Surface structured tubes show a significant increase in efficiency of condensers, which can decrease the power consumption and CO2 emission of chemical plants. However, no generalized condensation model for surface structured tubes is developed so far, due to their complex structure. In future works, we aim to use computational fluid dynamics for the investigation of surface structured tubes. Therefore, in this study, we introduce a pure substance condensation model without heuristic or empirical parameters, by means of a new iteration scheme. We show the validation of the newly developed model using the Stefan problem and different simulation approaches for pure substance condensation on a horizontal smooth tube, which are compared to Nusselt's film theory and measurements. The developed model shows a very good simulation stability, even for high temperature gradients. The simulation results of the Stefan problem stand in excellent agreement with the analytic solution. The horizontal smooth tube simulation results give slightly lower heat transfer coefficients compared to Nusselt's film theory, but are in very good agreement to experimental data. (C) 2019 Elsevier Ltd. All rights reserved.