A hybrid two-phase mixture model of detonation diffraction with compliant confinement

Donald W. Schwendeman; Ashwani K. Kapila; William D. Henshaw

doi:10.1016/j.crme.2012.10.029

A hybrid two-phase mixture model of detonation diffraction with compliant confinement

Donald W. Schwendeman ¹; Ashwani K. Kapila ¹ ; William D. Henshaw ²

¹ Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
² Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA 94550, USA

Comptes Rendus. Mécanique, Out of Equilibrium Dynamics, Volume 340 (2012) no. 11-12, pp. 804-817.

Abstract

A multi-material two-phase hybrid model of heterogeneous explosives, with a reaction rate that is proportional to the gas-phase pressure excess above an ignition threshold, is examined computationally. The explosive is confined within a compliant inert, and the focus is on the behavior of an established detonation as it rounds a 90° corner and undergoes diffraction. The numerical approach, a variant of Godunovʼs method, is designed to capture interfaces between materials that can undergo phase change, and extends previous work of the authors on rigidly-confined two-phase detonations. The dependence of the post-diffraction conduct on the strength of the confinement is explored by holding the reaction-rate prefactor and the ignition threshold fixed, and considering confiners of two different strengths. The aim is to determine whether a detonation that turns the corner successfully when rigidly confined can experience failure when the confinement is compliant.

Published online: 2012-11-01

DOI: 10.1016/j.crme.2012.10.029

Keywords: Detonation, Diffraction, Dead zone, Compliant confinement, Multi-material two-phase model, Interface capturing

Author's affiliations:

Donald W. Schwendeman ¹; Ashwani K. Kapila ¹; William D. Henshaw ²

¹ Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
² Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA 94550, USA

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Donald W. Schwendeman; Ashwani K. Kapila; William D. Henshaw. A hybrid two-phase mixture model of detonation diffraction with compliant confinement. Comptes Rendus. Mécanique, Out of Equilibrium Dynamics, Volume 340 (2012) no. 11-12, pp. 804-817. doi : 10.1016/j.crme.2012.10.029. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.029/

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