A defining characteristic of nonlinear hyperbolic equations is the prevalence of outrage waves. whereas the preferred shock-capturing tools are effortless to enforce, shock-fitting suggestions give you the so much exact effects. A Shock-Fitting Primer provides the right kind numerical remedy of concern waves and different discontinuities. The ebook starts off via recounting the occasions that result in our figuring out of the idea of outrage waves and the early advancements relating to their computation. After offering the most shock-fitting rules within the context of an easy scalar equation, the writer applies Colombeau’s thought of generalized capabilities to the Euler equations to illustrate how the idea recovers famous effects and to supply an in-depth knowing of the character of bounce stipulations. He then extends the shock-fitting options formerly mentioned to the one-dimensional and quasi-one-dimensional Euler equations in addition to two-dimensional flows. the ultimate bankruptcy explores present and destiny advancements in shock-fitting equipment in the framework of unstructured grid tools. during the textual content, the ideas constructed are illustrated with various examples of various complexity. at the accompanying CD-ROM, MATLAB ® codes function concrete examples of ways to enforce the information mentioned within the book.