340 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 8120323157 |
Download TEXTBOOK OF FINITE ELEMENT ANALYSIS Book in PDF, ePub and Kindle
Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.
Author | : Edmund Wittbrodt |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2007-04-17 |
Genre | : Technology & Engineering |
ISBN | : 354032352X |
Download Dynamics of Flexible Multibody Systems Book in PDF, ePub and Kindle
A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model.
Author | : Gilbert Strang |
Publisher | : Wellesley-Cambridge Press |
Total Pages | : 0 |
Release | : 2018-02-08 |
Genre | : Mathematics |
ISBN | : 9780980232783 |
Download An Analysis of the Finite Element Method Book in PDF, ePub and Kindle
This second edition has two parts. The first part is the complete classic by Gilbert Strang and George Fix, first published in 1973. The original book demonstrates the solid mathematical foundation of the finite element idea, and the reasons for its success. The second part is a new textbook by Strang. It provides examples, codes, and exercises to connect the theory of the Finite Element Method directly to the applications. The reader will learn how to assemble the stiffness matrix K and solve the finite element equations KU=F. Discontinuous Galerkin methods with a numerical flux function are now included. Strang's approach is direct and focuses on learning finite elements by using them.
Author | : G.R. Liu |
Publisher | : CRC Press |
Total Pages | : 692 |
Release | : 2003 |
Genre | : Computers |
ISBN | : 9780849312380 |
Download Mesh Free Methods Book in PDF, ePub and Kindle
As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now, however, the limitations of FEM are becoming increasingly evident, and a new and more powerful class of techniques is emerging. For the first time in book form, Mesh Free Methods: Moving Beyond the Finite Element Method provides full, step-by-step details of techniques that can handle very effectively a variety of mechanics problems. The author systematically explores and establishes the theories, principles, and procedures that lead to mesh free methods. He shows that meshless methods not only accommodate complex problems in the mechanics of solids, structures, and fluids, but they do so with a significant reduction in pre-processing time. While they are not yet fully mature, mesh free methods promise to revolutionize engineering analysis. Filled with the new and unpublished results of the author's award-winning research team, this book is your key to unlocking the potential of these techniques, implementing them to solve real-world problems, and contributing to further advancements.
Author | : Michael John Baines |
Publisher | : Oxford University Press on Demand |
Total Pages | : 226 |
Release | : 1994 |
Genre | : Literary Criticism |
ISBN | : 9780198534679 |
Download Moving Finite Elements Book in PDF, ePub and Kindle
This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization ofthe residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method andthe established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.