The random projection method for sti detonationwavesWeizhu

In this paper we present a simple and robust random projection method for underresolved numerical simulation of stii detonation waves in chemically reacting ows. This method is based on the random projection method proposed by the authors for general hyperbolic systems with stii reaction terms 1], where the ignition temperature is randomized in a suitable domain. It is simpliied using the equations of instantaneous reaction, and then extended to handle the interactions of detonations. Extensive numerical experiments, including interaction of detonation waves, and in two dimensions, demonstrate the reliability and robustness of this novel method.