 
Summary: Detonation shock dynamics and comparisons
with direct numerical simulation
Tariq D. Aslam # , and D. Scott Stewart +
August 17, 1998
Abstract
Comparisons between direct numerical simulation (DNS) of deto
nation and detonation shock dynamics (DSD) is made. The theory of
DSD defines the motion of the detonation shock in terms of intrinsic
geometry of the shock surface, in particular for condensed phase ex
plosives the shock normal velocity, D n , the normal acceleration, —
D n ,
and the total curvature, #. In particular, the properties of three in
trinsic front evolution laws are studied and compared. These are 1)
Constant speed detonation (Huygens' construction), 2) Curvature de
pendent speed propagation (D n  # relation), and 3) Curvature and
speed dependent acceleration ( —
D n  D n  # 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 di#erential equation for the shock motion (e.g.
