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Level-Set Techniques Applied to Unsteady Detonation Propagation

Summary: Level-Set Techniques Applied to Unsteady
Detonation Propagation
D. Scott Stewart1 Tariq Aslam1 Jin Yao1 and John B. Bdzil2
Theoretical and Applied Mechanics
University of Illinois, Urbana, Illinois, 61801, USA
Los Alamos National Laboratory, Los Alamos, New Mexico, 87545, USA
1 Introduction
Here we are concerned with describing the dynamics of multi-dimensional det-
onation as a self-propagating surface. The detonation shock surface has been
shown under certain circumstances to be governed by an intrinsic relation be-
tween the normal shock velocity and the local curvature, obtaining a Dn -
relation. Once the initial shock position is given, the subsequent motion of the
shock can be determined by solving a scalar partial differential equation (PDE)
for the shock position. The ingredients for prediction of the motion of the shock,
include the Dn - relation, determined from theory or experiment, the ini-
tial configuration of the shock and confinement boundary conditions. Thus we
are also concerned about efficient numerical solution of the scalar PDE in three-
dimensions, in cases that include multiply-connected and disjoint shock surfaces.


Source: Aslam, Tariq - Los Alamos National Laboratory


Collections: Physics