Time-accurate numerical simulations are used to study the dynamic deve
lopment of oblique detonations on accelerating projectiles in ram acce
lerators. These simulations show that the oblique detonation can be st
abilized on the projectile. The high pressure generated behind the det
onation can result in accelerations up to 10(6)G and propel the projec
tile to velocities higher than 4.0 km/s. The detonation structure on t
he projectile is sensitive to the projectile geometry. A small change
in the projectile shape is sufficient to alter the overall detonation
structure and significantly affect the pressure distribution on the pr
ojectile. In order to maximize the thrust, an appropriate projectile s
hape has to be chosen to generate the detonation structure just behind
the widest part of the projectile body. The projectile acceleration a
lso has strong effects on the flow field and the detonation structure.
During the acceleration, the location of the oblique detonation moves
upstream from one reflected shock to another. However, once the deton
ation is stabilized behind the upstream shock, it remains at the new l
ocation until the transition to the next upstream shock occurs. In the
simulations, the Non-Inertial-Source (NIS) technique was used to accu
rately represent of the projectile acceleration. Also, the Virtual-Cel
l-Embedding (VCE) method was employed to efficiently treat the complex
projectile geometry on cartesian grids.