Generalized Riemann Problems in Computational Fluid Dynamics: 11 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 11) - Softcover

Ben-Artzi, Matania

Softcover

ISBN 10: 0521173272 ISBN 13: 9780521173278

Publisher: Cambridge University Press, 2012

Synopsis

Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering.

About this title

Product Description

Paperback. Pub Date: 07 2011 Pages: 366 Publisher: Camidge. University Press Encompasses the full range of computational science and engineering from modeling to solution both analytical and numerical. It Develops a framework for the equations and Numerical Methods of Applied Mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations. wide range of examples. and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algea and fast solvers. differential equations with finite differences and finite elements. Fourier analysis and optimization. This book also serves as a reference for the whole comm...

Review

Review of the hardback: '... a welcome addition to the literature.' Journal of Fluid Mechanics

Review of the hardback: '... book is well written, exhibits a nice balance between mathematics and fluid dynamics, and can serve as a reference work for GRP-based methods.' Zentralblatt fur Mathematik

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• ISBN 10: 0521173272
• ISBN 13: 9780521173278
• Binding: Paperback
• Language: English
• Number of pages: 366