Finite Elements for Solids, Fluids, and Optimization PDF Download

Author: G. A. Mohr
Publisher: Oxford University Press, USA
ISBN:
Category : Law
Languages : en
Pages : 632

View

Book Description
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.

Author: Thomas Richter
Publisher: Springer
ISBN: 3319639706
Category : Mathematics
Languages : en
Pages : 452

View

Book Description
This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.

Author: Kajal K. Gupta
Publisher: AIAA
ISBN: 9781600860539
Category : Finite element method
Languages : en
Pages : 458

View

Book Description
Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.

Author: Joe Iannelli
Publisher: Springer Science & Business Media
ISBN: 3540453431
Category : Science
Languages : en
Pages : 744

View

Book Description
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.

Author: Y. M. Desai
Publisher: Pearson Education India
ISBN: 9788131724644
Category : Electronic books
Languages : en
Pages : 492

View

Book Description
The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches.

Author: Dmitri Kuzmin
Publisher: SIAM
ISBN: 1611973600
Category : Science
Languages : en
Pages : 321

View

Book Description
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.?

Author: K.J Bathe
Publisher: Elsevier
ISBN: 008052947X
Category : Technology & Engineering
Languages : en
Pages : 2485

View

Book Description
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Author: Geoff A. Mohr, PhD
Publisher: Xlibris Corporation
ISBN: 1499031041
Category : Business & Economics
Languages : en
Pages : 289

View

Book Description
The book delves into a unique mix of the following areas: 1. The psychology of learning, memory, and thinking 2. Tools for critical thinking and assessment 3. Collective thinking of groups, corporations, and the public 4. Measurement of attitudes and market research 5. Mathematical logic and computer programming 6. Planning and scheduling techniques 7. Optimization techniques (both linear and non-linear) 8. World's first finite element method (FEM) models of distribution, inventory, and traffic flow systems and optimization of them 9. Mohr's flow ratio design (FRD) optimization technique 10. Econometric modeling techniques (some of them new) The book is the most modern, technically resourced, and innovative study of thinking to date and will prove useful to a wide range of people, including managers, planners, engineers, scientists, teachers, psychologists, and politicians.

Author: Dominique Chapelle
Publisher: Springer Science & Business Media
ISBN: 3662052296
Category : Science
Languages : en
Pages : 337

View

Book Description
The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.

Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080531679
Category : Technology & Engineering
Languages : en
Pages : 1863

View

Book Description
The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference