Spectral/hp Finite Element Models for Fluids and Structures
Author :
Publisher :
Page : 232 pages
File Size : 45,64 MB
Release : 2012
Category :
ISBN :
Spectral/hp Finite Element Models for Fluids and Structures
Author : Gregory Payette
Publisher :
Page : pages
File Size : 16,94 MB
Release : 2012
Category :
ISBN :
Book Description
We consider the application of high-order spectral/hp finite element technology to the numerical solution of boundary-value problems arising in the fields of fluid and solid mechanics. For many problems in these areas, high-order finite element procedures offer many theoretical and practical computational advantages over the low-order finite element technologies that have come to dominate much of the academic research and commercial software of the last several decades. Most notably, we may avoid various forms of locking which, without suitable stabilization, often plague low-order least-squares finite element models of incompressible viscous fluids as well as weak-form Galerkin finite element models of elastic and inelastic structures. The research documented in this dissertation includes applications of spectral/hp finite element technology to an analysis of the roles played by the linearization and minimization operators in least-squares finite element models of nonlinear boundary value problems, a novel least-squares finite element model of the incompressible Navier-Stokes equations with improved local mass conservation, weak-form Galerkin finite element models of viscoelastic beams and a high-order seven parameter continuum shell element for the numerical simulation of the fully geometrically nonlinear mechanical response of isotropic, laminated composite and functionally graded elastic shell structures. In addition, we also present a simple and efficient sparse global finite element coefficient matrix assembly operator that may be readily parallelized for use on shared memory systems. We demonstrate, through the numerical simulation of carefully chosen benchmark problems, that the finite element formulations proposed in this study are efficient, reliable and insensitive to all forms of numerical locking and element geometric distortions.
Higher-Order Spectral/HP Finite Element Technology for Structures and Fluid Flows
Author : Venkat Pradeep Vallala
Publisher :
Page : pages
File Size : 10,16 MB
Release : 2013
Category :
ISBN :
Book Description
This study deals with the use of high-order spectral/hp approximation functions in the finite element models of various nonlinear boundary-value and initial-value problems arising in the fields of structural mechanics and flows of viscous incompressible fluids. For many of these classes of problems, the high-order (typically, polynomial order p greater than or equal to 4) spectral/hp finite element technology offers many computational advantages over traditional low-order (i.e., p
Spectral/hp Element Methods for Computational Fluid Dynamics
Author : George Karniadakis
Publisher : American Chemical Society
Page : 676 pages
File Size : 11,92 MB
Release : 2013-01-10
Category : Mathematics
ISBN : 0199671362
Book Description
Revision of: Spectral/hp element methods for CFD. 1999.
An Introduction to Nonlinear Finite Element Analysis
Author : Junuthula Narasimha Reddy
Publisher :
Page : 721 pages
File Size : 48,42 MB
Release : 2015
Category : Finite element method
ISBN : 0199641757
Book Description
The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the progr
Spectral/hp Element Methods for CFD
Author : George Karniadakis
Publisher : Oxford University Press, USA
Page : 406 pages
File Size : 42,75 MB
Release : 1999
Category : Finite element method
ISBN : 0195102266
Book Description
This book is an essential reference for anyone interested in the use of spectral/hp element methods in fluid dynamics. It provides a comprehensive introduction to the field together with detailed examples of the methods to the incompressible and compressible Navier-Stokes equations.
Spectral Finite Element Method
Author : Srinivasan Gopalakrishnan
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 30,44 MB
Release : 2007-12-05
Category : Technology & Engineering
ISBN : 1846283566
Book Description
This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic tools for monitoring the health of a structure. Tables, figures and graphs support the theory and case studies are included.
Aerospace Structures and Materials
Author : Yucheng Liu
Publisher : Bentham Science Publishers
Page : 592 pages
File Size : 47,81 MB
Release : 2016-10-07
Category : Technology & Engineering
ISBN : 1681083051
Book Description
This comprehensive volume presents a wide spectrum of information about the design, analysis and manufacturing of aerospace structures and materials. Readers will find an interesting compilation of reviews covering several topics such as structural dynamics and impact simulation, acoustic and vibration testing and analysis, fatigue analysis and life optimization, reversing design methodology, non-destructive evaluation, remotely piloted helicopters, surface enhancement of aerospace alloys, manufacturing of metal matrix composites, applications of carbon nanotubes in aircraft material design, carbon fiber reinforcements, variable stiffness composites, aircraft material selection, and much more. This volume is a key reference for graduates undertaking advanced courses in materials science and aeronautical engineering as well as researchers and professional engineers seeking to increase their understanding of aircraft material selection and design.
Triangular and Tetrahedral Spectral/h-p Finite Element Methods for Fluid Dynamics
Author : Spencer J. Sherwin
Publisher :
Page : 338 pages
File Size : 26,40 MB
Release : 1995
Category :
ISBN :
Book Description
The Finite Element Method for Fluid Dynamics
Author : O. C. Zienkiewicz
Publisher : Butterworth Heinemann
Page : 544 pages
File Size : 38,6 MB
Release : 2013-11-12
Category : Mathematics
ISBN : 9781856176354
Book Description
The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation.
