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Model reductions with special CSP data
Authors:Sau H Lam
Affiliation:1. Div. of Fluid Mechanics, Dept. of Energy Sciences, Lund University, SE 22100 Lund, Sweden;2. School of Aeronautical, Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia
Abstract:The model reduction methodology of computational singular perturbation (CSP) is enhanced for chemical kinetics problems. The leading order converged CSP-refined fast basis vectors are obtained analytically by exploiting the special format of the given reaction-specific chemical kinetics data. The leading order net reaction rates of the fast reactions (after they are exhausted) are also obtained analytically. Taking advantage of these leading order analytical results, a new model reduction strategy is advocated. The implementation of this new strategy is very straightforward, and extraction of general insights on the reaction system is also easier.
Keywords:Chemical kinetics  Model reductions  Stiff equations  CSP
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