Second-order MUSCL schemes based on dual mesh gradient reconstruction (DMGR) (Q2877391)

New monotone upwind schemes for conservation laws (MUSCL) reconstructions to approximate the solutions of hyperbolic systems of conservations laws on 2D unstructured meshes are discussed. The paper is organized as follows. The first section is an introduction. In Section 2, the main notations are introduced and the derivation of second-order MUSCL schemes for 2D unstructured is recalled. Next, the authors focus on robustness of the method and new Courant-Friedrichs-Lewy (CFL) conditions which are less restrictive than usual. Section 3 deals with the derivation of the dual mesh gradient reconstruction. Section 4 is devoted to the numerical experiments. Finally, the paper is concluded in Section 5 with some comments and perspectives.