Convergence of two-dimensional staggered central schemes on unstructured triangular grids

Abstract

In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution obtained by the numerical base scheme presents, under an appropriate CFL condition, an optimal convergence to the unique entropy solution of the Cauchy problem. © 2015 IMACS. Published by Elsevier B.V. All rights reserved.