Complex colloidal fluids play an important role in many branches of industry. Examples include particle-stabilized emulsions in cosmetics, food and oil industries. Their understanding requires a study which resolves their microscopic structure, while still attaining sufficiently large length scales. The lattice Boltzmann method, owing to its high degree of locality, allows for such studies, when parallelized on modern supercomputers. However, exploiting these possibilities on hundreds of thousands of cores is a non-trivial task. We report on our experiences when employing large fractions of the IBM Blue Gene/P system at the Juelich Supercomputing Centre for our simulations and summarize recent results on particle-stabilized emulsions