Presents the proper numerical treatment of shock waves and other discontinuities. This title covers various shock-fitting techniques and describes the historical path that lead to the theory of shock waves. It introduces key techniques using a simple scalar equation and then extends to a more complex system of equations.
"Presents the proper numerical treatment of shock waves and other discontinuities. This title covers various shock-fitting techniques and describes the historical path that lead to the theory of shock waves. It introduces key techniques using a simple scalar equation and then extends to a more complex system of equations."@en
""A Shock-Fitting Primer presents the proper numerical treatment of shock waves and other discontinuities. The book begins by recounting the events that lead to our understanding of the theory of shock waves and the early developments related to their computation. After presenting the main shock-fitting ideas in the context of a simple scalar equation, the author applies Colombeau's theory of generalized functions to the Euler equations to demonstrate how the theory recovers well-known results and to provide an in-depth understanding of the nature of jump conditions. He then extends the shock-fitting concepts previously discussed to the one-dimensional and quasi-one-dimensional Euler equations as well as two-dimensional flows. The final chapter explores existing and future developments in shock-fitting methods within the framework of unstructured grid methods."--Jacket."
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Équations aux dérivées partielles Solutions numériques.
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