Application of the Kurganov-Levy semi-discrete numerical scheme to hyperbolic problems with nonlinear source terms

In this paper are outlined the details required in adapting the third-order semi-discrete numerical scheme of Kurganov and Levy [SIAM J. Sci. Comput. 22 (2000) 1461] to handle hyperbolic systems which include source terms. The performance of the scheme is then assessed against a fully discrete scheme, as well as against reference solutions on problems such as shock propagation in a Broadwell gas and shocks in an Eulerian gas with heat transfer. © 2003 Elsevier B.V. All rights reserved.