Sputtering yields for tungsten under Be and Ne ion bombardment as well as angular dependencies of the sputtering yields were calculated using molecular dynamics simulation. The results for Ne are in good agreement with experimental data. The obtained results for Be-W sputtering are needed to calculate the impurity influx into the plasma when the divertor material - tungsten - is bombarded with Be ions in ITER tokamak plasma. A model that explains the universal behavior of near-threshold sputtering yields for light ion-induced sputtering of tungsten was proposed.