Convection Diffusion Problems
DOWNLOAD
Download Convection Diffusion Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Convection Diffusion Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Revival Numerical Solution Of Convection Diffusion Problems 1996
DOWNLOAD
Author : K.W. Morton
language : en
Publisher: CRC Press
Release Date : 2019-02-25
Revival Numerical Solution Of Convection Diffusion Problems 1996 written by K.W. Morton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.
Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods. The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics.
Convection Diffusion Problems An Introduction To Their Analysis And Numerical Solution
DOWNLOAD
Author : Martin Stynes
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-11-21
Convection Diffusion Problems An Introduction To Their Analysis And Numerical Solution written by Martin Stynes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-21 with Differential equations categories.
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.
Numerical Solution Of Convection Diffusion Problems
DOWNLOAD
Author : K.W. Morton
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1996-05-15
Numerical Solution Of Convection Diffusion Problems written by K.W. Morton and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods. The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics. This book will be accessible and helpful to engineers, scientists, mathematicians, and to those engaged in solving real practical problems as well as those interested in developing further the theoretical basis for the methods used.
Layer Adapted Meshes For Reaction Convection Diffusion Problems
DOWNLOAD
Author : Torsten Linß
language : en
Publisher: Springer
Release Date : 2009-11-21
Layer Adapted Meshes For Reaction Convection Diffusion Problems written by Torsten Linß and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-21 with Mathematics categories.
This is a book on numerical methods for singular perturbation problems – in part- ular, stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely, it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. Numerical methods for singularly perturbed differential equations have been studied since the early 1970s and the research frontier has been constantly - panding since. A comprehensive exposition of the state of the art in the analysis of numerical methods for singular perturbation problems is [141] which was p- lished in 2008. As that monograph covers a big variety of numerical methods, it only contains a rather short introduction to layer-adapted meshes, while the present book is exclusively dedicated to that subject. An early important contribution towards the optimisation of numerical methods by means of special meshes was made by N.S. Bakhvalov [18] in 1969. His paper spawned a lively discussion in the literature with a number of further meshes - ing proposed and applied to various singular perturbation problems. However, in the mid 1980s, this development stalled, but was enlivened again by G.I. Shishkin’s proposal of piecewise-equidistant meshes in the early 1990s [121,150]. Because of their very simple structure, they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on c- peting meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue.
Numerical Methods For Singularly Perturbed Differential Equations
DOWNLOAD
Author : Hans-Görg Roos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Numerical Methods For Singularly Perturbed Differential Equations written by Hans-Görg Roos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.
Time Integration Of Convection Diffusion Problems
DOWNLOAD
Author : Nils-Erik Wiberg
language : en
Publisher:
Release Date : 1988
Time Integration Of Convection Diffusion Problems written by Nils-Erik Wiberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Uniformly Convergent Approximations For Convection Diffusion Problems
DOWNLOAD
Author : Özgür BINGÖL
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2010-05
Uniformly Convergent Approximations For Convection Diffusion Problems written by Özgür BINGÖL and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05 with categories.
Mathematical models that involve a combination of convective and diffusive processes are among the most widespread in all of science, engineering and other fields where mathematical modelling is important.Water quality problems, convective heat transfer problems, simulation of the semiconductor devices can be given as an example of these models. Also, the Linearization of the Navier-Stokes equation and drift-diffusion equation of semiconductor device modelling are important instances. The dimensionless parameter that measures the relative strenght of diffusion is generally quite small; so one often meets with situations where thin boundary and interior layers are present and singular perturbation problems arise. In this case, the main difficulty is to obtain a numerical solution which converges -Uniformly to the exact solution of the problem. In this work, the numerical approximations of the convection diffusion problem both on a uniform and non-uniform meshes are investigated. Also, it is shown that these numerical approximations have -Uniform convergency. This book will be useful for ones who research on this subject area.
Robust Numerical Methods For Singularly Perturbed Differential Equations
DOWNLOAD
Author : Hans-Görg Roos
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-17
Robust Numerical Methods For Singularly Perturbed Differential Equations written by Hans-Görg Roos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-17 with Mathematics categories.
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
Elementary Feedback Stabilization Of The Linear Reaction Convection Diffusion Equation And The Wave Equation
DOWNLOAD
Author : Weijiu Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-01
Elementary Feedback Stabilization Of The Linear Reaction Convection Diffusion Equation And The Wave Equation written by Weijiu Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with Mathematics categories.
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Moving Space Time Finite Element Methods For Convection Diffusion Problems
DOWNLOAD
Author : Rafael Brigham Neves Ferreira Santos
language : en
Publisher:
Release Date : 1991
Moving Space Time Finite Element Methods For Convection Diffusion Problems written by Rafael Brigham Neves Ferreira Santos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.