Validation of detonation stability theory through direct simulation

Brian Taylor, University of Illinois at Urbana-Champaign

Direct simulations of a simple model for detonation using a fully fifth-order numerical scheme are presented and compared with the predictions of linear stability analysis by normal modes. The formulation and numerical solution of the two related problems are discussed, with special emphasis on the advantages of the simulation method for the results presented here. The direct simulations are computed in the frame of reference attached to the lead shock, which drastically reduces startup errors and allows accurate measurement of the transition to instability. Comparisons with linear stability analysis by normal modes are provided, including growth rates, frequencies, and stability boundaries.

Abstract Author(s): B. Taylor and D. S. Stewart