A Godunov scheme for solving hyperbolic systems in a nonconservative form

I. Zalzali; H. Abbas

doi:doi:10.1051/jp4:2005124048

Numéro		J. Phys. IV France Volume 124, Mai 2005


Page(s)		327 - 334
DOI		https://doi.org/10.1051/jp4:2005124048

J. Phys. IV France 124 (2005) 327-334
DOI: 10.1051/jp4:2005124048

A Godunov scheme for solving hyperbolic systems in a nonconservative form

I. Zalzali and H. Abbas

Department of Mathematics, Lebanese University, Faculty of Sciences I, Hadath, Lebanon

Abstract
In this paper, we developed a Godunov scheme for solving nonconservative systems. The main idea of this method is a new type of projection which illustrated the essential role of the numerical viscosity to determine the solution with shocks for system in a nonconservative form. We apply our study to a system modeling elasticity and we observe a complete agreement between the theory and the numerical results.