Numerical simulations are used to study the diffraction, decay, and re
ignition that occurs when a detonation propagates past an increase in
cross-sectional area in a rectangular tube. The computations solve the
time-dependent two-dimensional equations describing a reactive flow i
n an argon-diluted stoichiometric hydrogen-oxygen mixture at atmospher
ic pressure. Previous studies have shown that soon after transmission
to a larger area, the reaction front decouples from the leading shock
and forms a decaying blast wave (''bubble'') in the larger tube. Then,
depending on the initial conditions, the detonation either continues
to decay or is reignited as the bubble reflects off confining surfaces
. For a strongly overdriven initiating detonation, reignition occurs t
hrough an interaction between the bubble and the original contact surf
ace. For a more weakly driven system, reignition can occur in two ways
: either in the slip line and Mach stem of the Mach reflection formed
when the bubble reflects off the bottom surface of the tube, or by mul
tiple shock interactions that occur when the reflected bubble overtake
s the initial detonation front. The computations show the evolution an
d development of the cellular structure of the steady detonation front
.