In recent years the improvements in computational capacity and the advances in numerical modelling techniques have produced a significant increase in the type of river processes that can be studied with the support of numerical models. Water quality and sediment transport are some of these processes, and it also applies to the case of wood transport. In the last five years several publications have proven the utility of numerical modelling of wood transport for predicting and better understanding wood dynamics, analyzing the influence of wood on flow conditions, and the interactions with infrastructures, and for including this phenomenon in the flood risk assessment. Besides these studies, numerical modelling of wood in rivers is still challenging, and different strategies can be used. We present and discuss some details of numerical strategies used in the simulation of wood transport within a 2D hydrodynamic model based on the finite volume method.