KINETIC SCHEME REDUCTION VIA GEOMETRIC SINGULAR PERTURBATION TECHNIQUES

An effective reduction method based on geometric singular perturbation and center manifold techniques is proposed. This method eliminates th e fast and stable dynamics and gives the equations describing the slow ones. It is coordinate-free and extends the well-known quasi-steady-s tate method classically used for kinetic scheme reduction. This yields directly the slow dynamics even if the differential equations are not in standard two time-scale form (Tikhonov form). Application to combu stion kinetics including 13 species and 67 reactions is presented and simulations are given. Copyright (C) 1996 Elsevier Science Ltd