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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