J. Phys. IV France
Volume 124, Mai 2005
Page(s) 327 - 334

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

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.

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