The last decade has seen a dramatic increase of our abilities to solve
numerically the governing equations of fluid mechanics. In design
aerodynamics the classical potential-flow methods have been complemented
by higher modelling-level methods. Euler solvers, and for special
purposes, already Navier-Stokes solvers are in use. The authors of this
book have been working on the solution of the Euler equations for quite
some time. While the first two of us have worked mainly on algorithmic
problems, the third has been concerned off and on with modelling and
application problems of Euler methods. When we started to write this
book we decided to put our own work at the center of it. This was done
because we thought, and we leave this to the reader to decide, that our
work has attained over the years enough substance in order to justify a
book. The problem which we soon faced, was that the field still is
moving at a fast pace, for instance because hyper- sonic computation
problems became more and more important.