TY - JOUR

T1 - Detonation shock dynamics and comparisons with direct numerical simulation

AU - Aslam, Tariq D.

AU - Stewart, D. Scott

N1 - Funding Information:
TDA and DSS have been supported by the United States Air Force (USAF), Wright Laboratory, Armament Directorate, Eglin Air Force Base, F08630-95-1-0004. TDA has also been supported by the US Department of Energy.

PY - 1999/3

Y1 - 1999/3

N2 - Comparisons between direct numerical simulation (DNS) of detonation and detonation shock dynamics (DSD) is made. The theory of DSD defines the motion of the detonation shock in terms of the intrinsic geometry of the shock surface, in particular for condensed phase explosives the shock normal velocity, D(n), the normal acceleration, D(n), and the total curvature, κ. In particular, the properties of three intrinsic front evolution laws are studied and compared. These are (i) constant speed detonation (Huygens construction), (ii) curvature-dependent speed propagation (D(n)-κ relation) and (iii) curvature-and speed-dependent acceleration (D(n)-D(n)-κ relation). We show that it is possible to measure shock dynamics directly from simulation of the reactive Euler equations and that subsequent numerical solution of the intrinsic partial differential equation for the shock motion (e.g. a D(n)-D(n)-κ relation) reproduces the computed shock motion with high precision.

AB - Comparisons between direct numerical simulation (DNS) of detonation and detonation shock dynamics (DSD) is made. The theory of DSD defines the motion of the detonation shock in terms of the intrinsic geometry of the shock surface, in particular for condensed phase explosives the shock normal velocity, D(n), the normal acceleration, D(n), and the total curvature, κ. In particular, the properties of three intrinsic front evolution laws are studied and compared. These are (i) constant speed detonation (Huygens construction), (ii) curvature-dependent speed propagation (D(n)-κ relation) and (iii) curvature-and speed-dependent acceleration (D(n)-D(n)-κ relation). We show that it is possible to measure shock dynamics directly from simulation of the reactive Euler equations and that subsequent numerical solution of the intrinsic partial differential equation for the shock motion (e.g. a D(n)-D(n)-κ relation) reproduces the computed shock motion with high precision.

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U2 - 10.1088/1364-7830/3/1/005

DO - 10.1088/1364-7830/3/1/005

M3 - Article

AN - SCOPUS:0033104719

SN - 1364-7830

VL - 3

SP - 77

EP - 101

JO - Combustion Theory and Modelling

JF - Combustion Theory and Modelling

IS - 1

ER -