A two dimensional numerical simulation has been performed to study reflecti
on processes of detonation waves on a wedge. The numerical scheme adopted i
s the Aux corrected transport scheme and a two-step chemical reaction is as
sumed for a stoichiometric oxyhydrogen mixture diluted with argon. Transver
se wave structures of the detonation are produced by artificial disturbance
s situated in front of a one-dimensional Chapman-Jouguet detonation wave. N
umerical grids are generated by solving a Laplace equation. Results show th
at in the case where Mach reflection occurs, the cells in the Mach stem are
smaller than those in the incident wave and are distorted in shape. There
is also an initiating stage during which the cells in the Mach stem are cre
ated. The critical angle beyond which Mach reflection cannot occur is discu
ssed.