In this paper the ADM1 model that has been developed by the IWA Task Group for Mathematical Modelling of Anaerobic Digestion Processes is summarized. The model was applied to a variety of anaerobic digestion scenarios that are presented in the literature and for each data set the model predictions were compared to experimental values. Based upon the model applications it was apparent that for accurate model simulations the influent sludge should be well characterized in terms of biodegradable and recalcitrant COD and also nitrogenous compounds. In almost all cases the model was able to reflect the trends that were observed in the experimental data however the concentrations of VFAs were consistently over-predicted in digesters with short SRTs. It would appear that the inhibition functions associated with low pH values tend to overestimate the impact of pH on biokinetic rates for the acid-consuming bacteria. Application of the model with flow through of active biomass between digesters in series in temperature-phased systems needs to be further evaluated in the future.