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

This textbook gives a comprehensive and practical treatment of all existing Riemann solvers for compressible fluid dynamics and their use in the upwind method of Godunov and its high-order extensions; related centered TVD methods are also presented. Practical numerical results are presented for most of the methods described in the book, and plenty of information is given for further developments and practical applications. The book is most suitable for post-graduate students in Applied Mathematics, Engineering, Physics and other scientific disciplines such as Meteorology, Oceanography, Chemistry, etc. It can be used as a means of self-study or as a teaching aid for postgraduate or final year undergraduate courses on numerical methods for fluid dynamics.