Generalized Riemann problems in computational fluid dynamics:

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 General...

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Bibliographische Detailangaben
Beteilige Person: Ben-Artzi, Matania 1948-
Weitere beteiligte Personen: Falcovitz, Joseph 1937-
Format: E-Book
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 2003
Schriftenreihe:Cambridge monographs on applied and computational mathematics 11
Links:https://doi.org/10.1017/CBO9780511546785
Zusammenfassung: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.
Umfang:1 Online-Ressource (xvi, 349 Seiten)
ISBN:9780511546785