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  3. Generalized Riemann Problems in Computational Fluid Dynamics
  • Cited by 66
Publisher:
Cambridge University Press
Online publication date:
August 2009
Print publication year:
2003
Online ISBN:
9780511546785
DOI:
https://doi.org/10.1017/CBO9780511546785
Subjects:
Mathematics, Computational Science, Fluid Dynamics and Solid Mechanics, Numerical Analysis and Computational Science
Series:
Cambridge Monographs on Applied and Computational Mathematics (11)
Information

Book description

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.

Reviews

Review of the hardback:‘… a welcome addition to the literature.’

Source: 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.’

Source: Zentralblatt fur Mathematik

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