22–24 May 2024
INRIA
Europe/Paris timezone

Christophe Berthon - Artificial numerical viscosity to get discrete entropy inequalities

22 May 2024, 14:45
45m
Aurigny (INRIA)

Aurigny

INRIA

Campus de Beaulieu, 263 Av. Général Leclerc, 35042 Rennes

Description

When considering the numerical approximation of weak solutions of systems of conservation laws, the satisfaction of discrete entropy inequalities is, in general, very difficult to be obtained. In the present talk, we present a suitable control of the artificial numerical viscosity in order to recover the expected discrete entropy inequalities. Moreover, the artificial viscosity control turns out to be very easy and it can be applied to any first-order finite volume scheme in a very convenient way.

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