An induction parameter model has been constructed for the simulation o
f shock-induced combustion that incorporates the repro-modeling approa
ch for the description of the energy release phase. The model applies
only explicit, algebraic functions for the description of the chemical
kinetics. These functions parameterize a set of data calculated from
homogeneous combustion simulations using a complete and detailed react
ion mechanism. Based on this method a model has been created for the s
imulation of shock-induced combustion of hydrogen in an argon atmosphe
re. The parameterized model approximates the results of the full chemi
stry very closely, but the algebraic functions can be computed in a fr
action of the time of the full chemistry solution. We use the paramete
rized model in one- and two-dimensional reactive flow simulations. The
results simulate experimental results well, including transitions to
detonations and the propagation of detonation waves. (C) 1998 by The C
ombustion Institute.