The shock-triggered statistical hot spot model

Abstract

The standard statistical hot spot model (SHSM) assumes that all hot-spot-triggered burn waves initiate simultaneously within homogenized volume elements. In reality the shock passes through such elements, lighting burn waves in a phased manner. Simple simulations are employed to illustrate the resulting shock-triggered heterogeneous reaction topology. These show that the conventional continuum prescription may not be satisfied. An alternative strategy yields a robust continuum description, and enables an extended analytic SHSM that reduces to the standard model as the burn-front to shock-speed ratio, β, approaches zero. © 2012 American Institute of Physics.