By Manuel D. Salas

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 ideas give you the so much exact effects. A Shock-Fitting Primer offers the correct numerical therapy of concern waves and different discontinuities. The e-book starts off by means of recounting the occasions that result in our knowing of the idea of concern waves and the early advancements relating to their computation. After featuring the most shock-fitting principles within the context of an easy scalar equation, the writer applies Colombeau’s concept of generalized features to the Euler equations to illustrate how the speculation recovers recognized effects and to supply an in-depth realizing of the character of bounce stipulations. He then extends the shock-fitting thoughts 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. in the course of 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 the way to enforce the information mentioned within the book.

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A Shock-Fitting Primer (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) by Manuel D. Salas

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