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Three-dimensional numerical simulations of flame kernel growth produced by a spark in a combustible propane-air mixture are presented. Different configurations using a conventional spark plug geometry in a combustion chamber with constant volume have been tested. The first simulation, corresponding to a homogeneous turbulent medium without a mean velocity field, presents the different phases of the flame kernel growth and its interaction with the electrodes. This simulation shows that the flame kernel growth and its structure are governed by the flow induced by the spark discharge and the geometry of the ground electrode. These results appear to be coherent with recent experimental visualizations. Secondly, a plane jet is applied in the combustion chamber to provoke a mean velocity field resembling tumble in real spark ignition engines; this is done in order to study the influence of three different orientations of the ground electrode.