Meshless Front Tracking with Acceleration Effect for Detonation Propagation in Multiple Explosives

We have shown previously that an acceleration effect is necessary in explaining the behavior of a concave detonation with detonation-shock-dynamics (DSD). The acceleration effect can also be used to derive the structure of the initiation-zone attached to explosive-interface as shown in the case of dual initiation. Because the propagation of a detonation between multiple explosives inevitably creates concave detonation front, we conclude that using a D_n-kappa relation in DSD is not adequate and acceleration effects must be included in the front evolution equation of a detonation. To the best of our knowledge, existing DSD implementations do not capture acceleration effects. To obtain reasonable solutions for detonation tracking of concave fronts, we implement acceleration effects in LLNL’s meshless detonation tracker, SDOT. Results using evolution equations calibrated for practical explosives show that the SDOT solutions closely match direct numerical simulations (DNS). Because front tracking is orders-of-magnitude faster than DNS, we expect significant efficiency gains using SDOT. This work will enables the design of complex multi-material charges.