In this article, we investigate the validity of certain common simplif
ications in the chemical and thermophysical models used as input to mu
ltidimensional detonation simulations, derive a more accurate model, a
nd apply the model in two-dimensional studies of the structure detonat
ions in hydrogen-oxygen mixtures diluted with argon and nitrogen. In a
series of one-dimensional calculations, we examine the effects of (1)
approximation of the temperature dependence of the ratio of specific
heat, gamma, (2) varying the amount and rate of heat release, and (3)
varying the chemical induction time, and we compare all of these appro
ximations with a computation that uses a detailed model of the chemica
l kinetics and correct thermophysics. From these, we derive a simple f
orm for the temperature dependence of gamma and show that this gives g
ood results in comparison to the predictions of the detailed calculati
on for the detonation velocity and the thickness of the induction zone
. In a series of two-dimensional calculations, we investigate the effe
cts of using the more accurate simplified chemical models and varying
the type of diluent while maintaining the same dilutions. In agreement
with experiments, the mixture of hydrogen, oxygen, and argon mixture
shows regular detonation structures and clearly formed detonation cell
s, whereas the mixture of hydrogen, oxygen, and nitrogen shows highly
irregular cellular structure.