An easy control of the artificial numerical viscosity to get discrete entropy inequalities when approximating hyperbolic systems of conservation laws
Résumé
When considering the numerical approximation of weak solutions of systems of conservation laws, the derivation of discrete entropy inequalities are, in general, very difficult to obtain. In the present work, we present a suitable control of the numerical artificial viscosity in order to recover the expected discrete entropy inequalities. Moreover, the artificial viscosity control turns out to be very easy and the resulting numerical implementation is very convenient.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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