GLOBAL ENTROPY STABILITY FOR A CLASS OF UNLIMITED HIGH-ORDER SCHEMES FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

Ludovic Martaud (1) , Mehdi Badsi (1) , Christophe Berthon (1) , Arnaud Duran (2) , Khaled Saleh (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 ICJ - Institut Camille Jordan

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.

Mots clés: Systems of conservation laws; High-order finite Volume schemes; Global entropy stability

Domaines: Mathématiques [math]

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⟩