Summary: ##
Level­Set Techniques Applied to Unsteady
Detonation Propagation
D. Scott Stewart 1 Tariq Aslam 1 Jin Yao 1 and John B. Bdzil 2
1 Theoretical and Applied Mechanics
University of Illinois, Urbana, Illinois, 61801, USA
2 Los Alamos National Laboratory, Los Alamos, New Mexico, 87545, USA
1 Introduction
Here we are concerned with describing the dynamics of multi­dimensional det­
onation as a self­propagating 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 D n - #
relation. Once the initial shock position is given, the subsequent motion of the
shock can be determined by solving a scalar partial di#erential equation (PDE)
for the shock position. The ingredients for prediction of the motion of the shock,
include the D n - # relation, determined from theory or experiment, the ini­
tial configuration of the shock and confinement boundary conditions. Thus we
are also concerned about e#cient numerical solution of the scalar PDE in three­
dimensions, in cases that include multiply­connected and disjoint shock surfaces.
This has led us to consider the level­set techniques of Osher and Sethian [1],

Source: Aslam, Tariq - Los Alamos National Laboratory

Collections: Physics