A model for vapor condensation on vertical hydrophilic surfaces is developed using the entropic lattice Boltzmann method extended with a free surface formulation of the evaporation-condensation problem. The model is validated with the steady liquid film formation on a flat vertical wall. It is shown that the model is in a good agreement with the classical Nusselt equations for the laminar flow regime. Comparisons of the present model with other empirical models also demonstrate good agreement beyond the laminar regime. This allows the film condensation modeling at high film Reynolds numbers without fitting, tuning or empirical parameters. (C) 2015 Elsevier Ltd. All rights reserved.