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Generalized Riemann Problems in Computational Fluid Dynamics : Cambridge Monographs on Applied and Computational Mathematics - Matania Ben-Artzi

Generalized Riemann Problems in Computational Fluid Dynamics

Cambridge Monographs on Applied and Computational Mathematics


Published: 28th July 2011
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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 2003 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.

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

List of figures
Basic Theory
Scalar conservation laws
entropy conditions for scalar conservation laws
The GRP method for scalar conservation laws
convergence of the Godunov scheme
Systems of conservation laws
Riemann solver for a y-law gas
The generalized Riemann problem (GRP) for compressible fluid dynamics
the MUSCL scheme
Analytical and numerical treatment of fluid dynamical problems
Numerical Implementation
From the GRP algorithm to scientific computing
Geometric extensions
A physical extension: reacting flow
Wave interaction in a duct - a comparative study
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521173278
ISBN-10: 0521173272
Series: Cambridge Monographs on Applied and Computational Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 366
Published: 28th July 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 2.1
Weight (kg): 0.54