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
Convection Diffusion Problems
DOWNLOAD
Author : Martin Stynes
language : en
Publisher:
Release Date : 2018
Convection Diffusion Problems written by Martin Stynes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with MATHEMATICS 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 c.
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.
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.
Robust Numerical Methods For Singularly Perturbed Differential Equations
DOWNLOAD
Author : Hans-G. Roos
language : en
Publisher: Springer
Release Date : 2010-11-18
Robust Numerical Methods For Singularly Perturbed Differential Equations written by Hans-G. Roos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-18 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.
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.
Finite Difference Computing With Pdes
DOWNLOAD
Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-06-21
Finite Difference Computing With Pdes written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-21 with Computers categories.
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
Parallel Numerical Computation With Applications
DOWNLOAD
Author : Laurence Tianruo Yang
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-09-30
Parallel Numerical Computation With Applications written by Laurence Tianruo Yang 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 1999-09-30 with Computers categories.
Parallel Numerical Computations with Applications contains selected edited papers presented at the 1998 Frontiers of Parallel Numerical Computations and Applications Workshop, along with invited papers from leading researchers around the world. These papers cover a broad spectrum of topics on parallel numerical computation with applications; such as advanced parallel numerical and computational optimization methods, novel parallel computing techniques, numerical fluid mechanics, and other applications related to material sciences, signal and image processing, semiconductor technology, and electronic circuits and systems design. This state-of-the-art volume will be an up-to-date resource for researchers in the areas of parallel and distributed computing.
Physicochemical Hydrodynamics
DOWNLOAD
Author : Ronald F. Probstein
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-10-22
Physicochemical Hydrodynamics written by Ronald F. Probstein and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
Physicochemical Hydrodynamics: An Introduction aims to provide an introduction to physicochemical hydrodynamics (PCH), which deals with the interaction between fluid flow and physical, chemical, and biochemical processes. PCH has applications in many areas of science and technology and is a rapidly expanding field. Emphasis of this book is on rational theory and its consequences, with the purpose of showing the underlying unity of PCH, in which diverse phenomena can be described in physically and mathematically similar ways. The magic of this unity is shown in the similar manner in which solutes concentrate in a flow containing chemically reacting surfaces, reverse osmosis membranes, and electrodialysis membranes or the similarity of particle motions in sedimentation, centrifugation, ultrafiltration, and electrophoresis. Problems are included at the end of each chapter and are ordered following the sequence in which the material is set out. The questions range in difficulty, with most requiring an analytic development, but with some asking only for a descriptive answer. All problems are intended to illustrate the ideas presented, though often the solution goes beyond the explicit discussion in the book, with the answer constituting a generalization or extension of the text material. This book is an essential source of information for students majoring in the field of PCH.
Robust Computational Techniques For Boundary Layers
DOWNLOAD
Author : Paul Farrell
language : en
Publisher: CRC Press
Release Date : 2000-03-30
Robust Computational Techniques For Boundary Layers written by Paul Farrell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-30 with Science categories.
Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.