Calibrating the chemical-diffusive model using the detonation cell data

Abstract

This paper presents an alternative approach to calibrate the chemical-diffusive model (CDM) for numerical simulations of detonations and deflagration-to-detonation transitions (DDTs). CDM is a chemical model for compressible reactive fluid flows, in which model parameters are calibrated to reproduce key properties of a one-dimensional standard laminar flame and the Zel'dovich-Neumann-D\"oring (ZND) detonation. Multidimensional parameters, in particular, the detonation cell size, are not explicitly constrained in the current model. This work presents multidimensional numerical simulations of unstable detonations for hydrogen-air mixtures using the CDM. It is shown that the calibrated model using all zero- or one-dimensional properties cannot ensure correct detonation cellular structure. Instead, we introduce a new approach that exploits a well known cell-size correlation and is able to directly optimize the model parameters using specified experimental data.