A numerical method has been developed to solve reacting flow systems with multi-step, stiff chemical kinetics. The advantage of this new method lies in the unique approach to the solution of species conservation equations, while the flow field is obtained in the conventional pressure-velocity coupling fashion, such as SIMPLEC. Unlike the widely-used operator-splitting method, in which the species solution is realized by the local ODE integration of chemistry and subsequent solution of flow transport equations, this new method for species solution distinguishes itself by 1) a full species jacobian matrix to linearize the stiff chemical source terms, 2) efficient solver for both spatially and species-wise coupled discrete system of species conservation equations.
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