The water transport in the gas diffusion layer (GDL) of a polymer electrolyte fuel cell (PEFC) was simulated using the Lattice Boltzmann method. By means of a stochastic geometry model an ensemble of microstructures was generated, all of them stochastically equivalent to the real structure of a GDL. The rough surface of the GDL defines the interface between the GDL and air channel of a PEFC. The water droplets emerging from the GDL were analyzed statistically regarding their contact angles. A short insight to the dynamics is given.