Аннотация:We compare the results of our computations of a simplified one- dimensional model for a type II supernova with a free expansion stage by the STELLA and FRONT codes that are based on different hydrodynamic approaches. We describe the problems that arise in numerical simulations of such supernovae on Eulerian grids using explicit schemes and possible ways of their solution. The profiles of physical quantities and the light curves of a model supernova obtained using these different approaches are shown to agree well with each other. We have also demonstrated that the light curve of such a type II supernova in the $UX$ band has a characteristic double-peaked structure. The amplitudes of both peaks virtually coincide between themselves, while the duration of the second peak is longer than that of the first one by orders of magnitude.