Observations with HINODE (JAXA/NASA) of the dynamics of the solar granulation have shown that exploding granules form large and evolving families of granules (trees of fragmenting granules or TFGs); the injection of corks in the horizontal flow revealed that corks form structures of the size of the meso-granulation (8000 km) contouring families (see https://doi.org/10.57745/TOUJG5). The numerical simulation of Stein (2012) exhibits results in agreement at the solar surface (photosphere), but allows to check what happens below the surface. We discovered that the simulation forms also meso-granules which match downflows at the depth of 6000-7000 km, located just below the corks that delineate photospheric families. We provide here the dataset which allowed us to find this result together with a 37 minutes sequence that was extracted from the 24 hours numerical sequence with all needed parameters (vector velocity and magnetic fields).