An inclined collision of two vortex rings is simulated using the grid-free redistribution model proposed by the authors (2004), in which each vortex particle is redistributed into some elements in accordance with its deformed scale at each time step. In this study, the vortex element elimination scheme is proposed and introduced into the redistribution model. In the scheme, the local energy dissipation rate is calculated and the elements are eliminated considering the dissipation rate. In order to investigate the effect of the scheme, the flow patterns and analyzed energy spectra are compared with existing DNS data and results of experiments. The results show that the energy spectra and energy cascade mechanism are reasonably simulated and by introducing the element elimination scheme, the calculation load can be reduced without affecting the resolution of large-scale structures.