An easy control of the artificial numerical viscosity to get discrete entropy inequalities when approximating hyperbolic systems of conservation laws - Archive ouverte HAL
Communication Dans Un Congrès Année : 2020

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.
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hal-04095073 , version 1 (11-05-2023)

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  • HAL Id : hal-04095073 , version 1

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Khaled Saleh, Arnaud Duran, Christophe Berthon. An easy control of the artificial numerical viscosity to get discrete entropy inequalities when approximating hyperbolic systems of conservation laws. International Conference “Mathematics and its Applications” in honor of the 90th birthday of Sergei K. Godunov 2019, Aug 2019, Novosibirsk, Russia. ⟨hal-04095073⟩
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