Numerical simulations of unsteady opposed-flow flames are performed using a
n adaptive time integration method designed for differential-algebraic syst
ems. The compressibility effect is considered in deriving the system of equ
ations, such that the numerical difficulties associated with a high-index s
ystem are alleviated. The numerical method is implemented for systems with
detailed chemical mechanisms and transport properties by utilizing the Chem
kin software. Two test simulations are performeds hydrogen/air diffusion fl
ames with an oscillatory strain rate and transient ignition of methane agai
nst heated air. Both results show that the rapid transient behavior is succ
essfully captured by the numerical method.