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A modified version of an essentially non‐oscillatory high resolution scheme is applied to the simulation of two‐dimensional combustion waves. Through the splitting of the governing equations the method is applied to the homogeneous system and the source terms are approximated by means of a Runge‐Kutta third‐order scheme. The results obtained in the modelling of a high speed wave show an improvement with respect to a semi‐implicit scheme in the reconstruction of the shock propagation.

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