This book leads directly to the most modern numerical techniques for
compressible fluid flow, with special consideration given to
astrophysical applications. Emphasis is put on high-resolution
shock-capturing finite-volume schemes based on Riemann solvers. The
applications of such schemes, in particular the PPM method, are given
and include large-scale simulations of supernova explosions by core
collapse and thermonuclear burning and astrophysical jets. Parts two and
three treat radiation hydrodynamics. The power of adaptive (moving)
grids is demonstrated with a number of stellar-physical simulations
showing very crispy shock-front structures.