Revival Numerical Solution Of Convection Diffusion Problems 1996
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Revival Numerical Solution Of Convection Diffusion Problems 1996
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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.
Numerical Solution Of Convection Diffusion Problems
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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.
Meteorological And Geoastrophysical Abstracts
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Author :
language : en
Publisher:
Release Date : 1997
Meteorological And Geoastrophysical Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Astrophysics categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1989
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mechanics, Applied categories.
International Aerospace Abstracts
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Author :
language : en
Publisher:
Release Date : 1996
International Aerospace Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Aeronautics categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1999
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Convection Diffusion Problems
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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.
On The Numerical Solution Of Convection Dominated Convection Diffusion Problems
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Author : Owe Axelsson
language : en
Publisher:
Release Date : 1983
On The Numerical Solution Of Convection Dominated Convection Diffusion Problems written by Owe Axelsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Numerical Methods For The Accurate Solution Of Singularly Perturbed Convection Diffusion Problems
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Author : Neil Madden
language : en
Publisher:
Release Date : 1996
Numerical Methods For The Accurate Solution Of Singularly Perturbed Convection Diffusion Problems written by Neil Madden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Uniformly Convergent Approximations For Convection Diffusion Problems
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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.