A Shock-Fitting Primer (Chapman & Hall/CRC Applied - download pdf or read online

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 equipment are effortless to enforce, shock-fitting strategies give you the such a lot actual effects. A Shock-Fitting Primer offers the right kind numerical therapy of concern waves and different discontinuities. The booklet starts by way of recounting the occasions that bring about our knowing of the speculation of concern waves and the early advancements regarding their computation. After featuring the most shock-fitting rules within the context of an easy scalar equation, the writer applies Colombeau’s thought of generalized services to the Euler equations to illustrate how the speculation recovers famous effects and to supply an in-depth figuring out of the character of bounce stipulations. He then extends the shock-fitting strategies formerly mentioned to the one-dimensional and quasi-one-dimensional Euler equations in addition to two-dimensional flows. the ultimate bankruptcy explores current and destiny advancements in shock-fitting equipment in the framework of unstructured grid equipment. through the textual content, the innovations built are illustrated with a number of examples of various complexity. at the accompanying CD-ROM, MATLAB ® codes function concrete examples of ways 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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