The primary goal of numerical simulation of compressible, inviscid time-dependent flow is to represent the time evolution of complex flow patterns. Developed by Matania Ben-Artzi and Joseph Falcovitz, the Generalized Riemann Problem (GRP) algorithm comprises some of the most commonly used numerical schemes of this process. This monograph presents the GRP methodology ranging from underlying mathematical principles through basic scheme analysis and scheme extensions. The book is intended for researchers and graduate students of applied mathematics, science and engineering.
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The primary goal of numerical simulation of compressible, inviscid time-dependent flow is to represent the time evolution of complex flow patterns. The Generalized Riemann Problem (GRP) algorithm, developed by the authors, comprises some of the most commonly used numerical schemes of this process. This monograph presents the GRP methodology starting with the underlying mathematical principles through basic scheme analysis and scheme extensions. Examples illustrate the range of the algorithm's applications. Background material makes 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
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