Recent Advances in Numerical Modeling of Detonations

Abstract

Three lectures were presented on recent advances in numerical modeling detonations entitled (1) Jet Initiation and Penetration of Explosives; (2) Explosive Desensitization by Preshocking; (3) Inert Metal‐Loaded Explosives.

Anomalous wave structure in magnetized materials described by non-convex equations of state

“…Van der Waals and Mie-Grüneisen models are simple models to investigate phenomena related to negative nonlinearity 1,[15][16][17]29,34,35 . We particularize the study for each non-convex model performing numerical experiments showing the anomalous wave phenomena that appears in the evolution of specific Riemann problems proposed in the literature for hydrodynamic codes.…”

“…Nevertheless, the ideal EOS does not represent laboratory environments as well as non-ideal equations of state do. Nonideal equations of state provide more realistic descriptions of the materials and the models representing them are more difficult to analyze and use in simulation codes [11][12][13][14][15][16][17][18][19][20] .…”

“…The study of the shock wave phenomena and material response at high pressure and strong magnetic field is commonly addressed by means of fluid models of compressible flows closed with non-ideal EOSs. The understanding of these models is a challenge and a research area of interest with important applications in industry, geophysics and astrophysics among other areas [1][2][3][15][16][17][18][21][22][23][24][25][26][27] .…”

A Virtual Test Facility for Simulating Detonation-Induced Fracture of Thin Flexible Shells

“…The hydrostatic pressure p is given by p = (γ −1)(ρE − 1 2 ρu T u−ρY q) with γ denoting the ratio of specific heats and q the heat release due to the chemical reaction per unit mass. A one-step reaction would typically be modeled with an Arrhenius law such as ψ = −kY ρ exp(−E A ρ/p) [9], but in the specific case considered here, we utilize the constant volume burn model suggested by Mader [10]. This model neglects the detailed chemical depletion, and therefore the internal detonation structure, but ensures the right propagation speed and the correct state in chemical equilibrium at all grid resolutions.…”

The Structure of Detonation Waves

“…We also describe calculations of detonations in liquid nitromethane, for which we use a HOM equation of state (see Mader, 1979) for both the condensed fuel and the products. The equations of state for the condensed phase is based on the Walsh and Christian technique (1955).…”