Abstract
Unsteady motions of one-dimensional reacting flows in planar, cylindrical, and spherical coordinates were numerically simulated using the explicit MacCormack scheme and the Beam-Warming scheme. The preexponential term of the reaction rate was determined by theoretical analysis to compare the numerical results with the solution of the asymptotic method. The explicit MacCormack scheme was proved to be more appropriate in this subject than the Beam-Warming scheme; this included both the accuracy of solutions and the computational efficiency. The MacCormack scheme could well reproduce a fluid dynamic interaction of reflected pressure waves and a plane flame when simulating confined flame propagation.
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