Global entropy stability for a class of unlimited high-order schemes for hyperbolic systems of conservation laws - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Global entropy stability for a class of unlimited high-order schemes for hyperbolic systems of conservation laws

Résumé

We design high-order schemes to approximate the weak solutions of hyperbolic systems of conservation laws. These schemes are based on high order correction of the standard HLL flux. They are proved to satisfy a global entropy stability property under an appropriate CFL condition. These schemes do not involve limitation techniques and thus relevantly preserve the order of accuracy. Numerical experiments illustrate the accuracy and the stability of the proposed schemes.
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Dates et versions

hal-03206727 , version 1 (23-04-2021)

Identifiants

  • HAL Id : hal-03206727 , version 1

Citer

Ludovic Martaud, Mehdi Badsi, Christophe Berthon, Arnaud Duran, Khaled Saleh. Global entropy stability for a class of unlimited high-order schemes for hyperbolic systems of conservation laws. 2021. ⟨hal-03206727⟩
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