Computation of shock acceleration effects on detonation shock dynamics for explosives described by general equation of state

Abstract

The inclusion of detonation shock acceleration effects leads to an extended theory of detonation shock dynamics (DSD). The shock motion is described by an intrinsic partial differential equation specified in terms of the normal shock velociety, D n , the normal shock acceleration D n , and the curvature, κ . Earlier developments were based on analytical (asymptotic) calculations and carried out for the polytropic equation of state (EOS) that made detailed analysis tractable. But the demands of quantitative accuracy for engineering design require that real EOS constitutive forms be used with more functional complexity. In this paper, we present a numerical approach that can be used to compute the D n -D n -κ -relation for general EOS and rate-law forms.