Reduction of linear kinetic systems with multiple scales

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By this author: A. Blouza ;&nbsp; F. Coquel ;&nbsp; F. Hamel

Authors: A. Blouza¹; F. Coquel²; F. Hamel²

Source: Combustion Theory and Modelling, Volume 4, Number 3, September 2000 , pp. 339-362(24)

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Abstract:

We present a simple and general reduction algorithm for stiff monomolecular kinetic systems. The reduction is based on algebraic techniques and consists in eliminating the fastest dynamics in the initial system without any change of basis. This process is systematic and is not based on chemical conventional assumptions or on singular perturbation techniques. Systems can be reduced even if they are not in the Tikhonov form. This reduction process is applied to kinetic systems with kinetic constants belonging to different scales. Error estimates for all species are given. Numerical tests are performed.

Document Type: Miscellaneous

Affiliations: 1: Laboratoire d'Analyse et Modélisation Stochastique, Université de Rouen, Rouen, France 2: Laboratoire d'Analyse Numérique, Université Paris VI, Paris, France

Publication date: 2000-09-01