Abstract
A fourth-order shock-capturing scheme has been developed for steady-state and time-accurate simulation of chemically reacting flows with finite rate chemical kinetics. A diagonal algorithm and a local implicit technique are presented to remove the stiffness of chemical reaction and to achieve high computation efficiency. A fully implicit code is obtained by combining the present algorithm with the lower-upper scheme. The validity of this code is demonstrated by calculating the unsteady shocks in an inviscid supersonic duct and by comparing the results with the previous calculation. Then the code is used to calculate the ignition of a premixed hydrogen/air reacting flow in a ramped duct and nonpremixed hydrogen/air streams as well as nonpremixed methane/air streams in a supersonic mixing layer. The efficiency and robustness of the present scheme are shown through these numerical simulations.
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