Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

This is an excellent book on finite volume type methods for compressible fluid flow. Godunov's method is explained in detail. Theory of higher order methods is also covered. Many plots provided which compare different methods. FORTRAN 77 source code provided for some methods for scalar equations and for the exact ideal gas Riemann solver. However, the book focuses almost entirely on ideal gas law fluids. Advanced topics such as real gasses and multi-fluid flow are not covered. The book is expensive but still worth buying.