Adaptation and Assessment of a High Resolution Semi-Discrete Numerical Scheme for Hyperbolic Systems with Source Terms and Stiffness

摘要

In this work we outline the details required in adapting the third-order semi-discrete numerical scheme of Kurganov and Levy [SIAM J. Sci. Comput. 22 (2000) 1461-1488.] to handle hyperbolic systems which include source terms. The performance of the scheme is then assessed against a fully discrete scheme, as well as reference solutions, on such problems as shock propagation in a Broadwell gas and shocks in gas dynamics with heat transfer.