A Shock-Fitting Primer presents the proper numerical treatment of shock waves and other discontinuities. It comprehensively covers various shock-fitting techniques and describes the historical path that has led to the accepted theory of shock waves. The author introduces key techniques using a simple scalar equation and then ext

A defining feature of nonlinear hyperbolic equations is the occurrence of shock waves. Most computational fluid dynamics for this class of problems centers on how to effectively deal with shocks using shock capturing techniques. An alternative approach is the shock-fitting method, which treats shock waves as well as other singularities as discontinuous surfaces satisfying Rankine-Hugoniot jump conditions. This book provides a self-contained treatment of shock-fitting methods. It covers shock detection, shocks as boundaries, and shocks imbedded in the flow. Numerous examples illustrate the techniques using MATLAB and a companion CD-ROM provides all of the codes.