A Large Eddy Simulation (LES) model was developed to simulate the unsteady propagation of hydrogen-enriched methane/air premixed flames around toroidal vortices. Although the LES model does not take into account the non-equidiffusive effects associated with the hydrogen presence (preferential diffusion and non-unity Lewis number), it gives good predictions of experimental data previously obtained for lean mixtures with hydrogen mole fraction in the fuel (hydrogen plus methane) varying from 0 to 0.5. In particular, for each fuel composition, size and velocity of the toroidal vortex generated ahead of the propagating flame front are well reproduced along with the evolution of the flame shape and structure resulting from the interaction with the vortex. The negligible role played by the non-equidiffusive effects has been attributed to the fact that, at the conditions investigated, the characteristic time of hydrogen diffusion is one order of magnitude higher than the characteristic time of flame roll-up around the vortex. Copyright (C) 2013, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.