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A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry. (English) Zbl 0936.76064
The authors construct an additive semi-implicit projection scheme for simulation of unsteady combustion in two dimensions. The scheme relies on a zero-Mach number formulation of the compressible conservation equations with detailed chemistry. The governing equations are discretized in space using second-order differences, and integrated in time using a semi-implicit approach. Time integration of the evolution equations for species mass fraction, thermodynamic pressure, and density is performed using a semi-implicit, nonsplit scheme that combines a second-order predictor-corrector treatment of convection and diffusion terms, and a stiff integrator for the reaction source terms. Possible extensions of the present scheme to further improve efficiency are also discussed.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76V05 Reaction effects in flows
92E20 Classical flows, reactions, etc. in chemistry
80A25 Combustion
Full Text: DOI
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