Euler–Lagrange simulation of high pressure shock waves

• We couple Eulerian and Lagrangian FEM to model high pressure generating processes.
• We apply the multi-material Eulerian technique to model air-blast and to predict shock wave propagation.
• We model the overdriven detonation using the penalty method.
• The Euler–Lagrange coupling is shown to manage shock–structure interaction problems.

This paper presents the numerical simulation of overdriven detonation (or O.D.D.) that occurs when a high velocity object impacts an explosive. The pressure and the velocity at this state are higher than those of the Chapman–Jouguet (C–J) state. First, before the simulation of this event, a study of PBX air blast by using multi-material Eulerian method is presented. Pressure peaks are computed for several distances from the explosive. Second, the O.D.D. phenomenon is modeled by the Euler–Lagrange penalty coupling, which permits to couple a Lagrangian mesh of the flyer plate to multi-material Eulerian mesh of explosives and air. This coupling gives us the high detonation velocities in the acceptor explosive and demonstrates that it is able to handle shock–structure interaction problems.