Optimization of Flow and Reaction Models for Capturing Gas-Phase Cellular Detonation Properties

In the current study, a new optimization procedure is developed for tuning flow parameters and single-step reaction models to capture detonation properties. The suggested optimization framework is based on a Covariance Matrix Adaptation Evolution Strategy (CMA-ES) and a set of non-linear algebraic equations that represent basic detonation properties. First, it is demonstrated that the framework allows tuning single-step reaction models according to any detailed chemical reaction mechanism. This is achieved by mimicking the resulting Zel’dovich-NeumannDöring (ZND) temperature profile. Then, we address the case where model optimization according to experimental cell size measurements is desired. Accordingly, we develop a simplified blast wave model that can predict the cell length of single-step reaction multidimensional detonation simulations. In the future, this blast wave model will be coupled with the optimization framework. Thus, allowing fast calibration of simplified reaction and flow parameters that can replicate cellular gas-phase detonations, in any given mixture, based on experimental results.