Detonation front theories: Using high-resolution DNS to define extended asymptotic scalings and models

摘要

When the detonation reaction-zone length, (eta)(sub r), is short in comparison to the dimensions of the explosive piece being burnt, the detonation can be viewed as a propagating surface (or front) separating burnt from unburnt material. If the product of the shock curvature, (kappa) and (eta)(sub r) is small (i.e., the scaled shock curvature satisfies the (vert-bar)(kappa)(eta) (sub r)(vert-bar) (much-lt) 1), then to leading order the speed of this surface, D(sub n)((kappa)) is a function only of (kappa). It is in this limit that the original version of the asymptotic detonation front theory, called detonation shock dynamics (DSD), derives the propagation law, D(sub n)((kappa)). In this lecture, the authors compare D(sub n)((kappa))-theory with the results obtained with high-resolution direct numerical simulations (DNS), and then use the DNS results to guide the development of extended asymptotic front theories with enhanced predictive capabilities.