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Reduction of chemical kinetics in air pollution modeling. (English) Zbl 0961.92038
Summary: We investigate the use of reduction techniques in air pollution modeling. The reduction of chemical kinetics is performed on the basis of a timescale analysis and of lumping. Lumping techniques are widely used in air pollution modeling and consist of replacing some pure chemical species by linear combinations of species. We focus here on the theoretical justification of such techniques. We propose an algorithm in order to build up lumped species in a systematic way. An application to three kinetic schemes coupled with diffusion is presented in a monodimensional case. This justifies the way we couple a reduced kinetic scheme with other processes.

92E20 Classical flows, reactions, etc. in chemistry
92D40 Ecology
65C20 Probabilistic models, generic numerical methods in probability and statistics
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