General Physics

Read e-book online 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 concern 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 publication starts through recounting the occasions that bring about our knowing of the speculation 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 conception of generalized services to the Euler equations to illustrate how the idea recovers recognized effects and to supply an in-depth knowing of the character of bounce stipulations. He then extends the shock-fitting ideas 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 tools in the framework of unstructured grid equipment. through the textual content, the strategies constructed are illustrated with quite a few 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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