Large-scale numerical simulations have been carried out to analyze the internal
wave structure of a regular oscillating low-pressure H2 : O2 : Ar-Chapman-Jouguet
detonation in two and three space-dimensions. The chemical reaction is modeled
with a non-equilibrium mechanism that consists of 34 elementary reactions and uses
nine thermally perfect gaseous species. A high local resolution is achieved dynamically
at run-time by employing a block-oriented adaptive finite volume method that
has been parallelized efficiently for massively parallel machines. Based on a highly
resolved two-dimensional simulation we analyze the temporal development of the
ow field around a triple point during a detonation cell in great detail. In particular,
the influence of the reinitiation phase at the beginning of a detonation cell
is discussed. Further on, a successful simulation of the cellular structure in three
space-dimensions for the same configuration is presented. The calculation reproduces
the experimentally observed three-dimensional mode of propagation called
"rectangular-mode-in-phase" with zero phase shift between the transverse waves in
both space-directions perpendicular to the detonation front and shows the same
oscillation period as the two-dimensional case
