Numerical Solution Of Convection-Diffusion Problems: 12 (Applied Mathematics) - Hardcover

Morton, K.W.

Hardcover

ISBN 10: 0412564408 ISBN 13: 9780412564406

Publisher: Chapman and Hall/CRC, 1996

Synopsis

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.

About this title

Synopsis

This book provides a comprehensive treatment of the numerical solution of correction diffusion problems. These problems are important in areas such as computational fluid dynamics and are solved by advanced numerical analysis. The book should be of great interest to applied mathematicians and engineers involved in numerical solutions. This book should be of interest to applied mathematicians; numerical analysts working in engineering; industrial researchers; and heat transfer engineers.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1996
• Language: English
• ISBN 10: 0412564408
• ISBN 13: 9780412564406
• Binding: Hardcover
• Edition number: 1
• Number of pages: 384