Abstract
A new spectral method is proposed to speedup sensitivity analysis (SA) for ignition and extinction of perfectly stirred reactors (PSR). The method takes advantage of the linear dependency in the stoichiometric coefficient vectors of the elementary reactions in detailed kinetic mechanisms. Compared with the conventional SA that needs to perturb each elementary reaction, the spectral method lumps the elementary reactions into a smaller set of semi-global reactions that are basis vectors for the elementary reaction set, and perturbs each semi-global reaction instead. The sensitivities for the elementary reactions are then computed as linear combinations of the sensitivities for the semi-global reactions. As a result, the computational cost of the spectral method scales as the number of species, while that of the conventional method scales as the number of reactions. The proposed method is demonstrated for PSR extinction using a detailed H2 mechanism.
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