Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes

Abstract

We introduce a class of second-order accurate finite volume schemes defined on two dimensional unstructured meshes. They satisfy a global discrete entropy stability for an arbitrary strictly convex entropy provided the second-order discretization verifies a dissipative inequality. These schemes do not require usual limitation techniques. Numerical experiments are performed to confirm the accuracy and the shock capturing efficiency of the schemes.