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The Method of Invariant Grid (MIG) is a model reduction technique based onthe concept of slow invariant manifold (SIM), which approximates the SIM by aset of nodes in the concentration space (invariant grid). In the present work,the MIG is applied to a realistic combustion system: An adiabatic constantvolume reactor with H2-air at stoichiometric proportions. By considering thethermodynamic Lyapunov function of the detailed kinetic system, the notion ofthe quasi-equilibrium manifold (QEM) is adopted as an initial approximation tothe SIM. One- and two-dimensional discrete approximations of the QEM(quasi-equilibrium grids) are constructed and refined via the MIG to obtain thecorresponding invariant grids. The invariant grids are tabulated and used tointegrate the reduced system. Excellent agreements between the reduced anddetailed kinetics is demonstrated.

Method of invariant grid for model reduction of hydrogen combustion