Accurate and Efficient Numerical Simulation of Localized Heating Due to Dynamic Compaction of Granular HMX Having Non-Uniform Initial Porosity
Abstract
Experiments on the DDT of granular energetic materials indicate that prompt detonation often results due to the interaction of two compaction waves propagating in the same direction with different speeds through regions of different porosity. This result suggests that locally high temperatures are produced at the point of interaction where large and sudden changes in porosity occur. We address the related problem of 1-D, piston-supported compaction waves propagating through granular HMX having spatially non-uniform ambient porosity, and analyze the localized heating characteristics of the HMX. To this end, we numerically solve a thermodynamically consistent continuum mixture model for a granular solid using both an accurate and efficient algorithm. The model tracks compaction-induced dissipated energy and the evolution of grain surface temperature based on the localization of this energy. The numerical method is based on a high-resolution ENO methodology, and is nominally third-order accurate in space and fourth-order accurate in time. Modern parallel processing techniques are utilized, and the computational efficiency of the algorithm is quantified.
- Publication:
-
APS Shock Compression of Condensed Matter Meeting Abstracts
- Pub Date:
- June 1999
- Bibcode:
- 1999APS..SHK..M431G