Abstract
In this paper, two complementary chemistry model reduction methods for combustion simulations are further developed and combined. A progress variable model (PVM), which follows the idea of trajectory generated manifolds (TGLDM), is tailored for describing auto-ignition in situations where the influence of<br />molecular transport on chemical reaction is weak, like auto-ignition in media with weak scalar gradients. The other model using the reaction diffusion manifold approach (REDIM) is designed for situations where the interaction of chemistry with molecular transport is essential. The formulation of both models is discussed and implementational issues of each single model are given. Also, each model is tested in its respective range of applicability (quasi-homogeneous combustion under steady/unsteady physical boundary conditions for the PVM, combustion in fields with essential scalar gradients for REDIM). The coupling of the two models into a unified model, which covers combustion in both regimes and during the transitions between regimes, is discussed, based on the global quasi-linearization concept (GQL).
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