Manuel D. Salas's A Shock-Fitting Primer (Chapman & Hall/CRC Applied PDF

By Manuel D. Salas

ISBN-10: 1138116637

ISBN-13: 9781138116634

ISBN-10: 1439807582

ISBN-13: 9781439807583

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 concepts give you the such a lot actual effects. A Shock-Fitting Primer provides the right kind numerical therapy of concern waves and different discontinuities. The e-book starts off through recounting the occasions that bring about our knowing of the speculation of concern waves and the early advancements relating to their computation. After offering the most shock-fitting principles within the context of an easy scalar equation, the writer applies Colombeau’s concept of generalized services to the Euler equations to illustrate how the idea recovers famous effects and to supply an in-depth knowing of the character of leap 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 latest and destiny advancements in shock-fitting equipment in the framework of unstructured grid tools. in the course of the textual content, the concepts built are illustrated with a number of examples of various complexity. at the accompanying CD-ROM, MATLAB ® codes function concrete examples of the way to enforce the tips 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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