The purpose of this book is to present the basic elements of
numerical methods for compressible flows. It is appropriate for
advanced undergraduate and graduate students and specialists
working in high speed flows. The focus is on the unsteady
one-dimensional Euler equations which form the basis for numerical
algorithms in compressible fluid mechanics. The book is restricted
to the basic concepts of finite volume methods, and even in this
regard is not intended to be exhaustive in its treatment. Although
the practical applications of the one-dimensional Euler equations
are limited, virtually all numerical algorithms for inviscid
compressible flow in two and three dimensions owe their origin to
techniques developed in the context of the one-dimensional Euler
equations. The author believes it is therefore essential to
understand the development and implementation of these algorithms
in their original one-dimensional context. The text is supplemented
by numerous end-of-chapter exercises.
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