Author: Pavel B. BochevPublisher:
ISBN:
Category : Least squares
Languages : en
Pages : 26
Book Description
Accuracy of Least-squares Methods for the Navier-Stokes Equations
Author: Pavel B. BochevPublisher:
ISBN:
Category : Least squares
Languages : en
Pages : 26
Book Description
Accuracy of Least-Squares Methods for the Navier-Stokes Equations
Author: National Aeronautics and Space Administration (NASA)Publisher: Createspace Independent Publishing Platform
ISBN: 9781722042868
Category :
Languages : en
Pages : 24
Book Description
Recently there has been substantial interest in least-squares finite element methods for velocity-vorticity-pressure formulations of the incompressible Navier-Stokes equations. The main cause for this interest is the fact that algorithms for the resulting discrete equations can be devised which require the solution of only symmetric, positive definite systems of algebraic equations. On the other hand, it is well-documented that methods using the vorticity as a primary variable often yield very poor approximations. Thus, here we study the accuracy of these methods through a series of computational experiments, and also comment on theoretical error estimates. It is found, despite the failure of standard methods for deriving error estimates, that computational evidence suggests that these methods are, at the least, nearly optimally accurate. Thus, in addition to the desirable matrix properties yielded by least-squares methods, one also obtains accurate approximations. Bochev, Pavel B. and Gunzburger, Max D. Glenn Research Center NCC3-233; RTOP 505-90-5K...
Least-Squares Finite Element Methods
Author: Pavel B. BochevPublisher: Springer Science & Business Media
ISBN: 0387689222
Category : Mathematics
Languages : en
Pages : 669
Book Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
NASA Technical Memorandum
Author: Scientific and Technical Aerospace Reports
Author: Seventh Copper Mountain Conference on Multigrid Methods
Author: Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Author: Roland GlowinskiPublisher: SIAM
ISBN: 1611973775
Category : Mathematics
Languages : en
Pages : 473
Book Description
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Advanced Computational Methods in Science and Engineering
Author: Barry KorenPublisher: Springer Science & Business Media
ISBN: 3642033873
Category : Mathematics
Languages : en
Pages : 501
Book Description
The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.
Parallel Computational Fluid Dynamics '98
Author: Chiao-ling LinPublisher: Elsevier
ISBN: 0080538398
Category : Mathematics
Languages : en
Pages : 549
Book Description
This book contains the papers presented at the Parallel Computational Fluid Dynamics 1998 Conference. The book is focused on new developments and applications of parallel technology. Key topics are introduced through contributed papers and invited lectures. These include typical algorithmic developments, such as: distributed computing, domain decomposition and parallel algorithm. Some of the papers address the evaluations of software and machine performance and software tool environments. The application of parallel computers to complex fluid dynamics problems are also conveyed through sessions such as DNS/LES, combustion and reacting flows, industrial applications, water resources and environmental flows.The editors believe this book will provide many researchers, much beyond those contributing to this volume, with fresh information and reference.
Moving Particle Semi-implicit Method
Author: Seiichi KoshizukaPublisher: Academic Press
ISBN: 0128128372
Category : Science
Languages : en
Pages : 307
Book Description
Moving Particle Semi-implicit Method: A Meshfree Particle Method for Fluid Dynamics begins by familiarizing the reader with basic theory that supports their journey through sections on advanced MPH methods. The unique insights that this method provides include fluid-structure interaction, non-Newtonian flow, and cavitation, making it relevant to a wide range of applications in the mechanical, structural, and nuclear industries, and in bioengineering. Co-authored by the originator of the MPS method, this book is the most authoritative guide available. It will be of great value to students, academics and researchers in industry. - Presents the differences between MPH and SPH, helping readers choose between methods for different purposes - Provides pieces of computer code that readers can use in their own simulations - Includes the full, extended algorithms - Explores the use of MPS in a range of industries and applications, including practical advice