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An Arrhenius combustion model (chemically controlled model) with a spark-energy deposition model having a moving spherical ignition source in the Converge CFD code is validated with a single-cylinder spray-guided SIDI engine at idle-like lean-burn operating conditions with both single- and double-pulse fuel injection. It was found that a fine mesh is required for accurate solving of "laminar-flame" like reaction front propagation. A reduced chemistry mechanism for iso-octane is used as gasoline surrogate. The effects of spark advance were studied by the simulation and experiment. The results show that this modeling approach can provide reasonable predictions for the spray-guided SIDI engine with single- and double-pulse injections.